College Algebra (Math C115) Syllabus and Course Structure Study Guide

Course Overview

Introduction to College Algebra (Math C115)

This course provides a comprehensive study of algebraic concepts at the collegiate level, focusing on functions, equations, inequalities, analytic geometry, and introductory topics in sequences, probability, and counting. The course is designed to develop proficiency in solving, graphing, modeling, and applying various algebraic functions, preparing students for further studies in mathematics and related fields.

• Course Title: Math C115: College Algebra

• Institution: Coastline Community College

• Semester: Fall 2026

• Instructor: Thomas Cao

Student Learning Outcomes & Objectives

Key Learning Outcomes

• Proficiency in Algebraic Functions: Solve, graph, model, and apply various algebraic functions at the college level.

Course Objectives

• Solve quadratic and rational equations and inequalities.

• Find the domain, range, inverse, and graph (with translations) of linear, radical, polynomial, rational, exponential, and logarithmic functions.

• Manipulate polynomials and solve polynomial equations using the Rational Zero Theorem, Synthetic Division, the Remainder Theorem, and the Factor Theorem.

• Solve polynomial equations by factoring and solve radical equations.

• Simplify expressions involving integer and rational exponents, radicals, and complex fractions.

• Use technology (calculators, software) to enhance mathematical thinking and problem-solving.

• Demonstrate quantitative reasoning and communicate mathematical arguments effectively.

Required Materials & Technology

Textbook and Online Platform

• MyLab Math (Pearson): Required for assignments, quizzes, and eTextbook access. Multiple purchase options are available, including temporary access for students awaiting financial aid.

Software & Tools

• Word Processing: Microsoft Office or equivalent (free Office 365 for students).

• PDF Viewer: Adobe Acrobat Reader (free download).

• Calculator: Scientific or graphing calculator (TI-84 recommended). Free emulators are available for PC.

Exam Material Rules

• During exams, only calculators and a double-sided formula sheet (8.5" x 11") with formulas, properties, and definitions are allowed. No worked-out problems or examples permitted.

Assessment & Grading Structure

Assignment Categories and Points Breakdown

Assignment / Assessment	Total Points	Percentage of Grade
Canvas Discussion Board Participation (14 posts @ 10 pts each)	140	14%
Homework Assignments	160	16%
Chapter Quizzes (8 total @ 25 pts each)	200	20%
Midterm Exam (Chapters 1 – 4)	200	20%
Final Exam (Comprehensive, Chapters 3 – 8)	300	30%
Total Available	1000	100%

Final Letter Grade Point Scale

Points Range	Percentage Equivalent	Letter Grade
900 – 1000	90% – 100%	A
800 – 899	80% – 89%	B
700 – 799	70% – 79%	C
600 – 699	60% – 69%	D
0 – 599	0% – 59%	F

Borderline Policy: If your final score is within 10 points (1%) of the next highest letter grade, the instructor will review your engagement for possible upward adjustment.

Course Schedule & Major Topics

Weekly Breakdown and Chapter Coverage

• Weeks 1–2: Chapter 1: Foundations, Linear Equations, Inequalities, and Absolute Value

• Weeks 3–4: Chapter 2: Graphs, Lines, Functions, Transformations, and Models

• Weeks 5–6: Chapter 3: Polynomials, Synthetic Division, and Polynomial Equations

• Weeks 6–7: Chapter 4: Exponential and Logarithmic Functions

• Week 8: Midterm Exam (Chapters 1–4)

• Week 9: Chapter 5: Systems of Equations

• Weeks 10–11: Chapter 6: Matrices, Matrix Operations, Determinants, and Systems

• Weeks 12–13: Chapter 7: Analytic Geometry and Conic Sections

• Weeks 13–14: Chapter 8: Sequences, Series, Induction, and Probability

• Week 16: Final Exam (Comprehensive, Chapters 3–8)

Note: Each week includes reading, video lectures, homework, and discussion posts. Quizzes and exams are proctored online with strict technical requirements.

Proctoring & Technical Requirements

Online Exam Proctoring

• All exams are administered online with a dual-camera setup (webcam + mobile device).

• Two proctoring options: Respondus LockDown Browser (automated) or live Zoom proctoring with the Testing Center.

• Identity verification and workspace monitoring are mandatory for all major assessments.

Technical Support

• Canvas, Respondus, and Zoom support are available for troubleshooting.

• Free laptop and camera loan services are offered for students in need.

Course Policies & Student Expectations

Participation and Attendance

• Weekly discussion board participation is required (14 graded posts).

• Active engagement and timely completion of assignments are necessary to remain enrolled.

• Automated drops occur for inactivity or missing key assignments.

Late Work Policy

• Only homework assignments may be submitted late for full credit.

• No late submissions for discussion posts, quizzes, or exams.

Academic Integrity

• Academic dishonesty results in a zero for the assignment and possible disciplinary action.

• Generative AI tools may be used for study and idea generation, but not for completing graded work. Usage must be cited if used during study.

Support Resources

Math Tutoring and Academic Support

• Canvas Discussion Board for peer and instructor help.

• Coastline Math Center: Free, one-on-one tutoring (register for MATH 080N).

• NetTutor: On-demand professional math tutoring.

• Online Library Services: Research, citation, and writing support.

• External resources: Khan Academy, MathTV, BrightStorm, PurpleMath, PatrickJMT, and Wyzant for private tutoring.

Critical Dates & Holidays

• Last day to add: September 7, 2026

• Last day to drop with refund: September 5, 2026

• Last day to drop without "W": September 7, 2026

• Last day to drop with "W": November 14, 2026

• Holidays (no classes): Labor Day (9/7), Veterans Day (11/11), Thanksgiving (11/26–11/29)

Major College Algebra Topics Covered

• Foundations and Functions: Properties of real numbers, algebraic expressions, equations, inequalities, and introduction to functions.

• Linear and Quadratic Functions: Graphing, solving, and modeling with linear and quadratic equations.

• Polynomial and Rational Functions: Operations, graphing, zeros, division algorithms, and theorems.

• Exponential and Logarithmic Functions: Properties, equations, applications, and graphing.

• Analytic Geometry: Conic sections and their properties.

• Systems of Equations and Matrices: Solving systems algebraically and with matrices, determinants.

• Sequences, Induction, and Probability: Arithmetic and geometric sequences, mathematical induction, binomial theorem, and basic probability.

Additional info: For detailed content on each chapter, refer to the course eTextbook and weekly modules as outlined in the schedule above.