| 12/22/2024 3:48:23 AM |
| 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
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:
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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: |
| | 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.
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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