| 11/21/2024 10:43:53 AM |
| New Course (First Version) |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 154 | Title:
ELEM AND INT ALG |
|
| Full Title:
Elementary and Intermediate Algebra |
| 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:
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A combined elementary and intermediate algebra course that incorporates the use of 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 discrete topics. Graphing calculators and/or computer algebra systems will be incorporated as appropriate.
Prerequisites/Corequisites:
Completion of CSKL 372 or higher (VE)
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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A combined elementary and intermediate algebra course that incorporates the use of 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 discrete topics. Graphing calculators and/or computer algebra systems will be incorporated as appropriate.
(Grade or P/NP)
Prerequisites:Completion of CSKL 372 or higher (VE)
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: | B
MC
| Communication and Analytical Thinking
Math Competency
|
| |
| CSU GE: | Transfer Area | | Effective: | Inactive: |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
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| CSU Transfer: | | Effective: | | Inactive: | |
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| UC Transfer: | | Effective: | | Inactive: | |
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| C-ID: |
Certificate/Major Applicable:
Both Certificate and Major Applicable
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon completion of the course, students will be able to:
1. Perform arithmetic operations on real numbers and polynomial expressions.
2. Evaluate algebraic expressions.
3. Factor polynomials.
4. Solve linear, polynomial, rational, absolute value, radical, literal, exponential, logarithmic equations and systems of equations.
5. Solve linear and absolute value inequalities.
6. Graph linear equations and find the equation of a line.
7. Graph nonlinear relations and functions including parabolas.
8. Use the properties of radicals, exponents and logarithms.
9. State the distinctions between functions.
10. Apply basic operations on functions.
11. Solve mathematical models such as growth and decay, geometry, optimization, or uniform motion, and justify and interpret the solution in the context of the model.
Topics and Scope
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I. Real number operations
II. Properties of exponents
III. Polynomials
A. Basic operations of polynomials
B. Factoring including greatest common factor, grouping, quadratic, sums and differences of cubes and using substitution
C. Solve equations by factoring
IV. Rational Expressions and Equations
V. Linear equations and inequalities
A. Literal equations
B. Applications
C. Graphing
VI. Absolute value equations and inequalities
VII. Radical expressions and equations including square and cube roots, and rational exponents
VIII. Relations and Functions
A. Domain and range
B. Linear and nonlinear
C. Function notation
D. Algebra of functions
IX. Quadratic equations/Functions and Their Graphs
A. Completing the square
B. Quadratic formula
X. Graphs of nonlinear relations including parabolas
XI. Exponential and Logarithmic Functions
A. Properties of logarithms
B. Solving exponential and logarithmic equations
XII. Systems of Equations in two and three variables
XIII. Matrices and reduced row echelon form (RREF)
XIV. Modeling with linear and nonlinear functions, such as growth and decay, geometry, optimization, or uniform motion
XV. Discrete topics
A. Introduction to sequences and series
B. Summation notation
C. Factorial notation
D. Pascal's triangle
E. Binomial coefficients
F. Binomial expansion
Assignments:
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1. Daily reading outside of class (approximately 10-60 pages per week)
2. Problem set assignments (15-40)
3. Midterms (2-5) and a final exam; quizzes (0-15)
4. Projects (for example, calculator explorations and activities) (0-2)
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% |
| Quizzes, Midterms, Final Exam | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 10% |
| Projects | |
Representative Textbooks and Materials:
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Beginning and Intermediate Algebra by Martin-Gay 5th, 2013, Pearson
Introductory and Intermediate Algebra by Bittinger 5th, 2013, Pearson
Beginning and Intermediate Algebra by Rockswold 3rd, 2012, Pearson
Beginning and Intermediate Algebra by Messersmith, 4th, 2016, McGraw-Hill
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