APPL584A
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APPL584A - Theoretical Foundations of Applied Mathematics I
Course ID
041860
Course Description
Analysis: Euclidean space; Metric spaces; Limits; Vector spaces; Norms; Basic inequalities of functional analysis. Convexity and Optimization: Convexity of sets, functions, optimization; Duality Theorem; Optimization Algorithm (convergence, uniqueness, complexity). Topology: open & closed sets; Metric topology; Completeness; Compactness; Contraction mapping. Integration: Riemann integral; Convergence; Multi-dimensional integrals; Flux; Flow; Conservation Laws; Divergence theorem. Other topics as chosen by the instructor.
Min Units
3
Max Units
3
Repeatable for Credit
No
Grading Basis
GRD - Regular Grades A, B, C, D, E
Career
Graduate
Course Attributes
CE - CL (Cross Listed), GIDP - APPL (Applied Mathematics)
Course Requisites
Admission to Applied Math GIDP
Cross Listed Courses
May be convened with
Component
Lecture
Optional Component
No