College Algebra Syllabus and Study Guide

Course Overview

Course Description

College Algebra (MATH 1314) is a foundational mathematics course designed for students who need college-level algebra but do not require Precalculus or Calculus. The course covers polynomial, rational, exponential, and logarithmic functions, their properties, and applications. It emphasizes symbolic, graphical, and numerical representations and problem-solving skills.

Course Rationale

This course aims to teach students the functional approach to mathematical relationships, preparing them for further study or application in various fields. It does not meet the prerequisite for Precalculus (MATH 2412).

Course Structure and Policies

Instructional Methodology

• Classroom format is primarily lecture/discussion.

• Any changes to the instructional format will be communicated in advance.

Prerequisites

• Completion of MATD 0414, MATD 0424, MATD 0444, NCBM 0214, NCBM 0224, or NCBM 0244 with a grade of C or higher.

• TSI Complete in Math or equivalent placement.

• Some courses (NCBM 0185, NCBM 0142, MATD 0342, MATD 0485) are not eligible for College Algebra.

Required Materials

• Textbook: College Algebra with Modeling & Visualization, 6th Edition by Rockswold. Pearson Publishing.

• MyLab software: Required for online homework.

• Calculator: Students need a scientific calculator. Non-graphing calculators are recommended; graphing calculators may be permitted on some exams but not all.

• Other Technology: Access to a webcam and microphone may be required for online components.

Course Content and Schedule

Major Topics

• Functions and their representations

• Linear, quadratic, polynomial, rational, exponential, and logarithmic functions

• Equations and inequalities

• Systems of equations and matrices

• Applications of functions

Weekly Schedule Overview

Week	Topics	Exam
1-2	Functions, Rates of Change, Linear Equations
3-4	Linear Inequalities, Modeling, Polynomials	Exam 1
5-7	Quadratic Functions, Complex Numbers, Nonlinear Functions
8-9	Polynomial Functions, Rational Functions	Exam 2
10-12	Exponential and Logarithmic Functions
13-14	Systems of Equations, Matrices	Exam 3
15-16	Final Review, Final Exam	Exam 4

Common Course Objectives

Functions

• Use and interpret function notation.

• Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.

• Find symbolic representations of the sum, difference, product, quotient, and composition of two functions.

• Evaluate the sum, difference, product, quotient, and composition of two functions at a given value.

• Find the inverse of a function represented symbolically, graphically, or numerically.

• Interpret graphs of functions.

Graphing Functions

• Sketch graphs of lines, $x^2$, and $\log x$.

• Identify and sketch transformations of graphs such as $x^2$, $x^3$, $\sqrt{x}$, $1/x$, $1/x^2$, $|x|$.

Equations and Applications

• Solve polynomial, rational, exponential, and logarithmic equations symbolically.

• Use the Fundamental Theorem of Algebra.

• Find the vertex of a parabola in standard form using $h = -b/(2a)$.

• Convert between exponential and logarithmic forms.

• Evaluate exponential and logarithmic functions using calculators.

• Use properties of logarithms to expand or condense expressions.

• Solve systems of linear equations using Gaussian elimination and matrices.

• Evaluate the sum, difference, and scalar multiplication of matrices.

Applications

• Recognize and use applications of linear, quadratic, rational, exponential, and logarithmic functions.

• Apply systems of linear equations using matrices.

Student Learning Outcomes

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

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

• Apply graphical, symbolic, and numeric techniques.

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

• Recognize and apply systems of linear equations using matrices.

Grading and Assessment

Grade Components

Component	Weight
Tests 1-3	60%
Test 4 (Final)	25%
MyLab Homework	7.5%
Handwritten Homework	7.5%

Grading Scale

Grade	Score Range
A	90 – 100
B	80 – 89
C	70 – 79
D	60 – 69
F	0 – 59

Homework Policy

• MyLab and handwritten homework are assigned weekly and due before class.

• Lowest written homework score is dropped for the final grade.

• Late homework may be accepted only under special circumstances.

• Missed exams require prompt communication and may be rescheduled at instructor discretion.

General Education Competencies

• Critical Thinking: Analysis, synthesis, evaluation, and application of information.

• Quantitative and Empirical Reasoning: Application of mathematical, logical, and scientific principles.

• Technology Skills: Use of appropriate technology for problem solving and information management.

Important Dates

• Last day for 70% refund: Monday, September 15, 2025

• Last day to withdraw: Thursday, November 20, 2025

• Holidays: Veterans Day (Nov 11), Thanksgiving (Nov 27)

Additional info:

• Students are encouraged to use tutoring resources and office hours for support.

• Attendance and participation are expected for success in the course.

• Use of online calculators and technology is permitted for homework, but restrictions may apply for exams.