IndietroMATH 162M Precalculus Course Schedule Overview
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Course Structure and Chapter Coverage
Overview
This schedule outlines the sequence of topics, homework, quizzes, and exams for a Precalculus course (MATH 162M) spanning August to December 2024. The course covers foundational algebra, equations, functions, and selected advanced topics, aligning with standard Precalculus curriculum.
Chapter and Topic Progression
Ch. 1: Equations and Inequalities
Sections 1.3–1.7: Early weeks focus on solving equations and inequalities, including applications.
Key Concepts:
Linear Equations: Equations of the form .
Quadratic Equations: Equations of the form .
Inequalities: Expressions involving , , , or .
Applications: Word problems and modeling with equations.
Example: Solve ; .
Ch. 2: Graphs and Functions
Sections 2.1–2.9: Weeks 4–7 cover function concepts, graphing, and properties.
Key Concepts:
Definition of a Function: A relation where each input has one output.
Domain and Range: Set of possible inputs and outputs.
Graphing Functions: Plotting points and analyzing shape.
Transformations: Shifts, stretches, and reflections.
Example: The function is a parabola opening upwards.
Ch. 3: Polynomial and Rational Functions
Sections 3.1–3.6: Weeks 8–11 focus on polynomial and rational functions.
Key Concepts:
Polynomial Functions: Functions of the form .
Rational Functions: Functions of the form .
Zeros and Factorization: Finding roots and factoring polynomials.
Graph Behavior: End behavior, asymptotes, and intercepts.
Example: is a cubic polynomial.
Ch. 4: Exponential and Logarithmic Functions
Sections 4.1–4.4: Weeks 12–13 cover exponential and logarithmic functions.
Key Concepts:
Exponential Functions: where .
Logarithmic Functions: , inverse of exponential.
Properties: Laws of exponents and logarithms.
Applications: Growth, decay, and solving equations.
Example: grows rapidly as increases.
Ch. 8: Systems of Equations and Inequalities
Sections 8.1, 8.4: Week 13–14 includes systems of equations and inequalities.
Key Concepts:
Solving Systems: Methods include substitution, elimination, and matrix approaches.
Applications: Modeling real-world situations with multiple variables.
Example: Solve .
Assessment Structure
Homework, Quizzes, and Exams
Homework: Assigned for each section, due weekly.
Quizzes: Cover recent sections, due weekly.
In-Class Tests: Four major tests, each covering multiple chapters.
Final Exam: Comprehensive, includes review sessions and online portion.
Sample Schedule Table
Week | Lecture Topics | Homework Due | Quiz Due | Test |
|---|---|---|---|---|
1 | 1.3, 1.4 | None | None | None |
2 | 1.5 | 1.3, 1.4 | 1.3, 1.4 | None |
4 | 2.1, 2.2 | 1.7, 2.1, 2.2 | 1.7, 2.1, 2.2 | Test 1 (1.3–1.7, 2.1–2.2) |
7 | 2.9 | 2.7, 2.8, 2.9 | 2.7, 2.8, 2.9 | Test 2 (2.4–2.9) |
10 | 3.6 | 3.4, 3.5, 3.6 | 3.4, 3.5, 3.6 | Test 3 (3.1–3.6) |
13 | 4.4, 8.1, 8.4 | 4.3, 4.4, 8.1, 8.4 | 4.3, 4.4, 8.1, 8.4 | Test 4 (4.1–4.4, 8.1, 8.4) |
15 | Final Exam Review | None | None | Final Exam |
Summary of Covered Precalculus Topics
Equations and Inequalities (Ch. 1)
Graphs and Functions (Ch. 2)
Polynomial and Rational Functions (Ch. 3)
Exponential and Logarithmic Functions (Ch. 4)
Systems of Equations and Inequalities (Ch. 8)
Additional info: The schedule does not explicitly mention trigonometric functions, matrices, or conic sections, but the chapters listed align with core Precalculus content. Students should refer to their textbook for detailed coverage of each section.
