College Algebra (MATH-1314) Syllabus and Course Overview

Course Overview

Course Description

This College Algebra course (MATH-1314) provides an in-depth study and application of polynomial, rational, radical, exponential, and logarithmic functions, as well as systems of equations using matrices. Additional topics such as sequences, series, probability, and conic sections may be included. The course is designed for dual credit high school students and follows a hybrid format with both online and in-person instruction.

• Prerequisites: MATH 0314 or MATH 0324 with a grade of C or better, or meeting TSI college-readiness standard for Mathematics.

• Credits: 3 credit hours

• Textbook: College Algebra, 8th Edition, Robert F. Blitzer (Pearson, MyMathLab Access)

Course Structure and Topics

Major Topics Covered

• Equations and Inequalities (Linear, Rational, Quadratic, and Other Types)

• Functions and Their Graphs (Basics, Linear, Transformations, Combinations, Inverse Functions)

• Polynomial and Rational Functions (Quadratic, Higher Degree, Division, Zeros, Graphs)

• Exponential and Logarithmic Functions (Properties, Equations, Growth and Decay)

• Systems of Equations and Matrices (Solutions, Inconsistent/Dependent Systems)

• Sequences and Summation Notation

• Additional Topics: Probability, Conic Sections (as time permits)

Course Calendar (Suggested 16-Week Schedule)

Week	Sections/Topics
1	Syllabus, Introduction, Section 1.2 (Linear Equations and Rational Equations), Section 1.6 (Other Types of Equations)
2	Section 2.1 (Basics of Functions and Their Graphs), Section 2.2 (More on Functions and Their Graphs)
3	Section 2.3 (Linear Functions and Slope), Section 2.5 (Transformations of Functions)
4	Section 2.6 (Combinations of Functions), Test 1
5	Section 3.1 (Quadratic Functions)
6	Section 3.2 (Polynomial Functions and Their Graphs), Section 3.3 (Dividing Polynomials)
7	Section 3.4 (Zeros of Polynomial Functions), Section 3.5 (Rational Functions and Their Graphs)
8	Test 2, Section 2.7 (Inverse Functions)
9	Section 2.7 (Inverse Functions, continued), Section 4.1 (Exponential Functions)
10	Section 4.2 (Logarithmic Functions), Section 4.3 (Properties of Logarithms)
11	Section 4.4 (Exponential and Logarithmic Equations), Section 4.5 (Exponential Growth and Decay)
12	Test 3, Section 5.1 (Systems of Linear Equations in Two Variables)
13	Section 6.1 (Matrix Solutions to Linear Systems), Section 6.2 (Inconsistent and Dependent Systems)
14	Section 8.1 (Sequences and Summation Notation), Test 4
15	Final Exam Review
16	Comprehensive Final Exam

Student Learning Outcomes

• Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses.

• Recognize and apply polynomial, rational, radical, exponential, and logarithmic functions and solve related equations.

• Apply graphing techniques to various types of functions.

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

• Recognize, solve, and apply systems of linear equations using matrices.

Method of Evaluation

Component	Weight
4 Chapter Exams	50%
Final Exam (Comprehensive)	20%
Labs/Homework	20%
Quizzes	10%

Grading Scale

Score Range	Letter Grade
89.5 - 100	A
79.5 - 89.4	B
69.5 - 79.4	C
59.5 - 69.4	D
59.4 & Below	F

Course Policies and Requirements

• Attendance: Required; participation is critical. One or fewer unexcused absences earns a 1% bonus to the semester average.

• Assignment Submission: Late online homework is penalized 20% for incomplete portions; lowest three homework grades are dropped. No make-ups for quizzes or tests; lowest quiz grade is dropped. The final exam replaces the lowest test grade if higher.

• Academic Integrity: All forms of academic dishonesty, including the use of generative AI tools, are strictly prohibited and subject to disciplinary action.

• Calculator Policy: Graphing calculators are required (TI 83/84/86 acceptable; TI 89/nSpire CX and CAS models not allowed without approval).

• Technology: Access to MyMathLab, a computer with internet, and a webcam/microphone for online components is required.

• Accommodations: Students needing accommodations must contact the ACCESS Office and provide an accommodation letter to the instructor.

Support Resources

• Math Lab tutoring available on all campuses (see syllabus for locations and contact information).

• Online resources and alternative formats for course materials are available through Canvas and Anthology Ally.

• Additional support for mental health, financial aid, and academic assistance is provided by Collin College.

Institutional Policies

• All Collin College policies regarding academic integrity, Americans with Disabilities Act, Title IX, and student conduct apply to this course.

• Students must adhere to deadlines for census date, withdrawal, and other institutional requirements.

Summary of Key Algebra Topics (as per course calendar)

• Linear Equations and Rational Equations: Methods for solving equations, applications, and problem-solving strategies.

• Functions and Graphs: Understanding the definition of a function, domain and range, graphing techniques, and transformations.

• Polynomial and Rational Functions: Analyzing quadratic and higher-degree polynomials, finding zeros, and graphing rational functions.

• Exponential and Logarithmic Functions: Properties, solving equations, and real-world applications such as growth and decay.

• Systems of Equations and Matrices: Solving systems using algebraic and matrix methods, including inconsistent and dependent systems.

• Sequences and Summation: Introduction to sequences, series, and summation notation.

Additional info: This syllabus provides a comprehensive overview of the College Algebra course structure, policies, and major topics. For detailed content, students should refer to the textbook and MyMathLab assignments as outlined in the course calendar.