Spring 2006

Calculus II (MAC 2312, Sections 8 & 10)

The objective of this course is to introduce students to more advanced topics in calculus and their applications. We shall look into such issues as advanced integration methods and differential equations.

Instructor : Dr. Ashwin Vaidya

Schedule : : Sec. 8 - Tue, Thu: 2-3:15pm, Fri: 1:25-2:15pm, Sec. 10: Tue,Thu: 9:30-10:45am, Fri: 9:05-9:55am

Classroom : 201 Love Building (Sec. 8) and 101 Love Building (Sec. 10)

Text : Calculus, James Stewart, 5th Edition.

Course Content :Chapters 7-11 of text book.

Office Hours : 205C Love Building, Tue and Thu, 11:00am-12:00 (or by appointment).

Email: : vaidya@math.fsu.edu (Please say "calculus 2" in the subject heading of your email otherwise I may not read your mail.)

Eligibility: : You must have a 'C-' or better in the prerequisite courses. Students with prior credit for college calculus may be required to reduce credit for MAC 2312. It is student's responsibility to check and prove eligibility.

Prerequisite: :You must have passed Calculus I (MAC 2311) with a 'C-' or better or have completed satisfactorily at least four hours of equivalent calculus courses.

Grading: :Grades will be based upon 3 tests during the term and the final exam. There will be occasional pop-quizzes also. The final total will be calculated according to the following formula: 3x(20%) Tests + (10%) Quizzes + (30%) Final Exam. The letter grades will be based on the following scheme: A:92-100, A-:90-92, B+: 88-90, B: 80-88, B-:78-80, C+: 75-78, C: 70-75, C-: 65:70, D:55-65, F: less than 55. The letter grades will be based upon the final total score of the student which may or may not be curved and is left to the instructors discretion. A grade of 'I' will not be given to avoid a grade 'F' or for additional study time. All exam schedules will be strictly adhered to.

Exam Policy: : No makeup exams will be given normally unless under extenuating circumstances. A missed test or quiz may be excused upon valid proof of absence. A valid missed test will be replaced by the final exam score and a valid missed quiz may be replaced with the score obtained from the next quiz. Please plan your activities and trips in such a way that it does not coincide with the tests. The dates for the exams are given below but the quizzes will be given at random, so please make sure to keep up your attendance. In case of any absences the student is responsible to obtain the notes for the class from a fellow classmate.

Test Dates: : Here are the dates for the Tests.

• Test 1: Thursday, February 16.
• Test 2: Thursday, March 16.
• Test 3: Thursday, April 13.
• Final Exam: Section 10 will have its final exam on Friday, April 28 from 12:30-2:30pm and Section 8 will have the final on Thursday, April 27 from 7:30-9:30am.

Homeworks: : Homework problems will be assigned but not graded. They meant to be practice problems for you for tests, quizzes and final exam. I will answer questions from homeworks on the test review days, during office hours and on certain other days during the semester, which be announced ahead of time in class so you may come prepared to ask questions. Here is a partial list of homework problems. There may be more problems added during the term. Please check the website regularly for updates.

• Sec. 7.1: 1-35 odd, 41, 42, 43, 44, 47
• Sec. 7.2: 1-29 odd
• Sec. 7.3: 1-45 odd
• Sec. 7.4: 1-47 odd
• Sec. 7.5: 1-71odd
• Sec. 7.7: 5, 13, 19, 21, 22, 45, 47, 48
• Sec. 7.8: 5-39 odd, 49-55 odd
• Sec. 8.1: 1-13 odd
• Sec. 8.2: 1-11 odd
• Sec. 9.4: 1, 3, 8, 9-15 odd, 19-22
• Sec. 10.1: 1-23 odd, 24
• Sec. 10.2: 1-19 odd, 25-43 odd
• Sec. 10.3: 1-45 odd
• Sec. 10.4: 1-13 odd, 17-35 odd, 45, 47
• Sec. 11.1: 3-39 odd, 52, 53, 55, 56, 59-62, 68, 71, 72
• Sec. 11.2: 11-33 odd
• Sec. 11.3: 3-27 odd
• Sec. 11.4: 3-31 odd
• Sec. 11.5: 5-19 odd, 23-29 odd
• Sec. 11.6: 3-27 odd
• Sec. 11.7: 1-38
• Sec. 11.8: 3-24
• Sec. 11.9: 3-12
• Sec. 11.10: 3-18

Honor Code: The academic honor code system of FSU is based on the premise that each student has the responsibility 1) to uphold the highest academic standards in the student's own work 2) to refuse to tolerate violations of academic integrity and the university community 3) to foster a high sense of integrity and social responsibility as part of the university community. Please note that any violation of the academich honor code will not be tolerated in class. Specifically any kind of plagiarism or cheating in examinations will be rigorously pusued by the instructor. For more details, you may read the FSU GENRERAL BULLETIN or the FSU STUDENT HANDBOOK or speak to the instructor about any questions that you may have.

American Disabilities act: Students with disabilities needing academic accomodation should register with the Student Disability Resource Center (SDRC) and provide documentation to that effect to the instructor. All this should be done within the first week of classes.

Interesting Links: Check out some of these links below.

• Calculus sites with examples and exercises

• The Fibonacci Sequence

• Some exercises on derivatives and graphs

• Calculus on the Web This site contains several useful interactive exercises on different topics in Calculus.

• Online Calculus tutorial : Here is another interesting online Calculus tutorial. In particular, pay attention to the interactive True/False quizzes and the summaries at the end of each chapter.

• Taylor Series : Some examples of Taylor Series.

• Linear Approximations: Some examples of linear approximations of functions.

• The Calculus Page

• Practice problems on integration and substitution rule. Click here .

Schedule for the semester: Here is a brief outline of the topics to be covered this semester.

• Week 1(Jan.9-Jan.13): Outline and review.
• Week 2(Jan.16-Jan.20): Integration by parts.

Practice Problems for Test 2:

• Section 8.1: 2,3,4,9,14,15,17,18
• Section 8.2:5,7,8,12,,13,15
• Section 9.3:1-10, 11,12,14,15,16
• Section 9.5:3, Example 3 on page 627

  Layout of Final Exam:

  • Question 1: Sections 7.1-7.5
  • Question 2: Sections 8.1: 5,9,10,12,14,15, Section 8.2: 5,7,8,13,14
  • Question 3: Sec. 9.3: 1-10, 11,12,14,16,18, Sec.9.4:1,2,3,4, Sec. 9.5: 1,2,3
  • Question 4: Sequences and Series Sec. 11.1, 11.2 (Same lis of problems as for Test 3)
  • Question 5: Section 11.10: 3-18