2009.31 - Mathematics (MATH) 219: Calculus for Engineering Technology, Course Outline

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Maui Community College
Course Outline
1. Alpha
MATH Number
219
Course Title
Calculus for Engineering Technology
Credits
3
Department
STEM Author Alf Wolf, Dr. Jung Park, Mark Hoffman
Date of Outline
10/06/2009
Effective Date Fall 2010
5-year Review Date Fall 2015
2. Course Description:
Studies mathematical concepts and procedures useful in the study of
engineering technology. Utilizes the capabilities of software such as MATLAB and its applications to
find and visualize solutions to technical and engineering problems. Includes hands-on engineering
mathematics examples. Utilizes vectors, integral and differential calculus in two and three dimensions.
Cross-list
Contact Hours/Type
3hr. lecture
3. Pre-requisites
MATH 107 or 140 or higher; PHYS 105 or higher; and ETRO 112, all with
grade C or better, or consent.
Pre-requisite may be waived by consent
Co-requisites
4. Function/Designation
AAS Program
BAS Other
no
PHYS 219 and ETRO 305
Recommended Preparation
AS Program
yes
none
AA Category
Category
List Additional Programs and Category:
Category
Other
Developmental/Remedial
Additional Category
List Additional Programs and Category:
List Additional Programs and Category: Engineering Technology
Other/Additional: Explain:
See Curriculum Action Request (CAR) form for the college-wide general education student learning
______________________________________________________
______________________
Chancellor
Approval Date
Revised 6/28/2016
Course Outline, page 1
2
outcomes (SLOs) and/or the program learning outcomes (PLOs) this course supports.
This course outline is standardized and/or the result of a community college or system-wide agreement.
Responsible committee:
5. Student Learning Outcomes (SLOs): List one to four inclusive SLOs.
For assessment, link these to #7 Recommended Course Content, and #9 Recommended Course
Requirements & Evaluation. Use roman numerals (I., II., III.) to designate SLOs
On successful completion of this course, students will be able to:
I. Utilize vector, integral and differential calculus concepts and procedures to solve technical problems
in electronic circuits.
II. Utilize MATLAB or software simulation and modeling tools to find and visualize solutions.
III. Describe control systems as differential and integral calculus equations.
IV. Demonstrate an understanding of the mathematical principles used in finite element analysis.
6. Competencies/Concepts/Issues/Skills
For assessment, link these to #7 Recommended Course Content, and #9 Recommended Course
Requirements & Evaluation. Use lower case letters (a., b.…zz. )to designate competencies/skills/issues
On successful completion of this course, students will be able to:
a. Describe concepts related to the application of differential calculus in electronics engineering
technology.
b. Describe concepts related to the application of integral calculus in electronics engineering technology.
c. Apply linear algebra, integral calculus, and differential calculus to control system analysis.
d. Use engineering software tools to solve calculus applications in engineering technology.
e. Use engineering software tools to solve finite element analysis problems in engineering technology.
f. Utilize integral and differential calculus to describe electromagnetism concepts in Physics.
g. Describe engineering concepts using the symbols and notation of vector calculus.
7. Suggested Course Content and Approximate Time Spent on Each Topic
Linked to #5. Student Learning Outcomes and # 6 Competencies/Skills/Issues
Differential calculus applications to current and Ohm's Law (1-2 weeks), (I, III, a, b, d, e)
Integral calculus applications to capacitive circuits (1-2 weeks), (I, II, III, a, b, d, e)
Integral calculus applications to inductive circuits (1-2 weeks), (I, II, III, a, b, d, e)
Differential calculus of vector fields ( 2-3 weeks), (II, III, a,b,d, f, g )
Vector integral calculus (2-3 weeks), (III, IV, c, d, e, g)
Maxwell's equations (3-4 weeks), (II, III, IV, f , g)
Control system theory and proportional, integral, differential controllers (2-3 weeks), (I, II, III, c, d)
Principles of finite element analysis (2-3 weeks), (I, II, IV,e)
8. Text and Materials, Reference Materials, and Auxiliary Materials
Appropriate text(s) and materials will be chosen at the time the course is offered from those currently
available in the field. Examples include:
1. D. Hughes-Hallett, "Calculus: Single and Mutivariable", 5/E, Wiley, 2008, ISBN0470089148
Revised 6/28/2016
course outline
3
2. H.M. Schey,"Div, Grad, Curl, and All That", 4/E, W. W. Norton & Company, 2005, ISBN
0393925161
Appropriate reference materials will be chosen at the time the course is offered from those currently
available in the field. Examples include:
D. Giancoli, "Physics for Scientists & Engineers with Modern Physics", 4/E, Prentice Hall, 2008,
ISBN0131495089
Appropriate auxiliary materials will be chosen at the time the course is offered from those currently
available in the field. Examples include:
Software: DERIVE and MATLAB
Materials:
Text(s) may be supplemented with:
Accompanying practice set if available
Articles and/or handouts prepared by the instructor
Appropriate films, videos or internet sites
Television programs
9. Suggested Course Requirements and Evaluation
Linked to #5. Student Learning Outcomes (SLOs) and #6 Competencies/Skills/Issues
Specific course requirements are at the discretion of the instructor at the time the course is being offered.
Suggested requirements might include, but are not limited to:
Examinations (written and/or oral)
In-class exercises
Homework
Quizzes
Projects/research
40-60% (I, II, III, IV, a, b, c, d, e, f , g)
20-30% (I, II, III, IV, a, b, c, d, e, f, g)
10-20% (I, II, III, IV, a, b, c, d, e, f, g)
10-20% (I, II, III, IV, a, b, c, d, e, f, g)
0-30% (I, II, III, IV, a, b, c, d, e, f, g)
10. Methods of Instruction
Instructional methods will vary considerably by instructor. Specific methods are at the discretion of the
instructor teaching the course and might include, but are not limited to:
Software simulation and modeling
Lecture, problem solving, and class exercises or readings
Class discussions or guest lecturers
Audio, visual or presentations involving the internet
Student class presentations
Group or individual projects
11. Assessment of Intended Student Learning Outcomes Standards Grid attached
12. Additional Information:
Revised 6/28/2016
course outline
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