# SRJC Course Outlines

 5/24/2022 11:14:56 PM MATH 154 Course Outline as of Summer 2019 Changed 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

Catalog Description:
Untitled document
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: Untitled document
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: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: Fall 2016 Inactive: Area: BMC Communication and Analytical ThinkingMath Competency 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:
Upon completion of the course, students will be able to:
Untitled document
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: Untitled document
During this course, students will:
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,
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
Untitled document
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
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
A. Square roots
B. Simplification
C. Sums and products of radicals
D. Rationalizing denominators of square roots
F. Pythagorean Theorem
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
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:
Untitled document
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