| 12/27/2024 12:57:36 AM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 8A | Title:
BRIEF CALCULUS I |
|
| Full Title:
Brief Calculus I |
| Last Reviewed:4/19/2010 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 3.00 | Lecture Scheduled | 3.00 | 17.5 max. | Lecture Scheduled | 52.50 |
| Minimum | 3.00 | Lab Scheduled | 0 | 6 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 3.00 | | Contact Total | 52.50 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 105.00 | Total Student Learning Hours: 157.50 | |
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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Limits continuity; differentiation; analytic geometry; maxima and minima; rates of change and differentials; integration; calculus for exponential and logarithmic functions; calculus of the trigonometric functions; applications. This sequence is intended for majors in the life sciences and social sciences. Students will not receive credit for both MATH 8A and MATH 1A.
Prerequisites/Corequisites:
MATH 27 (formerly MATH 57).
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Limits, differentiation, analytic geometry, integration, exponential and logarithmic functions, applications. For life and social science majors. Students will not receive credit for both Math 8A and Math 1A
(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: | Fall 2013
|
| Area: | B
MC
| Communication and Analytical Thinking
Math Competency
|
| |
| CSU GE: | Transfer Area | | Effective: | Inactive: |
| | B4 | Math/Quantitative Reasoning | Fall 1992 | Fall 2013 |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
| | 2A | Mathematical Concepts & Quantitative Reasoning | Fall 1993 | Fall 2013 |
| |
| CSU Transfer: | Transferable | Effective: | Spring 1992 | Inactive: | Fall 2013 |
| |
| UC Transfer: | Transferable | Effective: | Spring 1992 | Inactive: | Fall 2013 |
| |
| C-ID: |
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, and logarrithmic functions.
3. Use techniques of differentiation, including product, quotient,
and chain rules.
4. Determine antiderivatives of polynomial, rational algebraic,
exponential, and logarithmic functions.
5. Apply derivatives to graphing, optimization, and science
applications.
6. Evaluate definite integrals using the fundamental theorem of
calculus.
7. Apply definite integration to compute area, volume, arc length, and
solve problems in life sciences, economics, and related fields.
Topics and Scope
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1. Precalculus
The real number line and order; absolute value; exponents and
radicals; polynomials; rational expressions; functions; graphs;
limits; continuity; slope; distance.
2. The Derivative
Slope of a curve; rates of change; chain rule; higher order
derivatives; implicit differentiation; related rates.
Differentiation of algebraic, logarithmic and exponential functions.
Applications of the first and second derivative to curve
sketching, optimization problems, related rates and differentials.
3. The Integral
Antiderivatives and indefinite integrals; definite integral as
limit of sum. Integration of algebraic, logarithmic and
exponential functions. Method of integration; substitution.
Applications of the definite integral to area and volume.
4. Trigonometric Functions
Trigonometric functions and their graphs. Derivative and Integral
formulas for the trigonometric functions.
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. Among the choices could be:
BRIEF CALCULUS WITH APPLICATIONS.
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