A course in algebra, trigonometry and analytic geometry necessary for a study of the calculus of elementary algebraic and transcendental functions. Topics include equations and inequalities of first and second degree, functions and graphs (linear, quadratic, polynomial rational, radical, and a discussion of exponential logarithmic, and trigonometric functions).
Credits: 3
Hours: 60 (Lecture Hours: 3; Seminars and Tutorials: 1)
Total Weeks: 15
Prerequisites:
Principles of Mathematics 11, Pre-Calculus 11, or Math 040 Advanced Algebraic Mathematics
Non-Course Prerequisites:
None
Co-requisites:
None
Course Content:
- Basic Algebra Review
- Equations and Inequalities Chapter
- Graphs and Functions Chapter
- Polynomial and Rational Functions Chapter
- Inverse, Exponential and Logarithmic Functions Chapter
- Trigonometric Functions Chapter
- The Circular Functions and Their Graphs Chapter
- Trigonometric Identities and Equations Chapter
- Applications of Trigonometry Chapter
- Systems and Matrices Chapter
- Analytic Geometry Chapter
Learning Outcomes:
Upon successful completion of this course, students will be able to:
- Solve elementary algebraic and geometric problems
- Solve elementary linear inequalities problems.
- Describe the importance of functions/graphs and give examples of their use in science
- Solve elementary inverse function problems.
- Solve polynomial, exponential, and logarithmic function problems
- Solve problems involving absolute value and positive square root functions
- Graph sinusoidal functions
- Solve problems involving trigonometric identities and trigonometric equations
- Solve problems in any of the course topics
- Formulate mathematical models using the various functions described in the course
Grading System: Letters
Passing Grade: D (50%)
Percentage of Individual Work: 100
Textbooks:
Textbooks are subject to change. Please contact the bookstore at your local campus for current book lists.