Math104 Syllabus of Topics

Intermediate Algebra:
(Martin-Gay text)

Chapter 3: Graphs and Functions
3.1 Graphing Linear Equations
3.2 The Slope of a Line
3.3 The Slope-Intercept Form
3.4 Equations of Lines
3.5 Graphing Linear Inequalities [through Example 2 (p.184)]
3.6 Introduction to Functions
3.7 Domain, Range, and Piecewise Defined Functions
3.8 Shifting and Reflecting Graphs of Functions

Chapter 4: Systems of Equations and Inequalities
4.1 Solving Systems of Linear Equations in Two Variables
4.3 Systems of Linear Equations and Problem Solving

Chapter 5: Polynomials and Polynomial Functions
5.1 Polynomial Functions, Add and Subtract Polynomials
5.2 Multiplying Polynomials
5.4 GCF and Factoring by Grouping [include the latter]
5.5 Factoring Trinomials
5.6 Factoring by Special Products [exclude sum and difference of cubes]
5.7 Solving Equations by Factoring

Test #1
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Test #2
Chapter 6: Rational Expressions
6.1 Rational Functions, Multiply and Divide Rational Expressions
6.2 Adding and Subtracting Rational Expressions
6.3 Simplifying Complex Fractions
6.4 Solving Equations Containing Rational Expressions

Chapter 7: Rational Exponents, Radicals, Complex Numbers
7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Adding, Subtracting, and Multiplying Radical Expressions
7.5 Rationalizing Numerators and Denominators of Radical Expressions
7.6 Radical Equations and Problem Solving
7.7 Complex Numbers

Chapter 8: Quadratic Equations and Functions
8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations Using the Quadratic Formula [include discriminant]
8.3 Solving Quadratic Equations by Using Quadratic Methods

Test #2
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Test #3
Chapter 9: Exponential and Logarithmic Functions
9.1 The Algebra of Functions
9.2 Inverse Functions
9.3 Exponential Functions
9.4 Logarithmic Functions
9.5 Properties of Logarithms
9.6 Common and Natural Logarithms, Change of Base [include the latter]
9.7 Problem Solving [include taking log of both sides of an exponential equation]

Chapter 10: Conic Sections
10.1 The Parabola and the Circle
10.2 The Ellipse and the Hyperbola [include picture and standard form of the latter]

Trigonometry
(Blitzer text)

Chapter 4: Trigonometric Functions
4.1 Angles and Radian Measure
4.2 Trigonometric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions [through Example 2 (pp.717-8)]

Test #3
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after Test #3

Chapter 5: Analytic Trigonometry
5.1 Verifying Trigonometric Identities [through Example 2 (p.750)]
5.2 Sum and Difference Formulas [through Example 2 (p.760)]

Chapter 6: Additional Topics in Trigonometry
6.3 Polar Coordinates

Additional Topics
(Blitzer text)

Section 9.5: Parametric Equations [through Example 3 (p.859); use exercise #70 for hw]
Section 10.1: Summation Notation