TTC VIDEO - Understanding Calculus - Problems, Solutions, And Tips

Download:
1.A Preview of Calculus

2.Review—Graphs, Models, and Functions

3.Review—Functions and Trigonometry

4.Finding Limits

5.An Introduction to Continuity

6.Infinite Limits and Limits at Infinity

7.The Derivative and the Tangent Line Problem

8.Basic Differentiation Rules

9.Product and Quotient Rules

10.The Chain Rule

11.Implicit Differentiation and Related Rates

12.Extrema on an Interval

13.Increasing and Decreasing Functions

14.Concavity and Points of Inflection

15.Curve Sketching and Linear Approximations

16.Applications—Optimization Problems, Part 1

17.Applications—Optimization Problems, Part 2

18.Antiderivatives and Basic Integration Rules

19.The Area Problem and the Definite Integral

20.The Fundamental Theorem of Calculus, Part 1

21.The Fundamental Theorem of Calculus, Part 2

22.Integration by Substitution

23.Numerical Integration

24.Natural Logarithmic Function—Differentiation

25.Natural Logarithmic Function—Integration

26.Exponential Function

27.Bases other than e

28.Inverse Trigonometric Functions

29.Area of a Region between 2 Curves

30.Volume—The Disk Method

31.Volume—The Shell Method

32.Applications—Arc Length and Surface Area

33.Basic Integration Rules

34.Other Techniques of Integration

35.Differential Equations and Slope Fields

36.Applications of Differential Equations