Topic

Blue Book

Purple Book

# of Classes

I.  Functions

     A.  Overview

3.2

4-1, 4-2

1

     B.  Composite Functions

3.3

4-2

.5

     C.  Inverse Functions

3.4

4-5

.5

     D.  Transformations

3.1

4-3, 4-4

1

     E.  Piecewise Functions

1

II.  Types of Functions

     A.  The Equation of a Line

1-1, 1-2,  1-3, 1-4

1

     B.  Linear Equations & Inequalities

1.1, 1.2, 1.3, 1.4

1

     C.  The Quadratic Function

1.10

1-7, 1-8

1.5

     D.  Solving Quadratic Equations

1.6, 1.7, 1.8, 1.9

1-6

1.5

     E.  Systems of Equations

1.4 & Chapter 12

3

     F.  Rational Functions

1.11

1

     G.  Higher-Order Polynomial Functions

Chapter 2

optional

     H.  The Exponential Function

10.1, 10.2, 10.4

5-1, 5-2,

5-3, 5-4

1.5

      I.  The Logarithmic Function

10.3

5-5, 5-6

1.5

J.      Applications:  Exponential & Logarithmic

      Functions

supp

1

III.  Sequences & Series

      A.  Limits

19-1, supp

2

      B.  Graphs of Rational Functions

19-2

1

      C.  Arithmetic & Geometric Sequences

6.1, 6.3, 6.4

13-1

2

      D.  Recursive Definitions

13-2

optional

      E.  Arithmetic & Geometric Series & Their Sums

6.2

13-3, 13-6

2

      F.  Infinite Geometric Sequences

6.5

13-4, 13-5

2

      G.  Binomial Expansions

6.6

1

IV.  Trigonometric Applications

     A.  Solving Trigonometric Equations

8.2, 8.3

1

      B.  Area of a Triangle

2.1

9-2

.5

      C.  Law of Sines

2.4

9-3

1

      D.  Law of Cosines & Forces

2.4

9-4, supp

2

V.  Vectors

      A.  Geometric Representation

13.1, 13.2, 13.3

12-1

1

      B.  Algebraic Representation

13.1, 13.2, 13.3

12-2

1

      C.  Parallel & Perpendicular Vectors

12-4

2

      D.  Vectors in 3-Dimensions

12-5

1

      E.  Vector Equation of a Line

13.5

12-3

2

      F.  Scalar Product

13.4

12-5

1

      G.  Applications of Vectors

13.6

1

VI.  Probability

      A.  Combined Events

14.1

3

      B.  Expectation

15.7

2

      C.  Conditional Probability

14.2

16-5

3

VII.  Statistics

      A.  Analyzing Data

15.1, 15.2, 15.3, 15.4

2

     B.  Grouped Frequency

15.5, 15.6

17-2

2

     C.  Normal Distribution

15.9

17-4

2

     D.  Bernoulli Experiments

15.8

1

VIII.  Derivation Part I

     A.  Gradient of a curve

4.1

20-1

1

     B.  The Power Rule

4.2, 4.3

1

     C.  The Second Derivative

4.4

1

     D.  Equations of Lines Using Normals & Tangents

4.5

2

     E.  Gradient as a Rate of Change

4.6

2

     F.  Maxima, Minima & Inflection Points

4.7

20-2

2

     G.  Practical Applications

4.8

20-3

2

IX.  Integration Part I

     A.  Anti-Differentiation

5.1

1

     B.  Variable Acceleration

5.2

2

X.  Derivation Part II

     A.  The Chain Rule

7.1

2

     B.  The Product & Quotient Rules

7.2

2

     C.  Applications of Differentiation

7.3

1.5

XI.  Calculus with Trigonometry

     A.  Derivatives of Sine & Cosine

9.1

.5

     B.  Integration of Sine & Cosine

9.1

1.5

     C.  Differentiation of the Tangent Function

9.2

1

     D.  Applications

9.3

1

XII.  Calculus with Exponents & Logarithms

     A.  Derivation & Integration of Exponential Functions

11.1

1

     B.  Derivation & Integration of Natural Logarithms

11.2

1

     C.  Applications

11.3

1

XIII.  Integration Part II

     A.  Area Under a Curve 

5.3

2.5

     B.  Volume of a Revolution about the x-axis

5.4

2.5

Total:

87