MATH 2262 (Sections B and
C) Analytic Geometry and Calculus II
Spring 2010
Catalog Description of the Course:
MATH 2262 - Analytic Geometry &Calculus II
Credits: 4.00
Prerequisite: MATH 2261. Integrals; exponential, logarith- mic, and inverse
functions; applications of calculus; parametric equations; polar coordinates;
sequences and series.
Lecture: 4.00 Lab: .00
College: College of Arts & Sciences
Department: Dept of Math/CS
Pre-requisites: MATH 2261 Minimum Grade: D or MATH 2261H Minimum Grade: D
VSU GENERAL EDUCATION OUTCOMES
4. Students will express themselves clearly, logically, and precisely in writing and in speaking, and they will demonstrate competence in reading and listening.
5. Students will demonstrate knowledge of scientific and mathematical principles and proficiency in laboratory practices.
7. Students will demonstrate the ability to analyze, to evaluate, and to make inferences from oral, written, and visual materials.
LEARNING OUTCOMES
In this course the student will learn the methods and applications of integral calculus and infinite series. Upon completion of the course, the intent of the instructor is that the student will be able to:
(1) Determine the appropriate method and
compute definite and indefinite integrals using techniques
that include: by
parts, partial fractions and trigonometric
substitution [4].
(2) Apply integral calculus to physical problems such as area and volume [4, 5, 7].
(3) Identify whether infinite sequences and series converge or diverge [4, 5].
(4) Represent functions as power series and apply to the approximation of functions [4, 5].
(5) Calculate and apply the derivative
and integral to functions represented parametrically
or by polar coordinates [4,
7].
| Class Meeting Time | Section B: 9:00 - 9:50 AM M/W;
9:30 - 10:20 AM T/R; WH 150 Section C: 2:00 PM - 2:50 PM M-R, BC 1025 |
| Instructor | Dr. Ashok Kumar |
| Office | 224 AH; 259-2042; akumar@valdosta.edu |
| Office Hours | 11 - 11:50 M-R; also by appointments. |
| Website | http://www.valdosta.edu/~akumar |
| Prerequisite | MATH 2261 |
| Textbook | Calculus, Early Transcendentals (6th Ed.) by James Stewart, Brooks/Cole |
| Course Coverage | Chapters 6-8, 10-11 |
| Grading Criteria | Grading Scale (in Percentage) | ||||||||||||||||
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Important Dates*:
| First Class Day | Monday, January 11th |
| Test 1 | Tuesday, February 2nd (Chapter 6 and 7.1) |
| Test 2 | Tuesday, March 2nd (Chapter 7) |
| Mid-Term Day | Thursday, March 4th (Last Day to Drop a Class Without Petitioning) |
| Spring-Break | Mon-Friday, March 15-19 |
| Test 3 | Tuesday, April 6th (Chapters 8, 10, and 11.1-11.3) |
| Test 4 | Thursday, April 29th (11.4 - 11.10) |
| Last Class Day | Monday, May 3rd |
| Final Exam | Section B: Thursday,
May 6th from 8:00 AM - 10:00 AM in WH 150 Section C: Wednesday, May 5th from 12:30 PM - 2:30 PM in BC 1025 |
*: Dates for Tests 1-4 are subject to
change. If there is any change, it will be announced in class
at least one
week prior to the new date.
Other
Timeline for the course
| Introduction and Review of Chapter 5 (5.4 - 5.5) | 1 hour |
| Applications of Integration (6.1- 6.5) | 7 hours |
| Techniques of Integration (7.1 - 7.5, 7.8) | 14 hours |
| Further Applications of Integration (8.1 - 8.2) | 4 hours |
| Parametric
Equations and Polar Coordinates (10.1 - 10.3, and 10.5) |
7 hours |
| Infinite sequences and Series (11.1 - 11.10) | 18 hours |
| Review For the Final | 1 hour |
The Student Success Center:
The Student Success Center is located in Langdale Hall. The main area of
the office is on
the
mezzanine level, above the Tech Shop.
Any
student who is enrolled in a class
at VSU
can use it and there is no charge
to the student. In addition to peer
tutoring, the center
has computers and copies of the instructor's solution manual. The
center is a good place to
study;
there is always someone in the center to answer your questions. I
strongly encourage you to
use
the center. The phone number of the center is 333-7570.
Dr. Chere
Peguesse, a faculty member in the Department of English, is
the
Director of the center.
Please feel
free to see her if you have any
suggestions/comments/complains
about the center.
Homework
| Section | Page Numbers | Problems |
| 6.1 | 420 | 1-27 (odd) |
| 6.2 | 430-431 | 1-29 (odd) |
| 6.3 | 436-437 | 3-25 (odd) |
| 6.4 | 440 | 1-11 (odd) |
| 6.5 | 445 | 1-11 (odd) |
| 7.1 | 457-459 | 1-19 (odd), 23-35 (odd), 43, 45, 47, 59, and 61 |
| 7.2 | 465-466 | 1-47 (odd), 55, 57, 61, and 63 |
| 7.3 | 472 | 1-29 (odd), 31(a), and 33 |
| 7.4 | 481-482 | 1-6 (all), 7-31 (odd), 39-45 (odd), and 48 |
| 7.5 | 488-489 | 1-51 (odd), 55-65 (odd), 69, and 73 |
| 7.8 | 515-516 | 1, 2, 5-39 (odd) |
| 8.1 | 530-531 | 1-17 (odd), and 33 |
| 8.2 | 537 | 1-15 (odd) |
| 10.1 | 626 | 1-15(odd) |
| 10.2 | 636-638 | 1-5 (odd), 9-19 (0dd), 37-47 (odd), 57-61 (odd), and 65 |
| 10.3 | 647-649 | 1-25 (odd), 29-35 (odd), 41, and 57-65 (odd) |
| 10.5 | 650-651 | TBA |
| 11.1 | 684-685 | 1-45 (odd), 55-65 (odd) |
| 11.2 | 694-695 | 1-33 (odd), 41-51 (odd) |
| 11.3 | 703-704 | 3-25 (odd) |
| 11.4 | 709 | 3-31 (odd) |
| 11.5 | 713 | 1 (a, and b), 3-19 (odd) |
| 11.6 | 719-720 | 1-33 (odd) |
| 11.7 | 722 | 1-27 (odd), 31-37 (odd) |
| 11.8 | 727 | 3-25 (odd), and 30 |
| 11.9 | 733 | 3-9 (all), 13, 14, 24-26 (all), and 27 |
| 11.10 | 746-747 | 3-9 (odd), 13-19 (odd), 29-33 (odd), 47, 49, 55, and 57 |