# Computational and Applied Mathematics (CAM) Course Descriptions and Current Course Syllabi

## (A minor in CAM requires six courses chosen from this list.)

1351 **Mathematical Technology (3-0).** Mathematical software applications, including both computer algebra systems and mathematical typesetting software. (Credit may not be earned for both this course and Mathematics 1351.)

**Prerequisite:** Mathematics 1302 or 1324, or a score of 26 or higher on the mathematics section of the ACT, or a score of 600 or higher on the mathematics section of the SAT.

1361 **Computer Science I.** The concepts and properties of algorithms for solving numerical and non-numerical problems. Introduction to computer and programming systems, including the development, debugging, and verification of programs, representation of data, computer characteristics and organization. (Credit may not be earned for both this course and CS 1361.)

1362 **Computer Science II.** Continuation of CS 1361/CAM 1361. Problem solving and program development techniques emphasizing modular design. Includes advanced programming topics such as class design, records, strings, pointers, and bit manipulation.

**Prerequisite:** CS 1361 or CAM 1361. (Credit may not be earned for both this course and CS 1362.)

2305 **Discrete Mathematics I (3-0).** An introduction to discrete mathematics including counting principles, combinatorics, discrete probability, sequences, series, and binomial theorem. (Credit may not be earned for both this course and MATH 2305.)

**Prerequisite:** Completion of Mathematics Texas Success Initiative (TSI) requirements.

3301 **Linear Algebra (3-0).** The algebra and geometry of finite dimensional vector spaces; determinants; linear transformations and matrices; characteristic values and vectors of linear transformations; applications. (Credit may not be earned for both this course and MATH 3301.)

**Prerequisite:** Mathematics 2331.

3305 **Discrete Mathematics II (3-0).** Graphs, matrices, computational methods, and other discrete structures. (Credit may not be earned for both this course and MATH 3305.)

**Prerequisite:** MATH 2305 or CAM 2305.

3307 **Probability and Statistics (3-0).** Mathematical models of random processes; probability spaces; random variables; dependence and independence; mean values and moments of random variables; density and distribution functions; laws of large numbers. (Credit may not be earned for both this course and MATH 3307.)

**Prerequisite:** Mathematics 2305 or Computational and Applied Mathematics 2305; Mathematics 3333.

3315 **Vector Calculus (3-0).** Calculus of vector-valued functions including differentiation, integration; line, surface, and volume integrals; gradient, divergence, and curl; integral theorems; applications. (Credit may not be earned for both this course and MATH 3315.)

**Prerequisite:** MATH 3333.

3321 **Statistics (3-0).** A survey of statistical methods including distribution, central tendency, variability, inferential procedures for two or more populations; one-way ANOVA, inferential methods for regression and correlation.

**Prerequisite:** Mathematics 1302, 1324, 1333, or 1360.

3335 **Differential Equations (3-0).** Solution of differential equations, with geometric and physical applications. (Credit may not be earned for both this course and MATH 3335.)

**Prerequisite:** MATH 3333.

4311 **Numerical Analysis (3-0).** Number representations, error analysis; roots of equations; numerical integration, approximation, and differentiation; systems of equations; approximation by spline functions; ordinary differential equations; Monte Carlo methods and simulation. (Credit may not be earned for both this course and MATH 4311.)

**Prerequisite:** Mathematics 1351 or Computational and Applied Mathematics 1351 or consent of the instructor; Mathematics 3333.

4335 **Partial Differential Equations (3-0).** A survey of partial differential equations, including classification, qualitative features, methods of solution, and applications. .(Credit may not be earned for both this course and Mathematics 4335.)

**Prerequisite:** Mathematics 3335 or Computational and Applied Mathematics 3335.

4345 **Topics in Applied Mathematics (3-0).** Selected topics in applied mathematics. May be repeated for credit when the topic varies. (Credit may not be earned for both this course and MATH 4345.)

**Prerequisite:** Consent of the instructor.

4361 **Complex Analysis (3-0).** Complex numbers, analytic functions, complex integration, power series, residues, conformal mapping, and applications. (Credit may not be earned for both this course and MATH 4361.)

**Prerequisite:** MATH 3333.

## Anticipated Mathematics Course Schedule

- Future Course Schedule - Mathematics Courses and Computational and Applied Mathematics Courses