Complete Test Prep: Precalculus, Part 4

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

1 − Sequences

2 − Summation Notation

3 − Arithmetic Sequences

4 − Geometric Sequences

5 − Sums of Finite and Infinite Geometric Series

6 − Applications of Geometric Sequences and Series

7 − Finite Difference of a Sequence

8 − Mathematical Induction

9 − Sums of Powers of Integers

10 − Binomial Coefficients

11 − The Binomial Theorem

12 − Counting Principles

13 − Permutations and Combinations

14 − Probability

15 − Real-World Probability Problems

16 − Introduction to Vectors

17 − Component Form of Vectors

18 − Basic Vector Operations

19 − Linear Combinations of Unit Vectors

20 − Magnitude of Vectors

21 − Direction Angle of Vectors

22 − Using Magnitude and Direction Angle to Write the Component Form of Vectors

23 − Finding a Unit Vector

24 − Applications of Vectors

25 − The Dot Product

26 − Angle Between Two Vectors

27 − Orthogonal Vectors

28 − Projections of Vectors

29 − Writing Vectors as Sums of Vector Components

30 − Using Vectors to Find Work Done by a Force

31 − Inclination of Lines

32 − Angle Between Two Lines

33 − Parabolas and Other Conic Sections

34 − Applications of Parabolas

35 − Ellipses

36 − Axes and the Eccentricity of Ellipses

37 − Hyperbolas

38 − Applications of Ellipses and Hyperbolas

39 − Classifying Conic Sections

40 − Changing Equations from Standard to Vertex Form

41 − Rotation of Axes

42 − Classifying Conics by the Discriminant

43 − Polar Coordinates

44 − Rectangular and Polar Equations

45 − Parametric Equations