MAT 272

CALCULUS II

Instructor: R Griffith Office: WM209 Office Phone: 614-8290

Office Hours: As posted.

TEXT: Larson, Ron, Robert Hostetler, and Bruce Edwards, Calculus: Early Transcendental Functions, Third Edition, New York, Houghton-Mifflin Company, 2003.

CATALOG DESCRIPTION:

Applications of basic integration, Integration Techniques, L’Hopital’s Rule, Improper Integrals, Infinite Series and Series Tests.

PREREQUISITE:

Calculus I (Math 271) with a minimum grade of C.

Four Hours Credit

I. PURPOSE: Calculus 272 is the second part of a three-part course of Calculus.

This course is intended to:

A. Equip students with a working knowledge of the integral calculus.

B. Prepare students for more advanced studies in Natural Sciences and further mathematics.

II. OBJECTIVES OF THE COURSE:

A. General learning objectives

1. To acquaint students with the utility of definite integrals by presenting many applications.

2. To provide a systematic study of integration which completes the calculus of functions of one real variable.

3. To study advanced integration techniques.

4. To initiate a treatment of solid analytic geometry and the calculus of functions of more than one variable.

B. Specific behavioral objectives

At the conclusion of this course the student should be able to:

1. Use integral and differentials involving Trigonometric functions to solve problems of area, distance, and work.

2. Use integrals to calculate volumes and areas of solids of revolution.

3. Calculate centroids of plane and solid figures.

4. Calculate fluid pressures.

5. Be able to identify and compare different types of Sequences and Series.

6. Determine if a series is divergent or convergent.

7. Show how to write a Taylor or MacLaurin polynomial for a particular series.

III. TOPICS TO BE COVERED

A. Applications of integration

1. Area of a region between two curves

2. Volume

3. Arc length and surfaces of revolution

4. Work

5. Fluid pressure and fluid force

B. Integration techniques

1. Basic integration rules

2. Integration by parts

3. Trigonometric integrals

4. Trigonometric substitution

5. Partial fractions

6. Integration by tables and other techniques

7. Indeterminate forms and L’Hopital’s rule

8. Improper integrals

C. Infinite series

1. Sequences

2. Series and convergence

3. The integral test and p-series

4. Comparison test

5. Alternating series

6. The ratio and root tests

7. Taylor polynomials and approximations

8. Power series

9. Representation of functions by power series

10. Taylor and Maclaurin series

IV. INSTRUCTIONAL PROCEDURES

A. Lectures on all items with accompanying demonstrations utilizing the chalkboard and audio visuals.

B. Reading assignments

C. Daily assignments of problems and follow-up discussion.

D. Class discussion of details of problems and techniques of solution.

V. RESPONSIBILITIES OF THE STUDENT

A. Class attendance: As in all mathematics classes, attendance is extremely important. Attendance for this class will directly affect the grade.

B. Prompt and timely execution of reading and problem assignments.

NOTICE!!! The basic problem assignment is the set of odd problems in each set of exercises.

VI. EVALUATION

A. Four regular tests at 100 points each: 400 points

B. Quizzes and special assignments 100 points

C. Comprehensive final examination 150 points

D. Attendance and Deportment 100 points

Total points 750 points

E. Grade Determination: Divide the total points achieved by the total of points available to get a percentage.

PERCENTAGE GRADE

90-100 A

80-89 B

70-79 C

60-69 D

BELOW 60 F

ATTENDANCE POLICY:

Regular attendance is essential to realize the purposes and objectives of this course. You are expected to attend every class! If circumstances beyond your control require you to be absent from class, it is your responsibility to obtain the information about what you missed.

VII. STUDENTS WITH DISABILITIES

Lee University is committed to the provision of reasonable accommodations for students with disabilities as defined in Section 504 of the Rehabilitation Act of 1973. Students who think they may qualify for these accommodations should notify their instructor immediately. Special services are provided through the Academic Support Program.

VIII. ACADEMIC INTEGRITY

As a Christian community of scholarship, we at Lee University are committed to the principles of truth and honesty in the academic endeavor. As faculty and students in this Christian community, we are called to present our academic work as an honest reflection of our abilities; we do not need to defraud members of the community by presenting others’ work as our own. Therefore, academic dishonesty is handled with serious consequences for two fundamental reasons: it is stealing – taking something that is not ours; it is also lying – pretending to be something it is not. In a Christian community, such pretense is not only unnecessary, it is also harmful to the individual and community as a whole. Cheating should have no place at a campus where Christ is King because God desires us to be truthful with each other concerning our academic abilities. Only with a truthful presentation of our knowledge can there be an honest evaluation of our abilities. To such integrity, we as a Christian academic community are called.

IX. READING LIST

A. Required reading: Textbook and various short assignments.

B. Supplemental bibliography: none