Mathematics | Courses

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Department of Mathematics
One Trinity Place
San Antonio, TX 78212
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MATH 1190 - Putnam Exam Seminar
This course involves preparation for the Putnam Exam.

MATH 1301 - Precalculus
Equations and inequalities; systems of linear equations.

MATH 1307 - Calculus A
A study of functions, limits and continuity, and differential and integral calculus.

MATH 1308 - Calculus B
Application of calculus; topics include techniques of integration, ordinary differential equations, convergence of geometric series, probability, numerical analysis, and simulation.

MATH 1310 - Mathematics for Decision-Making
This course will examine a number of concepts, tools, and methods useful in the search for optimal solutions to a variety of problems, in the resolution of conflicts, and in the discernment of patterns or trends in raw data.

MATH 1311 - Calculus I
A study of functions including transcendental and trigonometric.

MATH 1312 - Calculus II
A study of methods of integration, series, and an introduction to differential equations and linear algebra.

MATH 1320 - Statistical Methods
Methods of analyzing data, statistical concepts and models, estimation, tests of significance, and regression.

MATH 1330 - Introduction to Modern Mathematics
A survey of modern mathematics.

MATH 2094 - Majors' Seminar
Attendance at the departmental seminar.

MATH 2303 - Math for Elementary School Teachers
A course based on the National Council of Teachers of Mathematics standards designed to develop understanding of the algebraic principles essential for elementary school teachers.

MATH 2321 - Calculus III
The study of partial differentiation, multiple integrals, and vector calculus.

MATH 2324 - Numerical Calculus
Introduction to the numerical algorithms fundamental to scientific computer work.

MATH 3194 - Junior Writing Workshop
Students work to improve their writing and presentation skills. Attendace at departmental seminar. 

MATH 3195 - Junior Technology Workshop
Students work to improve their mathematical software skill as well as their writing and presentation skills. Attendace at departmental seminar.

MATH 3316 - Differential Equations and Linear Algebra
The theory and applications of first-order equations, linear second-order equations, and linear systems of equations.

MATH 3320 - Probability and Statistics for Engineers and Scientists
An introduction to statistics specifically for engineers and scientists.

MATH 3323 - Linear Algebra
A study of the theory and computations of linear algebra.

MATH 3326 - Introduction to Abstract Mathematics
This course begins with an elementary survey of logic and set theory.

MATH 3327- Probabilistic Models in Life Sciences

An introduction to probabilistic modeling with emphasis on its use in biology. Fundamental concepts such as conditional probability and conditional expectation are studied in depth in order to prepare for an introduction to the theory and applications of Markov chains. Applications in biology may include birth-and-death processes, branching processes, sequence alignment, population genetics, epidemic processes, molecular evolution, and phylogenetic tree construction.

MATH 3328 - Mathematical Models in Life Sciences
The course is designed to introduce advanced tools to study discrete mathematical models in the life sciences including their practical applications.

MATH 3334 - Probability
This course covers the basic concepts of probability, including, counting methods, events, conditional probability, discrete and continuous random variables and their distributions, multivariate distributions, commonly used discrete and continuous distributions, functions of random variables, expectation, variance, covariance, and correlation.

MATH 3335 - Mathematical Statistics
This course covers the basic concepts of statistics, including samples, statistics, estimation, sampling distributions of estimators, confidence intervals, tests of hypotheses, significance, power, and simples linear regression.

MATH 3338 - Mathematical Modeling
Formulation, analysis, and interpolation of models arising in the life, physical, or social sciences.

MATH 3341 - Number Theory I
A study of the arithmetic properties of the ring of integers.

MATH 3343 - Combinatorics I
A study of the theory and problem-solving techniques of algebraic and enumerative combinatorics.

MATH 3351 - Numerical Analysis I
Methods of solution of algebraic and transcendental equations, simultaneous linear algebraic equations, numerical integration and differentiation, initial and boundary value problems for ordinary differential equations.

MATH 3352 - Numerical Analysis II
Direct and iterative solution of linear systems of equations, approximation theory, eigenvalues and eigenvectors, solution of non-linear systems of equations, boundary value problems for ordinary differential equations, numerical solutions of partial differential equations, and irregular.

MATH 3355 - Non-Euclidean Geometry
Topics include the fifth postulate of Euclid, the hyperbolic geometry of Lobachevsky, and the elliptic geometry of Riemann.

MATH 3357 - Partial Differential Equations
The heat, wave, and Laplace equations and boundary value problems, the method of separation of variables, special functions, orthogonal expansions, Sturm-Liouvulle theory, and the Fourier and Laplace transform methods.

MATH 3359 - Difference Equations
Dynamics of first order difference equations of higher order, stability analysis, and methods of the Z-transform.

MATH 3360 - Real Analysis I
An introduction to the real number system, elementary topology of Euclidean spaces, and the calculus of real-valued functions of one and several variables.

MATH 3362 - Modern Algebra I
A study of the theory of groups, rings, and fields.

MATH 3366 - Differential Equations
Introduction to the basic quantitative and qualitative concepts of differential equations.

MATH 3-90 - Reading and Conference
Course will vary in credit according to scope of work included.

MATH 3391 - Special Topics
Special topics not covered by courses described in the Courses of Study Bulletin.

MATH 4324 - Linear Algebra II
Topics beyond MATH 3323, which may include canonical forms, spectral decompositions, analysis of linear systems, and matrix norms.

MATH 4336 - Stochastic Processes
An introduction to the theory and applications of stochastic processes.

MATH 4342 - Number Theory II
Topics beyond MATH 3341, which may including the theory of fractional ideals in number fields, arithmetic functions and Dirichlet series, distribution of primes, and the prime number theorem.

MATH 4344 - Combinatorics II
Topics beyond MATH 3343, which may include Polya counting, partition theory, special functions, the R-S-K algorithm, combinatorial species, and other advanced topics in algebraic and enumerative combinatorics.

MATH 4361 - Real Analysis II
Topics beyond MATH 3360, which may include measure, Lebesgue theory, Banach and Hilbert spaces, manifolds, and differential forms.

MATH 4363 - Modern Algebra II
Topics beyond MATH 3362, which may include field and ring theory, representation theory, Galois theory, additional algebraic structures, and applications to other branches of mathematics.

MATH 4364 - Theory of Complex Variables
A study of functions of single complex variables including properties of complex numbers, analytic functions, contour integration and Cauchy/s theorem, Taylor and Laurent series, the calculus of residues and applications.

MATH 4365 - Topology
Introduction to the study of basic topological concepts including topological spaces, continuous functions, homeomorphisms, separation properties, connectedness, and compactness.

MATH 4367 - Dynamical Systems
Topics beyond MATH 3366, which may include chaos theory, bifurcation, and discrete and continuous systems.

MATH 4391 - Special Topics
This course will treat special topics not covered by courses described in the Courses of Study Bulletin.

MATH 4394 - Senior Project
Independent project under faculty supervision. Attendance at the departmental seminar.

MATH 4398, 4399 - Honors Thesis
Individual research and scholarly investigation under faculty supervision leading to the preparation of an Honors Thesis. Attendance at the departmental seminar when enrolled in 4399.

*Minor requirements
MATH 1307 or 1311, MATH 1308 or 1312, MATH 2321, and nine (9) hours of upper division mathematics.

Two students work on a problem together during a Differential Equations & Linear Algebra course.