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Precalculus with Limits | Welcome

MAT 142 - Precalculus with Limits

Draft Syllabus (Fall 2026)

Course Description: This course emphasizes the numerical, symbolic, and graphical representation of functions needed in more advanced mathematics. Students will solve problems and explore the properties of polynomial, rational, trigonometric, exponential, and logarithmic functions. Students will also learn to solve a variety of real-world problems using different problem-solving strategies. This course includes the study of limits and continuity and is intended for those students who wish to prepare for Calculus.

Course Timeline and Notebooks

Below is a tentative timeline for our course. It includes a detailed set of discussion slides corresponding to each class meeting and assignments following most class meeting. Note that assignments are all available on MyOpenMath. Assignments are listed at the class meeting you will be prepared to start working on the assignment.

Class Meeting Topic Discussion Slides After Class
1 Introduction and What to Expect
Algebra Review, Part I
Class Slides
PDF Slides
HW 1
2 Algebra Review, Part II Class Slides
PDF Slides
 
3 Describing Intervals of Real Numbers
Functions: Notation and Evaluation
Class Slides
PDF Slides
HW 2
4 Functions: Domain and Range Class Slides
PDF Slides
 
5 Functions: Limits Rates of Change Class Slides
PDF Slides
HW 3
6 Functions: Composition Class Slides
PDF Slides
HW 4
7 Exam I    
8 Functions: Book Functions and Transformations
Functions: Graphs and Landmarks
Class Slides
PDF Slides
HW 5
9 Functions: Inverses Class Slides
PDF Slides
 
10 Linear Functions and Linear Equations Class Slides
PDF Slides
HW 6
11 Complex Numbers Class Slides
PDF Slides
HW 7
12 Quadratic Functions and Equations, Part I Class Slides
PDF Slides
HW 8
13 Quadratic Functions and Equations, Part II Class Slides
PDF Slides
 
14 Exam II    
15 Polynomial Functions and Equations Class Slides
PDF Slides
HW 9
16 Polynomial Long Division and Factoring Class Slides
PDF Slides
 
17 Rational Functions and Equations Class Slides
PDF Slides
HW 10
18 Radical Functions and Equations Class Slides
PDF Slides
 
19 Review of Exponentials and Logarithms Class Slides
PDF Slides
HW 11
20 Exponential Functions and Equations Class Slides
PDF Slides
 
21 Logarithmic Functions and Equations Class Slides
PDF Slides
 
22 Exam III    
23 Angles, the Unit Circle, and Basic Trigonometric Functions Class Slides
PDF Slides
HW 12
24 Trigonometric Functions, Inverses, and Trigonometric Equations Class Slides
PDF Slides
HW 13
25 Right Triangle Trigonometry Class Slides
PDF Slides
 
26 Exam IV    
27 Final Exams (Optional)    
28 Final Exams (Optional)    






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