Course Overview: Precalculus Algebra (MATH 1710)

This course provides a comprehensive foundation in algebraic concepts and functions, preparing students for calculus and higher-level mathematics. The curriculum emphasizes algebraic manipulation, function analysis, and problem-solving skills necessary for success in subsequent mathematics courses.

Course Prerequisites

• A minimum ACT Math sub-score of 18 (or its equivalent) or special permission from the department.

Texts and Resources

• Textbook: Precalculus, 7th Edition by Lial, Hornsby, and Schneider

• Online Resource: MyLab (Course ID: ioki40146)

• Calculator: A scientific calculator is sufficient. No graphing or programmable calculator required.

Course Objectives and Student Learning Outcomes

Upon completion, students will be able to:

• Utilize algebraic, geometric, and reading comprehension skills in the study of algebra.

• Use mathematics to solve problems.

• Create or analyze graphs and other mathematical representations of relationships.

• Demonstrate understanding of mathematical concepts.

Major Teaching Methods

• On-ground instruction

• iLearn (online platform)

• MyLab (online assignments and resources)

Topics to be Covered

The following topics are covered in the course, grouped by major themes:

Expressions

• Arithmetic Expressions: Operations with numbers and order of operations.

• Polynomial Expressions: Sums, differences, products, and factoring of polynomials.

• Rational Expressions: Expressions involving ratios of polynomials.

• Radical Expressions: Expressions containing roots.

• Rational Exponents and Radicals: Exponents as fractions and their equivalence to radicals.

Equations and Inequalities

• Linear Equations: Equations of the form .

• Solving Factored Equations: Using the zero product property.

• Quadratic Equations: Equations of the form ; solved by factoring, completing the square, or quadratic formula.

• Rational and Radical Equations: Equations involving rational or radical expressions.

• Exponential and Logarithmic Equations: Equations involving exponents and logarithms.

• Inequalities: Linear and quadratic inequalities, solution sets, and interval notation.

Relations

• Coordinate Geometry: The study of geometric figures using a coordinate plane.

• Two Variable Equations: Equations involving two variables, typically and .

Functions

• Introduction to Functions: Definition, notation, and evaluation of functions.

• Linear Functions: Functions of the form .

• Quadratic Functions: Functions of the form .

• Absolute Value Functions: Functions involving .

• Polynomial Functions: Functions defined by polynomials of degree .

• Rational Functions: Functions defined by the ratio of two polynomials.

• Exponential Functions: Functions of the form .

• Logarithmic Functions: Functions of the form .

Key Definitions and Examples

• Function: A relation in which each input has exactly one output. Example:

• Quadratic Formula: Used to solve :

• Exponential Function: , where and .

• Logarithmic Function: , the inverse of the exponential function.

Assessment and Grading

• Attendance/Worksheets: 10%

• Homework: 10%

• Test 1: 20%

• Test 2: 20%

• Test 3: 20%

• Final Exam: 20%

Grading Scale

Academic Policies and Resources

• Academic Integrity: Students must adhere to the university's academic honesty policy.

• Attendance: Required for all lectures and worksheet activities.

• Artificial Intelligence Policy: AI is not permitted for use on worksheet activities, tests, or the final exam.

• Disability Accommodation: Students needing accommodations should contact the Accessible Education Center (AEC).

• Technical Help: Support is available through the university's IT Helpdesk and Learning Center.

• Counseling and Health Services: Resources are available for student well-being and mental health.

• Emergency Preparedness: Students are responsible for following university safety protocols.

Important Dates (Fall 2025)

• First Day of Classes: August 21

• Labor Day (No Class): September 1

• Last Day to Add/Drop a Class without a Grade: September 3

• Fall Break: October 16-17

• Last Day to Withdraw with a 'W': October 24

• Veterans' Day: November 11

• Thanksgiving Holiday: November 26-28

• Last Day of Classes: December 5

• Final Exam Week: December 8-11

Summary Table: Course Topics