Discipline: Mathematics
Originator: Joseph DeGuzman
Riverside Community College District
Integrated Course Outline of Record
Mathematics
11
MAT11 : College Algebra 
College:
Lecture Hours:
72.000 OutsideofClass Hours: 144.000 Units: 4.00 Grading Methods: Pass/No Pass Letter Grade 
Course Description
Prerequisite:
MAT35 or qualifying placement level.
Course Credit Recommendation:
Degree Credit
This course is intended for students majoring in Liberal Arts and Humanities. The topics covered in this course develop the understanding and use of realworld applications of polynomial, radical, rational, absolute value, exponential and logarithmic functions; systems of equations; polynomial equations; permutations and combinations; analytic geometry; and linear programming. 72 hours lecture. (Letter Grade or Pass/No Pass option)
Short Description for Class Schedule
College level algebra
Entrance Skills:
Before entering the course, students should be able to demonstrate the following skills:
Simplify algebraic expressions using correct mathematical symbols and language.
 MAT35  Simplify algebraic expressions using correct mathematical symbols and language.

Identify and apply appropriate method to solve rational, radical exponential, and logarithmic equations.
 MAT35  Identify and apply appropriate methods to solve rational, radical, exponential, and logarithmic equations.

Solve applications that require writing and solving equations. Communicate solution in the context of the problem.
 MAT35  Solve applications that require writing and solving equations. Communicate solution in the context of the problem.

Graph linear and basic nonlinear functions.
 MAT35  Graph linear and basic nonlinear functions.
Course Objectives:
Upon successful completion of the course, students should be able to demonstrate the following activities:
Solve and apply equations including linear, absolute value, polynomial, radical, rational, exponential and logarithmic.
 Observe and analyze the various properties of functions and their graphs.
 Apply transformations to the graphs of functions.
 Solve linear and nonlinear systems of equations and inequalities, emphasizing realworld applications
 Understand and apply basic operations with complex numbers
 Use linear programming to solve realworld applications.
 Apply the concept of functions to realworld applications in the field of life science, business, and humanities.
 Apply the concepts of permutations and combinations.
Student Learning Outcomes:
Upon successful completion of the course, students should be able to demonstrate the following skills: Analyze properties of functions and their graphs.
 Solve linear and nonlinear systems of equations and inequalities.
 Solve and apply equations with an emphasis in applications.
 Critical Thinking: Students will be able to demonstrate higherorder thinking skills about issues, problems, and explanations for which multiple solutions are possible. Students will be able to explore problems and, where possible, solve them. Students will be able to develop, test, and evaluate rival hypotheses. Students will be able to construct sound arguments and evaluate the arguments of others.
Course Content:
 Equations
 Linear and absolute value
 Polynomial and rational
 Radical
 Exponential and logarithmic
 Applications of equations
 Functions and their graphs
 Linear, absolute value, polynomial, rational, radical, exponential, logarithmic
 Definitions
 Evaluation
 Domain and range
 Intercepts and vertices
 Transformations and symmetry
 Operations with functions
 Combining functions
 Composition of functions
 Onetoone functions and their inverses
 Inequalities
 Linear
 Nonlinear
 Real world applications using inequalities
 Systems of equations and inequalities
 Linear Systems
 Nonlinear Systems
 Linear Programming
 Probability
 Counting methods
 Rules of probability
 Complex numbers
Methods of Instruction:
Methods of instruction used to achieve student learning outcomes may include, but are not limited to, the following activities:
 Class lectures, discussions, and demonstrations of applying basic concepts of college algebra in various fields, exponential and logarithmic functions in business and humanities, permutations and combinations, employing the function concept and graphical solutions in applications, and using polynomial functions to model applications.
 Drills and pattern practices utilizing handouts and/or computerbased tools in order to assist the students in mastering the techniques involved in graphing functions.
 Provision and employment of a variety of learning resources such as videos, slides, audio tapes, computerbased tools, manipulatives, and worksheets in order to address multiple learning styles and to reinforce material.
 Pair and small group activities, discussions, and exercises in order to promote mathematics discovery and enhance problem solving skills.
Methods of Evaluation:
Students will be evaluated for progress in and/or mastery of student learning outcomes using methods of evaluation which may include, but are not limited to, the following activities:
 Written homework assignments and/or computerized homework assignments where students apply transformations to graph a function.
 Quizzes and midterm/final examinations designed to evaluate students' applications of functions to the fields of social science, business, and humanities.
 Classroom discovery activities for content knowledge and conceptual understanding of combinations and permutations.
Sample Assignments:
OutsideofClass Reading Assignments
 Read and analyze text, examples, and notes covering topics such as employing various functions to model and solve a range of application problems.
OutsideofClass Writing Assignments
 Solve linear, absolute value, polynomial, rational, exponential, and logarithmic equations. Solve linear and nonlinear systems of equations and inequalities.
Other OutsideofClass Assignments
 Analyze properties of functions and their graphs using a graphing utility, such as Excel.
Course Materials:
All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include the following:
 Almgren Kime, Clark, Michael. Explorations in College Algebra. 5th John Wiley & Sons, 2018.
 Bittinger, Beecher, Ellenbogen, and Pena. College Algebra – Graphs and Models, with MathXL software. 6th AddisonWesley Publishing Company, 2017.
 Blitzer, Robert. College Algebra. 7th Pearson, 2018.
 Gary Rockswold. College Algebra with Modeling and Visualization . 6th Pearson, 2018.
 Harshbarger, R.J., Yocco, L. College Algebra in Context. 5th Pearson, 2017.
 graphing calculator or Excel program.
Codes/Dates:
CB03 TOP Code:
1701.00  Mathematics, General
CB05 MOV Transfer Status: Transfers to Both UC/CSU (A)
CB05 NOR Transfer Status: Transfers to Both UC/CSU (A)
CB05 RIV Transfer Status: Transfers to Both UC/CSU (A)
CID#: MATH 155
CB05 MOV Transfer Status: Transfers to Both UC/CSU (A)
CB05 NOR Transfer Status: Transfers to Both UC/CSU (A)
CB05 RIV Transfer Status: Transfers to Both UC/CSU (A)
CID#: MATH 155
Board of Trustees Approval Date:
05/21/2019
COR Rev Date:
05/11/2019