MAC 1105 College Algebra Syllabus and Course Structure Study Guide

Course Overview

This study guide summarizes the structure, expectations, and core content areas of MAC 1105: College Algebra, as outlined in the course syllabus. The course is designed to develop students' problem-solving skills, critical thinking, computational proficiency, and contextual fluency through the study of equations, functions, and their graphs. Emphasis is placed on quadratic, exponential, and logarithmic functions, as well as systems of equations and inequalities.

Course Structure and Key Policies

Course Delivery and Materials

• Course Format: Online, with all content, assignments, and assessments accessed via Canvas and MyMathLab.

• Textbook: College Algebra Essentials by Blitzer, 6th edition (Pearson MyMathLab access code required).

• Supplemental Resources: Khan Academy and MathIsPower4U videos.

• Calculator Policy: Only non-graphing calculators without algebraic solvers are permitted (e.g., TI-30Xa, TI-30XIIs, Casio fx-260, Casio fx-300MS Plus).

Assignments and Grading

• Homework & Discussions (15%): Unlimited attempts, must be completed by due dates for full credit. Video Check assignments are prerequisites for Section Homework.

• Quizzes (10%): Three attempts per quiz, highest score recorded. Timed and graded immediately.

• Proctored Chapter Tests (15%): Three attempts per test, open notes, timed, proctored via Honorlock.

• Proctored Exams (60%): Four major exams, one attempt each, no notes allowed, proctored via Honorlock.

Category	% of Grade	Comments
Homework/Discussions	15%	Unlimited attempts, approx. 0.2% each
Quizzes	10%	3 attempts, timed, approx. 0.6% each
Proctored Chapter Tests	15%	3 attempts, timed, open notes, 5 tests, 3% each
Proctored Exams	60%	1 attempt, timed, NO notes, 4 exams, 15% each

• Grading Scale:

  • 90–100%: A

  • 80–89%: B

  • 70–79%: C

  • 60–69%: D

  • Below 60%: F

• Course Percentage Formula:

$\text{Course percentage} = (\text{homework average})(0.15) + (\text{quiz average})(0.10) + (\text{chapter tests average})(0.15) + (\text{proctored exam #1})(0.15) + (\text{proctored exam #2})(0.15) + (\text{proctored exam #3})(0.15) + (\text{proctored exam #4})(0.15)$

Course Schedule Overview

The course is divided into modules covering the following chapters and sections:

• Ch. 1: Equations and Inequalities (Sections 1.5, 1.6, 1.7)

• Ch. 2: Functions and Graphs (Sections 2.1–2.7)

• Ch. 3: Polynomial and Rational Functions (Sections 3.1, 3.2, 3.5)

• Ch. 4: Exponential and Logarithmic Functions (Sections 4.1–4.5)

• Ch. 5: Systems of Equations and Inequalities (Sections 5.1, 5.2, 5.5)

Each module includes homework, quizzes, discussions, and chapter tests, culminating in proctored exams.

Core Content Areas and Learning Outcomes

1. Functions and Graphs

• Relations and Functions: Define and identify relations and functions.

• Domain and Range: Find the domain and range of relations and functions.

• Function Notation: Use and interpret function notation.

• Difference Quotient: Evaluate and simplify the difference quotient of a function.

• Linear Functions: Identify and solve applied problems involving linear functions.

• Operations on Functions: Perform operations, including composition.

• Graph Characteristics: Analyze symmetry, extrema, and intervals of increase/decrease/constancy.

• Graphing: Graph basic functions and apply graphical transformations.

• Inverse Functions: Find inverses algebraically and graphically.

• Absolute Value Equations/Inequalities: Solve equations and inequalities involving absolute value.

2. Polynomial Functions

• Quadratic Functions: Graph and solve optimization problems involving quadratics.

• Polynomial Graphs: Use end behavior and multiplicity of zeros to graph polynomials.

3. Rational Functions

• Graphing Rational Functions: Identify intercepts, vertical/horizontal asymptotes, and end behavior.

• Applications: Solve application problems involving rational functions.

4. Exponential and Logarithmic Functions

• Exponential/Logarithmic Forms: Convert between exponential and logarithmic forms.

• Evaluation: Evaluate logarithmic and exponential expressions.

• Properties of Logarithms: Apply properties, including change of base.

• Graphing: Graph exponential and logarithmic functions.

• Equations: Solve exponential and logarithmic equations.

• Applications: Solve problems involving exponential growth and decay.

5. Systems of Equations and Inequalities

• Linear Systems: Solve systems of linear equations in three variables by elimination or substitution.

• Non-linear Inequalities: Solve systems of non-linear inequalities graphically.

• Applications: Solve application problems using systems of equations.

Student Success and Support

• Engagement: Participate in structured online interactions and discussions.

• Study Strategies: Develop and apply effective study habits and time management.

• Campus Resources: Utilize tutoring centers, online tutoring, and instructor office hours.

• Technical Support: Access support for Canvas, MyMathLab, and Honorlock as needed.

Academic Integrity and Communication

• Academic Honesty: Cheating or academic dishonesty results in an "F" and possible disciplinary action.

• Netiquette: Maintain respectful, clear, and professional communication in all online interactions.

• Discussion Board: Follow guidelines for thoughtful, critical, and respectful participation.

Accessibility and Accommodations

• ADA Compliance: Canvas and MyMathLab are ADA compliant; additional accommodations available upon request.

• Requesting Accommodations: Contact the instructor and the Office of Services for Students with Disabilities as early as possible.

Example: Course Content Application

• Example (Solving a Quadratic Equation):

Solve $x^2 - 5x + 6 = 0$.

Solution:

• Factor: $x^2 - 5x + 6 = (x - 2)(x - 3) = 0$

• Set each factor to zero: $x - 2 = 0$ or $x - 3 = 0$

• Solutions: $x = 2$ or $x = 3$

Additional info: This syllabus provides a comprehensive overview of course policies, structure, and learning outcomes, but does not include detailed mathematical content or worked examples for each topic. Students are encouraged to consult the textbook and MyMathLab for in-depth explanations and practice problems.