Lectures, Calculus on Demand

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