MAT 252 Generic Course Syllabus

MAT 252 GENERIC COURSE SYLLABUS

Effective Date: Fall 2000

Instructor:

Campus:

Room:

Office Hours:

Phone:

Course Prefix

Course Number

Course Name

Credit

Lecture

Lab

MAT

252

Calculus III

II.

Prerequisites:

MAT 251 with a grade of C or better.

III.

Course Description:

Course surveys topics of calculus for multivariable functions. Content focus is on vectors, functions of several variables, curves and surfaces, differentiation, partial derivatives, multiple integrals, and line integrals. Technology integrated throughout.

IV.

Course Objectives:

A. Perform and analyze vector operations in the plane and in space.

B. Analyze lines, planes and curves in space.

C. Perform calculus operations on curves.

D. Analyze and evaluate multivariable functions.

E. Perform differential calculus operations on multivariable functions.

F. Perform integral calculus operations on multivariable functions.

G. Evaluate line integrals.

H. Use technology for graphing, derivatives, and integrals.

Academic Integrity:

Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

cheating,

plagiarism (turning in work not written by you or lacking proper citation),

falsification and fabrication (lying or distorting the truth),

helping others to cheat,

making unauthorized changes in official documents,

pretending to be someone else or having someone else to pretend to be you,

making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

VI.

Outline of Topics:

A. Vectors

1. Geometric and algebraic review
2. Dot product
3. Cross product
4. Equations of lines and planes in R³

B. Calculus of curves

1. Parametric representation of curves in R³
2. Limits, continuity, and derivatives
3. Applications including motion, velocity, and acceleration
4. Integration and arc length
5. Tangent and normal vectors
6. Curvature

C. Fundamentals of multivariable functions

1. Surfaces
2. Contour plots
3. Cylindrical and quadratic surfaces

D. Differential calculus of multivariable functions

1. Limits and continuity of functions
2. Partial derivatives, differentials and the chain rule
3. Directional derivatives and gradients
4. Tangent planes and normal lines
5. Second derivative test and Lagrange multipliers
6. Applications involving optimization

E. Integral calculus of multivariable functions

1. The definite integral and Fubini's theorem
2. Triple integrals in Euclidean coordinates
3. Cylindrical and spherical coordinates
4. Applications including area, volume, average value, centers of mass
5. Change in variables and the Jacobia

F. Integrals over curves and surfaces

1. Line integrals
2. The Fundamental Theorem of Line Integrals
3. Div and Curl
4. Green's Theorem
5. Flux and Stoke's Theorem

G. Recommended Technology

1. Use of technology to manipulate vector quantities
2. Use of technology to differentiate vector functions and evaluate integrals.
3. Use of technology to graph R3 surfaces
4. Use of technology to evaluate partial derivatives
5. Use of technology to evaluate multiple integrals
6. Use of technology to evaluate vector quantities and integrals
7. Use of technology to evaluate vector quantities and integrals

VII.

Methods of Instruction:

(To be completed by instructor)

Methods of instruction can include lectures, discussion, demonstration, experimentation, group work, audiovisual aids, and regularly assigned homework. Techniques will emphasize critical thinking and applications. A TI-83 graphics calculator will be used for instructional purposes. Other technology will be used when appropriate.

VIII.

Course Practices Required:

(To be completed by instructor)

IX.

Instructional Materials:

Required Textbook:

Custom -- Wier - Thomas' Calculus Early Transendantals 11/e
ISBN: 0-536-52919-1
Publisher: Addison Wesley

Required Materials: A graphics calculator is required. A TI-83 or higher numbered model will be used for instructional purposes.

Methods of Evaluating Student Progress:

(To be determined and announced by the instructor)

Evaluation methods can include graded homework, chapter or major tests, quizzes, individual or group projects, calculator / computer projects, and a final examination.

XI.

Other Course Information:

Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Effective Beginning Term	Date:	Fall	2000	Ending Term	Date:
		(term)	(year)			(term)	(year)
Prepared by:	R. Diprizio & R. Sompolski				Date: Fall 1999
Reviewed by Department/ Program Chair	Rudy Maglio				Date:
Approved by Dean:	Edward Garcia				Date: