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College Algebra Syllabus and Course Overview

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Course Overview

Introduction to College Algebra

College Algebra is a foundational mathematics course designed to prepare students for further study in mathematics and related fields. The course covers essential algebraic concepts, including equations, inequalities, functions, polynomials, rational expressions, exponential and logarithmic functions, conic sections, systems of equations, matrices, and sequences and series.

Course Topics

Main Chapters Covered

  • Review Chapter (Ch. R): Fundamental algebraic skills and concepts.

  • Equations, Inequalities, and Applications (Ch. 1): Solving linear, quadratic, and other types of equations and inequalities.

  • The Rectangular Coordinate System, Lines, and Circles (Ch. 2): Graphing and analyzing lines and circles in the coordinate plane.

  • Functions (Ch. 3): Definition, properties, and types of functions; function notation and evaluation.

  • Polynomial and Rational Functions (Ch. 4): Operations, graphing, and solving polynomial and rational functions.

  • Exponential and Logarithmic Functions and Equations (Ch. 5): Properties, applications, and solving related equations.

  • Conic Sections and Parametric Equations (Ch. 6): Circles, ellipses, parabolas, hyperbolas, and parametric equations.

  • Systems of Equations and Inequalities (Ch. 7): Methods for solving systems algebraically and graphically.

  • Matrices (Ch. 8): Matrix operations and applications in solving systems.

  • Sequences and Series; Counting and Probability (Ch. 9): Arithmetic and geometric sequences, series, and basic probability.

Expected Learning Outcomes

  • Demonstrate proficiency in solving equations and inequalities.

  • Graph and analyze functions, including polynomial, rational, exponential, and logarithmic functions.

  • Apply algebraic concepts to model and solve real-world problems.

  • Understand and use matrices and systems of equations.

  • Work with sequences, series, and basic probability concepts.

Instructional Goals and Objectives

  • Develop a strong understanding of the composition and properties of the Real Number System.

  • Master the manipulation and simplification of algebraic expressions.

  • Apply algebraic techniques to solve equations and inequalities.

  • Interpret and graph functions and relations.

  • Analyze and solve problems involving polynomial, rational, exponential, and logarithmic functions.

  • Understand the properties and applications of conic sections.

  • Solve systems of equations and inequalities using various methods.

  • Perform matrix operations and apply them to problem-solving.

  • Work with sequences, series, and probability in mathematical contexts.

Course Schedule

Chapter

Open Date (8:00 a.m. CST)

Due Date (11:59 p.m. CST)

1

8/21

8/28

2

8/28

9/11

3

9/11

9/25

4

9/25

10/9

5

10/9

10/23

Make-Up Week (Midterm)

10/23

10/30

6

10/30

11/6

7

11/6

11/13

8

11/13

11/20

9

11/20

12/4

Final Exam Week

12/4

12/11

Grades Due

12/18

Grading Policy

  • Homework: Completed online via MyLab Math, with deadlines for each section.

  • Quizzes: Given throughout the course, covering chapter material.

  • Unit/Final Exams: Comprehensive and cover all major topics; must be taken in person or via approved proctoring.

  • Make-Up Work: Allowed for up to 75% of the original grade if completed within the make-up week.

Required Materials

  • Textbook: College Algebra (5th Edition) by Ellyn Brigetta, with MyLab Math Access Code.

  • Graphing calculator (TI-84 preferred).

Support and Policies

  • Participation: Regular practice and engagement are essential for success.

  • Early Assessment: Learning progress is monitored by the fourth week of classes.

  • Academic Honesty: Cheating and plagiarism are strictly prohibited.

  • ADA Policy: Accommodations available for students with disabilities.

  • FERPA Policy: Student privacy is protected under federal law.

  • Support Services: Academic, financial aid, counseling, and safety services are available.

Additional Info

  • Students are expected to attend class regularly and complete all assignments on time.

  • Intervention and support are available for students who need extra help.

  • Course policies, guidelines, and dates are subject to change at the instructor's discretion.

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