| 12/27/2024 4:41:03 AM |
| Changed Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
MATH 16 | Title:
INTRO TO MATH ANALYSIS |
|
| Full Title:
Introduction to Mathematical Analysis |
| Last Reviewed:1/9/2024 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 4.00 | Lecture Scheduled | 4.00 | 17.5 max. | Lecture Scheduled | 70.00 |
| Minimum | 4.00 | Lab Scheduled | 0 | 6 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 4.00 | | Contact Total | 70.00 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 140.00 | Total Student Learning Hours: 210.00 | |
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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Exponential and logarithmic functions, limits, differential and integral calculus with applications, partial derivatives, and calculator techniques. Emphasis on applications in business and economics.
Prerequisites/Corequisites:
Completion of MATH 154 or higher (VE)
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Exponential and logarithmic functions, limits, differential and integral calculus with applications, partial derivatives, and calculator techniques. Emphasis on applications in business and economics.
(Grade or P/NP)
Prerequisites:Completion of MATH 154 or higher (VE)
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 140 | Business Calculus | SRJC Equivalent Course(s): MATH16 |
Certificate/Major Applicable:
Major Applicable Course
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon successful completion of the course, students will be able to:
1. Perform advanced operations with functions (using symbolic,
graphical, and numerical representations) and apply knowledge to
modeling problems.
2. Define and graph inverse functions.
3. Recognize, describe and utilize in graphing the characteristics of
polynomial, rational, algebraic, exponential and logarithmic
functions.
4. Solve equations graphically and algebraically.
5. Calculate limits and use limit notation.
6. Define the derivative and calculate derivatives of polynomial,
rational, algebraic, exponential, and logarithmic functions.
7. Use techniques of differentiation, including product, quotient and
chain rules.
8. Use derivatives as an aid to graphing, in optimization problems,
and to analyze business and economic applications.
9. Calculate antiderivatives.
10. Evaluate definite integrals using the fundamental theorem of
calculus.
11. Calculate limits and use limit notation with multivariable
functions.
12. Use partial differentiation and the method of LaGrange multipliers
in optimization problems.
Topics and Scope
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I. Functions
A. Symbolic, graphical, and numerical representations
B. Operations and composition
C. Inverse functions
D. Modeling with functions
II. Graphs of functions
A. Definition and characteristics
B. Graphical solutions and numerical solutions of equations
C. Graphs of polynomial, rational, algebraic, exponential and
logarithmic functions
D. Graphs of inverse functions
III. Differential calculus
A. Limits of functions
B. Derivatives (including exponential and logarithmic functions)
C. Techniques of differentiation (including product, quotient, and
chain rules)
D. Applications of the derivatives (including optimization)
E. Antiderivatives
IV. Integral calculus
A. The fundamental theorem of calculus
B. Integration by substitution
C. Tables of integrals
D. Applications of integration
V. Multivariable calculus
A. Multivariable functions and limits
B. Partial differentiation
C. Relative max/min in two variables
D. LaGrange multipliers
Assignments:
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1. Reading outside of class (approximately 0-50 pages per week)
2. Homework problem sets (10-30)
3. Exams (3-7) and quizzes (0-30)
4. Projects (e.g. computer exploration or game analysis) (0-2)
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
5 - 20% |
| Homework problem sets | |
| 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
70 - 95% |
| Objective exams and quizzes | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 10% |
| Projects | |
Representative Textbooks and Materials:
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Calculus With Applications (9th ed.). Lial, Margaret; Greenwell, Raymond;
Ritchey, Nathan. Pearson 2008.
Calculus And Its Applications (12th ed). Goldstein, Larry; Lay, David;
Schneider, David. Prentice Hall 2010.
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