HomeMy WebLinkAboutMAT-282BERGEN COMMUNITY COLLEGE
DIVISION OF MATHEMATICS, SCIENCE AND TECHNOLOGY
DEPARTMENT OF MATHEMATICS
COURSE SYLLABUS
MAT-282 CALCULUS III
COURSE Calculus III is a study of vectors, partial differentiation, directional
DESCRIPTION: derivatives, gradients, multiple integrals, vector calculus, line integrals,
topics from vector analysis, and applications.
CREDITS/HOURS: 4 credits, 4 hours
PREREQUISITE: MAT-281 Calculus II with a grade of C or better or by permission of the
Department Chair
GENERAL EDUCATION
COURSE: Yes
STUDENT Upon successful completion of this course the student will be able to:
LEARNING
OBJECTIVES: 1. Use vectors in two and three dimensions and apply their properties.
2. Apply various types of functions including functions of several variables, vector
valued functions, and vector fields.
3. Compute partial derivatives of functions of two or more variables.
4. Use partial derivatives to find gradient vectors, equations of tangent planes, solve
maximum and minimum problems (both constrained and unconstrained).
5. Set up and evaluate double and triple integrals and use them to compute surface
areas and volumes. Use double and triple integrals to solve applied problems
involving centers of mass and moments of inertia.
6. Apply calculus concepts to problems involving vector fields including line integrals,
divergence, curl, and Green's Theorem, and use these concepts to solve problems in
physics.
ASSESSMENT Each of the above listed student learning objectives will be assessed by:
MEASURES: 1. Written assignments and/or quizzes.
2. Written examinations.
3. Other, as announced by the instructor.
COURSE GRADE: Students should refer to the instructor’s grading policy which will be distributed during
the first meeting of the class.
TEXTBOOK: Calculus, Early Transcendental Functions, 6e (6th Edition), Larson/Edwards,
Cengage Learning Publisher.
COURSE CONTENT:
TOPIC CHAPTER SECTIONS
Vectors and the Geometry of Space 11 All
Vector Valued Functions 12 All
Functions of Several Variables 13 1-9, (10 optional)
Multiple Integration 14 1-7, (8 optional)
Vector Analysis 15 1-8
REFERENCES: Anton, Calculus with Analytic Geometry, John Wiley & Sons
Schaum's Outline of Calculus, McGraw Hill
Shenk Calculus with Analytic Geometry, Goodyear
Swokowski, Calculus with Analytic Geometry, Prindle, Weber, and Schmidt
ELECTRONIC The Department of Mathematics prohibits the use of cell-phones, PDA’s,
DEVICES: laptops, headphones, IPODs and other such devices in mathematics classes
unless otherwise specified in the grading policy provided by the instructor at
the beginning of the semester.
FACULTY CLASS CANCELLATIONS may be found at http://www.bergen.edu/classcancellations
ABSENCE A list is also posted in a glass case near A-129, the main corridor on the first floor and
PROCEDURE: in Ender Hall. If a cancelled class is not listed, it should be reported to the Department
Office (A-327) or the Adjunct Office (C-107).
WEBSITE: Go to http://www.bergen.edu/academics/academic-divisions-departments/mathematics
for more information regarding the Mathematics Department.
STUDENT Learning Assistance Center Room: L-125 879-7489
SUPPORT Math and Science Walk-In Room: L-131 879-7489
SERVICES: Office of Specialized Services Room: L-115 612-5269
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