Riverside Community College District
Integrated Course Outline of Record

Mathematics 35B

1. Apply the basic operations of algebra on the set of real numbers, polynomials and rational expressions at an intermediate algebra level.
   
   • MAT 35A - 1.  Apply the basic operations of algebra on the set of real numbers, polynomials and rational expressions at an intermediate algebra level.


2. Solve linear, rational and absolute value equations and systems of equations.
   
   • MAT 35A - 2.  Solve linear, rational and absolute value equations and systems of equations.


3. Solve linear inequalities in one or two variables.
   
   • MAT 35A - 3.  Solve linear inequalities in one and two variables. Solve absolute vale inequalities.


4. Graph equations of lines and linear inequalities and basic polynomial functions, absolute value functions and reciprocal functions.
   
   • MAT 35A - 4.  Graph equations of lines and linear inequalities, basic polynomial functions, absolute value functions, and reciprocal functions.


5. Recognize and determine the distinctions between functions and relations; and apply basic operations on functions.
   
   • MAT 35A - 5.  Recognize and determine the distinctions between functions and relations, and apply basic operations on functions.

1.  Apply basic operations of algebra in rational, radical and complex numbers.

1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
2. Communication Skills - Read college-level materials with understanding and insight
3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results

2.  Solve rational, quadratic, exponential, radical and logarithmic equations.

1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
2. Critical Thinking - Integrate knowledge across a range of contexts
3. Communication Skills - Read college-level materials with understanding and insight
4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results

3.  Graph exponential, logarithmic, radical and quadratic equations, as well as conic sections.

1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
2. Information Skills - Locate, evaluate and use information effectively
3. Communication Skills - Read college-level materials with understanding and insight
4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results

4.  Calculate terms of sequences and sums of series.

1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
2. Communication Skills - Read college-level materials with understanding and insight
3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results

1.    Class lectures, discussions, and demonstrations of the four basic operations as applied to complex numbers, radical and logarithmic expressions and functions; solving non-linear equations; graphing non-linear inequalities; identifying conic sections; and calculating series and terms of sequences. 

2.    Drills and pattern practices utilizing hand-outs and/or computer-based tools in order to assist the students in mastering the techniques involved in applying the algebraic principles and techniques to the solution of applications utilizing the four basic mathematical operations in tandem with those topics mentioned in 1.

3.    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.

4.    Pair and small group activities, discussions, and exercises in order to promote mathematics discovery and enhance problem solving skills.

1.    Evaluation of written homework assignments and/or computerized homework assignments for correct application of algebraic principles as well as the correct use of symbols and vocabulary of algebra.

2.    Quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of the four basic operations as applied to complex numbers, radical and logarithmic expressions and functions; solving non-linear equations; graphing non-linear inequalities; identifying conic sections; and calculating series and terms of sequences.

3.    Assessment of classroom discovery activities for content knowledge and conceptual understanding.

Pages from the text corresponding to sections covered in the book, especially the definitions, theorems, and examples. Read reference articles related to specific or broad algebra topics.

Written solutions for problems from the text ( for example, section 3.2, Solving Linear Equations, pg. 135, #1- 31 odd). Write short paragraph responses to applications and mathematical procedures.

Research ( online, library, mathlab) alternative solving techniques. Complete printed or online practice exercises.

• Tussy, Gustafson. Intermediate Algebra. 3rd ed. Brooks/Cole, 2005.
• Lial, Hornsby, McGinnis. Intermediate Algebra. 8th ed. Addison-Wesley, 2006.