Math 5

Concepts

A.6 Solving Equations

A.7 Complex Numbers

A.8 Mixture, Uniform Motion, and Job Allocation problems

A.9 Interval Notation and Solving Inequalities

1.1 The Distance and Midpoint Formulas

1.2 Graphs of Equations in Two Variables and Symmetry

1.3 Lines

2.1 Functions

2.2 Graphs of Functions and 2.3 Properties of Functions

2.4 Library of Functions and Piecewise-defined Functions

2.5 Graphing Techniques; Transformations

5.1 Composite Functions

5.2 One-to-one Functions; Inverse Functions

3.3 Quadratic Functions and Their Properties

3.5 Inequalities involving Quadratic Functions

4.1 Polynomial Functions and Models

4.2 Properties of Rational Functions

4.3 The Graph of a Rational Function

4.4 Polynomial and Rational Inequalities

4.5 Real Zeros of a Polynomial Function

4.6 Complex Zeros; Fundamental Theorem of Algebra

5.3 Exponential Functions

5.4 Logarithmic Functions

5.5 Properties of Logarithms

5.6 Logarithmic and Exponential Equations

6.1 Angles and Their Measures

6.2 Trigonometric Functions: Unit Circle Approach

6.3 Properties of Trigonometric Functions

7.1 Inverse Sine, Cosine, and Tangent

7.4 Trigonometric Identities

7.5 Sum and Difference Formulas

7.6 Double-angle and Half-angle Formulas

9.4 Vectors

10.2 The Parabola

10.3 The Ellipse

1.4 The Circle

10.4 The Hyperbola

11.1 Systems of Linear Equations: Substitution and Elimination

11.6 Systems of Nonlinear Equations

Sample Exams

Sample Final A