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)
4 Tests 400  Points
Homework and Quizzes 100  Points
Final Exam 150  Points
90 - 100 A
80-89 B
70-79 C
60-69 D
0-59 F

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

  1. If you miss a test for a valid reason, the score on the final exam will be used to fill in for the
    missed test. It is important that you provide me in writing the reason for missing the test. If
    you miss more than one test, a score of zero will be recorded for the second, third or the
    fourth missed test. There will be no make-up exams given in this course.
     
  2. If you miss a class, it is your responsibility to get notes from a fellow friend and complete the
    homework. It is a good idea to exchange phone numbers and/or e-mail addresses with a
    couple of students in the class.
     
  3. Please turn off your cell phones and pagers prior to coming to class.

  4. Attendance is expected for every scheduled class meeting. You are expected to come on time
    and stay for the full class period. A student who misses more than 20% of the class meetings
    is subject to receiving a failing grade in the course. Also, you need to be an active
    participant in class discussions.


  5. Homework assignments must be turned in at the beginning of the class on the due date. Late
    assignments will not be accepted and will receive a grade of  ZERO. If you know that you will
    be absent from the class on the date an assignment is due, turn in your assignment earlier or
    ask someone to turn in your work for you.

  6. Please bring a TI-83 calculator, textbook, papers, and pencils to every class meeting.
     
  7. The TI-83 calculator will be used in this course. You are allowed to use the TI-83 or an
    equivalent calculator on homework, tests, and the final examination. Please make sure
    that you don't have any formulas stored on the calculator when you are using it
    during an examination. If you have questions about this matter, see me before the
    first exam.  Your calculator is subject to inspection by me during any test or final
    examination
    .  

  8. Cheating on tests and/or final examination can result in total dismissal from VSU. Note that
    any talking during tests will be considered a form of cheating.

  9. Students requesting classroom accommodations or modifications because of a documented
    disability should discuss this need with me at the beginning of the semester. For additional
    information, please contact the Access Office for Students with Disabilities. The Access
    Office is located in Farber Hall and the phone number is 245-2498.
     

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