# Directed Study in Mathematics

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## Important Files

Course Syllabus

Contact Information Form

Textbook Contract

Video Series: TI-Nspire CX

Video Series: TI-84 Plus CE

## Quarter 1 Topics

The Epsilon-Delta Definition of Limit

Related Rates

Applied Optimization Problems

Business Applications

Newton's Method

Differentials

Summation Formulas and Definite Integrals

Numerical Integration

## Quarter 2 Topics

Logarithmic Differentiation

Hyperbolic Functions

Homogeneous Differential Equations

First-Order Linear Differential Equations

Volume: The Shell Method

Work

Moments, Centers of Mass, and Centroids

Fluid Pressure and Fluid Force

## Quarter 3 Topics

Area of a Surface of Revolution

Trigonometric Integrals

Trigonometric Substitution

Partial Fractions

Indeterminate Forms and L’Hôpital’s Rule

Telescoping Series and the Root Test

Arc Length of a Polar Curve

Area of a Surface of Revolution (Polar and Parametric)

## Quarter 4 Topics

Introduction to Functions of Several Variables

Partial Derivatives

Chain Rules for Functions of Several Variables

Relative Extrema of Functions of Two Variables

Absolute Extrema of Functions of Two Variables

Iterated Integrals and Area in the Plane

Double Integrals and Volume

Change of Variables: Polar Coordinates