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Precalculus with Limits | Welcome

MAT 142 - Precalculus with Limits

Syllabus (Spring 2024)

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






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