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College Algebra (Precalculus) Syllabus and Study Guide

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Study Guide - Smart Notes

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Course Overview

Introduction to College Algebra

College Algebra (MATH 102) is a foundational mathematics course designed to prepare students for further study in mathematics and related fields. The course covers essential algebraic concepts, including equations, inequalities, functions, and their applications, with an emphasis on analytical thinking and problem-solving.

  • Course Title: College Algebra

  • Credit Hours: 3

  • Location: Classroom Building (CRB) 228

  • Class Time: Tuesday, Thursday 2:20-3:45 PM

Instructor Information

Biography & Qualifications

The instructor holds advanced degrees in mathematics and has extensive teaching experience at various universities. Communication with the professor is encouraged via email and office hours for academic support.

  • Educational Background: BS in Mathematics, MS & PhD in Mathematics

  • Teaching Experience: Over 16 years at multiple institutions

Course Description

Scope of College Algebra

This course covers linear equations, systems of equations, inequalities, polynomials, rational expressions, quadratic functions, exponential and logarithmic functions, and conic sections. Applications in real-world settings are emphasized.

  • Linear Equations: Equations of the form

  • Systems of Equations: Solving multiple equations simultaneously

  • Inequalities: Expressions involving , , , etc.

  • Polynomials: Algebraic expressions with multiple terms

  • Quadratic Functions: Functions of the form

  • Exponential and Logarithmic Functions: ,

  • Conic Sections: Circles, ellipses, parabolas, and hyperbolas

Program Outcomes

Goals of Mathematical Study

The mathematics program aims to graduate students who demonstrate critical thinking, problem-solving, and an understanding of mathematical concepts in real-life contexts. Students should be able to:

  • Analyze and evaluate mathematical problems

  • Communicate mathematical ideas effectively

  • Apply mathematical reasoning in various fields

Course Learning Outcomes

Specific Skills and Knowledge

Upon completion of College Algebra, students should be able to:

  • CLO 1: Understand the concept of an unknown and use symbolic forms (, , etc.)

  • CLO 2: Understand and solve equations and inequalities, using symbolic forms

  • CLO 3: Understand the concept of a function and its graph

  • CLO 4: Recognize and work with principal functions (polynomials, rational, exponential, logarithmic)

  • CLO 5: Recognize and solve equations and systems of equations, both linear and nonlinear

Assignments and Assessment

Grading Components

Student performance is evaluated through homework, quizzes, exams, and participation. Each assignment is mapped to specific learning outcomes.

Assignments

CLO1

CLO2

CLO3

CLO4

CLO5

CLO6

CLO7

Homework 1

X

X

Homework 2

X

X

Exam 1

X

X

X

Homework 3

X

X

X

Homework 4

X

X

X

Exam 2

X

X

X

X

Homework 5

X

X

X

X

Homework 6

X

X

X

X

Homework 7

X

X

X

X

X

Homework 8

X

X

X

X

X

Final Exam

X

X

X

X

X

X

X

Attendance Policy

Importance of Class Participation

Regular attendance and participation are essential for success in College Algebra. Absences may affect grades according to the following table:

Class Meetings/Week

Total Meetings

Total Absences

Grade Consequence

2

45

6

Final grade reduced by 1 letter grade

2

45

7

Final grade reduced by 2 letter grades

2

45

8

Final grade reduced by 3 letter grades

2

45

9

Final grade reduced by 4 letter grades

2

45

10+

Final grade reduced by 5 letter grades

Assignment Policies

Late Assignment Penalties

  • Homework and quizzes remain open after the due date, but a 10% deduction is applied for each calendar day late.

Class Participation

  • Measured through Canvas activities, discussion boards, and completion of online assessments.

Required Work Hours

  • For a 3-credit course over 15 weeks, students should expect to spend at least 8-9 hours per week on coursework.

Writing and Academic Integrity

  • All papers must follow APA style format.

  • Plagiarism is monitored using Turnitin.

Required and Supplemental Resources

Textbooks and Materials

  • Required: Pearson MyLabMath access and associated textbook

  • Recommended: Scientific calculator (e.g., TI-30X, Casio fx-300ES), graphing calculator

Course Schedule (Sample)

Weekly Topics

The following is a sample schedule of topics covered in College Algebra:

  • Week 1: Introduction & Section 1.1

  • Week 2: Sections 5.8, 8.7

  • Week 3: Section 2.3

  • Week 4: Sections 14.6, 1.2

  • Week 5: Sections 13.6, 1.4

  • Week 8: Sections 3.3, 8.3, 4.4

  • Week 10: Sections 5.2, 6.06

  • Week 12: Sections 5.5, 6.6.1

  • Week 13: Sections 6.45, 6.65, 6.67, 6.68

  • Week 14: Review and Final Exam

Additional info: Section numbers may refer to chapters in the assigned textbook, covering topics such as functions, equations, and applications.

Key Mathematical Concepts

Definitions and Examples

  • Equation: A statement that two expressions are equal. Example:

  • Inequality: A statement that compares two expressions using , , , etc. Example:

  • Function: A relation that assigns each input exactly one output. Example:

  • Polynomial: An expression consisting of variables and coefficients. Example:

  • Exponential Function: , where

  • Logarithmic Function: , where and

  • System of Equations: A set of equations with multiple variables. Example:

Study Tips

How to Succeed in College Algebra

  • Attend all classes and participate actively

  • Complete all homework and practice problems on time

  • Review lecture notes and textbook regularly

  • Seek help from the instructor or tutoring services when needed

  • Use a scientific or graphing calculator for complex computations

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