11/21/2024 2:58:30 AM	MATH 154 Course Outline as of Fall 2024	Inactive Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 154	Title:  ELEM AND INT ALG B-STEM
Full Title:  Elementary and Intermediate Algebra For Business and STEM
Last Reviewed:10/22/2018

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	8.00	Lecture Scheduled	8.00		17.5 max.	Lecture Scheduled	140.00
Minimum	8.00	Lab Scheduled	0		17.5 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	8.00			Contact Total	140.00
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  280.00

Total Student Learning Hours: 420.00

Title 5 Category:  AA Degree Applicable
Grading:  Grade or P/NP
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

A combined elementary and intermediate algebra course that incorporates the use of graphing technology. Topics include functions, equations and inequalities in one variable, systems of linear equations in two and three variables, exponential and logarithmic functions and equations, and conic sections.

Prerequisites/Corequisites:
Completion of CSKLS 373 or CSKLS 372 or AB705 placement into Math Tier 1 or higher

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

A combined elementary and intermediate algebra course that incorporates the use of graphing technology. Topics include functions, equations and inequalities in one variable, systems of linear equations in two and three variables, exponential and logarithmic functions and equations, and conic sections.

(Grade or P/NP)
Prerequisites:Completion of CSKLS 373 or CSKLS 372 or AB705 placement into Math Tier 1 or higher
Recommended:
Limits on Enrollment:
Transfer Credit:
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:		Inactive:
Area:
CSU GE:	Transfer Area			Effective:	Inactive:
IGETC:	Transfer Area			Effective:	Inactive:
CSU Transfer:		Effective:		Inactive:
UC Transfer:		Effective:		Inactive:
C-ID:

Certificate/Major Applicable: Both Certificate and Major Applicable

COURSE CONTENT

Student Learning Outcomes:
At the conclusion of this course, the student should be able to:

1.  Solve linear equations, linear inequalities in one variable, polynomial equations by factoring,

    radical equations, and systems of two linear equations.

2.  Simplify and perform operations on expressions involving radicals, exponents, and

    polynomials.

3.  Graph and formulate linear equations in two variables.

4.  Identify and use appropriate algebraic methods to solve application problems.

5.  Analyze functions and solve equations and inequalities using graphing technology and

    algebraic methods.

6.  Create mathematical models and solve applications of linear and nonlinear functions.

7.  Solve systems of linear equations using matrix methods and graphing technology.

8.  Graph conic sections, including parabolas, ellipses, and hyperbolas.

 

Objectives:

At the conclusion of this course, the student should be able to:

1.   Solve linear equations and inequalities in one variable.

2.   Evaluate and solve formulas.

3.   Graph linear equations and inequalities in two variables, including the slope-intercept

      method.

4.   Find the equation of a line given information about the line.

5.   Define a polynomial, and perform the operations of addition, subtraction, multiplication,

      division, and factoring of polynomials.

6.   Use the laws of exponents and manipulate expressions involving rational exponents.

7.   Solve linear systems of equations in two variables using the methods of substitution,

      addition, and graphing.

8.   Simplify, add, subtract, multiply and divide radical expressions.

9.   Simplify, add, subtract, multiply, and divide rational expressions.

10. Define function, domain, and range, and use function notation.

11. Identify basic features of the graphs of polynomial, radical, absolute value, exponential and

      logarithmic functions.

12. Use graphing technology to construct graphs, to solve nonlinear equations and inequalities in

      one variable, and to locate roots, intersection points, and extrema.

13. Use algebraic methods to solve equations that involve polynomial, radical, absolute value,

      rational, exponential and logarithmic expressions.

14. Find algebraic solutions to literal equations.

15. Apply algebraic or graphical methods, as appropriate, to solve application problems

      involving polynomial, radical, absolute value, rational, exponential and logarithmic

      functions.

16. Apply properties of exponents and logarithms.

17. Express an understanding of the number e.

18. Graph conic sections, including parabolas, ellipses, and hyperbolas.

19. Use algebraic and graphical methods to solve linear and nonlinear systems in two variables,

      and use Reduced Row Echelon Form (RREF) to solve systems of linear equations in three

      variables.

20. Solve application and modeling problems that require the use of a system of linear equations.

21. Find graphical solutions to systems of linear inequalities.

Topics and Scope

I. Linear Equations and Inequalities in One Variable

    A. Linear equations

    B. Applications of linear equations

    C. Linear inequalities

    D. Formulas

II. Linear Equations and Inequalities in Two Variables

    A. Cartesian coordinate system

    B. Graphing linear equations, including the slope-intercept method

    C. Finding the equation of a line

    D. Graphing linear inequalities in two variables

    E. Systems of equations in two variables

         1. Solving by graphing

         2. Solving by elimination (addition)

         3. Solving by substitution

         4. Applications

III. Integer Exponents and Laws of Exponents

IV. Polynomials

    A. Definition

    B. Operations

    C. Factoring

         1. Common factors

         2. Grouping

         3. Trinomials

         4. Difference of squares

         5. Sum and difference of cubes

    D. Solving quadratic equations by factoring

    E. Applications

V. Radicals

    A. Square roots

    B. Simplification

    C. Sums and products of radicals

    D. Rationalizing denominators of square roots

    E. Higher-index radicals

    F. Pythagorean Theorem

    G. Radical equations

    H. Rational exponents

    I. Applications

VI. Use of Technology

    A. Evaluate and graph functions

    B. Solve equations and inequalities graphically

    C. Matrices and RREF

VII. Functions

    A. Definition of relation, function, domain, and range

    B. Function notation and evaluation

    C. Interval notation, intersection and union

    D. Analyze graphs of polynomial, absolute value, radical, exponential, and logarithmic

         functions with and without graphing technology

    E. Mathematical models and other applications of linear and nonlinear functions

VIII. Equations and Inequalities

    A. Equations

         1. Solutions of literal equations

         2. Algebraic and graphical solutions of linear, quadratic, radical, rational, absolute value,

              exponential, and logarithmic equations

    B. Inequalities

         1. Algebraic solutions to absolute value inequalities

         2. Graphical solutions of linear and nonlinear inequalities using graphing technology

IX. Quadratic Functions

    A. Vertex and general forms

    B. Discriminant

    C. Solutions to quadratic equations using factoring, quadratic formula, and completing the

         square

    D. Applications and modeling

X. Rational Expressions and Equations

    A. Simplification of rational expressions, including complex fractions

    B. Operations on rational expressions

    C. Solving rational equations

    D. Applications and modeling

XI. Exponential and Logarithmic Functions

    A. The number e

    B. Common and natural logarithms

    C. Laws of logarithms

    D. Applications and modeling

XII. Introduction to Conic Sections

    A. Midpoint and Distance Formulas, Circles

    B. Parabolas

    C. Ellipses

    D. Hyperbolas

XIII. Systems of Equations/Inequalities

    A. Linear and nonlinear systems of equations

    B. Matrices and RREF

    C. Systems of linear inequalities

    D. Applications and modeling

Assignments:

1. Reading outside of class (0-60 pages per week)

2. Problem sets (1-8 per week)

3. Quizzes (0-4 per week)

4. Projects (0-10)

5. Exams (3-8)

6. Final exam

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 5 - 20%
Problem sets
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 0 - 0%
None
Exams: All forms of formal testing, other than skill performance exams.		Exams 70 - 95%
Exams and quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 10%
Projects

Representative Textbooks and Materials:

Beginning and Intermediate Algebra. 5th ed. Miller, Julie and O'Neill, Molly and Hyde, Nancy. McGraw-Hill. 2017

Beginning and Intermediate Algebra. 6th ed. Martin-Gay, Elayn. Pearson. 2016

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