Course Description
This course provides the mathematical foundation necessary for studying calculus and advanced mathematics. Topics include algebraic fundamentals, functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions like unit circle and right triangle approaches, analytic trigonometry, polar coordinates, parametric equations, and an introduction to limits. The course will emphasize problem-solving, modeling, and the use of technology such as graphing calculators and software for exploring mathematical concepts.
Course Objectives:
By the end of the course, students should be able to:
- Demonstrate proficiency in algebraic manipulation and problem-solving.
- Analyze and graph functions including polynomial, rational, exponential, and logarithmic functions.
- Apply trigonometric functions and identities.
- Solve real-world problems using mathematical formulas.
- Work with polar coordinates, parametric equations, and vectors.
- Apply concepts of sequences, series, and limits as a preview of calculus.
- Utilize graphing technology to explore and confirm solutions.
Required Materials:
- Stewart, J., Redlin, L., & Watson, S. Precalculus: Mathematics for Calculus. (Latest edition or the one you specified)
- Larson, R., & Hostetler, R. (2007). Precalculus (7th ed.). Boston, MA: Houghton Mifflin Company.
- Blitzer, R. F. (2021). Precalculus (7th ed.). Pearson.
- A scientific graphing calculator.
- Notebook and graph paper for classwork and assignments.
Other platforms:
NB: notice that each course has specific textbooks suggested. However, if you see other platform in the reading cells you can use the following as guidelines:
- YouTube
- Google
- University Library books
- Coursera website
- Etc
