Calculus Lessons
Last updated: 08/27/2014
Author Information
Dr. Kathleen Ossman
Dr. Gregory Bucks
University of Cincinnati
Details
Description
This module contains lecture slides and assignments to teach a range of calculus concepts.
These materials are a subset of course materials from Engineering Models that is taught to hundreds of high school students in conjunction with the University of Cincinnati as a dual enrollment course.
Contents
Lessons
- Integral Applications
- Lectures:
- Integral Applications: Arc Length
- Integral Applications: Center of Mass
- Integration Applications: Area Between Curves
- Problems:
- Arc Length and Center of Mass
- Area Between Curves
- Max Min Problems
- Lecture: Solving Minimum/Maximum Problems Using Symbolic Math Toolbox
- Problems: Min Max Using MATLAB and Symbolic Math Toolbox
- Newton Raphson Algorithm
- Lecture: Introduction to Newton Raphson Algorithm
- Problems:
- Newton Raphson for Estimating the Cube Root of a Number
- Newton Raphson Algorithm for Square Root
- Numerical Differentiation
- Lecture: Numerical Differentiation
- Problems: Numerical Differentiation
- Numerical Integration
- Lecture: Numerical Integration
- Problems: A Tale of Two (Velo) Cities: Estimating the Distance Between Two Objects
- Taylor Series
- Problems:
- Taylor Series: cos(x)
- Taylor Series: Natural Log
- Taylor Series: Sin(x)
- Introduction to Symbolic Math Toolbox (Lecture)
