SRJC Course Outlines

12/7/2023 5:13:23 AMMATH 1A Course Outline as of Fall 2008

Changed Course

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: 

Catalog Description:
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Limits and continuity, differentiation, applications of the derivative, integration, applications of the integral, methods of integration.

Completion of MATH 27 or completion of MATH 25 and MATH 58

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:Completion of MATH 27 or completion of MATH 25 and MATH 58
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP


Associate Degree:Effective:Fall 1981
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:
 CID Descriptor: MATH 900S Single Variable Calculus Sequence SRJC Equivalent Course(s): MATH1A AND MATH1B

Certificate/Major Applicable: Major Applicable Course


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.  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, and determine derivatives implicitly.
4.  Apply derivatives to graphing, optimization, and science applications.
5.  Determine antiderivatives of polynomial, rational, algebraic,
     exponential, logarithmic, and trigonometric functions.
6.  Evaluate definite integrals using the fundamental theorem of
7.  Use numerical integration to approximate definite integrals.
8.  Apply definite integration to compute area, volumes, and arc length,
     and to 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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I.    Limits and Continuity
      A. Definitions
           1. Limit
           2. Basic limit theorems
      B. Limits from graphs
      C. Continuity
II.  The Derivative
      A. Definition
      B. Difference quotients
      C. Slope of tangent line
      D. Velocity, acceleration and rates of change
      E. Product, quotient, and chain rules
      F. Basic differentiation formulas for algebraic, trigonometric,
          logarithmic, exponential, inverse trigonometric and hyperbolic
      G. Antiderivatives
III. Applications of the Derivative
      A. Implicit differentiation
      B. Mean value theorem
      C. Differentials
      D. Related rates
      E. Optimization
      F. Separable differential equations
      G. Other applications and modeling
IV. The Integral
      A. Riemann sums
      B. Definite and indefinite integrals
      C. Fundamental theorem of calculus
      D. Integration of polynomial, logarithmic, exponential, and
           trigonometric functions
      E. Integration by substitution
      F. Numerical integration
V.  Applications of the Integral
      A. Area
      B. Volumes
      C. Arc length
      D. Other applications and modeling
VI. Methods of Evaluation
      A. Integration by parts
      B. Partial fractions
      C. Use of tables or computer algebra systems

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1.  Daily reading outside of class (approximately 20-50 pages per week).
2.  Problem set assignments from required text(s) or supplementary
     materials chosen by the instructor (approximately 1-6 per week).
3.  Quizzes (approximately 0-4 per week).
4.  Exams (approximately 3-8 per term).
5.  Projects (for example, computer explorations or modeling activities,
     approximately 0-10 per term).

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%
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%
Homework problems
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.Skill Demonstrations
0 - 0%
Exams: All forms of formal testing, other than skill performance exams.Exams
70 - 95%
Multiple choice and free response exams; quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%

Representative Textbooks and Materials:
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Calculus:  Early Transcendentals (6th).  Stewart, James.  Thomson
Brooks/Cole:  2008.

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