SRJC Course Outlines

4/14/2024 3:33:35 AMMATH 27 Course Outline as of Fall 1999

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 27Title:  COL ALG AND TRIG  
Full Title:  College Algebra and Trigonometry
Last Reviewed:3/14/2022

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum5.00Lecture Scheduled5.0017.5 max.Lecture Scheduled87.50
Minimum5.00Lab Scheduled08 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total5.00 Contact Total87.50
 
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  175.00Total 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: Untitled document
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:
 B4Math/Quantitative ReasoningFall 1996
 B4Math/Quantitative ReasoningFall 1981Spring 1984
 
IGETC:Transfer Area Effective:Inactive:
 2AMathematical Concepts & Quantitative ReasoningFall 1998
 
CSU Transfer:TransferableEffective:Fall 1981Inactive:
 
UC Transfer:TransferableEffective:Fall 1998Inactive:
 
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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