This is my first semester teaching at University of Virginia. MATH 3340 focuses on the study of functions of one complex variable and is intended for math, physics, and engineering students.
Topics include properties of complex numbers, complex functions, complex differentiability, the Cauchy-Riemann equations, harmonic functions, complex integrals, Cauchy’s Integral Theorem, power and Laurent series, the Residue Theorem, Rouché’s Theorem, and conformal mappings, as well as applications of these topics to evaluating real integrals and describing physical models.
Syllabus: See below.
Spring 2023: CLLC-L 130 Art Inspired by Mathematics (syllabus)
Spring 2022: MATH-M 119 Brief Survey of Calculus 1 (syllabus), MATH-M 118 Finite Mathematics
Fall 2021: MATH-M 118 Finite Mathematics (syllabus)
Spring 2021: MATH-D 116 Introduction to Finite Math 1
Fall 2020: MATH-D 116 Introduction to Finite Math 1
Spring 2020: MATH-M 106 Mathematics of Decision and Beauty
Fall 2019: MATH-M 120 Brief Survey of Calculus 2 (syllabus)
Summer 2019: MATH-D 116 Introduction to Finite Math 1 (syllabus)
Spring 2019: MATH-J 112 Introduction to College Math 2
Fall 2018: MATH-J 112 Introduction to College Math 2
Summer 2018: MATH-M 106 Mathematics of Decision and Beauty
Spring 2018: MATH-J 112 Introduction to College Math 2
Fall 2017: MATH-J 112 Introduction to College Math 2