Course Overview

Introduction to College Algebra

This course provides an in-depth study of algebraic concepts, focusing on polynomial, rational, radical, exponential, and logarithmic functions, as well as systems of equations and matrices. Additional topics such as sequences, series, probability, and conic sections may be included. The course is designed to meet the Mathematics category requirements of the core curriculum and emphasizes critical thinking, communication, and quantitative skills.

Course Structure and Grading

Assignment Categories and Values

• Labs/Quizzes: 17% (lowest grade dropped)

• Homework: 8% (lowest grade dropped)

• Midterm Exams: 45% (three exams, 15% each, lowest may be replaced by final exam score)

• Final Exam: 30% (comprehensive, required for all students)

Grading Scheme

Student Learning Outcomes

Key Competencies

• Understanding properties of functions, including domain, range, operations, compositions, and inverses.

• Recognizing and applying polynomial, rational, radical, exponential, and logarithmic functions; solving related equations.

• Interpreting and applying graphing techniques.

• Evaluating all roots of higher degree polynomial and rational functions.

• Solving and explaining systems of linear equations using matrices.

Major Topics Covered

List of Topics

• Linear equations and applying models (1.2, 3)

• Complex numbers (1.4)

• Quadratic, rational, and radical equations (1.2,5,6)

• Linear and compound inequalities (1.7)

• Absolute value equations and inequalities (1.6,7)

• Distance formula and circles (2.8)

• Functions and their graphs (2.1, 2)

• Linear functions and slope (2.3, 4)

• Transformations of functions and graphing (2.5)

• Combinations and compositions of functions (2.6)

• Inverse functions (2.7)

• Quadratic functions and graphing (3.1)

• Polynomial functions and graphing (3.2)

• Zeros of polynomial functions (3.3,4)

• Rational functions and graphing (3.5)

• Polynomial and rational inequalities (3.6)

• Direct, inverse, and combined variation (3.7)

• Exponential and logarithmic functions (4.1,2)

• Properties of logarithms; solving exponential and logarithmic equations (4.3,4)

• Applications with log and exponential functions (4.4,5)

• Systems of linear and non-linear equations and matrices (5.1,2,4 and 6.1)

• More on solutions of systems of linear equations (6.2,5)

• Properties of matrices (6.3)

• Introduction to sequences and series (8.1,3)

Course Policies and Expectations

Attendance and Participation

• Regular attendance and participation are required.

• Students are responsible for keeping up with class content and announcements.

• Office hours and tutoring resources are available for additional support.

Exam and Homework Policies

• Three midterm exams and one comprehensive final exam.

• Missed exams require valid documented excuses.

• Homework is completed online via MyMathLab; due dates are strict.

• No late quizzes or homework; lowest scores may be dropped.

Academic Resources and Support

Academic Learning Center

• Free tutoring available for all students.

• Appointments and walk-in hours provided throughout the week.

Disability Support Services

• Accommodations available for students with disabilities.

• Contact Disability Support Services for assistance.

Counseling and Mental Health

• Student Counseling Center offers free and confidential services.

• 24/7 support available via phone and the TELUS Student Support App.

Important Dates and University Policies

Academic Calendar Highlights

• Tuition and fee payment deadlines

• First day of class, holidays, census date, midterm grading period

• Last day to drop courses, final exams, commencement

University Policies

• Email communication must use university accounts.

• Policies for academic integrity, harassment, discrimination, and accommodations for pregnant/parenting students.

• Six-drop rule limits non-punitive course drops to six during undergraduate career.

• Financial aid eligibility tied to class attendance.

Artificial Intelligence Policy

Academic Integrity

• All submitted work must be generated by students themselves.

• Use of AI tools (e.g., ChatGPT) for assignments is prohibited and considered academic dishonesty.

Summary Table: Major College Algebra Topics