Calculus II

Module 1: Integration of basic functions resulting from mathematical models and from observed data.

Motivating Examples

Example 1: volume-of-a-solid

Example 2: work-done-by-a-force-in-moving-an-object

Example 3: the-electric-field-of-a-line-of-charge

Mini-Projects

Mini-Project 1: automobile-velocity

Mini-Project 2: crash-safety-test

Mini-Project 3: design-of-a-roller-coaster

Mini-Project 4: gini-index

Mini-Project 5: total-cost-and-profit

Module 2: Advanced applications of integration.

Motivating Examples

Example 1: cancer-treatment

Example 2: volume-of-a-solid

Example 3: line-charge-project

Mini-Projects

Mini-Project 1: capital-value

Mini-Project 2: modeling-data

Mini-Project 3: probability

Mini-Project 4: surplus-mini-project

Module 3: Applications of infinite sequences and series.

Motivating Examples

Example 1: financial-mathematics-example

Example 2: p-series-example

Mini-Projects

Mini-Project 1: alternating-series-application

Mini-Project 2: bouncing-ball-problem

Mini-Project 3: financial-math-project

Mini-Project 4: period-of-a-pendulum

Mini-Project 5: series