# SRJC Course Outlines

 6/16/2019 8:17:32 AM MATH 1A Course Outline as of Summer 2019 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 1A Title:  CALCULUS 1 Full Title:  Calculus, First Course Last Reviewed:4/14/2014

 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

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

Prerequisites/Corequisites:
Completion of MATH 27 or higher (MATH); OR Course Completion of MATH 25 and MATH 58; OR appropriate placement based on AB 705 mandates

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.

Prerequisites:Completion of MATH 27 or higher (MATH); OR Course Completion of MATH 25 and MATH 58; OR appropriate placement based on AB 705 mandates
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: BMC Communication and Analytical ThinkingMath Competency CSU GE: Transfer Area Effective: Inactive: B4 Math/Quantitative Reasoning Fall 1981 IGETC: Transfer Area Effective: Inactive: 2A Mathematical Concepts & Quantitative Reasoning Fall 1981 CSU Transfer: Transferable Effective: Fall 1981 Inactive: UC Transfer: Transferable Effective: Fall 1981 Inactive: C-ID: CID Descriptor: MATH 900S Single Variable Calculus Sequence SRJC Equivalent Course(s): MATH1A AND MATH1B

Certificate/Major Applicable: Major Applicable Course

Approval and Dates
 Version: 07 Course Created/Approved: 8/1/1981 Version Created: 11/8/2018 Course Last Modified: 6/13/2019 Submitter: Josh Adams Course Last Full Review: 4/14/2014 Version Status: Approved Changed Course Prereq Created/Approved: 4/14/2014 Version Status Date: 11/26/2018 Semester Last Taught: Version Term Effective: Summer 2019 Term Inactive:

COURSE CONTENT

Student Learning Outcomes:
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Upon completion of the course, students will be able to:
1.  State and apply basic definitions, properties, and theorems of first semester calculus.
2.  Calculate limits, derivatives, definite integrals, and indefinite integrals of algebraic and transcendental functions.
3.  Model and solve application problems using derivatives and integrals of algebraic and transcendental functions.

Objectives: Untitled document
Upon completion of the course, students will be able to:
1.  Calculate limits and use limit notation.
2.  Determine continuity of a function at a real value.
3.  Determine derivatives of polynomial, rational, algebraic, exponential, logarithmic, and trigonometric functions.
4.  Use techniques of differentiation, including product, quotient, and chain rules; determine derivatives implicitly and determine derivatives of inverse functions.
5.  Apply derivatives to graphing, optimization, and science problems.
6.  Determine antiderivatives of polynomial, rational, algebraic, exponential, logarithmic, and trigonometric functions.
7.  Use limits of Riemann sums to evaluate definite integrals to find areas.
8.  Evaluate definite integrals using the fundamental theorem of calculus.
9.  Use Trapezoidal and Simpson's Rules to approximate definite integrals.
10. Apply definite integration to compute area, volumes, and arc length, and to solve problems in science and related fields.
11. Evaluate integrals with the 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 of functions at real values
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, hyperbolic functions and inverses of functions
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
H. Indeterminate forms and L'Hospital's rule
IV. The Integral
A. Definite integrals as limits of 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 using Trapezoidal and Simpson's Rules
G. Evaluation by tables or computer algebra systems
V.  Applications of the Integral
A. Area
B. Volumes
C. Arc length
D. Other applications and modeling

Assignments:
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1.  Daily reading outside of class (20-50 pages per week).
2.  Problem set assignments from required text or supplementary materials chosen by the instructor (1-6 assignment sets per week).
3.  Quizzes (0-4 per week).
4.  Exams (3-8 per term) including final exam.
5.  Projects, for example, computer explorations or modeling activities  (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. Writing0 - 0% None 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 Solving5 - 20% Homework problems Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. Skill Demonstrations0 - 0% None Exams: All forms of formal testing, other than skill performance exams. Exams70 - 95% Final Exam: Multiple choice and free response exams; quizzes Other: Includes any assessment tools that do not logically fit into the above categories. Other Category0 - 10% Projects

Representative Textbooks and Materials:
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Calculus:  Early Transcendentals, 7 th edition.  Stewart, James.  Brooks/Cole, Cengage Learning:  2012.

OTHER REQUIRED ELEMENTS

 Student Preparation Matric Assessment Required: M Requires Math Assessment Prerequisites-generate description: U User Generated Text Advisories-generate description: NA No Advisory Prereq-provisional: N NO Prereq/coreq-registration check: Y Prerequisite Rules Exist Requires instructor signature: N Instructor's Signature Not Required BASIC INFORMATION, HOURS/UNITS & REPEATABILITY Method of instruction: 02 Lecture 99 Credit by Exam Area department: MATH Mathematics Division: 73 Science, Technology, Engineering & Mathematics Special topic course: N Not a Special Topic Course Program Status: 1 Major Applicable Course Repeatability: 00 Two Repeats if Grade was D, F, NC, or NP Repeat group id: SCHEDULING Audit allowed: N Not Auditable Open entry/exit: N Not Open Entry/Open Exit Credit by Exam: Y Credit by examination allowed Budget code: Program: 0000 Unrestricted Budget code: Activity: 1701 Mathematics-General OTHER CODES Disciplines: Mathematics Basic Skills: N Not a Basic Skills Course Level below transfer: Y Not Applicable CVU/CVC status: N Not Distance Ed Distance Ed Approved: N Non-credit category: Y Not Applicable, Credit Course Classification: Y Liberal Arts and Sciences Courses SAM classification: E Non-Occupational TOP code: 1701.00 Mathematics, General Work-based learning: N Does Not Include Work-Based Learning DSPS course: N NO In-service: N Not an in-Service Course

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