University Mathematics
Real & Complex Analysis
Analysis of the theoretical foundations of calculus and functions in the complex plane for advanced mathematics and engineering students.
Curriculum / Syllabus
- Real Number System and Topology of R
- Sequences, Series, and Continuity (Rigorous)
- Differentiation and Riemann-Stieltjes Integral
- Analytic Functions and Cauchy-Riemann Equations
- Complex Integration (Cauchy's Theorem)
- Singularities, Taylor/Laurent Series, Calculus of Residues
Exam & Course Strategy
A heavily theoretical course. The ability to construct rigorous proofs using epsilon-delta definitions is the main focus of midterms and finals.