College Algebra: Course Syllabus and Study Guide

Course Overview

This syllabus outlines the structure, requirements, and instructional units for Math 042: STEM Track I at Harford Community College. The course covers foundational topics in College Algebra, including real numbers, equations, polynomials, rational expressions, and functions. The goal is to develop mathematical reasoning and problem-solving skills essential for STEM fields.

Required Materials

• Textbook: MyMathLab code required; textbook may be included with code or purchased separately.

• Calculator: Graphing calculator required (TI-83, TI-84, or similar recommended).

Course Topics and Instructional Units

The course is divided into modules that align with standard College Algebra chapters. Each module focuses on key concepts and skills.

Module 1: Properties of Real Numbers

• Definition: Real numbers include all rational and irrational numbers.

• Key Properties: Commutative, associative, distributive laws.

• Example: $2 + 3 = 3 + 2$ (commutative property of addition)

Module 2: Operations with Real Numbers

• Operations: Addition, subtraction, multiplication, division.

• Order of Operations: PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

• Example: $3 + 4 imes 2 = 3 + 8 = 11$

Module 3: Algebraic Expressions and Equations

• Algebraic Expression: Combination of numbers, variables, and operations.

• Equation: Statement that two expressions are equal.

• Solving Linear Equations: Isolate the variable using inverse operations.

• Example: Solve $2x + 3 = 7$; $2x = 4$; $x = 2$

Module 4: Polynomials and Factoring

• Polynomial: Expression consisting of variables and coefficients, involving only addition, subtraction, and multiplication.

• Factoring: Writing a polynomial as a product of its factors.

• Example: $x^2 + 5x + 6 = (x + 2)(x + 3)$

Module 5: Rational Expressions

• Rational Expression: Ratio of two polynomials.

• Simplifying: Factor numerator and denominator, then reduce common factors.

• Example: $\frac{x^2 - 9}{x^2 - 3x} = \frac{(x + 3)(x - 3)}{x(x - 3)} = \frac{x + 3}{x}$

Module 6: Functions and Graphs

• Function: A relation where each input has exactly one output.

• Graphing: Plotting points $(x, f(x))$ on the coordinate plane.

• Example: $f(x) = x^2$; graph is a parabola opening upward.

Module 7: Quadratic Equations and Applications

• Quadratic Equation: $ax^2 + bx + c = 0$

• Solution Methods: Factoring, completing the square, quadratic formula.

• Quadratic Formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

• Example: Solve $x^2 - 5x + 6 = 0$; $(x - 2)(x - 3) = 0$; $x = 2, 3$

Assessment Methods

• Homework/Review Modules: Completed online via MyMathLab.

• Quizzes: Timed, online quizzes after each module.

• Examinations: Midterm and final exams, proctored online.

• Grading: Based on exams, quizzes, homework, and participation.

Grading Standards

Letter Grade	Points Range
A	900-1000
B	800-899
C	700-799
D	600-699
F	Below 600

Course Policies

• Academic Honesty: Cheating or plagiarism results in a zero for the assignment and possible disciplinary action.

• Attendance: Participation in online modules and completion of assignments required.

• Support Services: Tutoring, library, and technology support available.

Outline of Activities and Major Due Dates

Week	Topics	Quiz/Exam
1	Course Overview, Syllabus, MyMathLab Orientation	Quiz
2	Real Numbers, Properties, Operations	Quiz
3	Algebraic Expressions, Equations, Polynomials	Quiz
4	Factoring Polynomials, Rational Expressions	Quiz
5	Midterm Exam	Exam
6	Functions, Graphs, Quadratic Equations	Quiz
7	Final Exam	Exam

Additional Info

• Students are expected to use MyMathLab for assignments and quizzes.

• Calculator use is permitted except during some quizzes and exams.

• Support services are available for tutoring and technology assistance.