Lectures, Calculus on Demand

The following documents are from Principles of Calculus Modeling, an Interactive Approach by Donald L. Kreider and C. Dwight Lahr, copyright 2003, 2010 by the authors.

Lecture Topic
1Modeling Discrete Data; Method of Least Squares
2Lines in the Plane
Functions and Their Graphs
New Functions from Old
3Trigonometric Functions
4Exponential and Logarithmic Functions
5Case Study: Modeling the AIDS Data
6Modeling Rates of Change
7The Legacy of Galileo, Newton, and Leibniz
Limits of Functions
Limits at Infinity
Tangent lines and Their Slopes
9Tangent Lines and Their Slopes (contd.)
The Derivative
10Differentiation Rules
11Derivatives of Trigonometric Functions
12The Mean Value Theorem
Implicit Differentiation
13Derivatives of Exponentials and Logs
14Newton's Method
Linear Approximations
15Antiderivatives and Initial Value Problems
Velocity and Acceleration
16Case Study: Torricelli's Law
17Modeling with Differential Equations; Separable Differential Equations: First Look
18Exponential Growth and Decay
Separable Differential Equations
19Slope Fields and Euler's Method
Case Study: Population Modeling
20Issues in Curve Sketching
21Modeling Accumulations
22The Definite Integral
Properties of the Definite Integral
23The Fundamental Theorem of Calculus
Techniques of Integration
24Trapezoid and Simpson's rules
Areas Between Curves
25Arc Length
26Case Study: Flood Watch
27Inverse Trigonometric Functions
28Related Rates
30Volumes of Solids of Revolution