Complete Test Prep: Calculus, Part 4

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Topics by section in this volume (the fourth of four Parts):

1 − Interpreting a Velocity Function

2 − Finding Position from Displacement

3 − Calculating Total Distance Traveled

4 − Applications of Integrals as Net Change

5 − Calculating the Area between Curves

6 − Calculating Area Between Intersecting Curves

7 − Boundaries with Changing Functions

8 − Integrating with Respect to the y-variable

9 − Volumes of Solids of Revolution

10 − Finding Volumes using Square Cross Sections

11 − Finding Volumes using Circular Cross Sections

12 − Volumes of Solids of Revolution: Shell Method

13 − Arc Length and Surface Areas of Revolution

14 − Vertical Tangents, Corners, and Cusps

15 − More Applications of Definite Integrals

16 − Trigonometric Integrals

17 − Integrating Using Trigonometric Substitution

18 − Identifying Indeterminate Forms

19 − L'Hopital's Rule 135

20 − Improper Integrals: Infinite Limits

21 − Improper Integrals: Infinite Discontinuities

22 − Parametric Curves in the Plane

23 − Slope and Concavity on Parametric Curves

24 − Arc Length and Parametric Curves

25 − Cycloids

26 − Using Polar Coordinates

27 − Polar Graphs

28 − Tangent Line Slopes on Polar Curves

29 − Finding Areas Enclosed by Polar Curves

30 − Graphing Polar Equations in Parametric Form

31 − Geometric Series

32 − Identifying Functions by Series

33 − Differentiating and Integrating Series

34 − Constructing a Series

35 − Series for sin x and cos x

36 − Taylor and Maclaurin Series

37 − Combining Taylor and Maclaurin Series

38 − Table of Taylor and Maclaurin Series

39 − Taylor Polynomials

40 − Remainder Estimation Theorem

41 − Euler's Formula

42 − Convergence

43 − Testing Power Series for Convergence

44 − Comparing Non-negative Series

45 − The Ratio Test and Endpoint Convergence