MAT1023
College Algebra with Applications
MAT 1023 College Algebra with Applications. (30) 3 Credit Hours. (TCCN = MATH 1314)
Prerequisite: Satisfactory performance on a placement examination. Topics include algebraic expressions; equations; inequalities over the real numbers; relations, functions and graphs; polynomial and rational functions; systems of linear equations and inequalities; complex numbers; and matrices and determinants. A wide range of applications will be included in this course. Students majoring in areas that require MAT 1214 Calculus I are encouraged to take MAT 1073 instead of MAT 1023. (Formerly MTC 1023. Credit can be earned for only one of the following: MAT 1023, MTC 1023, MAT 1063, MTC 1073, or Mat 1073. NOTE: For the purpose of the ThreeAttempt Rule, these courses are considered to be equivalent and additional fees may be charged for the third or subsequent attempt to take any of these courses in any combination.) This course is designed for majors outside sciences and engineering. May apply toward the Core Curriculum requirement in Mathematics. Generally offered: Fall, Spring, Summer. Course Fees: LRC1 $12; LRS1 $45; STSI $21.
Date  Section  Topic  Prerequisite  Student Learning Outcome 

Week 1  P.1  Algebraic Expressions  Review concepts from high school algebra and/or developmental math course in Chapter P  Evaluate and simplify algebraic expressions 
Week 1  P.2  Exponential Properties and Scientific Notation  Review basic properties of exponents and rational exponents and the connection between radical notation and rational exponents  Use the rules for exponents to simplify exponential expressions 
Week 1  P.3  Radical & Rational Exponent  Review the connection between radical notation and rational exponents 

Week 2  P.4  Polynomials  Review concepts from high school algebra and/or developmental math course in Chapter P  Understand the vocabulary and operations of polynomial expressions 
Week 2  P.5  Factoring Polynomials  Review techniques for factoring  Use a general strategy for factoring polynomials 
Week 2  P.6  Rational Expression  Review finding LCD and what operations need a LCD. Simplify fractions  Specify numbers that must be excluded from the domain and use operations of addition, subtraction, multiplication, and division of rational expressions 
Week 3  1.1  Graphs of Equations  Review definition and computation of slope  Graph equations and determine intercepts 
Week 3  1.2  Linear and Rational Equations  Differentiate between algebraic expression and algebraic equation  Solve linear equations including those involving fractions and variables in the denominator 
Week 3  1.3  Models and Applications  Discuss strategies for solving word problems  Use linear equations to solve application problems and solve for a variable 
Week 3  1.4  Complex Numbers  Intro. to imaginary and complex numbers  Perform operations with complex numbers and Square roots of negative numbers 
Week 4  Review and Test I: Chapter P and 1.11.4  
Week 5  1.5  Quadratic Equations  Recognize quadratic equations  Solve quadratic equations by factoring, square root property, completing the square, and the quadratic formula 
Week 5  1.6  Other Types of Equations  Recognize polynomial, radical, rational exponent, and absolute value equations  Solve polynomial, radical, and rational exponent, and absolute value equations 
Week 6  1.7  Linear and Absolute Value Inequalities  Basic knowledge of Inequality symbols and interval notation 

Week 6  2.1  Functions  Knowledge of Cartesian coordinate system, and representations of functions  Identify functions and find domain, range, and intercepts of functions 
Week 6  2.1  Graphs  Knowledge of Cartesian coordinate system, and representations of functions 

Week 6  2.2  More on Functions and Their Graphs  Be familiar with terms such as increasing, decreasing, minimum, and maximum in regard to a graph (ex. Average fuel efficiency over time) 

Week 7  2.3  Linear Functions and Slope  Review concept of slope from perspective of students’ previous knowledge 

Week 7  2.4  More on Slope  Have students explain terms: parallel and perpendicular lines 

Week 7  2.5  Single Transformations of Functions  Review graphs of common functions 

Week 8  2.6  Composition of Functions 


Week 8  2.7  Inverse Functions 


Week 9  Review and Test II: Sec. 1.51.6 and Chapter 2  
Week 10  3.1  Quadratic Functions  Able to factor quadratic equations, and graph basic parabolas and transformations  Recognize characteristics of parabolas including minimum or maximum values and applications 
Week 10  3.2  Graphs of Polynomials  Able to factor polynomial equations 

Week 10  3.3  Dividing Polynomials  Know steps in long division, and factor polynomials  Use long division and synthetic division to divide polynomials 
Week 10  3.3  Remainder and Factor Theorem  Know steps in long division, and factor polynomials 

Week 11  5.1  Systems of Equations in Two Variables  Combine equations/like terms 

Week 11  5.5  Systems of Inequalities (optionalif time permits) 
 
Week 12  Review for Test 3  Topics for TEST III: Chapters 3 and 5  
Week 13  4.1  Exponential Functions 


Week 13  4.2  Logarithmic Functions 


Week 14  4.3  Logarithmic Properties  Know properties of exponents 

Week 14  4.4  Logarithmic and Exponential Equations  Understand properties of logarithms 

Week 14  4.5  Exponential growth and decay models (Optionalif time permits)  Understand exponential and logarithmic equations 

Week 15  Review  Review for Final 