# Teaching¶

## Courses Taught at Tulane University:¶

### Fall 2019: MATH 4470/6470: Analytical Methods of Applied Mathematics.¶

Derivations of transport, heat/reaction-diffusion, wave. Poisson’s equations; well-posedness; characteristics for first order PDE’s; D’Alembert formula and conservation of energy for wave equations; propagation of waves; Fourier transforms; heat kernel, smoothing effect; maximum principles; Fourier series and Sturm-Liouville eigenexpansions; method of separation of variables; frequencies of wave equations, stable and unstable modes, long-time behavior of heat equations; delta function; fundamental solution of Laplace equation, Newton potential; Green’s function and Poisson formula; Dirichlet Principle.

### Fall 2019: MATH 2210: Calculus II.¶

Integration; exponential, logarithmic, and trigonometric functions; techniques of integration; mean value theorem; Taylor’s Theorem and Taylor series; and infinite series.

### Fall 2018: MATH 2210: Calculus III.¶

A basic course in differential and integral calculus of several variables. Vectors in the plane and space. Vector functions, derivatives, arc length. Functions of several variables: continuity, partial derivatives, chain rule, gradient, optimization, Lagrange multipliers. Double and triple integrals: change of variables, polar coordinates, cylindrical and spherical coordinates, surface area. Vector fields: gradient, curl, divergence, line and surface integrals, Green’s, Stokes’, and Divergence theorems.

### Spring 2018: MATH 2210: Calculus III.¶

A basic course in differential and integral calculus of several variables. Vectors in the plane and space. Vector functions, derivatives, arc length. Functions of several variables: continuity, partial derivatives, chain rule, gradient, optimization, Lagrange multipliers. Double and triple integrals: change of variables, polar coordinates, cylindrical and spherical coordinates, surface area. Vector fields: gradient, curl, divergence, line and surface integrals, Green’s, Stokes’, and Divergence theorems.

### Fall 2017: MATH 1310: Consolidated (combined calculus I and II).¶

A combined course in Calculus I and II for students with a background in Calculus I. Quick review of Calculus I, then techniques of integration, applications of integration, and infinite sequences and series.