Fall 2017

## Multivariable Calculus

Linear approximation and Taylor’s theorems, Lagrange multiples and constrained optimization, multiple integration and vector analysis including the theorems of Green, Gauss, and Stokes.

## Introduction to Multivariable Calculus

An introduction to multivariable calculus through vectors in 3D, curves, functions of several variables, partial derivatives, min/max problems, multiple integration. Vector Calculus not covered.

## Linear Algebra with Abstract Vector Spaces

This is an intensive course on linear algebra, taught at a sophisticated and abstract level.

## Linear Algebra

Linear algebra through eigenvalues, eigenvectors, applications to linear systems, least squares, diagonalization, quadratic forms.

## Introduction to Linear Algebra

An introduction to linear algebra through eigenvalues and eigenvectors, applications to linear systems, least squares.

## Integral Calculus

Definite and indefinite integrals, techniques of integration, improper integrals, infinite series, applications.

## Differential Calculus

Differential calculus including applications and the underlying theory of limits for functions and sequences.

## Precalculus

Analytic geometry, the function concept, polynomials, exponential, logarithms, trigonometric functions, mathematical induction, the theory of equations.