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6.
Hours per week of independent work done outside of class: 8
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Course Preparation –
(Supplemental form B required)
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7a. Prerequisite(s): (Course and/or other
preparation/experience that is REQUIRED to be completed
previous to enrollment in this course.)
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High school intermediate algebra or Math.
D or the equivalent with a grade of "C" or better, or
placement by matriculation assessment process
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7b. Co-requisite(s): (Courses and/or
other preparation that is REQUIRED to be taken concurrently with
this course.)
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7c. Advisory: (Minimum preparation RECOMMENDED in
order to be successful in this course. Also known as “Course Advisory”.)
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Catalog Description And Other Catalog Information
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8. Repeatability:
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Not Repeatable
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9a. Grading Option:
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Standard Grade
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9b. Catalog Description:
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Study of algebra topics beyond Math D;
including functions, graphs, logarithms, systems of equations,
matrices, analytic geometry sequences, mathematical induction,
and introduction to counting techniques. (CAN MATH 10)
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Course Outline Information
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10. Student Performance Outcomes: (Outcomes for all
credit courses must indicate that students will learn critical
thinking and will be able to apply concepts at college
level. Outcomes must be related to items listed in
Section 11.)
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Through homework assignments, quizzes,
exams, projects and classroom discussions, the student will:
1. solve equations, including linear, quadratic, polynomial,
rational, logarithmic, exponential, absolute value and with
radicals;
2. simplify algebraic expressions using the order of operations,
properties of exponents/radicals, and mechanics of fractions;
3. solve word problems leading to equations from outcome Number
1;
4. graph functions and equations and have the ability to discuss
and find intercepts, vertices, and asymptotes (examples of
functions: linear, quadratic, polynomial, logarithmic,
exponential, radical and conic sections);
5. solve systems of equations using substitution, elimination or
matrices;
6. identify and graph conic sections;
7. perform binomial expansion using Pascal's Triangle or
combinatorics; and
8. identify terms and find finite or infinite sums of arithmetic
and geometric sequences and series.
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11. Course Content Outline: (Provides a
comprehensive, sequential outline of the course content,
including all major subject matter and the specific body of
knowledge covered.)
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I. Basic Concepts of Algebra
A. Exponents and Radicals
B. Polynomials, Factoring, Special Products
C. Fractional Expressions
D. Linear and Quadratic Equations
E. Linear and Non-Linear Inequalities
F. Problem Solving/Word Problems
G. Complex Numbers
II. Functions and Graphs
A. Definition of Function and Evaluation of Functions
B. Graphing of Functions
1. Zeros, or Roots, and Intercepts of Functions
2. Asymptotes of Functions
3. Shifting and Reflection of Functions
C. Combination and Composition of Functions
D. Inverse Function
E. Conic Sections
III. Logarithms, Exponential and Logarithmic Functions
A. Review of Exponents and Logarithms
B. Solving Equations with Exponentials and Logarithms
C. Graphing Exponential and Logarithmic Functions
IV. Systems of Equations and Matrices
A. Solving Systems of Equations
1. Substitution
2. Elimination
B. Introduction to Matrices
1. Algebra of matrices
2. Elementary row operations
3. Inverse of a square matrix
C. Matrices as a Method of Solving a System of Equations
1. Elementary row operations
2. Inverse matrices
3. Cramer's Method
V. Binomial Expansion and Combinatorics
A. Expand Binomial
1. Pascal's triangle
2. Combinations
B. Combinatorics
1. Combinations
2. Permutations
3. Counting techniques
VI. Sequences and Mathematical Induction
A. Arithmetic Sequences
1. Terms
2. Sums
B. Geometric Sequences
1. Terms
2. Sums
C. Introduction to Mathematical Induction
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12. Typical Assignments: (List types of
assignments, including library assignments.)
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a. Reading Assignments: (Submit at least 2
examples)
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1. Students will read selected topics
throughout the course from the textbook. For example, students
will read how to find the zeroes of rational functions using
algebraic and graphical methods.
2. Students will read supplementary handouts on topics such as
the applications of and patterns found in Pascal's Triangle and
prepare a presentation about one pattern to the class.
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b. Writing, Problem Solving or Performance: (Submit at least 2
examples)
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1. Students will complete homework
problems from the textbook on topics throughout the course. Such
problems may involve computation, sketching graphs and diagrams,
solving equations, applying mathematical concepts, or explaining
mathematical ideas.
2. Students will work in groups to solve application problems in
class. For example, using matrices to solve systems of equations
that arise from mixture problems.
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c. Other (Terms projects, research papers,
portfolios, etc.)
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Program title -
TOPS Code:
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Mathematics,
General- 170100
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SECTION D
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General Education Information:
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1. College Associate Degree GE
Applicability:
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Communication
& Analytic Thinking
Math Competency
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2. CSU GE
Applicability (Recommended-requires CSU approval):
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B-4
Mathematics/Quantitative Reasoning
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3. IGETC Applicability (Recommended-requires
CSU/UC approval):
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2:
Mathematical Concepts & Quantitative Reasoning
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4. CAN:
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MATH 10
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SECTION E
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Articulation Information: (Required for
Transferable courses only)
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1.
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CSU Transferable.
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UC Transferable.
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CSU/UC major requirement.
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If CSU/UC major requirement, list campus and major.
(Note: Must be lower division)
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2.
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List at least one community college and its comparable
course. If requesting CSU and/or UC transferability
also list a CSU/UC campus and comparable lower division course.
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College
of the Desert (Math 10)
Cuesta College (Math 32)
CSU, Sacramento (Math 11)
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SECTION F
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Resources:
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Please consider the identified concerns below:
1.
Library: Please identify the implications to the
library
None
2.
Computer Support Services: Please identify the implications to
Computer Support Services:
The on-campus computer classroom is maintained
by mathematics department faculty and an Instructional
Assistant. Occasional support will be required from Computer
Support Services.
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SECTION G
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1. Maximum Class Size
(recommended):
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2. If recommended class size is not standard,
then provide rationale:
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