Pre-Calculus Algebra (MAT-171) Syllabus and Course Structure Overview

Course Overview

This syllabus outlines the structure, expectations, and content for a college-level Pre-Calculus Algebra course. The course is designed to prepare students for calculus by developing a strong foundation in algebraic concepts, equations, functions, and their applications.

Course Description

• Emphasis: Solving equations and inequalities, analyzing functions, and interpreting mathematical models.

• Skills Developed: Symbolic, graphical, numerical, and verbal representations of mathematical concepts.

• Technology: Incorporates solving problems with and without technology.

Prerequisites and Corequisites

• Prerequisite: MAT 043

• Corequisite: MAT 043

Course Materials

• Required: My Math Lab Access Code, graphing calculator (TI-83 or TI-84 recommended), notebook, and textbook "Algebra and Trigonometry Enhanced with Graphing Utilities" (Sullivan & Sullivan).

• Optional: Additional resources as recommended by the instructor.

Major Topics and Weekly Structure

The course is organized into chapters that align with standard Precalculus topics. Below is a summary of the main topics and their subtopics as outlined in the syllabus:

Chapter	Main Topics	Key Subtopics
1. Graphs, Equations, and Inequalities	Graphing utilities, solving equations, quadratic equations, inequalities	Graphing, solving linear/quadratic equations, applications
2. Graphs	Distance and midpoint formulas, symmetry, graphing key equations	Distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Midpoint formula: $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$
3. Functions and Their Graphs	Definition and properties of functions, transformations, building functions	Domain, range, function notation, transformations
4. Linear and Quadratic Functions	Modeling with linear and quadratic functions, applications	Linear regression, quadratic models, applications
5. Polynomial and Rational Functions	Polynomial functions, rational functions, inequalities	Zeros, end behavior, graphing, rational inequalities
6. Exponential and Logarithmic Functions	Exponential and logarithmic equations, applications	Properties of exponents/logarithms, growth and decay models
12. Systems of Equations and Inequalities	Solving systems using substitution, matrices	Matrix operations, applications

Student Learning Outcomes

• Use analytical, graphical, and numerical representations to solve equations and inequalities involving absolute value, radical, rational, exponential, and logarithmic expressions.

• Interpret and analyze functions and their graphs, including transformations and combinations.

• Apply mathematical models to solve real-world problems involving equations, inequalities, and functions.

• Communicate mathematical reasoning clearly in written and oral forms.

Grading and Evaluation Methods

• Homework: 20% (via MyMathLab)

• Tests: 40% (Chapters 1, 2, 3, 4, 5, 6, 12)

• Media Quiz: 10%

• Discussion Board: 10%

• Final Exam: 20%

Grading Scale:

• 90–100 = A

• 80–89 = B

• 70–79 = C

• 60–69 = D

• 59 & below = F

Attendance and Academic Integrity

• Active participation in online activities is required each week.

• Academic dishonesty (cheating, plagiarism, unauthorized collaboration) is strictly prohibited and subject to disciplinary action.

Instructor Expectations

• Meet all deadlines and submit assignments on time.

• Communicate promptly regarding questions or clarifications.

• Participate actively in discussions and group work.

• Seek help when needed using college resources.

Key Formulas and Concepts (as referenced in syllabus topics)

• Distance Formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

• Midpoint Formula: $M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$

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

• Exponential Growth/Decay: $y = y_0 e^{kt}$

• Logarithm Definition: $y = \log_b x \iff b^y = x$

Course Policies and Support

• Accommodations are available for students with disabilities.

• Contact information for instructor and support services is provided in the syllabus.

Additional info: This summary is based on the provided syllabus and includes expanded academic context for clarity and completeness. For detailed assignment instructions and due dates, refer to the official course materials.