Course Descriptions: Subject/Course Search Results
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Definitions of Course Characteristics
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| Course: | MTH 100E Intermediate Algebra Workshop for the Mathematics Enrichment Program | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 1 Lab Hours: 4
1(0-4)
| | Corequisite: | MTH 1825 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in intermediate algebra for students in the Mathematics Enrichment Program. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 103 College Algebra | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 1825) or designated score on Mathematics Placement test | | Not open to students with credit in: | MTH 116 | | Description: | Number systems; functions and relations; exponents and logarithms; elementary theory of equations; inequalities; and systems of equations. | | Semester Alias: | LBS 117 | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 103E College Algebra Workshop for the Mathematics Enrichment Program | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 1 Lab Hours: 4
1(0-4)
| | Corequisite: | MTH 103 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in college algebra for students in the Mathematics Enrichment Program. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 110 Finite Mathematics and Elements of College Algebra | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 5 Lecture/Recitation/Discussion Hours: 5
5(5-0)
| | Prerequisite: | (MTH 1825) or designated score on Mathematics Placement test | | Not open to students with credit in: | MTH 112 | | Description: | Functions and graphs. Equations and inequalities. Systems of equations. Matrices. Linear programming. Simplex algorithm. Probability and statistics. | | Effective Dates: | SUMMER 2005 - Open | | View all versions of this course |
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| Course: | MTH 110E Finite Mathematics and Elements of College Algebra for Mathematics Enrichment | | Semester: | Spring of every year | | Credits: | Total Credits: 1 Lab Hours: 2
1(0-2)
| | Corequisite: | MTH 110 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in finite mathematics and elements of college algebra. | | Effective Dates: | SPRING 2006 - Open |
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| Course: | MTH 112 Finite Mathematics: Applications of College Algebra | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 103) or designated score on Mathematics Placement test | | Not open to students with credit in: | MTH 110 | | Description: | Combinatorics, probability and statistics, mathematics of finance, geometry, transition matrices, and linear programming. The course emphasizes applications and includes work using spreadsheets. | | Semester Alias: | MTH 106 | | Effective Dates: | SUMMER 2005 - Open | | View all versions of this course |
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| Course: | MTH 114 Trigonometry | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 103 | | Not open to students with credit in: | MTH 116 | | Description: | Radian and degree measure of angles. Definitions and graphs of trigonometric functions and their inverses. Solving trigonometric equations. Applications including identities, indirect measurement and trigonometric modeling. | | Semester Alias: | MTH 104 | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
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| Course: | MTH 116 College Algebra and Trigonometry | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 5 Lecture/Recitation/Discussion Hours: 5
5(5-0)
| | Prerequisite: | (MTH 1825) or designated score on Mathematics Placement test | | Not open to students with credit in: | MTH 103 | | Description: | Functions and graphs. Equations and inequalities. Exponential and logarithmic functions. Trigonometric functions. Systems of equations. Binomial theorem. | | Semester Alias: | LBS 117 | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 116E Precalculus Workshop for the Emerging Scholars Program | | Semester: | Fall of every year | | Credits: | Total Credits: 1 Lab Hours: 4
1(0-4)
| | Corequisite: | MTH 116 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in precalculus for students in the Emerging Scholars Program. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 124 Survey of Calculus I | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 103 or MTH 116) or designated score on Mathematics Placement test | | Not open to students with credit in: | LB 118 or MTH 132 or MTH 152H | | Description: | Study of limits, continuous functions, derivatives, integrals and their applications. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 124E Survey of Calculus with Applications I Mathematics Enrichment Workshop | | Semester: | Fall of every year | | Credits: | Total Credits: 1 Lab Hours: 4
1(0-4)
| | Corequisite: | MTH 124 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in Survey of Calculus with Applications I for students in the Mathematics Enrichment Program. | | Effective Dates: | FALL 2001 - Open |
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| Course: | MTH 126 Survey of Calculus II | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 124 | | Not open to students with credit in: | MTH 133 or MTH 153H | | Description: | Application of partial derivatives, integrals, optimization of functions of several variables and differential equations. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
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| Course: | MTH 132 Calculus I | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 103 and MTH 114) or (MTH 116 or designated score on Mathematics Placement test ) | | Not open to students with credit in: | LB 118 or MTH 152H | | Description: | Limits, continuous functions, derivatives and their applications. Integrals and the fundamental theorem of calculus. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 132E Calculus I Workshop for the Emerging Scholars Program | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 2 Lab Hours: 6
2(0-6)
| | Corequisite: | MTH 132 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in Calculus I for students in the Emerging Scholars Program. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 133 Calculus II | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 4 Lecture/Recitation/Discussion Hours: 4
4(4-0)
| | Prerequisite: | MTH 132 or MTH 152H | | Not open to students with credit in: | LB 118 or LB 119 or MTH 153H | | Description: | Applications of the integral and methods of integration. Improper integrals. Polar coordinates and parametric curves. Sequences and series. Power series. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 133E Calculus II Workshop for the Emerging Scholars Program | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 1 Lab Hours: 4
1(0-4)
| | Corequisite: | MTH 133 concurrently | | Restrictions: | Approval of department. | | Description: | Enrichment topics in Calculus II for students in the Emerging Scholars Program. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 152H Honors Calculus I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Restrictions: | Open to students in the Honors College or approval of department. | | Not open to students with credit in: | LB 118 or MTH 132 | | Description: | Limits, continuous functions, derivatives, integrals, fundamental theorem of calculus. Special emphasis on concepts and theory. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 153H Honors Calculus II | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 152H | | Restrictions: | Open to students in the Honors College or approval of department. | | Not open to students with credit in: | LB 119 or MTH 133 | | Description: | The integral. Improper integrals. Polar coordinates and parametric curves. Sequences and series. Power and Taylor series. Special emphasis on concepts and theory. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 1825 Intermediate Algebra | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Description: | Properties of real numbers. Factoring. Roots and radicals. First and second degree equations. Linear inequalities. Polynomials. Systems of equations. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 201 Elementary Mathematics for Teachers I | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 103 or MTH 110 or MTH 116 or MTH 124 or MTH 132 or MTH 152H or LB 118) or designated score on Mathematics Placement test | | Restrictions: | Open to students in the Child Development major or in the Education major or in the Special Education-Deaf Education major or in the Special Education-Learning Disabilities major or in the Teacher Certification Internship Year Studies Program. | | Description: | Mathematics needed for K-8 teaching. Place value and models for arithmetic, mental math, word problems, and algorithms. Factors, primes, proofs, and prealgebra. Fractions, ratios, rates, and percentages. Negative, rational, and real numbers. Special emphasis on the appropriate sequential order for teaching. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 202 Elementary Mathematics for Teachers II | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 201 | | Restrictions: | Open to students in the Child Development major or in the Education major or in the Special Education-Deaf Education major or in the Special Education-Learning Disabilities major or in the Teacher Certification Internship Year Studies Program. | | Description: | A continuation of MTH 201. Geometry, measurement, and elementary data analysis. | | Effective Dates: | SUMMER 2008 - Open | | View all versions of this course |
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| Course: | MTH 234 Multivariable Calculus | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 4 Lecture/Recitation/Discussion Hours: 4
4(4-0)
| | Prerequisite: | MTH 133 or MTH 153H or LB 119 | | Not open to students with credit in: | MTH 254H or LB 220 | | Description: | Vectors in space. Functions of several variables and partial differentiation. Multiple integrals. Line and surface integrals. Green's and Stokes's theorems. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 235 Differential Equations | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 4
3(4-0)
| | Prerequisite: | MTH 234 or MTH 254H or LB 220 | | Restrictions: | Not open to students in the Department of Mathematics or in the Lyman Briggs Computational Mathematics Coordinate Major or in the Lyman Briggs Mathematics Coordinate Major. | | Not open to students with credit in: | MTH 255H | | Description: | Separable and exact equations. Linear equations and variation of parameters. Higher order linear equations. Laplace transforms. Systems of first-order linear equations. Introduction to partial differential equations and Fourier series. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 254H Honors Multivariable Calculus | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 153H | | Restrictions: | Open to students in the Honors College or approval of department. | | Not open to students with credit in: | LB 220 or MTH 234 | | Description: | Vectors in space. Functions of several variables and partial differentiation. Multiple integrals. Line and surface integrals. Green's and Stokes's Theorems. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 255H Honors Differential Equations | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 254H | | Restrictions: | Not open to students in the Bachelor of Arts in Mathematics or Bachelor of Science in Mathematics or Lyman Briggs School Mathematics coordinate majors. | | Not open to students with credit in: | MTH 235 | | Description: | Topics chosen from separable and exact equations, linear equations and variation of parameters, series solutions, higher order linear equations, Laplace transforms, systems of first-order linear equations, nonlinear equations and stability, introduction to partial differential equations. | | Effective Dates: | SUMMER 2005 - Open | | View all versions of this course |
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| Course: | MTH 290 Directed Study | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Variable from 1 to 4
| | Reenrollment Information: | A student may earn a maximum of 6 credits in all enrollments for this course. | | Description: | Faculty directed study of selected mathematical topics. | | Effective Dates: | FALL 1992 - Open |
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| Course: | MTH 301 Foundations of Higher Mathematics | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 133 or MTH 153H or LB 119 | | Description: | Elementary set theory including permutations, combinations, cardinality theorems, relations functions and quotient sets. Basic principles of logic and proof techniques. Elementary number theory and abstract algebra. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 309 Linear Algebra I | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 234 or MTH 254H or LB 220) and completion of Tier I writing requirement | | Description: | Matrices, systems of linear equations, vector spaces, linear transformations, inner products and orthogonal spaces, eigenvalues and eigenvectors, and applications to geometry. A writing course with emphasis on proofs. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 310 Abstract Algebra I and Number Theory | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 309) and completion of Tier I writing requirement | | Description: | Structure of the integers, congruences, polynomial rings, and ideals. A writing course with emphasis on proofs. | | Effective Dates: | FALL 2002 - Open | | View all versions of this course |
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| Course: | MTH 314 Matrix Algebra with Applications | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 234 or MTH 254H or LB 220 | | Restrictions: | Not open to students in the Department of Mathematics or in the Lyman Briggs Computational Mathematics Coordinate Major or in the Lyman Briggs Mathematics Coordinate Major. | | Description: | Problem-solving and applications in matrix algebra for scientists and engineers. Vectors, matrices, linear transformations, inner products, dimension, eigenvalues and eigenvectors. Applications to systems of equations and to geometry. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 320 Analysis I | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 234 or MTH 254H or LB 220) and (MTH 309 or MTH 310) | | Not open to students with credit in: | MTH 428H | | Description: | Convergence of sequences and series. Upper and lower limits, completeness, limits and continuity. Derivatives. Uniform convergence. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 330 Higher Geometry | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 301 or MTH 309 | | Description: | Topics in transformations: isometries, similarities, inversion. Advanced Euclidean geometry: theorems of Menelaus, Ceva, and Desargue. Cross ratio, harmonic points, analytic, metric, and vector methods, and convexity. | | Effective Dates: | SPRING 2007 - Open | | View all versions of this course |
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| Course: | MTH 340 Ordinary Differential Equations I | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 309 | | Description: | Techniques for solving differential equations, existence and uniqueness theorems, qualitative theory, Fourier series and applications. | | Effective Dates: | SPRING 2002 - Open |
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| Course: | MTH 360 Theory of Mathematical Interest | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 234 or concurrently) or (MTH 254H or concurrently) or (LB 220 or concurrently) or approval of department | | Description: | Measurement of interest rates, basic problems in interest theory, basic annuities, continuous and varying annuities, yield rates, amortization, bonds and other securities, practical applications, and stochastic approaches to interest. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 370 Mathematical Biology | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 132 or LB 118) and (MTH 133 or LB 119) and (BS 110 or BS 111 or BS 148H or BS 149H or LB 144 or LB 145 or LB 148H or LB 149H) | | Description: | First-order linear ordinary differential equations and systems. Qualitative theory of nonlinear continuous dynamical systems. Reaction-diffusion equations. Numerical analysis and computer simulation of solutions to nonlinear systems of differential equations. Numerical linear algebra. Applications to biological sciences. | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | STT 371 Statistical Biology | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 132 or LB 118 or approval of department) and (STT 231 or STT 351 or STT 421 or STT 441 or STT 464 or approval of department) and (BS 110 or BS 111 or BS 148H or BS 149H or LB 144 or LB 145 or LB 148H or LB 149H) | | Description: | Probability models in biological systems. Design and analysis of biological experiments including ANOVA models. Multiple testing. Classification and clustering for genomic and proteomic data. Computational software packages. Internet-based query systems. | | Interdepartmental With: | Mathematics | | Administered By: | Statistics and Probability | | Effective Dates: | FALL 2007 - Open | | View all versions of this course |
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| Course: | MTH 411 Abstract Algebra II | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 310 | | Not open to students with credit in: | MTH 418H | | Description: | Continuation of MTH 310. Permutation groups, groups of transformations, normal subgroups, homomorphism theorems, modules. Principal ideal rings, unique factorization domains, noncommutative rings, rings of fractions, ideals. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 414 Linear Algebra II | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 309 or MTH 314 | | Not open to students with credit in: | MTH 415 | | Description: | Linear transformations on finite dimensional vector spaces. Invariant subspaces, rank, eigenvalues and eigenvectors. Canonical forms. Bilinear and multilinear forms. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
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| Course: | MTH 415 Applied Linear Algebra | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 235 or MTH 255H or MTH 340) and (MTH 309 or MTH 314) | | Not open to students with credit in: | MTH 414 | | Description: | Matrices and linear algebra. General linear systems of equations. Least squares minimization techniques. Eigenvalues and eigenvectors, spectral decompositions, and exponentials. | | Effective Dates: | SPRING 2008 - Open | | View all versions of this course |
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| Course: | MTH 416 Introduction to Algebraic Coding | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 309 | | Description: | Concepts and techniques of abstract algebra applied to the design of communication systems for use in imperfect circumstances. Theory of codes designed by algebraic means. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
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| Course: | MTH 417 Topics in Number Theory | | Semester: | Spring of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 310 | | Description: | Congruences of higher degree, primitive roots and quadratic reciprocity. Number-theoretic functions, algebraic numbers. Dirichlet Series, p-order expansion, continued fractions. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 418H Honors Algebra I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | Completion of Tier I writing requirement. | | Recommended Background: | MTH 309 | | Restrictions: | Approval of department. | | Not open to students with credit in: | MTH 411 | | Description: | Theory of groups, Sylow theory, the structure of finite Abelian groups, ring theory, ideals, homomorphisms, and polynomial rings. | | Effective Dates: | SPRING 2002 - Open | | View all versions of this course |
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| Course: | MTH 419H Honors Algebra II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 418H | | Restrictions: | Approval of department. | | Description: | Algebraic field extensions, Galois theory. Classification of finite fields. Fundamental Theorem of Algebra. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 421 Analysis II | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 320 | | Not open to students with credit in: | MTH 424 or MTH 429H | | Description: | Continuation of MTH 320. Euclidean spaces: differentiation and integration in higher dimensions. Convergence of sequences of functions. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 424 Applied Advanced Calculus | | Semester: | Spring of every year, Summer of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 235 or MTH 255H | | Restrictions: | Not open to students in the Department of Mathematics. | | Not open to students with credit in: | MTH 421 or MTH 429H | | Description: | Vector analysis for scientists and engineers. Inverse and implicit function theorems, divergence and curl, and Stokes's theorem. Sequences and series. Uniform convergence. | | Effective Dates: | SPRING 2008 - Open | | View all versions of this course |
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| Course: | MTH 425 Complex Analysis | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 320 | | Description: | Analytic functions of a complex variable, Cauchy integral theorem, conformal maps, bilinear transformation, harmonic functions. Classification of singularities, residues, conformal mappings. | | Effective Dates: | FALL 2005 - Open | | View all versions of this course |
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| Course: | MTH 428H Honors Analysis I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Restrictions: | Approval of department. | | Not open to students with credit in: | MTH 320 | | Description: | Honors analysis with emphasis on metric topology, differentiation, and integration in higher dimensional settings. Convergence of sequences of functions. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 429H Honors Analysis II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 428H | | Restrictions: | Approval of department. | | Not open to students with credit in: | MTH 421 or MTH 424 | | Description: | Continuation of MTH 428H. Convergence of sequences of functions, inverse and implicit function theorems, integration in higher dimensional settings. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | MTH 432 Axiomatic Geometry | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 309 | | Description: | Axiomatic systems and finite geometries: axioms of Euclidean and hyperbolic geometry, the Poincare model, independence of the parallel postulate. Classical constructions and the impossibility of angle trisection. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
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| Course: | MTH 441 Ordinary Differential Equations II | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (MTH 235 or MTH 255H or MTH 340) and (MTH 309 or MTH 415 or MTH 314) | | Description: | Existence and uniqueness theorems, linearization, stability theory, and phase space analysis. | | Effective Dates: | SPRING 2008 - Open | | View all versions of this course |
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| Course: | MTH 442 Partial Differential Equations | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 235 or MTH 255H or MTH 340 | | Description: | Classification and canonical forms for second order partial differential equations. Well-posed boundary and initial value problems for the wave equation, the heat equation, and the Laplace equation. | | Effective Dates: | SPRING 2008 - Open | | View all versions of this course |
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| Course: | MTH 443 Boundary Value Problems for Engineers | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 235 or MTH 255H | | Restrictions: | Not open to students in the Department of Mathematics. | | Description: | Fourier series and orthogonal functions. Method of separation of variables for partial differential equations. Sturm-Liouville problems. | | Effective Dates: | SPRING 2008 - Open | | View all versions of this course |
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| Course: | MTH 451 Numerical Analysis I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | (CSE 131 or CSE 231) and (MTH 309 or MTH 314 or MTH 415) and (MTH 235 or MTH 255H or MTH 340) | | Description: | Numerical solution of linear and nonlinear algebraic equations and eigenvalue problems. Curve fitting. Interpolation theory. Numerical integration, differentiation, and solution of differential equations. Algorithms and computer programming. | | Semester Alias: | MTH 351 | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
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| Course: | MTH 452 Numerical Analysis II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 451 | | Description: | A continuation of MTH 451. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
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| Course: | STT 455 Actuarial Models | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | STT 441 and MTH 360 | | Description: | Stochastic models used in insurance. Survival distributions, life insurance, life annuities, benefit premiums, benefit reserves, and analysis of benefit reserves. | | Interdepartmental With: | Mathematics | | Administered By: | Statistics and Probability | | Effective Dates: | SPRING 2006 - Open | | View all versions of this course |
|
| Course: | MTH 457 Introduction to Financial Mathematics | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 309 and (MTH 340 or MTH 235 or MTH 255H) and (STT 441 or STT 351) | | Description: | Mathematical overview of basic financial instruments. A unified partial differential equation approach to model derivative securities. Partial differential equations in financial mathematics, Black-Scholes equation. Numerical methods for valuing derivatives. | | Effective Dates: | SPRING 2008 - Open | | View all versions of this course |
|
| Course: | MTH 461 Metric and Topological Spaces | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 320 or MTH 428H | | Description: | Set theory, metric spaces, topological spaces, maps, product and quotient topologies. Connected and compact spaces, separation axioms, pointwise and uniform convergence. | | Effective Dates: | SPRING 2002 - Open | | View all versions of this course |
|
| Course: | MTH 481 Discrete Mathematics I | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 309 | | Description: | Binomial and multinomial theorems. Graphs and digraphs, graph coloring. Generating functions, asymptotic analysis, trees. Representing graphs in computers. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
|
| Course: | MTH 482 Discrete Mathematics II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | MTH 481 | | Recommended Background: | MTH 310 | | Description: | Recurrence and generating functions, Ramsey theory. Block designs, Latin squares, Eulerian and Hamiltonian paths. Minimum spanning trees, network flows. | | Effective Dates: | FALL 2003 - Open | | View all versions of this course |
|
| Course: | MTH 490 Directed Studies | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Variable from 1 to 4
| | Reenrollment Information: | A student may earn a maximum of 9 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Faculty directed study in a selected mathematical topic. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
|
| Course: | MTH 496 Capstone in Mathematics | | Semester: | Fall of every year, Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | Completion of Tier I writing requirement. | | Restrictions: | Approval of department. | | Description: | A capstone course integrating several areas of mathematics. | | Effective Dates: | FALL 1999 - Open | | View all versions of this course |
|
| Course: | MTH 802B Critical Content of School Mathematics: Geometry and Discrete Mathematics | | Semester: | Spring of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 330 and MTH 481 and MTH 801 | | Restrictions: | Open only to graduate students. | | Description: | Foundations and development, evolution and applications in the school curriculum. Connections among content areas. Learning and teaching mathematics. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 810 Error-Correcting Codes | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 411 or MTH 414 or MTH 415 | | Description: | Block codes, maximum likelihood decoding, Shannon's theorem. Generalized Reed-Solomon codes, modification of codes, subfield codes. Alterant and Goppa codes, cyclic codes and BCH codes. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 818 Algebra I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 411 | | Description: | Group theory: Sylow theory, permutation groups, Jordon-Hoelder theory, Abelian groups, free groups. Ring theory: algebra of ideals, unique factorization, polynomial rings, finitely generated modules over PIDs. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 819 Algebra II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 818 | | Description: | Modules and vector spaces, projectives modules, tensor algebra. Fields and Galois groups, algebraic and transcendental numbers, non-commutative rings. The Jacobson radical, the structure of semisimple rings with the descending chain condition. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 828 Real Analysis I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 421 and MTH 461 | | Description: | Lebesgue measure on real line, general measure theory. Convergence theorems, Lusin's theorem, Egorov's theorem, Lp-spaces, Fubini's theorem. Functions of bounded variation, absolutely continuous functions, Lebesgue differentiation theorem. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 829 Complex Analysis I | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 421 and MTH 425 | | Description: | Cauchy theorem, identity principle, Liouville's theorem, maximum modulus theorem. Cauchy formula, residue theorem, Rouche's theorem. Casorati-Weierstrass theorem, Arzela-Ascoli theorem. Conformal mapping, Schwarz lemma, Riemann mapping theorem. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 840 Chaos and Dynamical Systems | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | (MTH 441 and MTH 320 and MTH 414) and some experience with mathematical software such as Mathematica or Matlab. | | Description: | Chaotic or random motions in differential and difference equations. | | Effective Dates: | SPRING 2002 - Open | | View all versions of this course |
|
| Course: | MTH 841 Boundary Value Problems I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 414 and MTH 421 | | Description: | Methods for solving boundary and initial value problems for ordinary and partial differential equations. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 842 Boundary Value Problems II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 841 | | Description: | Continuation of MTH 841. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 843 Survey of Industrial Mathematics | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | ((MTH 414 or MTH 415) or Some familiarity with mathematical software such as Mathematica, Matlab, etc.) and (MTH 421 and MTH 442) | | Restrictions: | Open only to master's students in the Industrial Mathematics major or approval of department. | | Description: | Fundamentals of mathematical modeling in government and industry, including modes of industrial communication. | | Effective Dates: | FALL 1999 - Open |
|
| Course: | MTH 844 Projects in Industrial Mathematics | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | ((MTH 414 or MTH 415) or some familiarity with mathematical software such as Mathematica or Matlab.) and (MTH 421 and MTH 442 and MTH 843) | | Restrictions: | Open only to master's students in the Industrial Mathematics major or approval of department. | | Description: | Participation as a member of a 3-4 person team on a significant industrial problem, with participation of an industrial liaison, including project report generation and reporting. | | Effective Dates: | SPRING 2002 - Open | | View all versions of this course |
|
| Course: | MTH 848 Ordinary Differential Equations | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 414 and MTH 421 | | Description: | Existence and uniqueness theorems. Theory of linear differential equations. Floquet theory. Stability theory and Poincare-Bendixson theory. Green's functions and boundary value problems. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 849 Partial Differential Equations | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 414 and MTH 421 | | Description: | Cauchy-Kowalewski theorem. Characteristics. Initial-boundary value problems for parabolic and hyperbolic equations. Energy methods, boundary value problems for elliptic equations, potential theory. Green's function, maximum principles, Schauder's method. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 850 Numerical Analysis I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 414 and MTH 421 | | Description: | Convergence and error analysis of numerical methods in applied mathematics. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 851 Numerical Analysis II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 850 | | Description: | Interpolation theory and approximation of functions. Numerical solutions of nonlinear equations. Numerical integration methods. | | Effective Dates: | SPRING 1995 - Open |
|
| Course: | MTH 852 Numerical Methods for Ordinary Differential Equations | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 851 | | Description: | Linear multi-step methods and single step nonlinear methods for initial value problems. Consistency, stability and convergence. Finite difference, finite element, shooting methods for boundary value problems. | | Effective Dates: | SUMMER 1997 - Open |
|
| Course: | MTH 864 Geometric Topology | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 421 | | Description: | Topology of surfaces and higher dimensional manifolds, studied from combinatorial, algebraic or differential viewpoints. | | Semester Alias: | MTH 464 | | Effective Dates: | SPRING 1999 - Open |
|
| Course: | MTH 868 Geometry and Topology I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | (MTH 411 and MTH 421) or approval of department. | | Description: | Fundamental group and covering spaces, van Kampen's theorem. Homology theory, Differentiable manifolds, vector bundles, transversality, calculus on manifolds. Differential forms, tensor bundles, deRham theorem, Frobenius theorem. | | Effective Dates: | SPRING 1995 - Open |
|
| Course: | MTH 869 Geometry and Topology II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 868 | | Description: | Continuation of MTH 868. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | SME 879 Teaching College Mathematics | | Semester: | Fall of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Reenrollment Information: | A student may earn a maximum of 6 credits in all enrollments for this course. | | Recommended Background: | Past or concurrent mathematics teaching experience. | | Description: | Curriculum materials, case studies, approaches to teaching and student learning of particular mathematics topics. | | Interdepartmental With: | Counseling, Educational Psychology and Special Education, Mathematics, Teacher Education | | Administered By: | Science and Mathematics Education | | Effective Dates: | FALL 2009 - Open | | View all versions of this course |
|
| Course: | MTH 880 Combinatorics | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 411 or MTH 482 | | Description: | Enumerative combinatorics, recurrence relations, generating functions, asymptotics, applications to graphs, partially ordered sets, generalized Moebius inversions, combinatorial algorithms. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 881 Graph Theory | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 880 | | Description: | Graph theory, connectivity, algebraic and topological methods. Networks, graph algorithms, Hamiltonian and Eulerian graphs, extremal graph theory, random graphs. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 890 Readings in Mathematics | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Variable from 1 to 6
| | Reenrollment Information: | A student may earn a maximum of 24 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Individualized study for Master's level students. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
|
| Course: | MTH 910 Commutative Algebra I | | Semester: | Fall of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 819 | | Description: | Noetherian rings and modules, localization and tensor products, primary decomposition, Krull dimensions, graded rings and modules, Hilbert's Nullstellensatz, integral extensions, discrete valuation rings, Dedekind domains. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 911 Commutative Algebra II | | Semester: | Spring of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 910 | | Description: | Ext and Tor, regular sequences, Cohen-Macauley rings, regular rings, Gorenstein rings, completion, modules of differentials, Cohen's structure theorems. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 912 Group Theory I | | Semester: | Fall of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 819 | | Description: | Permutation groups, solvable and nilpotent groups, simple groups. Representation and character theory. Extension theory and cohomology groups. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 913 Group Theory II | | Semester: | Spring of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 912 | | Description: | Groups of Lie type, linear groups, locally finite groups, free groups and free products, the subgroup theorems. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 914 Lie Groups and Algebras I | | Semester: | Fall of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 819 | | Description: | Nilpotent and semisimple algebras, the adjoint representation, root spaces, Weyl groups, Dynkin diagrams, classification of simple algebras. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 915 Lie Groups and Algebras II | | Semester: | Spring of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 914 | | Description: | Weights, symmetric spaces, groups of Lie type, finite groups of Lie type, Lang's theorem. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 916 Introduction to Algebraic Geometry I | | Semester: | Fall of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 818 and MTH 819 | | Description: | Affine and projective algebraic varieties and their properties. Morphisms and singularities. Schemes and coherent sheaves. Sheaf cohomology and other related topics. | | Effective Dates: | FALL 2004 - Open |
|
| Course: | MTH 917 Introduction to Algebraic Geometry II | | Semester: | Spring of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 916 | | Description: | Continuation of MTH 916. | | Effective Dates: | SPRING 2005 - Open |
|
| Course: | MTH 920 Functional Analysis I | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 828 | | Description: | Hilbert spaces: Riesz representation theorem, Parseval's identity, Riesz-Fisher theorem, Fourier series operators. Banach spaces: Hahn-Banach theorem, open mapping and closed graph theorems, Banach-Steinhaus theorem. | | Effective Dates: | FALL 1998 - Open | | View all versions of this course |
|
| Course: | MTH 921 Functional Analysis II | | Semester: | Fall of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 829 and MTH 920 | | Description: | Topological vector spaces, convexity, Krein-Milman theorem, Banach algebras, operators on Banach spaces, spectral theorem, C*-algebras. | | Effective Dates: | FALL 1998 - Open | | View all versions of this course |
|
| Course: | MTH 922 Harmonic Analysis | | Semester: | Fall of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 829 and MTH 920 | | Description: | Fourier series, mean and pointwise convergence, conjugate functions, Fourier transform, Plancherel theorem, Paley-Wiener theorem, interpolation of operators, Hausdorff-Young thoerem. | | Effective Dates: | FALL 2009 - Open |
|
| Course: | SME 926 Proseminar in Mathematics Education I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Description: | Research on the learning and teaching of mathematics. Teaching, teacher and student learning, curriculum, and educational policy. Historical, philosophical, empirical, and theoretical perspectives. | | Interdepartmental With: | Counseling, Educational Psychology and Special Education, Mathematics, Teacher Education | | Administered By: | Science and Mathematics Education | | Effective Dates: | FALL 2005 - Open |
|
| Course: | SME 927 Proseminar in Mathematics Education II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Prerequisite: | SME 926 | | Description: | Continuation of SME 926. | | Interdepartmental With: | Counseling, Educational Psychology and Special Education, Mathematics, Teacher Education | | Administered By: | Science and Mathematics Education | | Effective Dates: | FALL 2005 - Open |
|
| Course: | MTH 928 Real Analysis II | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 828 | | Description: | Positive Borel measure, complex measures. Riesz representation theorem, Radon-Nikodym theorem, Lebesgue decomposition theorem. Differentiable transformations and change of variables, differentiation of measures, maximal functions. | | Effective Dates: | FALL 1997 - Open |
|
| Course: | MTH 929 Complex Analysis II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 828 and MTH 829 | | Description: | Phragmen-Lindelof method. Hadamard's theorem, Runge's thoerem, Weierstrass factorization theorem, Mittag-Leffler theorem, and Picard's theorem. Poisson integrals, Harnack's inequality, Dirichlet problem. Hp-spaces and Blaschke products. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 930 Riemannian Geometry I | | Semester: | Fall of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 869 | | Description: | Riemannian metrics, connections, curvature, geodesics. First and second variation, Jacobi fields, conjugate points. Rauch comparison theorems, Hodge theorem, Bochner technique, spinors. Further topics on curvature or submanifold theory. | | Effective Dates: | SUMMER 2006 - Open | | View all versions of this course |
|
| Course: | MTH 931 Riemannian Geometry II | | Semester: | Spring of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 930 | | Description: | Continuation of MTH 930. | | Effective Dates: | SUMMER 2006 - Open | | View all versions of this course |
|
| Course: | MTH 935 Complex Manifolds I | | Semester: | Fall of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 829 and MTH 869 | | Description: | Riemann surfaces, Serre duality, Riemann-Roch theorem. Weierstrass points, Abel's theorem, Plucker formulas. Hermitian metrics, connections, curvature, Hodge theorem. Kaehler metrics, Kodaira vanishing theorem, Chern classes. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 936 Complex Manifolds II | | Semester: | Spring of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 935 | | Description: | Continuation of MTH 935. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 940 Applied Analysis I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 828 | | Description: | Sobolev spaces, trace theorem, imbedding theorems, sectorial forms. Linear elliptic boundary and eigenvalue problems. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 941 Applied Analysis II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 940 | | Description: | Fixed point theorems. Variational methods. Applications to nonlinear integral and elliptic differential equations. Semigroup theory. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 942 Foundations of Applied Mathematics I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 848 and MTH 849 | | Description: | Modeling in classical applied mathematics. Newtonian and continuum mechanics. Special mathematical techniques. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 943 Foundations of Applied Mathematics II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 942 | | Description: | Continuation of MTH 942. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 950 Numerical Methods for Partial Differential Equations I | | Semester: | Spring of odd years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 852 | | Description: | Finite difference methods for ordinary and partial differential equations. | | Effective Dates: | SPRING 2000 - Open | | View all versions of this course |
|
| Course: | MTH 951 Numerical Methods for Partial Differential Equations II | | Semester: | Spring of even years | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Description: | Finite element methods for ordinary and partial differential equations. | | Effective Dates: | SPRING 2008 - Open |
|
| Course: | SME 954 Design and Methods in Mathematics Education Research | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | SME 926 and SME 927 | | Description: | History, current trends, and issues pertaining to research design and methods in mathematics education research. Mathematics education research in the areas of policy, teaching, teacher learning, and student learning with particular attention to how features of research designs influence research findings. | | Interdepartmental With: | Counseling, Educational Psychology and Special Education, Mathematics, Teacher Education | | Administered By: | Science and Mathematics Education | | Effective Dates: | FALL 2008 - Open | | View all versions of this course |
|
| Course: | MTH 960 Algebraic Topology I | | Semester: | Fall of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 869 | | Description: | Cohomology, products, duality, basic homotopy theory, bundles, obstruction theory, spectral sequences, characteristic classes, and other related topics. | | Effective Dates: | SPRING 1995 - Open |
|
| Course: | MTH 961 Algebraic Topology II | | Semester: | Spring of every year | | Credits: | Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
3(3-0)
| | Recommended Background: | MTH 960 | | Description: | Continuation of MTH 960. | | Effective Dates: | FALL 1995 - Open |
|
| Course: | MTH 990 Reading in Mathematics | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Variable from 1 to 3
| | Reenrollment Information: | A student may earn a maximum of 9 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Individualized study for doctoral level students. | | Effective Dates: | SUMMER 2000 - Open | | View all versions of this course |
|
| Course: | MTH 991 Special Topics in Algebra | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 18 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in algebra. | | Effective Dates: | FALL 1992 - Open |
|
| Course: | MTH 992 Special Topics in Analysis | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 18 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in analysis. | | Effective Dates: | FALL 1992 - Open |
|
| Course: | MTH 993 Special Topics in Geometry | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 18 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in geometry. | | Effective Dates: | FALL 1992 - Open |
|
| Course: | MTH 994 Special Topics in Applied Mathematics | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 24 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in applied mathematics. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
|
| Course: | MTH 995 Special Topics in Numerical Analysis and Operations Research | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 18 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in numerical analysis or operations research. | | Effective Dates: | FALL 1992 - Open |
|
| Course: | MTH 996 Special Topics in Topology | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 18 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in topology. | | Effective Dates: | FALL 1992 - Open |
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| Course: | MTH 998 Special Topics in Combinatorics and Graph Theory | | Semester: | Fall of every year, Spring of every year | | Credits: | Variable from 3 to 6
| | Reenrollment Information: | A student may earn a maximum of 18 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Advanced topics in combinatorics and graph theory. | | Effective Dates: | FALL 1992 - Open |
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| Course: | MTH 999 Doctoral Dissertation Research | | Semester: | Fall of every year, Spring of every year, Summer of every year | | Credits: | Variable from 1 to 24
| | Reenrollment Information: | A student may earn a maximum of 120 credits in all enrollments for this course. | | Restrictions: | Approval of department. | | Description: | Doctoral dissertation research. | | Effective Dates: | SUMMER 2002 - Open | | View all versions of this course |
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Definitions of Course Characteristics |
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