Discipline: Mathematics
Originator: Joseph DeGuzman

Riverside Community College District
Integrated Course Outline of Record

Mathematics 11
MAT-11 : College Algebra
College:
Lecture Hours: 72.000
Outside-of-Class Hours: 144.000
Units: 4.00
Grading Methods: Pass/No Pass
Letter Grade
Course Description
Prerequisite: MAT-35 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 real-world 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:
  1. Simplify algebraic expressions using correct mathematical symbols and language.
    • MAT-35 - Simplify algebraic expressions using correct mathematical symbols and language.
  2. Identify and apply appropriate method to solve rational, radical exponential, and logarithmic equations.
    • MAT-35 - Identify and apply appropriate methods to solve rational, radical, exponential, and logarithmic equations.
  3. Solve applications that require writing and solving equations. Communicate solution in the context of the problem.
    • MAT-35 - Solve applications that require writing and solving equations. Communicate solution in the context of the problem.
  4. Graph linear and basic nonlinear functions.
    • MAT-35 - Graph linear and basic nonlinear functions.
Course Objectives:
Upon successful completion of the course, students should be able to demonstrate the following activities:
  1. Solve and apply equations including linear, absolute value, polynomial, radical, rational, exponential and logarithmic.
  2. Observe and analyze the various properties of functions and their graphs.
  3. Apply transformations to the graphs of functions.
  4. Solve linear and nonlinear systems of equations and inequalities, emphasizing real-world applications
  5. Understand and apply basic operations with complex numbers
  6. Use linear programming to solve real-world applications.
  7. Apply the concept of functions to real-world applications in the field of life science, business, and humanities.
  8. 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:
  1. Analyze properties of functions and their graphs.
  2. Solve linear and nonlinear systems of equations and inequalities.
  3. Solve and apply equations with an emphasis in applications.
    • Critical Thinking: Students will be able to demonstrate higher-order 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:
  1. Equations
    1. Linear and absolute value
    2. Polynomial and rational
    3. Radical
    4. Exponential and logarithmic
    5. Applications of equations
  2.  Functions and their graphs
    1. Linear, absolute value, polynomial, rational, radical, exponential, logarithmic
    2. Definitions
    3. Evaluation
    4. Domain and range
    5. Intercepts and vertices
    6. Transformations and symmetry
  3. Operations with functions
    1. Combining functions
    2. Composition of functions
    3. One-to-one functions and their inverses
  4. Inequalities
    1. Linear
    2. Nonlinear
    3. Real world applications using inequalities
  5. Systems of equations and inequalities
    1. Linear Systems
    2. Non-linear Systems
    3. Linear Programming
  6. Probability
    1. Counting methods
    2. Rules of probability
  7. 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 hand-outs and/or computer-based 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, computer-based 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:
Outside-of-Class 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.
Outside-of-Class Writing Assignments
  • Solve linear, absolute value, polynomial, rational, exponential, and logarithmic equations.  Solve linear and nonlinear systems of equations and inequalities.  
Other Outside-of-Class 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 Addison-Wesley 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)
C-ID#: MATH 155
Board of Trustees Approval Date: 05/21/2019
COR Rev Date: 05/11/2019