**COLLEGE OF SCIENCE**

**INSTITUTE OF MATHEMATICS**

**LIST OF COURSES**

**UNDERGRADUATE**

1. Math 2 Practical Mathematics. Basic mathematical skills in everyday life. Prereq: None. 3h. (lec) 3u.

2. Math 10 Mathematics, Culture and Society. Appreciation of the beauty and power of mathematics through the examination of its nature, development and utility, and its relationship with culture and society. Prereq: None. 3 h. (lec) 3 u.

3. Math 11 College Algebra. Linear equations; algebraic and graphical solutions of the quadratic equations; exponents and radicals; complex numbers; binomial expansion; determinants; progressions; solutions of equations, several equations in several variables. Prereq: One year high school of algebra. 3 h. (lec) 3 u. *The course will not be offered starting AY 2020-2021.*

4. Math 14 Plane Trigonometry. Logarithms; graphs of the trigonometric functions; the general triangle; solutions of trigonometric, inverse trigonometric, exponential and logarithmic equations; complex numbers. Prereq: One year each of high school algebra and plane geometry. 3 h. (lec) 3 u. *The course will not be offered starting AY 2020-2021.*

5. Math 17 Algebra and Trigonometry. Sets and numbers; the algebra of numbers as logical system; inequalities; absolute values and coordinates systems; functions and graphs; circular, linear, quadratic, and polynomial functions; exponential and logarithmic functions; applications of the circular functions to angles. Prereq: One year each of high school algebra. 5 h. (lec) 5 u. *The course will not be offered starting AY 2020-2021.*

6. Math 20 Precalculus: Functions and their Graphs. Sets and numbers; the algebra of numbers as logical system; inequalities; absolute values and coordinates systems; functions and graphs; circular, linear, quadratic, and polynomial functions; exponential and logarithmic functions; applications of the circular functions to angles. Prereq: High School Algebra/equiv. 4 h. (lec). No credit.

7. Math 21 Elementary Analysis I. Limits and continuity; derivatives of algebraic and transcendental functions (exponential, logarithmic, trigonometric, hyperbolic, and their inverses); applications of derivatives; antiderivatives and definite integrals; Fundamental Theorem of Calculus; applications of the definite integral. Prereq: High School Basic Calculus or Math 20/equiv. 4 h. (lec) 4 u.

8. Math 22 Elementary Analysis II. Techniques of integration; improper integrals; parametric equations and polar coordinates; lines in space, planes, cylindrical surfaces, surfaces of revolution, and quadric surfaces; vectors and vector-valued functions; sequences and series. Prereq: Math 21/equiv. 4 h. (lec) 4 u.

9. Math 23 Elementary Analysis III. Functions of several variables; limits and continuity of functions of several variables; partial derivatives and the total differential; directional derivatives; relative and absolute extrema of functions of several variable; double and triple As of July 2020 integrals; applications of multiple integrals; vector fields; line and surface integrals. Prereq: Math 22/equiv. 4 h. (lec) 4 u.

10. Math 30 Intermediate Calculus and Applications. Integration techniques; multivariate calculus; sequences and series; introduction to matrices; applications to economics, business, life and social sciences. Prereq: Math 21/equiv. 3 h. (lec) 3 u.

11. Math 40 Linear Algebra. Vector spaces; linear transformations; matrices; eigenvalues; canonical forms; orthogonality; applications. Prereq: Math 22/equiv or Math 30/equiv. 3 h. (lec) 3 u.

12. Math 53 Elementary Analysis I. Functions and their graphs; limits and continuity; the derivative; derivatives of algebraic and trigonometric functions; exponential and logarithmic functions; inverse functions; antiderivatives and definite integrals; fundamental theorem of calculus; applications of the definite integral. Prereq: Math 17/equiv. 5 h. (lec) 5 u. *The course will not be offered starting AY 2020-2021.*

13. Math 54 Elementary Analysis II. Integration methods; applications of the definite integral; plane and solid analytic geometry; polar coordinates; vectors; parametric equations. Sequences and series; power series. Prereq: Math 53/equiv. 5 h. (lec) 5 u. *The course will not be offered starting AY 2020-2021.*

14. Math 55 Elementary Analysis III. Partial differentiation; multiple integrals; infinite series; differential equations. Prereq: Math 54/equiv. 3 h (lec) 3 u. *The course will not be offered starting AY 2020-2021.*

15. Math 60 Precalculus. Algebraic operations, functions, analytic, geometry, trigonometry, matrices. Prereq: none. 5 h. (lec) 5 u. *The course will not be offered starting AY 2020-2021.*

16. Math 63 Calculus I. Functions of a single variable; limits; continuity; the derivative and the Riemann integral; derivatives of algebraic, trigonometric and inverse trigonometric functions; applications; polar coordinates; conic sections. Prereq: Math 60/equiv. 5 h. (lec) 5 u. *The course will not be offered starting AY 2020-2021.*

17. Math 64 Calculus II. The exponential, logarithmic and hyperbolic functions; techniques of integration; vectors and vector-valued functions; improper integrals; infinite series; power series; applications. Prereq: Math 63/equiv. 5 h. (lec) 5 u. *The course will not be offered starting AY 2020-2021.*

18. Math 65 Calculus III. Calculus of several variables and Fourier series. Prereq: Math 64. 3 h. (lec). 3 u. *The course will not be offered starting AY 2020-2021.*

19. Math 100 Introduction to Calculus. Limits; derivatives; integrals; applications. Prereq: math 17 or COI. 4 h. (lec) 4 u. *The course will not be offered starting AY 2020-2021.*

20. Math 108 Foundations of Abstract Mathematics. Propositional and predicate calculus; methods of proof; algebra of sets; relations and functions; finite and infinite sets. Prereq: Math 21/equiv or COI. 4 h. (lec) 4 u.

21. Math 109 Fundamental Concepts of Mathematics. Algebra of sets and logic; methods of proof; functions and relations; logical nature and structure of mathematics; introduction to numbertheory; algebra arid geometry of complex numbers. Prereq: Second Year standing. 3 h. (lec) 3 u. *The course will not be offered starting AY 2020-2021. As of July 2020*

22. Math 110.1 Abstract Algebra I. Groups, group homomorphism; permutation groups; factor groups; rings, ring homomorphism, ideals, integral domains; introduction to fields, field of quotient. Prereq: Math 108/equiv or COI. 3 h. (lec) 3 u.

23. Math 110.2 Abstract Algebra II. Vector spaces; linear transformations; matrices; diagonalizability; eigenvalues and eigenvectors; inner product spaces; normal matrices. Prereq: Math 110.1. 3 h. (lec) 3 u.

24. Math 110.3 Abstract Algebra III. Polynomial rings and factorization; field extensions, splitting fields, finite fields, field automorphisms; introduction to Galois theory. Prereq: Math 110.1. 3 h. (lec) 3 u.

25. Math 117 Elementary Theory of Numbers. Properties of integers; divisibility; unique factorization theorem; solutions of congruences; residue systems; primitive roots and the quadratic reciprocity law; solutions of Diophantine equations. Prereq: Math 108/equiv or COI. 3 h. (lec) 3 u.

26. Math 122 Differential Equations and Applications. First order ordinary differential equations (ODEs); homogeneous and nonhomogeneous linear second order ODEs; systems of linear equations; series solutions of ODEs; stability analysis of nonlinear ODEs; Laplace transforms; applications of ODEs. Prereq: Math 22/equiv or Math 30/equiv. 3 h. (lec) 3 u.

27. Math 123.1 Advanced Calculus I. The real number system; point set topology; sequences of real numbers; limits and continuity; the derivative; the Riemann integral; sequences of functions; uniform convergence. Prereq: Math 23/equiv and Math 108/equiv, or COI. 3 h. (lec) 3 u.

28. Math 123.2 Advanced Calculus II. Series of real numbers; series of functions; power sereis; topology of R!; limits and continuity and differentiability of functions of several variables; implicit and inverse function theorems; multiple integration; improper integrals; transformations. Prereq: Math 123.1. 3 h. (lec) 3 u.

29. Math 126 Real Analysis. Properties of real numbers; integral of step functions; Lebesgue integral; convergence theorems; measureable functions; measurable sets; selected topics. Prereq: Math 123.1. 3 h. (lec) 3 u.

30. Math 128 Complex Analysis. Complex numbers and properties; analytic functions and the Cauchy-Riemann equations; power series representation of analytic functions; complex integration; Cauchy integral formula and its consequences; singularities, Laurent series, and residues; applications to definte integrals. Prereq: Math 123.1/equiv. 3 h. (lec) 3 u.

31. Math 131 Elementary Set Theory. Axioms of Set Theory; relations and functions; natural numbers, cardinal numbers and the Axiom of Choice; orderings and ordinals. Prereq: Math 110.1. 3 h. (lec) 3 u. *This course is proposed for abolition.*

32. Math 133 Introduction to Mathematical Modeling. Overview of mathematical modeling; discrete models; model fitting; linear programming; linear and nonlinear continuous models; numerical methods; optimization of continuous models. Prereq: CS 11/equiv and Math 122/equiv. 3 h. (lec) 3 u.

33. Math 140 Introduction to Modern Geometries. Development of modern geometries; finite geometries; geometric transformations; projective geometry; non-Euclidean geometries. Prereq: Math 108/equiv or COI. 3 h. (lec) 3 u. As of July 2020

34. Math 142 Elementary Topology. Topological spaces; continuous functions and homeomorphisms; compactness and connectedness; separation axioms. Prereq: Math 123.1 or COI. 3 h. (lec) 3 u.

35. Math 146 Introduction to Differential Geometry. Elementary topology; calculus of several variables; curves and surfaces; theorems of Stokes and Gauss; differential forms. Prereq: Math 23/equiv and Math 140/equiv, or COI. 3 h. (lec) 3 u.

36. Math 147 Introduction to Algebraic Geometry. Projective varieties; algebraic and elliptic curves. Prereq: Math 110.1 and Math 140. 3 h. (lec) 3 u.

37. Math 148 Introduciton to Projective Geometry. Projective planes and spaces. Prereq: Math 110.1 and Math 140. 3 h. (lec) 3 u.

38. Math 150.1 Mathematical Statistics I. Combinatorial probability; probability distributions; joint and conditional distributions; random variables; distributions of functions of random variables; mathematical expectation; moment-generating functions; sampling distributions. Prereq: Math 23/equiv and Stat 101/equiv. 3 h. (lec) 3 u.

39. Math 150.2 Mathematical Statistics II. Limiting distributions; estimation of parameters; tests of hypotheses; regression and correlation; analysis of variance; applications. Prereq: Math 150.1. 3 h. (lec) 3 u.

40. Math 157 Discrete Mathematical Structures. Fundamentals of set theory; algebraic relations; combinatorial algorithms; algebraic structures and their applications in computer science. Prereq: Math 54. 3 h. (lec) 3 u. *The course will not be offered starting AY 2020-2021.*

41. Math 158 Introduction to Discrete Mathematics. Permutations and combinations; binomial and multinomial coefficients; the Principle of Inclusion and Exclusion; graphs and their properties; families of graphs, distance and connectivity of graphs, selected topics in discrete mathematics. Prereq: Math 108/equiv or COI. 3 h. (lec) 3 u.

42. Math 162 Theory of Interest. Simple interest; compound interest; continuous interest; annuities; amortization schedules and sinking funds; bonds and other securities; special topics. Prereq: Math 22/equiv or Math 30/equiv. 3 h. (lec) 3 u.

43. Math 164 Mathematics of Life Contingencies. Mathematical theory of life contingencies involving single-life functions; mortality; life annuities and insurances; reserves; expense factor; population theory. Prereq: Math 150.1/equiv and Math 164/equiv. 3 h. (lec) 3 u.

44. Math 166 Mathematics of Finance. Bond-stock market; immunization; forwards and futures; options, including binomial pricing and Black-Scholes pricing; greeks of options, swaps and hedging and investment strategies. Prereq: Math 162. 3 h. (lec) 3 u.

45. Math 171 Introduction to Numerical Analysis. Error analysis; solution of a single non-linear equation; solution of systems of equations; solution of ordinary differential equations; series. Prereq: Math 122/equiv and Math 110.2/equiv. 3 h. (lec) 3 u.

46. Math 180.1 Operations Research I. Introduction to linear programming; the simplex methods; duality; sensitivity analysis; integer programming; nonlinear programming. Math 40/equiv. 3 h. (lec) 3 u.

47. Math 180.2 Operations Research II. Review of probability theory; Stochastic models; Markov chains; introduction to queueing theory; introduction to simulation; games, replacement and reliability theory. Prereq: Math 180.1 and Math 150.1. 3 h. (lec) 3 u.

48. Math 190 Introduction to Mathematical Research and Writing. Basic principles and best practices of mathematical research and writing. Prereq: Junior Standing. 2 h. (lec) 2 u.

49. Math 196 Undergraduate Seminar. Prereq: Junior Standing. 1 u. *The course will not be offered starting AY 2020-2021.*

50. Math 197 Special Topics. Prereq: COI. 3 u. (may be taken at most three times provided topics are different; topics to be specified)

51. Math 200 Undergraduate Thesis. Prereq: Senior Standing. 3 u.

**GRADUATE**

1. Math 201 Concepts and Techniques in Abstract Algebra. Groups, rings and homomorphism. Prereq: Math 109/ COI. 3 h. (lec) 3 u.

2. Math 202.1 Analysis I. Real numbers, sequences of real numbers and limits, continuity of functions, derivatives, Riemann integral. Prereq: COI. 3 h. (lec) 3 u.

3. Math 202.2 Analysis II. n-dimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, complex-valued functions and their derivatives. Prereq: Math 202.1. 3 h. (lec) 3 u.

4. Math 203 Matrices and Applications. Linear systems of equations and matrices, matrix operations, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, applications. Prereq: COI. 3 h. (lec) 3 u.

5. Math 204 Classical and Modern Geometry. Finite geometries, euclidean and non-euclidean geometries, projective geometry, geometric transformations. Prereq: COI. 3 h. (lec) 3 u.

6. Math 205 Concepts and Methods in Probability and Statistics. Descriptive statistics, probability and probability distributions, sampling theory, estimation and test of hypothesis, linear correlation and regression analysis. Prereq: COI. 3 h. (lec) 3 u.

7. Math 208 History and Development of the Fundamental Concepts of Mathematics. Prereq: COI. 3 h. (lec) 3 u.

8. Math 209.1 Selected Topics in Applied Mathematics. Prereq: COI. 3 h. (lec) 3 u.

9. Math 209.2 Selected Topics in Discrete Mathematics. Prereq: Math 201. 3 h. (lec) 3 u

10. Math 210.1 Modern Algebra I. Semigroups and groups; rings; fields; groups with operators. Selected topics. Prereq: COI. 3 h. (lec) 3 u.

11. Math 210.2 Modern Algebra II. A continuation of Mathematics 210.1. Prereq: Math 210.1. 3 h. (lec) 3 u.

12. Math 211 Linear Algebra. Vector spaces, linear mappings; theorem of Hamilton-Cayley; modules over principal ideal domains; Jordan canonical form, rational canonical form; bilinear forms, inner products; law of inertia, spectral theorem; multilinear forms; tensor products. Prereq: Math 110.2/114/COI. 3 h. (lec) 3 u.

13. Math 212 Theory of Groups. Prereq: COI. 3 h. (lec) 3 u. *This course is proposed for abolition.*

14. Math 213 Theory of Rings. Prereq: COI. 3 h. (lec) 3 u. *This course is proposed for abolition.*

15. Math 214 Theory of Matrices. Prereq: COI. 3 h. (lec) 3 u.

16. Math 216 Lie Groups and Lie Algebras. Classical matrix Lie groups, Lie algebras of Lie groups,nilpotent and solvable algebras, semisimple algebras, representations. Prereq: Math 210.1. 3 h. (lec) 3 u.

17. Math 217 Theory of Numbers. Linear Congruences, Euler’s and Wilson’s Theorems, Quadratic residues, Quadratic Reciprocity Law, Jacobi’s and Kronocker’s symbols, Polian Equation, Positive Binary and Ternary quadratic forms. Theory of the sums of two and three squares. Prereq: COI. 3 h. (lec) 3 u.

18. Math 218 Theory of Algebraic Numbers. Algebraic number fields; algebraic integers; basic and discriminant; ideals; fundamental theorem on the decomposition of ideals; ideal classes; Minkowski’s theorem; the class formula; units; Fermat’s last theorem. Selected topics. Prereq: COI. 3 h. (lec) 3 u.

19. Math 220.1 Theory of Functions of a Real Variable I. Lebesgue and other integrals; differentiation; measure theory. Prereq: Math 123.1, COI. 3 h. (lec) 3 u

20. Math 220.2 Theory of Functions of a Real Variable II. Continuation of Math 220.1. Selected topics. Prereq: Math 220.1. 3 h. (lec) 3 u.

21. Math 221 Partial Differential Equations. Equations of the first and second order. Green’s function. Boundary value problems. Prereq: COI. 3 h. (lec) 3 u.

22. Math 222 Approximation Theory. Taylor’s theorem, Weierstrass approximation theorem, approximation in Hilbert spaces, Fourier Series and Fourier transform, direct and inverse theorems, algebraic and trigonometric interpolation, Whittaker-Shannon sampling theory, wavelet analysis. Prereq: Math 220.1/COI. 3 h. (lec) 3 u.

23. Math 224 Control Theory. Elements of the calculus of variations. Naive optimal control theory; Functional analysis; Generalized optimal control theory; The Pontrjagin maximum principle for chattering controls; Research problems. Prereq: Math 126, 142/COI. 3 h. (lec) 3 u.

24. Math 227 Calculus of Variation. Euler’s equations. Legendre conditions. Jacobi’s conditions. Isoperimetric problems. Lagrange’s methods. Dirichlet’s principle. Prereq: COI. 3 h. (lec) 3 u.

25. Math 228 Theory of Functions of a Complex Variable. Analytic functions; geometric function theory; analytic continuation; Riemann Mapping Theorem. Prereq: COI. 3 h. (lec) 3 u.

26. Math 229 Functional Analysis. Linear operators, linear functionals, topological linear spaces, normed spaces, Hilbert spaces, functional equations, Radon measures, distributive and linear partial differential equations, and spectral analysis. Prereq: Math 220.1. 3 h. (lec) 3 u.

27. Math 235 Mathematics in Population Biology. Continuous and discrete population models for single species, models for interacting populations, evolutionary models, dynamics of infectious diseases. Prereq: Math 121.1/equiv/COI. 3 h. (lec) 3 u.

28. Math 236 Mathematics in Biological Processes. Biological oscillators and switches, perturbed and coupled oscillators, reaction diffusion, enzyme kinetics, chemotaxis, circadian systems models, coupled cell networks. Prereq: COI. 3 h. (lec) 3 u.

29. Math 240 Geometric Crystallography. Isometries, frieze groups, crystallographic groups, lattices and invariant sublattices, finite groups of isometries, geometric and arithmetic crystal classes. Prereq: Math 210.1/ equiv. 3 h. (lec) 3 u.

30. Math 241 Hyperbolic Geometry. Moebius transformations, hyperbolic plane and hyperbolic metric, geometry of geodesics, hyperbolic trigonometry, groups of isometries on the hyperbolic plane. Prereq: Math 210.1/equiv. 3 h. (lec) 3 u.

31. Math 242 General Topology. Topological spaces; metric spaces; theory of convergence; bases; axioms of countability; subspaces; homeomorphisms. Selected topics. Prereq: COI. 3 h. (lec) 3 u.

32. Math 243 Algebraic Topology. Homotopy, fundamental group, singular homology, simplicial complexes, degree and fixed point theorems. Prereq: Math 242. 3 h. (lec) 3 u.

33. Math 246 Differential Geometry. Classical theory of curves and surfaces. Mappings of surfaces. Differential structures. Lie groups and frame bundles. Prereq: Math 123.2/COI. 3 h. (lec) 3 u.

34. Math 247 Algebraic Geometry. The general projective space. Collineation and correlations in a projective space. Algebraic manifolds. Plane curves. Quadratic transformation of systems of plane curves. Prereq: COI. 3 h. (lec) 3 u.

35. Math 249 Selected Topics in Geometry and Topology. Prereq: COI. 3 h. (lec) 3 u. (topic to be specified for record purposes)

36. Math 250 Probability Theory. Random variables, laws of large numbers, special probability distributions, central limit theorem, Markov chains, Poisson process, martingales. Prereq: Math 220.1/COI. 3 h. (lec) 3 u.

37. Math 255 Mathematics of Decision Making. Some application of Bayesian statistics; use of experiments in decision problems; group decision making and risk-sharing. Prereq: Math 155. 3 h. (lec) 3 u.* This course is proposed for abolition.*

38. Math 258 Combinatorial Mathematics. Permutations and combinations. Generating functions. Principle of inclusion and exclusion. Recurrence relations. Occupancy. Matrices of zeros and ones. Partitions. Orthogonal Latin squares. Combinatorial designs. Prereq: COI. 3 h. (lec) 3 u.

39. Math 260 Actuarial Theory and Practice. Multiple life theory, multiple decrement theory, applications of multiple decrement theory, risk theory, ruin theory and introduction to credibility theory. Prereq: Math 164/COI. 3 h. (lec) 3 u.

40. Math 261 Survival and Loss Models. Hazard rate function, analysis of various survival and loss models, credibility theory. Prereq: Math 164/COI. 3 h. (lec) 3 u.

41. Math 262.1 Actuarial Science I. Gross premiums and asset shares, non forfeiture values, expense analysis, distribution of surplus, valuation of liabilities, product development process, introduction to life insurance accounting. Prereq: Math 261/COI. 3 h. (lec) 3 u.

42. Math 262.2 Actuarial Science II. Selection of risks, reinsurance, introduction to investments analysis and finance management, insurance code, actuarial principles in special lines of insurance. Prereq: Math 262.1/ COI. 3 h. (lec) 3 u.

43. Math 265 Stochastic Calculus. Conditional expectations, martingales, Brownian motion, Ito integral, Ito formula, stochastic differential equation, Girsanov Theorem, applications to mathematical finance. Prereq: Math 150.1/COI. 3 h. (lec) 3 u.

44. Math 266 Mathematical Finance. Binomial asset pricing model, vanilla options, exotic options, American options, arbitrage probabilities, profit and loss, stochastic interest rates. Prereq: Math 265/COI. 3 h. (lec) 3 u.

45. Math 271.1 Numerical Analysis I. Floating point representation, condition numbers, iterative methods for solving systems of linear and non-linear equations, numerical integration, numerical linear algebra. Prereq: Math 171/COI. 3 h. (lec) 3 u.

46. Math 271.2 Numerical Analysis II. Numerical methods for ordinary differential equations, finitedifference methods for partial difference equations, numerical methods for conservation laws, multi-grid methods. Prereq: Math 271.1/COI. 3 h. (lec) 3 u.

47. Math 272 Automata Theory. Finite state automata. Regular expressions, decomposition of finite automata and their realization. Turing machines. Introduction to formal languages. Prereq: COI. 3 h. (lec) 3 u. *This course is proposed for abolition.*

48. Math 276 Introduction to Computer Simulation. Introduction to computer simulation of theoretical system and real-time processes. Examples of simulation for the solution of both theoretical and practical problems in various fields of application. Prereq: COI. 3 h. (lec) 3 u. *This course is proposed for abolition.*

49. Math 280 Linear Programming. Simplex method, duality, geometry of linear programs, parametric programming, decomposition and upper-bounded variables. Prereq: Math 40/equiv. 3 h. (lec) 3 u. *The prerequisite has been proposed for revision, from Math 114 and Math 180.2 to Math 40/equiv.*

50. Math 281 Nonlinear Programming. Properties of convex sets and functions. Unconstrained optimization. Kuhn- Tucker Theorem. Lagrange Multipliers. Saddle-point Theorems. Algorithms. Prereq: COI. 3 h. (lec) 3 u.

51. Math 282 Integer Programming and Combinatorial Optimization. Applications of integer programming. Converging dual and primal cutting plane algorithms. Branch-bound methods. Total unimodularity and the transportation problem. Applications of graph theory to mathematical programming. Prereq: Math 280/equiv. 3 h. (lec) 3 u.

52. Math 283 Applied Dynamic Programming. Deterministic decision problems; Analytical and computational methods; Applications to problems of equipment replacement, resource allocation, scheduling, search and routing. Prereq: GS/COI. 3 h. (lec) 3u.

53. Math 285 Introduction to Stochastic Optimization. Probability theory and applications to discrete and continuous time Markov chains; classification of states; algebraic methods, birth and death processes, renewal theory, limit theorems. Prereq: Math 114, 150.1. 3 h. (lec) 3 u.

54. Math 286 Finite Graphs and Networks. Basic graph theory and applications to optimal path problems; flows in network; combinatorial problems. Prereq: Math 285/COI. 3 h. (lec) 3 u.

55. Math 288 Numerical Optimization. Deterministic descent type methods, stochastic optimization methods, numerical implementation. Prereq: Math 271.1/COI. 3 h. (lec) 3 u.

56. Math 290 Research Paper on College Mathematics. Prereq: COI. 3 h. (lec) 3 u.

57. Math 294 Independent Study. May be credited once in the M.S. Mathematics/Applied Mathematics programs and twice in the Ph.D. Mathematics program. 3 u.

58. Math 295 Special Project. Prereq: COI. 3 u.

59. Math 296 Graduate Seminar. Prereq: COI. 1 u.

60. Math 297 Special Topics. Prereq: COI. 3 h. (lec) 3 u. (may be taken at most three times; topic to be specified for record purposes)

61. Math 300 Master’s Thesis. 6 u.

62. Math 400 PhD Dissertation. 12 u.