MAC 1147 — Precalculus Algebra and Trigonometry — Syllabus
Prerequisites: C (2.0) or better in MAC 1105, or SAT Math score of 550 or better, or ACT Math score of 24 or better, or College-Level Math CPT score of 60 or better.
Course Description: The course meets for approximately 55 hours during a 15-week semester. Successful completion of the course merits 4 semester hours of credit and provides sufficient background for the calculus sequences MAC 2281, 2282, 2283 and MAC 2311, 2312, 2313. The schedule outlined below allows time for four midterm exams, which is the norm for this course. (Note: A “lecture” is defined as a 50-minute time period.) This course has a common final exam, which is cumulative and all multiple choice.
Text: Precalculus, by Ratti and McWaters.
Course Content
Chapter 5 Trigonometric Functions (8-10 lectures)
5.1 Angles and Their Measure
5.2 Right Triangle Trigonometry
5.3 Trigonometric Functions of Any Angle
5.4 Graphs of the Sine and Cosine Functions
5.5 Graphs of the Other Trigonometric Functions
5.6 Inverse Trigonometric Functions
Chapter 6 Analytic Trigonometry (6-8 lectures)
6.1 Trigonometric Identities and Equations
6.2 Verifying Trigonometric Equations
6.3 Trigonometric Equations
6.4 Double- Angle and Half-Angle Formulas
6.5 Product-to-Sum and Sum-to-Product Formulas (optional)
Chapter 7 Applications of Trigonometric Functions (6-8 lectures)
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Vectors
7.4 Polar Coordinates
7.5 Polar Form of Complex Numbers: DeMoivre's Theorem (optional)
Chapter 8 Systems of Equations and Inequalities (5-6 lectures)
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in Three Variables
8.3 Partial Fraction Decomposition
8.4 Systems of Linear Inequalities; Linear Programming
8.5 Nonlinear Systems of Equations and Inequalities
Chapter 9 Matrices and Determinants (omit)
9.1 Matrices and Systems of Equations
9.2 Matrix Algebra
9.3 The Matrix Inverse
9.4 Determinants and Cramer's Rule
Chapter 10 The Conic Sections (5-6 lectures)
10.1 Conic Sections: Overview
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
Chapter 11 Further Topics in Algebra (5-6 lectures)
11.1 Sequences and Series
11.2 Arithmetic Sequences; Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction (omit)
11.5 The Binomial Theorem
11.6 Counting Principles (omit)
11.7 Probability (omit)
[ Return to Course
Descriptions ]