Sep 21, 2023
MAT 151 - College Algebra [SUN# MAT 1151] 4 Credits, 4 Contact Hours
4 lecture periods 0 lab periods
Introduction to college-level algebra. Includes functions, exponential and logarithmic functions, linear 2x2 and higher systems, graphing, and calculator use. A graphing calculator is required.
Prerequisite(s): Within the last three years: MAT 095 or MAT 097 or MAT 122 or MAT 122Z or MAT 123 with a grade of C or better, or required score on the Mathematics assessment test.
Information: Credit for only one course will be awarded to students completing MAT 151 and MAT 188 . See course description or advisor to choose your best option. No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151, MAT 182, MAT 187, MAT 188 , and MAT 189 . A graphing calculator is required. See your instructor for details. Access to a scanner required for math classes taken online.
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.
Course Learning Outcomes
- Define functions and determine the domain and range. Perform operations on functions.
- Solve various types of equations and systems.
- Graph functions and inequalities.
- Solve problems involving real world applications.
- Define a function in terms of ordered pairs, graphically, and algebraically.
- Determine the domain of a function, and determine whether an element is in the range of a function.
- Use the algebra of functions and composition of functions defined by the modes in objective.
- Use the definition of a one-to-one function and compute the inverse of a one-to-one function.
- Define and calculate, exactly and by approximation, zeros and intercepts of functions.
- Perform basic operations with complex numbers.
- Find the zeros of polynomial functions by approximation and using simple algebraic methods.
- Given its zeros and their multiplicities, construct a polynomial function and sketch its graph.
- Graph rational functions.
- Solve nonlinear inequalities graphically.
- Use the properties of exponential functions.
- Use the concept of inverse functions to develop and work with logarithmic functions.
- Solve exponential and logarithmic equations.
- Solve applications, by algebraic means and by approximation, using polynomial, single radical, power, rational, exponential, and logarithmic functions.
- Solve application problems using linear systems.
- Use graphing calculators (or other technology).
- Using technology to model data (linear regression).
- By ordered pairs from table or other sources
- Piecewise-defined functions
- Increasing/decreasing functions
- Even and odd functions
- Domain and range
- Determine the domain
- Determine whether a number is in the range; find the range in other cases.
- Algebra of functions
- Find the inverse of a one-to-one function
- The zeros of a function
- Polynomial and Rational Functions
- Identify zeros and y-intercepts
- Remainder and Factor Theorems
- Polynomial long division
- Fundamental Theorem of Algebra
- Applications of Polynomials
- Non-linear inequalities (using graphical methods)
- Complex number systems
- Second degree polynomials
- Complete the square to put in a form to identify vertex
- Applications of maximum/minimum type
- Rational Functions
- Use properties of polynomials to analyze rational functions
- Applications of rational functions
- Exponential and Logarithmic Functions
- Properties and relationships
- Relate exponential and logarithmic as inverse functions
- Properties of Logarithms
- Problem solving
- Use part A to solve exponential and logarithmic equations
- Formulate and solve applied problems using exponential logarithmic functions.
- Linear 2 x 2 and Higher Systems
- Identify solutions as ordered n-tuples
- Classify systems as consistent or inconsistent
- Applications of systems
- Methods of solution
- Determine and graph features of functions and equations in general, and in particular for the types of functions listed in I-III.
- Use translations, reflections, and similar operations to obtain a new graph from a given graph.
- Use graph to interpret and analyze applied problems.
- Simple radical functions and power functions
- Calculator Use
- Numerical calculations and evaluation of functions
- Graph and analyze functions
- Other applications such as programs
- Linear regression
- Optional Topics
- The Binomial Theorem
- Conic sections
- Systems of equations which include nonlinear equations
- Systems of linear and/or nonlinear inequalities
- Mathematical induction
- Utilizing other types of technology such as spreadsheets
- Sequences and Series
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