Text Typically Used: |
Precalculus Essentials,
by Robert Blitzer, 2nd Edition
ISBN 0-13-222094-6
NOTE: A TI-83 or TI-82 Graphing Calculator is Required
Do not purchase until confirmed by the instructor. |
Course Content: |
Math 115 - Precalculus, is designed to prepare students for entry into Math 221, Calculus. It is expected that Math 115 students have a thorough understanding of algebra topics. Students who need to review algebra before attempting precalculus should register for Math 010. Only those with sufficient math placement test scores should enroll in Math 115.
Math 115 is an in-depth study of the concept of functions. We will specifically study linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric functions. Both algebraic and graphical techniques will be used throughout the course.
Students who are planning on taking Math 241 should enroll in
Math 117 - Precalculus for Scientists and Engineers. Any student who is not required to take precalculus for his/her major may wish to consult their advisor to determine whether Math 114, Math 113, or Math 127 is more appropriate. |
Sections and Topics Covered |
Section |
Topic |
P.7 |
Linear, Rational & Literal Equations |
P.9 |
Linear Inequalities |
1.1 |
Graphs & Graphing Utilities |
1.2 |
Basics of Functions and their Graphs |
1.3 |
More on Functions and their Graphs |
1.4 |
Linear Functions & Slope |
1.5 |
More on Slopes |
1.6 |
Transformation of Functions |
1.7 |
Combinations of Functions; Composite Functions |
1.8 |
Inverse Functions |
P.7 |
Equations: Quadratic |
2.2 |
Quadratic Functions |
2.3 |
Polynomial Functions & their Graphs |
2.6 |
Rational Functions & their Graphs |
2.7 |
Polynomial & Rational Inequalities |
3.1 |
Exponential Functions |
3.2 |
Logarithmic Functions |
3.3 |
Properties of Logarithms |
3.4 |
Exponential & Logarithmic Equations |
3.5 |
Exponential Growth & Decay Models |
4.1 |
Angles & Radian Measure |
4.2 |
Trigonometric Functions: The Unit Circle |
4.3 |
Right Triangle Trigonometry |
4.4 |
Trigonometric Functions of any Angle |
4.5 |
Graphs of Sines & Cosine Functions |
4.8 |
Applications of Trigonometric Functions |
5.1 |
Verifying Trigonometric Identites |
5.2 |
Sum & Difference Formula |
5.3 |
Double Angle Formulas |
5.5 |
Trigonometric Equations |
