| 4/18/2024 12:49:41 PM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 71 | Title:
CALCULUS ENRICHMENT |
|
| Full Title:
Calculus Problem Solving Enrichment |
| Last Reviewed:4/8/2013 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 1.00 | Lecture Scheduled | .50 | 17.5 max. | Lecture Scheduled | 8.75 |
| Minimum | 1.00 | Lab Scheduled | 1.50 | 17.5 min. | Lab Scheduled | 26.25 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 2.00 | | Contact Total | 35.00 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 17.50 | Total Student Learning Hours: 52.50 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade or P/NP
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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Critical thinking for mathematics using first-semester calculus concepts: cooperative learning/study techniques, concept development and use of technology.
Prerequisites/Corequisites:
Concurrent Enrollment in MATH 1A
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Critical thinking for mathematics using first-semester calculus concepts: cooperative learning/study techniques, concept development and use of technology.
(Grade or P/NP)
Prerequisites:Concurrent Enrollment in MATH 1A
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
| Associate Degree: | Effective: | | Inactive: | |
| Area: | | |
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| CSU GE: | Transfer Area | | Effective: | Inactive: |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
| |
| CSU Transfer: | Transferable | Effective: | Fall 2003 | Inactive: | Fall 2019 |
| |
| UC Transfer: | | Effective: | | Inactive: | |
| |
| 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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Upon completion of course, students will be able to:
1. Apply critical thinking skills to the topics in first semester
calculus: limits and continuity, the derivative, applications of
the derivative, the integral, applications of the integral,
methods of evaluation
2. Discuss non-routine and open-ended calculus problems in
collaborative teams, verbalizing concepts and solution
strategies and constructing written solutions
3. Compare and contrast different approaches to problems, debating
the relative merit of each method
4. Use technology to solve problems
5. Develop collaborative working relationships with other students
6. Select an appropriate problem solving strategy for a given
situation
7. Adapt general problem solving techniques to specific applications
8. Judge different forms of solutions as being equivalent
9. Organize a portfolio of problem-solving situations and related
solutions
Topics and Scope
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I. Limits
A. Graphical & numerical approaches
B. Symbolic/algebraic approaches and limit laws
II. Derivatives
A. Average vs. instantaneous rate of change
B. Limit definition of derivative
C. Derivative from graphs and tables
D. Derivative of functions (polynomial, exponential, logarithmic,
trigonometric)
E. Derivative theorems (sum, difference, product, quotient, chain
rules)
F. Higher order and implicit derivatives
III. Applications of derivatives
A. Optimization
B. Related rates
C. Curve sketching
D. Mean Value Theorem
IV. Integrals
A. Antiderivatives
B. Definite integrals
C. Fundamental Theorem of Calculus
D. Techniques of integration: substitution, parts, partial
fractions, tables & Computer Algebra System (CAS)
V. Applications of integrals
A. Area
B. Volume
C. Physics and economics applications
Assignments:
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1. Homework problem sets (5-16)
2. Oral and written presentations of mathematical problems and solutions (5-16)
3. Portfolio (0-1) of assignment sets and solutions
4. Oral and written tests (0-5)
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 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
60 - 100% |
| Homework problems; oral and written presentations | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
0 - 0% |
| None | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
0 - 20% |
| Objective examinations (multiple choice, true/false, matching items, completion) | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 20% |
| Portfolio of assignments | |
Representative Textbooks and Materials:
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Instructor prepared materials
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