MAT 250 Generic Course Syllabus

MAT 250 GENERIC COURSE SYLLABUS

Effective Date: Fall 2000

Instructor:

Campus:

Room:

Office Hours:

Phone:

Course Prefix

Course Number

Course Name

Credit

Lecture

Lab

MAT

250

Calculus I

II.

Prerequisites:

MAT 149 or both MAT 140 and MAT 122, all with grades of C or better or an appropriate score on the OCC Mathematics Assessment Test.

III.

Course Description:

Course is first in calculus and analytic geometry. Content focuses on limits, continuity, derivatives, indefinite integrals and definite integrals, applied to algebraic, trigonometric, exponential and logarithmic functions, and applications of differentiation and integration. Technology integrated throughout course.

IV.

Course Objectives:

A. Understand the concept of limit.

B. Understand the concept of continuity.

C. Understand the concept of derivative.

D. Evaluate derivatives of algebraic, trigonometric, exponential and logarithmic functions.

E. Use derivatives to solve optimization problems, motion problems, and problems involving rates of change.

F. Use derivatives to analyze functions and their graphs.

G. Understand the concepts of indefinite integral and definite integral

H. Evaluate indefinite and definite integrals.

I. Use definite integrals to find area, average functional value, distance traveled, and total change.

J. Use technology for finding limits, 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. Functions and Limits

1. Functions and their graphs
2. Operations with functions
3. Limits
4. Infinity and limits
5. Continuity

B. Derivative

1. Definition of the derivative
2. Differentiation rules for sums, products and quotients of functions
3. Algebraic, trigonometric, exponential and logarithmic functions and their derivatives
4. The Chain Rule
5. Parametric equations and their derivatives
6. Higher order derivatives
7. Implicit differentiation
8. Linear approximations of functions

C. Applications of the Derivative

1. Local extrema of functions
2. Increasing/decreasing functions and their first derivative
3. Concavity and the second derivative
4. Curve sketching
5. Graph the derivatives to find local extrema and inflection points
6. Optimization problems
7. Rate of change
8. Newton's Method

D. Definite Integral

1. Rectangular and trapezoidal approximations for area under curve
2. Sigma notation
3. Definition and properties of the definite integral
4. Evaluating of definite integrals
5. Evaluating antiderivates
6. The Fundamental Theorem of Calculus
7. Evaluating integrals by substitution

E. Applications of the Definite Integral

1. Area under curve
2. Average functional value
3. Distance and velocity
4. Area between two curves

F. Recommended Technology

1. Graphically, numerically and/or symbolically find limits
2. Graphically, numerically and/or symbolically find derivatives
3. Evasluate integrals numerically and/or symbolically

VII.

Methods of Instruction:

(To be completed by instructor)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audiovisual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate. Use of a Computer Algebra System is recommended. Mathematica is available for use at the College at no charge.

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 TI-83 graphics calculator.

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:	G. Phillips				Date: 10/1999
Reviewed by Department /Program Chair	Rudy Maglio				Date:
Approved by Dean:	Edward Garcia				Date: