# SRJC Course Outlines

 12/9/2023 5:00:38 PM MATH 1A Course Outline as of Fall 1999 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 1A Title:  CALCULUS 1 Full Title:  Calculus, First Course Last Reviewed:9/14/2020

 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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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.

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: 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: 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.  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.