| 12/27/2024 1:27:08 AM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 27 | Title:
COL ALG AND TRIG |
|
| Full Title:
College Algebra and Trigonometry |
| Last Reviewed:3/14/2022 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 5.00 | Lecture Scheduled | 5.00 | 17.5 max. | Lecture Scheduled | 87.50 |
| Minimum | 5.00 | Lab Scheduled | 0 | 8 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 5.00 | | Contact Total | 87.50 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 175.00 | Total Student Learning Hours: 262.50 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade Only
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
MATH 57
Catalog Description:
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Topics from college algebra and trigonometry, including analytic geometry, functions and their graphs, trigonometric functions of angles, trigonometric identities, trigonometric solution of triangles, complex numbers, vectors, sequences and series.
Prerequisites/Corequisites:
Completion of MATH 155 or higher (VE) OR Completion of MATH 155 or higher (VF) OR Completion of MATH 155 or higher (V1)
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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College algebra and trigonometry topics, including analytic geometry, functions and graphs, trigonometric functions of angles, trigonometric identities, trigonometric solution of triangles, complex numbers, vectors, sequences and series.
(Grade Only)
Prerequisites:Completion of MATH 155 or higher (VE) OR Completion of MATH 155 or higher (VF) OR Completion of MATH 155 or higher (V1)
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
| Associate Degree: | Effective: | Fall 1981
| Inactive: | |
| Area: | B
MC
| Communication and Analytical Thinking
Math Competency
|
| |
| CSU GE: | Transfer Area | | Effective: | Inactive: |
| | B4 | Math/Quantitative Reasoning | Fall 1996 | |
| | B4 | Math/Quantitative Reasoning | Fall 1981 | Spring 1984 |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
| | 2A | Mathematical Concepts & Quantitative Reasoning | Fall 1998 | |
| |
| CSU Transfer: | Transferable | Effective: | Fall 1981 | Inactive: | |
| |
| UC Transfer: | Transferable | Effective: | Fall 1998 | Inactive: | |
| |
| C-ID: |
Certificate/Major Applicable:
Not Certificate/Major Applicable
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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To be successful, students should be able to:
1. Perform advanced operations with functions (using symbolic,
graphical, and numerical representations) and apply knowledge to
modeling problems.
2. Define and graph inverse functions.
3. Solve algebraic equations over the complex numbers.
4. Define and apply characteristics of functions (including
intercepts, turning points, intervals of positive/negative,
increasing/decreasing value) in graphing polynomial, rational,
algebraic, exponential, logarithmic, and trigonometric functions.
5. Solve algebraic and trigonometric equations graphically and
symbolically.
6. Graph circles, functions, parametric representations, and polar
functions using polar coordinates.
7. Apply trigonometric functions and identities to solve problems
in mathematics and science.
8. Solve right and oblique triangles using the trigonometric
functions and the laws of sines and cosines.
9. Use vectors to model applications in mathematics and science.
10. differentiate between an asymptote and a hole in the graph.
Topics and Scope
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INTRODUCTION TO ANALYTIC GEOMETRY
Symmetry, Distance formula, Equations of circles,Introduction to
parametric equations, Systems of nonlinnear equations.
FUNCTIONS
Symbolic, graphical, and numerical representations,Operations and
composition, Inverse functions, Modeling.
GRAPHS OF FUNCTIONS
Definition and characteristics, Horizontal and vertical shifts,
scaling, Graphical solutions and numerical solutions of equations.
CATALOG OF GRAPHS
Graphs of polynomial, rational, algebraic, exponential and
logarithmic functions, Introduction to limit concepts, Graphs of
of Inverse functions.
TRIGONOMETRIC FUNCTIONS
Definition, Characteristics of trigonometric functions, Radian
measure, arc length ond area of a sector, Inverse trigonometric
functions,Graphs.
IDENTITIES AND CONDITIONAL EQUATIONS
Fundamental identities, Sum and difference of angles and related
identities, Trigonometric equations.
SOLUTIONS OF TRIANGLES
Right triangles, Oblique triangles, Laws of Sines and Cosines.
COMPLEX NUMBERS
Definitions and operations, Graphical representation.
VECTORS-2 DIMENSIONAL
Geometric and analytic definitions,Sum, differences, scalar multiplication
01d dot product.
EQUENCES AND SERIES
Finite and infinite geometric sequences and series.
Assignments:
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The student will have daily outside reading, problem set assignments
from required text(s), or instructor chosen supplementary materials.
Instructional methodology may include, but not limited to: lecture,
demonstrations, oral recitation, discussion, supervised practice,
independent study, outside project or other assignments.
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 and skill demonstrations 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
25 - 50% |
| Homework problems, Quizzes, Exams | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
30 - 70% |
| Performance exams | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
3 - 25% |
| Multiple choice, True/false | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
2 - 10% |
| WRITING ASSIGNMENTS | |
Representative Textbooks and Materials:
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Text(s) required of each student will be selected by the department,
a committee of the department, or the responsible instructor from the
books currently available. Choices could include:
Larson/Hostetler/Edwards, PRECALCULUS, D.C. Heath, 1994
Ruud/Shell, PRELUDE TO CALCULUS, PWS, 1993
Swokowski, FUNDAMENTALS OF ALGEBRA AND TRIGONOMETRY, 8th Ed., 1993
Kaufmann, COLLEGE ALGEBRA AND TRIGONOMETRY, 2nd Ed., 1990
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