Course Overview

Introduction to Precalculus Algebra

This course, MTH 112 Precalculus Algebra, is designed as a gateway mathematics course for college students. It covers fundamental concepts in algebra, focusing on functions, equations, inequalities, and their applications. The course prepares students for further study in mathematics, including calculus, and is essential for students pursuing STEM or business fields.

Course Structure and Materials

Required and Optional Resources

• Required Digital Access: MyLab and Mastering (MLM) platform, accessed via Canvas.

• Optional Textbook: Algebra and Trigonometry, 7th edition, by Blitzer (e-book included with MLM access).

• Recommended Calculator: TI-84 Graphing Calculator.

• Required Equipment: Computer (PC or Mac) with internet access; LockDown Browser for assessments.

Course Learning Outcomes

Key Objectives

• CLO 1: Demonstrate knowledge of elementary properties of functions.

• CLO 2: Interpret polynomial and rational functions analytically and graphically.

• CLO 3: Interpret exponential and logarithmic functions analytically and graphically.

• CLO 4: Solve systems of linear and non-linear equations and inequalities.

Unit Objectives

Functions and Their Properties

• Determine if a relation is a function analytically and graphically.

• Evaluate functions for given domain elements.

• Combine and compose functions using algebraic methods.

• Find and simplify the difference quotient:

• Graph piecewise functions and find inverses of one-to-one functions.

Polynomial and Rational Functions

• Perform operations with complex numbers.

• Solve quadratic equations and analyze their characteristics.

• Graph quadratic, polynomial, and rational functions.

• Divide polynomials using the Remainder and Factor Theorems.

• Find zeros of polynomial functions using the Fundamental Theorem of Algebra.

Exponential and Logarithmic Functions

• Evaluate exponential and logarithmic functions.

• Convert between exponential and logarithmic forms:

• Expand and condense logarithmic expressions using properties:

• Graph and analyze exponential and logarithmic functions.

• Solve exponential and logarithmic equations.

• Apply exponential growth and decay models:

Systems of Equations and Inequalities

• Solve systems of linear equations in three variables.

• Solve systems of nonlinear equations in two variables.

• Graph systems of linear and nonlinear inequalities.

Course Outline of Topics

Assessment and Grading

Evaluation Methods

• Online Homework: 15%

• Online Quizzes: 10%

• Tests: 50% (lowest test grade dropped)

• Final Exam: 25%

• Grading Scale: A = 90–100%, B = 80–89%, C = 70–79%, D = 60–69%, F = below 60%

Course Policies and Support

Attendance and Withdrawal

• Regular attendance is required; excessive absences may impact course success.

• Students are responsible for all material and assignments missed due to absence.

• Withdrawal must be completed by the published deadline for a grade of "W".

Technology and Academic Integrity

• Computer problems are not an excuse for missed assignments; plan for emergencies.

• Academic dishonesty (cheating, plagiarism) may result in disciplinary action.

Accommodations for Students with Disabilities

• Contact the campus ADA Coordinator for support and accommodations.

• Documentation is required and must be updated each semester.

Safe Environment and Remote Instruction

Health and Safety

• Stay home if ill; contact instructor for makeup work with a doctor's excuse.

• Practice good hygiene and avoid sharing personal items.

Remote Instruction Policy

• In case of transition to remote learning, an addendum will be provided with revised instructional plans.