Math S212 8284

Instructor

Prof. Michael Larsen
Rawles Hall 303
Tel. 1-812-855-1064
E-mail mjlarsen@indiana.edu
Office hours to be announced.

Schedule

We will normally meet MWF at 1:25 P.M. Soyeon Lee will lead a recitation every week on Thursday, again in Ballantine 233, at 1:25 P.M.

Exams

There will be three hour exams and a final exam.

• Here is Exam 3.
• The final exam was held on Friday, December 17 at 2:45 P.M.

Homework

Weekly assignments will be posted here.

• Set 1
• Set 2
  • 1.6: 23, 28, 35, 38, 41, 49, 50, 63, 68
  • 3.6: 7, 20, 41, 44
  • 4.4: 7, 14, 16, 27, 38, 57
• Set 3
  • 7.1: 3, 6, 7, 9, 18
  • 7.2: 5, 10, 15, 20, 25, 30, 35
  • 7.3: 5, 10, 15, 19, 23, 30
  • 7.4: 5, 10, 15, 20, 25, 30, 35, 42
  • Bonus: Find the indefinite integral of x / (1 + sin x).
  • Remember there is an exam on Friday, September 24!
• Set 4
  • 7.5: 5, 10, 15, 20, 25, 31 (see page 509), 40, 45, 50, 56, 60, 70, 75
  • 7.7: 5, 10, 20, 30, 36
• Set 5
  • 7.8: 5, 10, 15, 21, 25, 27, 28, 35
  • 6.1: 5, 10, 15, 20, 25, 42
  • Bonus: Simpson's rule gives an exact answer when applied to polynomials of degree 3 or less. Can you describe a rule which gives an exact answer also for polynomials of degree 4?
  • Bonus: Integrate to find the "volume" of a four-dimensional ball of radius R.
• Set 6
  • 6.2: 5, 10, 16, 21, 35, 40, 55, 59
  • 6.3: 5, 10, 15, 20, 25, 30, 35, 40
  • 6.4: 3, 6, 11, 14, 18, 25
  • Bonus: Count the number of (say) .1 x .1 x .1 x .1 hypercubes in the 4-ball of radius 1 centered at the origin to estimate the volume of the 4-ball.
• Set 7
  • 6.5: 5, 10, 15, 18
  • 8.1: 5, 10, 15, 20, 31
  • 11.1: 9, 11, 14, 52, 55, 58, 61
  • 11.1: For 10, 13, and 35, find the limit and prove your value is correct by giving a formula for producing N given ε
  • 11.2: 15, 20, 25, 30, 38, 45, 49
• Set 8
  • Prepare for the exam on Friday, November 5
• Set 9
  • 11.3: 5, 10, 15, 20, 25, 32
  • 11.4: 5, 10, 15, 20, 25, 30, 38
• Set 10
  • 11.5: 5, 10, 15, 20, 25
  • 11.6: 5, 10, 15, 20, 25, 30, 34
  • Bonus: Give a convincing argument that the series 1+1/2-1/3+1/4+1/5-1/6+1/7+1/8-1/9+... diverges.
  • Prepare for the exam on Friday, November 19.
• Set 11 (Due the last day of class!)
  • 11.8: 5, 10, 15, 23, 26, 31
  • 11.9: 5, 10, 14, 25, 29
  • 11.10: 5, 10, 15, 22, 37, 41
  • 11.11: 5, 15, 18

Textbook

Calculus: Early Transcendentals, Fifth Edition, by James Stewart.

Syllabus

• Complex numbers and trigonometry: Appendix D, Appendix G, 10.3
• Inverse functions: 1.6, 3.6
• L'Hospital's Rule: 4.4
• Techniques of Integration: Chapter 7
• Applications of Integration: Chapter 6; Sections 8.1, 8.2.
• Sequences and Series: Chapter 11

Grading Policy

Your grade will be computed from six equally weighted components: homework average, three hour exams, and a final exam (which counts as two components). Your lowest component will be dropped and the rest averaged to produce your score for the course. From time to time I will assign bonus problems. Bonus problems do not count toward any homework set grade, but success on these problems indicates mastery of the material and will have good if unspecified effects on your grade. Failure to solve bonus problems will not hurt your grade, however.

There will be no make up exams. In cases of hardship, let me know of your absence in advance and I will see what accommodation can be made. In cases of emergency, make sure you can document the justification for your absence.

Calculators are not allowed on exams. They may be used, and may occasionally be useful, on homework; a basic calculator will be enough for this class.

Academic honesty is assumed as a matter of course. Cheating on exams will lead to an automatic grade of zero and other consequences.

Study Groups

Students are encouraged to form study groups of 2-5 people to discuss the homework. A group size of 3 or 4 is ideal. Study groups are also very important when preparing for exams. While students are strongly encouraged to work in groups on homework, each student is responsible for writing up his or her own solutions in his or her own words.