Department of Mathematical Sciences

Binghamton University




Math 108, PreCalculus

The list of topics below is the minimum that will be covered in the course. There will be common tests in all sections of the course, except for the evening class.

List of topics

The current (Spring 2005) textbook is Algebra and Trigonometry by Larson and Hostetler, sixth edition. The topics correspond to the numbered sections in the text.

P.1. Review of Real Numbers and Their Properties.
P.2. Exponents and Radicals.
1.2. Linear Equations in One Variable.
1.3. Modeling with Linear Equations.
1.4. Quadratic Equations.
1.6. Other Types of Equations.
1.7. Linear Inequalities in One Variable.
1.8. Other Types of Inequalities.
2.1. Linear Equations in Two Variables.
2.2 Functions.
2.3. Analyzing Graphs of Functions.
2.4. A Library of Functions.
2.5. Shifting, Reflecting and Stretching Graphs.
2.6. Combinations of Functions.
2.7. Inverse Functions.
3.1. Quadratic Functions.
3.2. Polynomial Functions of Higher Degree.
3.3. Polynomial Division.
3.4. Zeros of Polynomial Functions.
4.1. Rational Functions and Asymptotes.
4.2. Graphs of Rational Functions.
4.4. Conics.
4.5. Translations of Conics.
9.1. Solving Systems of Equations.
9.2. Two-Variable Linear Systems.
9.4. Systems of Inequalities.
5.1. Exponential Functions and Their Graphs.
5.2. Logarithmic Functions and Their Graphs.
5.3. Properties of Logarithms.
5.4. Exponential and Logarithmic Equations.
11.5. The Binomial Theorem.
6.1. Angles and Their Measure.
6.2. Right Angle Trigonometry.
6.3. Trigonometric Functions of Any Angle.
6.4. Graphs of Sine and cosine Functions.
6.5. Graphs of Other Trigonometric Functions.
6.6. Inverse Trigonometric Functions.
7.1. Using Fundamental Identities.
7.2. Verifying Trigonometric Identities.
7.3. Solving Trigonometric Equations.
7.4. Sum and Difference formulas.
7.5. Multiple-Angle and Product-to-Sum Formulas.
(Extra) Sigma Notation.