# Mathematics Courses

## Lower Division Courses

**MATH 110. Mathematics for Life (3) [GE]** (Syllabus)

Mathematical problem solving pertinent to daily life. Exponential and logarithmic
functions; conversion, estimation, and measurements; personal finance; probability
and statistics.

**MATH 110X. Mathematics for Life Support (1) [Cr/NC]** (Syllabus) **Prerequisite:** Concurrent registration in Mathematics 110. Required for students who have not satisfied
the SDSU Mathematics/Quantitative Reasoning Assessment requirement.**Course hours:** Three hours of activity.

Required support course for Mathematics 110. Credit in this course satisfies the SDSU
Mathematics/Quantitative Reasoning Assessment requirement.

**MATH 118. Topics in Mathematics (3) [GE]**

Topics selected from algebra, analysis, geometry, logic, probability, or statistics,
designed to give student insight into structure of mathematical theories and their
applications.

**MATH 120. Calculus for Business Analysis (3) [GE]** (Syllabus)

Matrix algebra. Calculus including differentiation and integration. Graphing and optimization.
Exponential and logarithmic functions. Multivariable calculus. Not open to students
with credit in Mathematics 150.

**MATH 124. Calculus for the Life Sciences (4) [GE]** (Syllabus)**Prerequisite:** Knowledge of algebra, geometry, and trigonometry as demonstrated by either (1) satisfactory
completion of Mathematics 141 with a grade of C (2.0) or above; or (2) qualification
on the Mathematics Placement Assessment. Proof of completion of prerequisite required.
* Course hours: Three lectures and three hours of laboratory. *

Basic concepts of calculus with life science applications. Topics from differential and integral calculus and an introduction to elementary differential equations. Computer applications to biological problems. Not open to students with credit in Mathematics 150.

**MATH 140. College Algebra (3) [GE]** (Syllabus)

Solution of equations and inequalities, systems of equations, graphs and attributes
of functions (transformations, end behavior, domain, range), polynomial and exponential
functions. Not open to students with credit in Mathematics 120, 124, 141, or 150.
(Formerly numbered Mathematics 105.)

**MATH 140X. College Algebra Support (1) [Cr/NC] **(Syllabus)**Prerequisite:** Concurrent registration in Mathematics 140. **Course hours:** Three hours of activity.

Required for students who have not satisfied the SDSU Mathematics/Quantitative Reasoning
Assessment requirement. Required support course for Mathematics 140. Credit in this
course satisfies the SDSU Mathematics/Quantitative Reasoning Assessment requirement.
(Formerly numbered Mathematics 105X.)

**MATH 141. Precalculus (3) [GE]** (Syllabus)**Prerequisite:** Knowledge of algebra as demonstrated by (1) satisfactory completion of Mathematics
140 with a grade of C (2.0) or better; or (2) qualification on the Mathematics Placement
Assessment. Proof of completion of prerequisite required. **Course hours:** Two lectures and two hours of activity.

Rational, trigonometric, exponential and logarithmic functions; conic sections; parametric
equations. Not open to students with credit in Mathematics 120, 124, or 150.

**MATH 141A. Precalculus ALEKS Laboratory (1)** * Prerequisite:* Concurrent registration in Mathematics 141.

**Course hours:**Three hours of laboratory.

ALEKS-based laboratory to assist students in achieving success in precalculus.

**MATH 150. Calculus I (4) [GE]** **Prerequisite:** Knowledge of algebra, geometry, and trigonometry as demonstrated by either (1) satisfactory
completion of Mathematics 141 with a grade of C (2.0) or better; or (2) qualification
on the Mathematics Placement Assessment. Proof of completion of prerequisite required.
* Course hours: Three lectures and two hours of activity. *

Algebraic and transcendental functions. Continuity and limits. The derivative and its applications. The integral and the fundamental theorem of calculus.

**MATH 150A. Calculus I ALEKS Laboratory (1)** **Prerequisite:** Concurrent registration in Mathematics 150. **Course hours:** Three hours of laboratory.

ALEKS-based laboratory to assist students in achieving success in Calculus I.

**MATH 151. Calculus II (4) [GE]** (Syllabus)**Prerequisite:** Mathematics 150 with a grade of C (2.0) or better. Proof of completion of prerequisite
required. **Course hours:** Three lectures and two hours of activity.

Techniques and applications of integration. Improper integrals. Differential equations.
Infinite series. Conic sections. Curves in parametric form, polar coordinates.

**MATH 210. Number Systems in Elementary Mathematics (3) [GE]** (Syllabus)

Number sense, operation concepts, estimation, mental arithmetic, algorithms, problem
solving, whole, rational, real numbers, ratio, and number theory. This course or its
equivalent is required for students working toward a multiple subject credential in
elementary education.

**MATH 210X. Number Systems in Elementary Mathematics Support (1) [Cr/NC]** **Prerequisite:** Concurrent registration in Mathematics 210. Required for students who have not satisfied
the SDSU Mathematics/Quantitative Reasoning Assessment requirement. **Course hours:** Three hours of activity.

Required support course for Mathematics 210. Credit in this course satisfies the SDSU
Mathematics/Quantitative Reasoning Assessment requirement.

**MATH 211. Geometry in Elementary Mathematics (3) [GE]** **Prerequisite:** Mathematics 210.

Two and three dimensional shapes and interrelationships, congruence, similarity and
proportional reasoning, measurement of length, angle size, area, volume, metric system,
and problem solving.

**MATH 237. Elementary Differential Equations (3)** **Prerequisite:** Mathematics 254 or 342A with a grade of C (2.0) or better.

Integration of first-order differential equations, initial and boundary value problems
for second-order equations, series solutions and transform methods, regular singularities.

**MATH 245. Discrete Mathematics (3) [GE]** (Syllabus)**Prerequisite:** Mathematics 124 or 150 with a grade of C (2.0) or better. Recommended: Mathematics
151.

Logic, methods of proof, set theory, number theory, equivalence and order relations,
counting (combinations and permutations), solving recurrence relations.

**MATH 252. Calculus III (4) [GE]** (Syllabus)**Prerequisite:** Mathematics 151 with a grade of C (2.0) or better.

Functions of several variables. Vectors. Partial derivatives and multiple integrals.
Line integrals and Green’s Theorem.

**MATH 254. Introduction to Linear Algebra (3) [GE]** **Prerequisite:** Mathematics 151 with a grade of C (2.0) or better.

Matrix algebra, Gaussian elimination, determinants, vector spaces, linear transformations,
orthogonality, eigenvalues, and eigenvectors.

**MATH 296. Experimental Topics (1-4)**

Selected topics. May be repeated with new content. See Class Schedule for specific content. Limit of nine units of any combination of 296, 496, 596 courses
applicable to a bachelor’s degree.

**MATH 299. Special Study (1-3)** **Prerequisite:** Consent of instructor.

Individual study. Maximum credit six units.

## Upper Division Courses

(intended for undergraduates)

**MATH 302. Transition to Higher Mathematics (3)** (Syllabus)**Prerequisite:** Mathematics 141 or 150.

Selected topics in mathematics to emphasize proof writing and problem solving. Intended
for those planning to teach secondary school mathematics.

**MATH 303. History of Mathematics (3) [GE]** **Prerequisite:** Mathematics 141 or completion of the General Education requirement in Foundations
of Learning IIA., Natural Sciences and Quantitative Reasoning for nonmajors.

Major currents in the development of mathematics from ancient Egypt and Babylon to
late nineteenth century Europe.

**MATH 312. Topics from Elementary Mathematics: Statistics and Probability (3)** **Prerequisites:** Mathematics 211 and satisfactory performance on Liberal Studies Mathematics Proficiency
Assessment.

Topics from statistics and probability. Enrollment limited to future teachers in grades
K-8

**MATH 313. Topics in Elementary Mathematics: Algebra of Change (3)** **Prerequisites:** Mathematics 211 and satisfactory performance on Liberal Studies Mathematics Proficiency
Assessment. Capstone course for prospective K-8 teachers.

Advanced topics in mathematics selected from algebra, number systems, transformation
geometry, and problem solving. Enrollment limited to future teachers in grades K-8.

**MATH 320. Abstract Algebra (3)** **Prerequisites:** Mathematics 245 and 254 with a grade of C (2.0) or better in each course.

Proof of completion of prerequisites required: Copy of transcript.

Elementary number theory and rings to include ideals, polynomial rings, quotient rings,
ring homomorphisms and isomorphisms. Introduction to basic aspects of group theory.
(Formerly numbered Mathematics 521A.)

**MATH 330. Advanced Calculus I (3)** (Syllabus)**Prerequisites:** Mathematics 245 and either 254 or 342A with a grade of C (2.0) or better in each
course. *Proof of completion of prerequisites required: Copy of transcript. *

Completeness of the real numbers and its implications, sequences of real numbers,
and continuity and differentiability of functions of one real variable. (Formerly
numbered Mathematics 534A.)

**MATH 336. Introduction to Mathematical Modeling (3)** **Prerequisite:** Mathematics 254 with a grade of C (2.0) or better.

Models from the physical, natural, and social sciences including population models
and arms race models. Emphasis on classes of models such as equilibrium models and
compartment models.

**MATH 340. Programming in Mathematics (3)** * Prerequisites: Mathematics 151 and 245 with a grade of C (2.0) or better in each course. Proof of
completion of prerequisites required: Copy of transcript. *Introduction to programming in mathematics. Modeling, problem solving, visualization.
Not open to students with credit in Mathematics 242.

**MATH 341. Mathematics Software Workshop (1)** (Syllabus)**Prerequisite:** Mathematics 150. **Course hours:** Two hours of activity.

Lesson plan design using teacher-based technologies. (Formerly numbered Mathematics
241.)

**MATH 342A. Methods of Applied Mathematics I (3)** **Prerequisite:** Mathematics 252.

Vector analysis, divergence and Stokes’ theorem and related integral theorems. Matrix
analysis, eigenvalues and eigenvectors, diagonalization. Introduction to ordinary
differential equations. Computer software packages for matrix applications, solving,
and graphing differential equations.

**MATH 342B. Methods of Applied Mathematics II (3)** **Prerequisite:** Mathematics 342A with a grade of C (2.0) or better.

Second order ordinary differential equations, power series methods, Bessel functions,
Legendre polynomials. Linear partial differential equations, separation of variables,
Fourier series, Sturm-Liouville theory, orthogonal expansions, Fourier Transforms.
Use of computer software packages for symbolic algebra and solution of differential
equations.

**MATH 413. Mathematics for the Middle Grades (3) **(Syllabus)**Prerequisite:** Mathematics 313.

Teacher-level look at mathematics taught in middle grades, to include proportional
reasoning, rational and real numbers, probability, and algebra. Intended for those
planning to teach mathematics in middle grades; cannot be used as part of major or
minor in mathematical sciences with exception of major for single subject teaching
credential. Students in the SSTC major must receive instructor permission

**MATH 414. Mathematics Curriculum and Instruction (3)** (Syllabus)**Prerequisites:** Senior standing and 12 upper division units in mathematics.

Historical development of mathematics and mathematics curriculum. Principles and procedures
of mathematics instruction in secondary schools. For secondary and postsecondary teachers
and teacher candidates. Course cannot be used as part of the major or minor in mathematical
sciences with exception of major for the single subject teaching credential.

**MATH 496. Experimental Topics (1-4)**

Selected topics. May be repeated with new content. See Class Schedule for specific content. Limit of nine units of any combination of 296, 496, 596 courses
applicable to a bachelor’s degree.

**MATH 499. Special Study (1-3)** **Prerequisites:** Consent of instructor and at least one 300-level mathematics course with a grade
of C (2.0) or better.

Individual study. Maximum credit six units. No more than three units may be applied
to the major.

## Upper Division Courses

(also acceptable for advanced degrees)

**MATH 508. Dynamical Systems and Modeling (3)** (Syllabus)**Prerequisite:** Mathematics 254 or graduate standing.

Differential equations using analytical, graphical, and numerical representations.

**MATH 509. Computers in Teaching Mathematics (3) ****Prerequisite:** Mathematics 252 with a grade of C (2.0) or better.

Proof of completion of prerequisite required: Copy of transcript. **Course hours:** Two lectures and three hours of laboratory.

Solving mathematical tasks using an appropriate computer interface, and problem-based
curricula. Intended for those interested in mathematics teaching.

**MATH 510. Introduction to the Foundations of Geometry (3)** (Syllabus)**Prerequisite:** Mathematics 151 and 302 with a grade of C (2.0) or better.

Proof of completion of prerequisite required: Copy of transcript.

The foundations of Euclidean and hyperbolic geometries. Highly recommended for all
prospective teachers of high school geometry.

**MATH 520. Algebraic Structures (3)** **Prerequisite:** Mathematics 320 with a grade of C (2.0) or better or graduate standing. *Proof of completion of prerequisite required: Copy of transcript. *

Continuation of Mathematics 320. Group theory to include finite Abelian groups, group
homomorphisms and isomorphisms, normal subgroups, quotient groups, and Sylow theorems.
Selected advanced topics to include field extensions or integral domains. (Formerly
numbered Mathematics 521B.)

**MATH 522. Number Theory (3)** (Syllabus)**Prerequisite:** Mathematics 245 with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Theory of numbers to include congruences, Diophantine equations, and a study of prime
numbers; cryptography.

**MATH 523. Mathematical Logic (3)** **Prerequisite:** Mathematics 245 with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Propositional logic and predicate calculus. Rules of proof and models. Completeness
and the undecidability of arithmetic. Not open to students with credit in Philosophy
521.

**MATH 524. Linear Algebra (3)** (Syllabus)**Prerequisites:** Mathematics 245 and either 254 or 342A with a grade of C (2.0) or better in each
course. *Proof of completion of prerequisites required: Copy of transcript. *

Vector spaces, linear transformations, orthogonality, eigenvalues and eigenvectors,
normal forms for complex matrices, positive definite matrices and congruence.

**MATH 525. Algebraic Coding Theory (3)** (Syllabus) **Prerequisite:** Mathematics 254 with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Linear codes, perfect and related codes, cyclic linear codes, BCH codes, burst error-correcting
codes.

**MATH 530. Advanced Calculus II (3)** (Syllabus) **Prerequisite:** Mathematics 330 with a grade of C (2.0) or better or graduate standing. *Proof of completion of prerequisite required: Copy of transcript. *

Formal definitions and analysis within the framework of single variable functions.
Advanced concepts in analysis. (Formerly numbered Mathematics 534B.)

**MATH 531. Partial Differential Equations (3)** **Prerequisites:** Mathematics 237 and 252 with a grade of C (2.0) or better in each course. *Proof of completion of prerequisites required: Copy of transcript. *

Boundary value problems for heat and wave equations: eigenfunction expansions, Sturm-Liouville
theory and Fourier series. D’Alembert’s solution to wave equation; characteristics.
Laplace’s equation, maximum principles, Bessel functions.

**MATH 532. Functions of a Complex Variable (3)** (Syllabus) **Prerequisite:** Mathematics 252 with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Analytic functions, Cauchy-Riemann equations, theorem of Cauchy, Laurent series, calculus
of residues, and applications.

**MATH 533. Vector Calculus (3)** **Prerequisite:** Mathematics 254 or 342A with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Scalar and vector fields; gradient, divergence, curl, line and surface integrals:
Green’s, Stokes’ and divergence theorems. Green’s identities. Applications to potential
theory or fluid mechanics or electromagnetism.

**MATH 537. Ordinary Differential Equations (3)** (Syllabus)**Prerequisite:** Graduate standing or Mathematics 237 or 330 with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Theory of ordinary differential equations: existence and uniqueness, dependence on
initial conditions and parameters, linear systems, stability and asymptotic behavior,
plane autonomous systems, series solutions at regular singular points.

**MATH 538. Discrete Dynamical Systems and Chaos (3)** (Syllabus)**Prerequisite:** Mathematics 237, 330, 340, or 342B with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

One- and two-dimensional iterated maps, equilibria and their stability, sensitive
dependence on initial conditions, Lyapunov exponents, horseshoe maps, period doubling,
chaotic attractors, Poincare maps, stable/unstable manifolds, bifurcations. Applications
in biology, chemistry, physics, engineering, and other sciences.

**MATH 542. Introduction to Computational Ordinary Differential Equations (3) **(Syllabus)**Prerequisites:** Mathematics 340; and either Mathematics 237, 342A, or Aerospace Engineering 280 with
a grade of C (2.0) or better in each course. *Proof of completion of prerequisites required: Copy of transcript. *

Initial and boundary value problems for ordinary differential equations. Runge-Kutta,
linear multi-step, predictor-corrector, adaptive, hybrid, shooting, and general linear
methods. System, stiffness, and non-linear problems. Iterative methods.

**MATH 543. Numerical Matrix Analysis (3)** **Prerequisites:** Mathematics 340; and either Mathematics 254, 342A, or Aerospace Engineering 280 with
a grade of C (2.0) or better. *Proof of completion of prerequisites required: Copy of transcript. *

Singular value decomposition. Projections, QR-factorization, orthogonalization, conditioning
and stability, Gaussian Elimination, LU-Factorization, pivoting strategies, Cholesky
Factorization. Iterative methods for diagonalization and eigensystem computation.
Tridiagonal, Hessenberg, and Household matrices. The QR algorithm.

**MATH 562. Mathematical Methods of Operations Research (3)** **Prerequisites:** Mathematics 252 and 254 with a grade of C (2.0) or better in each course. *Proof of completion of prerequisites required: Copy of transcript. *

Theory and applications concerned with optimization of linear and non-linear functions
of several variables subject to constraints, including simplex algorithms, duality,
applications to game theory, and descent algorithms.

**MATH 579. Combinatorics (3)** (Syllabus)**Prerequisite:** Mathematics 245 with a grade of C (2.0) or better. *Proof of completion of prerequisite required: Copy of transcript. *

Permutations, combinations, generating functions, recurrence relations, inclusion-exclusion
counting. Polya’s theory of counting, other topics and applications.

**MATH 595. Mathematical Biology and Biomedicine (3)** **Prerequisites:** Mathematics 237 and 254, or 342A, or Aerospace Engineering 280.

Mathematical and computational modeling techniques to include difference and differential
equations; probabilistic and statistical models.

**MATH 596. Advanced Topics in Mathematics (1-4)** **Prerequisite:** Consent of instructor.

Selected topics in classical and modern mathematical sciences. May be repeated with
the approval of the instructor. See Class Schedule for specific content. Limit of
nine units of any combination of 296, 496, 596 courses applicable to a bachelor’s
degree. Maximum credit of six units of 596 applicable to a bachelor’s degree. Credit
for 596 and 696 applicable to a master’s degree with approval of the graduate adviser.

## Graduate Courses

**MATH 600. Chaos and Fractals (3)** (Syllabus)**Prerequisites:** Mathematics 320 and 510.

Non-linear dynamics to include Cantor sets, fixed and periodic points, fractal dimensions,
fractals, iterative processes, orbit diagrams, orbits, period doubling, and self-similarity.

**MATH 601. Topics in Algebra (3)** (Syllabus)**Prerequisites:** Mathematics 320 and 330.

Unique factorization domains, rings and ideals, groups, algebraic field extensions.
A course designed for secondary school teachers.

**MATH 602. Topics in Analysis (3)** (Syllabus)**Prerequisites:** Mathematics 320 and 330.

Topics in analysis, including the real number system, convergence, continuity, differentiation,
the Riemann-Stieltjes integral, complex analysis, designed to give the secondary teacher
a broad understanding of the fundamental concepts.

**MATH 620. Groups, Rings, and Fields (3)** (Syllabus)**Prerequisites:** Mathematics 320 and either 520 or 522 or 525 with a grade of C (2.0) or better in
each course.

Group theory to include finite Abelian groups, isomorphism theorems, matrix groups,
and permutation groups. Ring theory to include ideals, principal ideal domains, and
unique factorization. Field theory to include field extensions and finite fields.

**MATH 621. Advanced Topics in Algebra (3)** **Prerequisite:** Mathematics 620 with a grade of C (2.0) or better.

Topics in advanced algebra. Typical courses to include algebra-geometry dictionary,
commutative algebra, groups, fields, and Galois theory. May be repeated with new content.
See Class Schedule for specific content. Maximum credit six units.

**MATH 623. Linear Algebra and Matrix Theory (3)** **Prerequisite:** Mathematics 524 with a grade of C (2.0) or better.

Characteristic and minimal polynomials, Cayley-Hamilton theorem, canonical forms,
hermitian matrices, Sylvester’s law, norms, singular values, stability, non-negative
matrices.

**MATH 625. Algebraic Coding Theory (3)** **Prerequisites:** Mathematics 525 and Mathematics 520 or 522 with a grade of C (2.0) or better in each
course.

Algebraic theory of error correction codes and decoding algorithms used in modern
communications systems. Reed-Solomon codes and algebraic decoding algorithms. Code
duality, MacWilliam’s identities and the linear programming bound. Probabilistic decoding
of convolutional codes, low-density parity-check codes and turbo codes.

**MATH 626. Cryptography (3)** **Prerequisites:** Mathematics 320 and 522 with a grade of C (2.0) or better in each course.

Design of secure cryptosystems with applications. Classical and public key cryptosystems.
Primality testing, factoring, discrete log problem, and knapsack problem.

**MATH 630. Applied Real Analysis (3)** (Syllabus) **Prerequisite:** Mathematics 330 with a grade of B- (2.7) or better. Recommended: Mathematics 530
with a grade of B- (2.7) or better.

Lebesgue measure and integration, metric spaces, Banach spaces, Hilbert spaces. (Formerly
numbered Mathematics 630A.)

**MATH 633. Advanced Topics in Analysis (3)** **Prerequisite:** Mathematics 630. Recommended: Mathematics 668.

Specific topics in analysis to include Lebesgue and Sobolev spaces and spectral theory.
Investigation of new theoretical tools and their applications.

**MATH 635. Pattern Formation (3)** (Syllabus)**Prerequisites:** Mathematics 237 or 531 and Mathematics 254 or 342A, 342B.

Linear stability, marginal stability curves, classification. One dimensional patterns,
bifurcations. Two dimensional patterns, square and hexagonal patterns, spirals, defects.
Diffusion driven instability, Turing patterns. Spatio-temporal chaos. Applications
in biology, chemistry, and physics.

**MATH 636. Mathematical Modeling (3)** (Syllabus) **Prerequisites:** Mathematics 237 and 254 or Mathematics 342A and 342B or Aerospace Engineering 280
with a grade of C (2.0) or better in each course.

Advanced models from the physical, natural, and social sciences. Emphasis on classes
of models and corresponding mathematical structures.

**MATH 638. Continuous Dynamical Systems and Chaos (3)** (Syllabus)**Prerequisites:** Mathematics 237 or 537 and Mathematics 254 or 342A, 342B with a grade of C (2.0)
or better in each course.

Nonlinear systems of differential equations, potential fields, periodic solutions,
Lyapunov function. Chaos in differential equations, Lyapunov exponents, chaotic attractors,
Poincare maps. Lorenz and Rossler attractors, forced oscillators, Chua’s circuit,
stable manifolds. Bifurcations. Applications in science and engineering.

**MATH 639. Nonlinear Waves (3)** (Syllabus)**Prerequisite:** Mathematics 531 or 537 with a grade of C (2.0) or better.

Linear waves, dissipation, dispersion. Conservation laws. Water waves. KdV equation,
solitary waves, cnoidal waves. Scattering and inverse scattering. Perturbation theory.
Nonlinear Schroedinger equation, dark and bright solitons, vortex solutions. Variational
techniques, modulational instability, stability.

**MATH 667. Mathematical Aspects of Systems Theory (3)** **Prerequisites:** Mathematics 524 and 537 with a grade of C (2.0) or better in each course.

Linear and nonlinear systems, nonlinear differential equations, equilibrium equations.
Linearization, state transition matrix, stability theory, feedback control systems.

**MATH 668. Applied Fourier Analysis (3)** (Syllabus) **Prerequisites:** Mathematics 330, 524; 530 or 532 with a grade of C (2.0) or better in each course.

Discrete and continuous Fourier transform methods with applications to statistics
and communication systems.

**MATH 693A. Advanced Numerical Methods: Computational Optimization (3)** **Prerequisites:** Mathematics 340 and 524 with a grade of C (2.0) or better in each course.

Numerical optimization: Newton, Truncated-Newton, and Quasi-Newton methods for unconstrained
optimization; with applications to nonlinear least squares, orthogonal distance regression,
and nonlinear equations.

**MATH 693B. Advanced Numerical Methods: Computational Partial Differential Equations
(3)** **Prerequisites:** Mathematics 340 and 531 with a grade of C (2.0) or better in each course.

Methods for hyperbolic, parabolic, and elliptic partial differential equations: consistency,
stability, convergence.

**MATH 695. Communication in Interdisciplinary Applied Mathematics (3)** (Syllabus)**Prerequisite:** Graduate standing.

Analysis of research publications. Communication skills for interdisciplinary mathematics.
Development of a grant proposal and outreach item. Maximum credit three units applicable
to a master’s or doctoral degree.

**MATH 696. Selected Topics in Mathematical Sciences (3)** **Prerequisite:** Graduate standing.

Intensive study in specific areas of mathematical sciences. May be repeated with new
content. See Class Schedule for specific content. Credit for 596 and 696 applicable
to a master’s degree with approval of the graduate adviser.

**MATH 720. Seminar (1-3)** **Prerequisite:** Consent of instructor.

An intensive study in advanced mathematics. May be repeated with new content. See
Class Schedule for specific content. Maximum credit six units applicable to a master’s
degree.

**MATH 790. Practicum in Teaching of Mathematics (1) [Cr/NC]** **Prerequisite:** Award of graduate teaching associateship in mathematics.

Supervision in teaching mathematics. Lecture writing, style of lecture presentation
and alternatives, test and syllabus construction, and grading system. Not applicable
to an advanced degree. Required for first semester GTA’s.

**MATH 797. Research (1-3) [Cr/NC/RP]** **Prerequisite:** Six units of graduate level mathematics.

Research in one of the fields of mathematics. Maximum credit six units applicable
to a master’s degree.

**MATH 798. Special Study (1-3) [Cr/NC/RP]** **Prerequisite:** Consent of staff; to be arranged with department chair and instructor.

Individual study. Maximum credit six units applicable to a master’s degree.

**MATH 799A. Thesis or Project (3) [Cr/NC/RP]** **Prerequisites:** An officially appointed thesis committee and advancement to candidacy.

Preparation of a project or thesis for the master’s degree.

**MATH 799B. Thesis or Project Extension (0) [Cr/NC]** **Prerequisite:** Prior registration in Thesis or Project 799A with an assigned grade symbol of RP.

Registration required in any semester or term following assignment of RP in Course
799A in which the student expects to use the facilities and resources of the university;
also student must be registered in the course when the completed thesis or project
is granted final approval.

**MATH 799C. Comprehensive Examination Extension (0) [Cr/NC]** **Prerequisite:** Completion or concurrent enrollment in degree program courses.

Registration required of students whose only requirement is completion of the comprehensive
examination for the master’s degree Registration in 799C limited to two semesters.