Math 191-02 (40867) Fall 2006 CSUDH

Calculus I NSM D123 MW 5:30-6:50 PM, WH C155 F 4-5:30PM Dr. Sally Moite

Catalog Description (From Math Department sample syllabus)

Limits, continuity, derivatives, differentiation formulas, applications of derivatives, introduction to integration, fundamental theorem of calculus, inverse functions. MAT 191 meets for five hours of lecture per week.

Prerequisites MAT 153 (College Algebra and Trigonometry) or equivalent with a grade of "C" or better.

Objectives (From Math Department sample syllabus)

After completing MAT 191 the student should be able to

• Understand the four basic concepts of one-variable calculus; the limit, the concept of continuity, the derivative and the integral of a function of one variable
• Use the rules of differentiation to compute derivatives of algebraic and trigonometric functions
• Use derivatives to solve problems involving rates of change, tangent lines, velocity (speed), acceleration, optimization, and related rates.
• Investigate the graph of a function with the aid of its first and second derivatives: asymptotes, continuity, tangency, monotonicity, concavity, extrema, inflection points, etc.
• Understand the meanings of the indefinite integral and the definite integral of a function of one variable, and their relationship to the derivative of a function via the Fundamental Theorem of Calculus
• Use rules of integration including the Substitution Rule to evaluate indefinite and definite integrals
• Differentiate Exponential, Logarithmic, and Inverse Trigonometric Functions
• Use L’Hospital’s Rule.

Expected outcomes (From Math Department sample syllabus)

The student should be able to demonstrate through written assignments, tests, and/or oral presentations, that he or she has achieved the objectives of MAT 191.

Policies Students are expected to attend all sessions of the course, read the text, do and check all assigned problems, complete all work for which points are assigned. Schedule dates are approximate. Homework is due the session after a section is discussed in class, when even problems from the assignment, other than the problem to hand in, may be put on the board. Each student is required to do four problems on the board during the term. Homework problems to be turned in will be accepted if they are late, but it is to the student’s advantage to turn them in promptly. Solutions that have errors or are incomplete may be returned for correction. Participation and attendance in the lab sessions is required. Certain lab sessions will have written reports to hand in. Tests will be given on the dates scheduled, and will cover the sections that have been discussed in class. There are no makeup tests. Students may miss one test in an emergency. There may be a bonus given to students who have completed all tests. All students must take the final.

Study Time It is expected that you will spend at least twice the in class hours studying for this class outside of class, that is, at least 10 hours a week. Make sure that you have planned sufficient study time in your weekly schedule for this and your other classes.

Academic Integrity (Part from Math Department sample syllabus) The student is expected to complete the work for this course independently. Cooperation on homework is encouraged, with the understanding that each student must individually master the material of the class. The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under “academic integrity”.) In accordance with these policies the instructor acknowledges that the material and examples for this course are taken or adapted from the course text or other similar books.

Disabled Student Services The student should contact the instructor and/or the Disabled Student Services (DSS) as early as possible for any accommodation needed. For example, an alternate test site can be arranged through that office.

References

C.H. Edwards, Jr. The Historical Development of the Calculus

William Dunham The Calculus Gallery- Masterpieces from Newton to Lebesque

Glenn James & Robert C. James Mathematics Dictionary

Math. Soc. Of Japan Encyclopedic Dictionary of Mathematics

Amer. Council of Learned Soc. Dictionary of Scientific Biography

CRC Concise Encyclopedia of Mathematics