Mat-1.1620 Mathematics II

Program and exercises (Adams: Calculus, 6th Edition)

Exercise 1 for Mon 28.1. at 14.15 in U261
• (you may want to recall plane curves from Ch. 8)
• Sections 11.1-3, 11.2. is optional.
• Problems: 11.1.3, 11.1.8, 11.1.27, 11.3.1&2, 11.3.6, 11.3.13

Exercise 2 for Mon 4.2. at 14.00 in U261
• Read 12.1-3.
• Problems: 11.5.10 (elementary, if you use projections as was indicated last time), 12.1.20&21, 12.2.13 (use polar coord's: x=r*cos t, y=r*sin t and let r -> 0), 12.3.3&7, 12.3.13, 12.3.23, 12.3.27

Exercise 3 for Mon 11.2. at 14.15 in U261
• Read 12.4, 12.5 (skip Homogeneous functions), 12.6 (only pp. 672-3)
• Problems: 12.4.5, 12.4.11, 12.4.15, 12.5.3, 12.5.8, 12.5.15, 12.6.1, 12.6.7

Exercise 4 for Mon 18.2. at 14.15 in U261
• Read 12.7, from 12.8 only the "easy" cases needed for the exercises, 12.9.
• Problems: (from 5th or 6th Ed.) 12.6.13, 12.7.1, 12.7.7, 12.7.11, 12.7.15, 12.8.1, 12.8.13, 12.9.1&6 (polynomials of degree 3 are enough)

Exercise 5 for Mon 25.2. at 14.15 in U261
• Read 13.1-2.
• Problems: 13.1.1, 13.1.5, 13.2.5, 13.2.7, 13.2.9, 13.2.17
• Note on local max/min and solutions of the first three problems: pdf.

Exercise 6 for Mon 3.3. at 14.15 in U261
• Read 13.3 (pp. 720-724 and 727 only)
• Problems: We deal with some of the old problems 13.2.7, 13.2.9, 13.2.17
• New problems: 13.3.1, 13.3.7.
• Solutions: pdf.

• Note: No meeting on the exam week on 10.3.

Exercise 7 for Mon 17.3. at 14.15 in U261 (We'll also discuss a possible Maple-exercise)
• Read 14.1-3.
• Problems: 14.1.15&19, 14.2.1, 14.2.7, 14.2.9, 14.2.15, 14.3.3, 14.3.13
• Solutions: pdf.

• Note: No meeting (2nd Easter Day) on 24.3.

Exercise 8 for Mon 31.3. at 14.15 in U261
• Read 14.4-7. (From 14.7: center of mass and examples)
• Problems: 14.4.1, 14.4.3, 14.4.21, 14.5.5, 14.5.11, 14.6.15, 14.6.25, 14.7.21
• Solutions: pdf.
• Note: These are still included in the 2nd Partial Exam. The solutions are already available, so we can consentrate in the difficulties and deal with possible questions concerning the whole area covered.

Exercise 9 for Mon 7.4. at 14.15 in U261
• Read 15.1-4 except pp. 817-8.
• Problems: 15.2.5, 15.3.3, 15.3.11, 15.4.5, 15.4.7, 15.4.17
• Solutions: pdf.

Exercise 10 for Mon 14.4. at 14.15 in U261
• Read 15.5-6 and 16.1.
• Problems: 15.5.7, 15.5.22, 15.5.27, 15.6.1, 15.6.11, 16.1.4&5
• Solutions to some problems: pdf.

Exercise 11 for Mon 21.4. at 14.15 in U261
• Read 16.2-4.
• Problems: 16.2.12, 16.3.1, 16.3.5, 16.4.1, solve 15.6.1 (as in Exe 10) using the Divergence Theorem.
• Solutions: pdf.

Exercise 12 for Mon 28.4. at 14.15 in U261
• Read 17.1-3.
• Problems: 17.2.1, 17.2.7, 17.2.11, 17.3.1a.
• Solutions: pdf.
• After these, we'll continue in the computer class Y344 with Maple.

Exercise 13 for Mon 5.5. at 14.15 in U261
• Read 17.4-6.
• Problems: 17.4.3, 17.5.1, 17.5.7, 17.6.1, 17.6.5, 17.6.7
• Solutions: pdf.

Examinations

Problems and solutions:
• Exam 1.
• Exam 2, solutions.
• Exam 3.

• 1st exam on Feb 20th, 16-19. It will take place in the lecture hall "L" in the Main Building (please check from the information boards before the exam).
• Area covered:
  Adams 6th Ed: 11.1, 11.3, Chapter 12 without 12.9, without Maple and without p. 668, 675, 677-8, 703. From 12.8. we take only the cases considered in the exercises (on Mon 18th).
  Adams 5th Ed: 11.1, 11.3, Chapter 12 without 12.9, without Maple and without p. 737, 746, 648-50, 778-9. From 12.8. we take only the cases considered in the exercises (on Mon 18th).

• 2nd exam on Apr 1st, 16-19.
• Area covered:
  Exercise sessions 5-8.
  Adams 6th Ed: Chapters 13 and 14 without pp. 725-753.
  Adams 5th Ed: Chapters 13 and 14 without pp. 803-835.