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

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