College Algebra Syllabus and Course Overview – Dallas College MATH 1314

Course Overview

Introduction to College Algebra

This syllabus outlines the structure, expectations, and content for College Algebra (MATH 1314) at Dallas College. The course provides an in-depth study of fundamental algebraic concepts, focusing on functions, equations, and mathematical modeling, preparing students for further studies in mathematics and related fields.

Course Description and Learning Outcomes

Course Description

• Study and application of polynomial, rational, radical, exponential, and logarithmic functions.

• Solving equations using matrices and systems of equations.

• Additional topics may include sequences, series, probability, and conic sections.

State-Defined Learning Outcomes

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

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

• Apply graphing techniques and evaluate all roots of higher degree polynomial and rational functions.

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

Additional Instructor-Defined Learning Outcomes

• Use appropriate symbolic notation and vocabulary to communicate, interpret, and explain mathematical concepts.

• Define, represent, and perform operations on real numbers, applying numeric reasoning to investigate and describe quantitative relationships and solve real-world problems.

• Use algebraic reasoning to solve problems involving ratios, rates, percentages, and proportions using multiple representations.

• Manipulate expressions and equations to solve real-world problems.

• Analyze, interpret, and compare data sets using graphs, tables, and technology.

• Construct and use mathematical models in verbal, algebraic, graphical, and tabular form to solve problems and make predictions.

Texas Core Objectives

• Critical Thinking Skills: Creative thinking, innovation, inquiry, analysis, evaluation, and synthesis of information.

• Communication Skills: Effective development, interpretation, and expression of ideas through written, oral, and visual communication.

• Empirical and Quantitative Skills: Manipulation and analysis of numerical data or observable facts resulting in informed conclusions.

• Teamwork: Ability to consider different points of view and work effectively with others.

• Personal Responsibility: Connecting choices, actions, and consequences to ethical decision-making.

• Social Responsibility: Intercultural competence, civic responsibility, and engagement in communities.

Course Schedule and Topics

Weekly Topics Overview

Week	Topics
1	Introduction to Graphing, Functions and Graphs
2	Increasing, Decreasing, and Piecewise Functions; Algebra of Functions; Composition of Functions
3	Symmetry; Transformations
4	Complex Numbers; Quadratic Equations, Functions, and Zeros
5	Analyzing Graphs of Quadratic Functions; Rational and Radical Equations
6	Absolute Value Equations and Inequalities; Polynomial Functions
7	Graphing Polynomial Functions; Polynomial Division; Remainder and Factor Theorems
8	Theorems about Zeros of Polynomial Functions; Rational Functions
9	Polynomial and Rational Inequalities; Inverse Functions
10	Exponential Functions and Graphs; Logarithmic Functions and Graphs
11	Properties of Logarithmic Functions; Solving Exponential and Logarithmic Equations
12	Exponential Growth and Models; Systems of Equations; Introduction to Matrices
13	Sequences and Series
14	Binomial Theorem
15	Final Exam Review
16	Final Exam

Grading Policy

Assignment Type	Percentage of Grade
Chapter Exams	60%
Homework	10%
Final Exam	30%

Percentage	Letter Grade
90-100%	A
80-89%	B
70-79%	C
60-69%	D
0-59%	F

Course Policies and Support

• Attendance: No attendance grade, but missing class may result in missing important information or quizzes.

• Late Work: No makeup exams; late exams incur a 10-point deduction per day (up to 4 days). The final exam can replace the lowest exam grade if higher.

• Proctoring: Controlled assessments are required for course integrity. Exams may require webcam proctoring or in-person testing.

• Support: Free tutoring, success coaching, and student resources are available. Technical support is provided for eCampus and other college technology.

Required and Optional Materials

• Required: MyLab Math with Pearson eText Access Code for College Algebra (Beecher, 5th Edition)

• Optional: Calculator (graphing calculators such as TI-83 or TI-84 Plus are recommended; CAS software is not allowed)

• Optional: Computer camera for at-home exams

Key Topics Covered in College Algebra

• Graphs, Functions, and Models

• More on Functions

• Quadratic Functions and Equations; Inequalities

• Polynomial Functions and Rational Functions

• Exponential Functions and Logarithmic Functions

• Systems of Equations and Matrices

• Conic Sections

• Sequences, Series, and Combinatorics

Additional info: This syllabus provides a comprehensive overview of the course structure, expectations, and resources for success in College Algebra. Students are encouraged to utilize all available support services and adhere to course policies for optimal learning outcomes.