Northeastern State University

College of Mathematics, Science and Nursing

Department of Mathematics and Computer Science

Course Syllabus for Math 2614 CalculusI

PREREQUISITES: MATH 1513 and MATH 1613, or equivalent

CATALOG DESCRIPTION OF COURSE: Functions, limits, derivatives, applications of the derivative, the definite integral, the fundamental theorem of calculus and applications of integration.

COURSE PURPOSE: This course has been designated as an approved liberal arts course. It develops the framework of differentiation and integration in "The Calculus." It will prepare the student for further study in calculus and enable the student to pursue careers which require calculus.

EXPECTED COURSE OUTCOMES: The student will be expected to achieve the following objectives:

• Utilize basic college algebra and trigonometry skills.

• Calculate the limits of functions and be able to distinguish continuous functions.

• Replicate the theoretical development of derivatives.

• Acquire a working knowledge of basic differentiation techniques.

• Develop an understanding of applications of derivatives, including graphing, extreme value problems, and related rate problems.

• Interpret the relationship between derivatives and integrals using Riemann Sums and The Fundamental Theorem of Calculus.

• Acquire a working knowledge of basic integration, including integration by substitution.

INSTRUCTIONAL MATERIALS: (Required Textbook) Finney, Ross L. and George B. Thomas, Jr. Calculus (2^nd edition). Reading, Massachusetts: Addison-Wesley Publishing Company, 1994.

Recommended: Graphing Calculator TI- 83

INSTRUCTIONAL PROCEDURES: The expected course outcomes will be realized through a variety of instructional strategies. Those strategies include, but are not limited to, the following: lecture, expository-discussion, demonstration, and group activities. The instructor will integrate appropriate multi-media technology.

Calculus I

I. Prerequisites for Calculus

• Coordinates, Increments, and Lines

• Functions and Graphs

• Trigonometric Functions

• Circles and Parabolas

• Absolute Value

II. Limits and Continuity

• Limits of Function Values

• Limits Involving Infinity

• The Sandwich Theorem

• Functions

• Defining Limits Formally with Epsilons and Deltas

III. Derivatives

• Slopes, Tangent Lines, and Derivatives

• Differentiation Rules

• Velocity, Speed, and Other Rates of Change

• Derivatives of Trigonometric Functions

• The Chain Rule

• Implicit Differentiation and Fractional Powers

• Linearizations and Differentials

• Newton's Method

IV. Applications of Derivatives

• Related Rates of Change

• Extreme Values of Functions

• How y' and y" Determine the Shape of a Graph

• Graphs of Rational Functions-Asymptotes and Dominant Terms

• Optimization

• The Mean Value Theorem

• Antiderivatives, Differential Equations, and Modeling

V. Integration

• Estimating with Finite Sums

• Riemann Sums and Definite Integrals

• Basic Properties, Area, and the Mean Value Theorem for Integrals

• The Fundamental Theorem of Calculus

• Indefinite Integrals

• Integration by Substitution-Running the Chain Rule Backward

• Numerical Integration

ADA COMPLIANCE: If any member of the class feels that he/she has a disability and needs special accommodations, please advise the instructor of such disability at the first class attended.

INCLEMENT WEATHER / DISASTER POLICY: The following are basic premises for the inclement weather policy at Northeastern State University:

1. Classes are expected to be held if at all possible.

2. It is the student's responsibility to receive the information when weather is questionable.

3. Neither students nor faculty are expected to risk life or limb.

4. Faculty members are obligated to hold classes if the University is not closed, unless the faculty member is unable to get to campus.

Policy: During times of inclement weather, decisions concerning day classes will be made by 6:00 a.m. in order for the media to be notified and for students to receive the announcement before they leave home. Decisions concerning night classes will be made by 3:00 p.m.

The following media will be notified regarding closing of the campus:

Radio Stations: Television Stations:

KRMG 740 AM Tulsa KJRH Channel 2 Tulsa

KAYI 107 FM Tulsa KOTV Channel 6 Tulsa

KTLQ 1350 AM Tahlequah KTUL Channel 8 Tulsa

KEOK 102 FM Tahlequah KFSM Channel 5 Fort Smith

KBIX 1490 AM Muskogee Cable Channel 96 Tahlequah

KMMY 97 FM Muskogee

KVOO 1170 AM Tulsa

The automated attendant message on 918.456.5511 will be modified to include information concerning campus operations during inclement weather.