Math 040
Algebra, Trigonometry, and Analytic Geometry
5 credits
Algebra, Trigonometry, and Analytic Geometry
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Blue Book Description:
Concepts of algebra; equations; inequalities; functions; graphs;
polynomial and rational functions; exponential and logarithmic functions;
trigonometry; analytic geometry; complex numbers.
Pre-requisites: Satisfactory performance on the mathematics proficiency examination (score at least 13 on MATH 040 FTCAP test, or at least 12 on MATH 140 FTCAP test). Pre-requisite for: MATH 140 Suggested Textbook: Algebra and Trigonometry, 8th edition, by Sullivan, published by Pearson Prentice Hal, ISBN: 0-13-232903-4l. Check with your instructor to make sure this is the textbook used for your section. |
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Advice:
Topics
- Chapter R (Review)
- R.1 Real Numbers
R.2 Algebra Essentials
R.3 Geometry Essentials
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents - Chapter 1
- 1.1 Linear Equations
1.2 Quadratic Equations
1.3 Complex Numbers
1.4 Radical Equations/Quadratic Form
1.5 Solving Inequalities
1.6 Equations/Inequalities with Abs.Value
1.7 Problem Solving - Chapter 2
- 2.1 Distance and Midpoint
2.2 Graphs of Equations in two variables
2.3 Lines
2.4 Circles - Chapter 3
- 3.1 Functions
3.2 Graph of a Function
3.3 Properties of Functions
3.4 Piecewise-defined Functions
3.5 Graphing Techniques
3.6 Mathematical Models - Chapter 4
- 4.1 Linear Functions
4.3 Quadratic Functions
4.5 Inequalities involving Quadratic Functions - Chapter 5
- 5.1 Polynomial Functions and models
5.2 Properties of Rational Functions
5.3 Graph of Rational Functions
5.4 Real Zeros of a Polynomial Function
5.5 Complex Zeros; Fund. Thm. of Algebra - Chapter 6
- 6.1 Composite Functions
6.2 One-to One Functions; Inverse Functions
6.3 Exponential Functions
6.4 Logarithmic Functions
6.5 Properties of Logarithms
6.6 Logarithmic and Exponential Equations
6.7 Compound Interest
6.8 Exponential, Logistic Growth/Decay - Chapter 7
- 7.1 Angles and Their Measure
7.2 Right Triangle Trigonometry
7.3 Trigonometric Functions of Acute Angles
7.4 Trig. Functions of General Angles
7.5 Unit Circle Trigonometry
7.6 Graphs of Sine and Cosine
7.7 Graphs of TAN, COT, CSC, SEC
7.8 Phase Shift - Chapter 8
- 8.1 Inverse Sine, Cosine, and Tangent
8.2 Inverse Trig Functions, Cont.
8.3 Trigonometric Identities
8.4 Sum and Difference Formulas
8.5 Double-angle and Half-angle Formulas
8.6 Product-to-Sum; Sum-to-Product Formulas
8.7 Trigonometric Equations I
8.8 Trigonometric Equations II - Chapter 9
- 9.2 Law of Sines
9.3 Law of Cosines - Chapter 11
- 11.1, 11.2 The Parabola
11.3 The Ellipse
11.4 The Hyperbola - Chapter 12
- 12.1 Systems of Linear Equations
12.6 Systems of Nonlinear Equations
