Yuba Community College District
Yuba College Course Outline
Course Information
Course Number:
MATH 52
Full Course Title:
Intermediate Algebra
Short Title:
Interm Algebra
TOP Code:
1701.00  Mathematics, General
Effective Term:
Spring 2017
Course Standards
Course Type:
Credit  Degree Applicable
Units: 4.0
Lecture hours: 72.0
Repeatable:
No
Grading Method:
Letter Grade or Pass/No Pass
Minimum Qualifications for Instructors
 Mathematics (Masters Required)
Course Description
To prepare students to take transferlevel mathematics or statistics courses. Topics include: real and complex numbers; factoring of polynomials; rational and radical expressions and equations; functions (general); linear, quadratic, exponential, and logarithm functions and equations; graphs; distance, midpoint, and circles in the Cartesian plane; application problems.Conditions of Enrollment
Satisfactory completion of: MATH 101 or MATH 101B or (Placement Exam Score)Qualifying score on the mathematics placement test.
To allow the student who is prepared for Math 52 not to take the prerequisite course.
Advisories

Language  recommended eligibility for English 1ATo be able to read and understand the textbook. To be able to read and understand word problems.
Content
Course Lecture Content
 Basic operations
 Addition and subtraction
 Multiplication and division
 Powers (rational exponents) and nth roots of real numbers
 The order of operations
 Introduction to complex numbers
 Addition and subtraction
 Multiplication and division
 Powers (nonnegative integer exponents)
 Factor polynomials
 Rational expressions
 Simplify
 Add and subtract
 Multiply and divide
 Evaluate
 Radical expressions
 Simplify
 Add and subtract
 Multiply and divide
 Rationalize numerator or denominator
 Functions
 Function notation
 Add and subtract
 Multiply and divide
 Compose
 Invert
 Evaluate
 Graph
 Quadratic functions and their graphs
 Exponential and logarithm functions
 Graphs
 Properties
 Relation between exponential and logarithm
 Change of base of logarithm
 Nonlinear equations in one variable
 Solve by factoring
 Solve by changing variables (including equations of quadratic type)
 Quadratic equations in one variable
 Solve by completing the square
 Solve using the quadratic formula
 Equations in one variable that contain rational or radical expressions
 Equations in one variable that contain exponential or logarithm function
 Distance and midpoint between two points in the Cartesian plane
 Circles
 Graph
 Equation
 Center and radius
 Applications that require one equation or a system of two equations
 Perimeter
 Area
 Proportion
 Direct and inverse variation
 Distanceratetime
 Mixture
 Jobrate
 Pythagorean theorem
 OPTIONAL: Nonlinear inequalities in one variable.
Objectives

Perform basic operations.

Factor polynomials.

Manipulate rational expressions.

Manipulate radical expressions.

Translate between rational exponent notation and radical notation.

Add, subtract, multiply, divide, compose, invert, evaluate, and graph functions; use function notation.

Graph quadratic, exponential, and logarithm functions.

Solve equations in one variable.
**Requires Critical Thinking**

Solve quadratic equations and equations of quadratic type.
**Requires Critical Thinking**

Find the distance and midpoint between two points in the Cartesian plane.

Analyze circles.

Solve applications that require one equation or a system of two equations.
**Requires Critical Thinking**
Student Learning Outcomes
 Factor a polynomial expression.
 Demonstrate understanding of logarithmic properties.
 Perform operations on rational expressions.
 Analyze and graph a quadratic function.
 Solve a problem involving exponential equations.
 Solve a problem involving quadratic equations.
 Perform operations on radical expressions.
Methods of Instruction

Lecture/Discussion
Distance Education
Delivery Methods
 Online
 Broadcast Education
Assignments
Reading Assignments
Writing Assignments
Other Assignments
A selection of problems from the end of each section of the textbook.
Methods of Evaluation
 Exams
 Homework
 Oral Tests/Class Performance
 Quizzes

OtherSkills test
Course Materials
Textbooks:

MartinGay, Elayn. Beginning & Intermediate Algebra – A Custom Edition for the Yuba Community College District, 1st custom ed ed. Pearson Learning Solutions, 2012, ISBN: 1256811173Equivalent text is acceptable
Other:
 Scientific calculator: Texas Instruments TI30X IIS