**CMSC 460: Computational Methods (3 credits) Permission Required.**

**Prerequisite:** 1 course with a minimum grade of C- from (MATH240, MATH341, MATH461); and 1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (CMSC106, CMSC131); and minimum grade of C- in MATH246.

**Also offered as:**AMSC460.

**Credit only granted for:**AMSC460, AMSC466, CMSC460, or CMSC466.

**CMSC 467: Intro to Numerical Analysis II**

**MATH 403: Intro to Abstract Algebra (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH240, MATH461, MATH340); and 1 course with a minimum grade of C- from (MATH341, MATH241); and minimum grade of C- in MATH310. Or students who have taken courses with comparable content may contact the department.

**Credit only granted for:**MATH402 or MATH403.

**MATH 404: Field Theory (3 Credits)**

**Prerequisite:**Minimum grade of C- in MATH403.

**MATH 405: Linear Algebra (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and minimum grade of C- in MATH310.

**MATH 432: Intro to Point Set Topology (3 Credits)**

**Prerequisite:**Minimum grade of C- in MATH410.

**MATH 436: Differential Geometry I (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (MATH461, MATH240, MATH341); and must have completed two 400-level MATH courses with a minimum grade of C- (not including MATH461, 478, and 480’s).

**MATH 437: Differential Geometry II (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (MATH240, MATH341, MATH461).

**Recommended:**MATH405, MATH403, MATH436, MATH410, or MATH432.

**MATH 452: Introduction to Dynamics and Chaos (3 Credits)**

**Prerequisite:**MATH341. Or MATH246; and (MATH240 or MATH461).

**Also offered as:**AMSC452.

**Credit only granted for:**AMSC452 or MATH452.

**MATH 462: PDEs for Scientists and Engineers (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH241, MATH340); and 1 course with a minimum grade of C- from (MATH246, MATH341).

**MATH 463: Complex Variables for Scientists and Engineers (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH241, MATH340).

**MATH 464: Transform Methods for Scientists and Engineers (3 Credits)**

**Prerequisite:**1 course with a minimum grade of C- from (MATH246, MATH341).

**MATH 475: Combinatorics and Graph Theory (3 credits). Permission Required**

**Prerequisite:**1 course with a minimum grade of C- from (MATH240, MATH341, MATH461); and 1 course with a minimum grade of C- from (MATH241, MATH340); and permission of CMNS-Mathematics department.

**Also offered as:**CMSC475.

**Credit only granted for:**MATH475 or CMSC475.

**STAT 410: Introduction to Probability Theory (3 Credits).**

**Prerequisite:**1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241).

**Also offered as:**SURV410.

**Credit only granted for:**STAT410 or SURV410.

**STAT 420: Introduction to Statistics (3 Credits). Offered Spring only.**

**Prerequisite:**1 course with a minimum grade of C- from (SURV410, STAT410).

**Also offered as:**SURV420.

**Credit only granted for:**STAT420 or SURV420.

**ENME 605: Advanced Systems Control (3 Credits) ***Prerequisite: ENME462; or permission of instructor.*

*Prerequisite: ENME462; or permission of instructor.*

**ENME 610: Engineering Optimization (3 Credits).**

Overview of applied single- and multi- objective optimization and decision making concepts and techniques with applications in engineering design and/or manufacturing problems. Topics include formulation examples, concepts, optimality conditions, unconstrained/constrained methods, and post-optimality sensitivity analysis. Students are expected to work on a semester-long real-world multi-objective engineering project.

**ENME 625: Multidisciplinary Optimization (3 Credits).**

Overview of single- and multi-level design optimization concepts and techniques with emphasis on multidisciplinary engineering design problems. Topics include single and multilevel optimality conditions, hierarchic and nonhierarchic modes and multilevel post optimality sensitivity analysis. Students are expected to work on a semester-long project.

**ENME 700: Advanced Mechanical Engineering Analysis (3 Credits)**

An advanced, unified approach to the solution of mechanical engineering problems, emphasis is on the formulation and solution of equilibrium, eigenvalue and propagation problems. Review and extension of undergraduate material in applied mathematics with emphasis on problems in heat transfer, vibrations, fluid flow and stress analysis which may be formulated and solved by classical procedures.

**ENME 725: Probabilistic Optimization (3 Credits).**

**Prerequisite:**An advanced undergraduate course in probability and a graduate course in optimization or permission of the instructor required.

**Also offered as:**ENCE725.

**Credit only granted for:**ENME725 or ENCE725.

**ENME 745: Computational Methods in Science and Engineering (3 Credits)**

**Credit only granted for:**ENME745 and ENME808B.

**Formerly:**ENME808B.

**ENRE 620: Mathematical Techniques of Reliability Engineering (3 Credits). ***Prerequisites: MATH 246 or permission of department.*

*Prerequisites: MATH 246 or permission of department.*

**ENRE 655: Advanced Methods in Reliability Modeling (3 Credits)**

**Prerequisite:**ENRE602.

**Credit only granted for:**ENRE655 or ENRE665.

**Formerly:**ENRE665.

**Any MATH, STAT, or AMSC course at the 600 level or above**