SRJC Course Outlines

10/31/2020 9:44:59 AMMATH 1A Course Outline as of Fall 1999

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 1ATitle:  CALCULUS 1  
Full Title:  Calculus, First Course
Last Reviewed:9/14/2020

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: 

Catalog Description:
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Topics include limits and continuity, differentiation, applications of the derivative, integration, applications of the integral, methods of integration.

Prerequisites/Corequisites:
MATH 27 (formerly MATH 57).


Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Limits and continuity, differentiation, applications of the derivative, integration, applications of the integral, methods of integration.
(Grade Only)

Prerequisites:MATH 27 (formerly MATH 57).
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 1981
 
IGETC:Transfer Area Effective:Inactive:
 2AMathematical Concepts & Quantitative ReasoningFall 1981
 
CSU Transfer:TransferableEffective:Fall 1981Inactive:
 
UC Transfer:TransferableEffective:Fall 1981Inactive:
 
C-ID:
 CID Descriptor: MATH 900S Single Variable Calculus Sequence SRJC Equivalent Course(s): MATH1A AND MATH1B

Certificate/Major Applicable: Not Certificate/Major Applicable



COURSE CONTENT

Outcomes and Objectives:
Upon completion of the course, students will be able to:
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To be successful, students should be able to:
1.  Calculate limits and use limit notation.
2.  Determine derivatives of polynomial rational, algebraic, exponential
   logarithmic, and trigonometric functions.
3.  Use techniques of differentiation, including product, quotient, and
   chain rules.
4.  Apply derivatives to graphing, optimization, and science applcation.
5.  Determine antiderivatives of polynomial, rational, algebraic,
   exponential, logarithmic, and trigonometric functions.
6.  Evaluate definite integrals using the fundamental theorem of
   calculus.
7.  Use numerical integration to approximate definite integrals.
8.  Apply definite integration to compute area, volumes, arc length
   and solve problems in science and related fields.
9.  Apply methods of integration, including integration by parts,
   partial fractions, and use of tables or a computer algebra system.

Topics and Scope
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LIMITS AND CONTINUITY
   Definition of limit and basic limit theorems, Limits from graphs,
   Continuity.
THE DERIVATIVE
   Definition and difference quotients, slope of tangent line,
   Velocity, acceleration and rates of change, Product, quotient,
   and chain rules, Basic differentiation formulas for algebraic,
   trigonometric, logarithmic, exponential, inverse trigonometric
   and hyperbolic functions, Antiderivatives.
APPLICATIONS OF THE DERIVATIVE
   Implicit differentiqtion, Mean value theorem, Differentials, Related
   rates, Optimization, Separable differential equation,
   Other applications and modeling.
THE INTEGRAL
   Rieman sums, Definite Integral, Fundamental Theorem of Calculus.
   Integration  of polynomial, logarithmic, exponential, and
   trigonometric functions, Integration by substitution, Numerical
   integration.
APPLICATIONS OF THE INTEGRAL
   Area, volumes, arc length, Other applications and modeling.
METHODS OF EVALUATION
   Integration by parts, Partial fractions.  Use of tables or computer
   algebra systems.

Assignments:
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1.  The student will have daily outside reading, problem set assignments
   from required text(s), or instructor chosen supplementary materials.
2.  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, 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
5 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 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 in the past have included:
CALCULUS and ANALYTIC GEOMETRY 5TH Larson/Hostetler D.C. Heath 1997
CALCULUS, Ostebee, Zorn, Saunders, 1996.

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