Current reading and homework assignments

• Due Thursday, 4 December:
  Reading:
  • SHE, Sections 18.7-18.10.
  • Review the lecture of 26 November
  • Take a break and look at some videos:
    1. I will derive. (Thanks, Sarah!)
    2. The derivative song. (Thanks, Kenneth!)
    3. incredible aeronautics.
  • Review the lecture of 1 December
  • Review the lecture of 3 December
  • Optional but helpful, Cain-Herod, chapters 17-18
  Exercises:
  • SHE, Section 18.7, # 3-6,16-22,27-29,33,34, 45-48 (Hand in at least 6 even-numbered exercises.)
  • SHE, Section 18.8, # 4-14,16,17,21,22,25,26,31,32 (Hand in at least 6 even-numbered exercises.)
  • SHE, Section 18.9, # 2-6,10-12,16,23,24 (Hand in at least 6 even-numbered exercises.)
  • SHE, Section 18.10, # 2-6,10-16 (Hand in at least 6 even-numbered exercises.)

Current contests

Unless otherwise specified, entries should be submitted to the professor, either in hard copy or by e-mail in a universally readable format, such as pdf.

Past contests

1. Due 4 September. One point for the most creative and interesting curve drawn with software, such as Mathematica's ParametricPlot command. Submit both a graphic file (pdf, jpg, pict, png) and the code used by e-mail.
   Congratulations to Jacob Schloss for the curve appearing in the lecture notes for 10 September
2. Due 4 September. One point for the most informative on-paragraph explanation expanding on material from the lectures connected with curves. This should be submitted to the T-Square archive with a copy to Prof. H.
   Sorry, no winners!
3. Due Thursday, 9 October. This contest has to do with the "funky example" shown in class. Find a formula for a saddle like that one. What do the gradient and Hessian matrix tell you about the funky saddle point at the origin x = y = 0? Carefully discuss the tangent planes and the (3D) normal vectors at points near the origin.
   Congratulations to Jacob Schloss for writing about the monkey saddle.
4. Due 14 November. Write a report on one of the fancy coordinate systems from the lecture of 5 November, either elliptic or bipolar. In your report, include:
   1. The "dictionary" relating the curvilinear coordinates in terms of the Cartesian coordinates and vice versa.
   2. An integral using the fancy coordinates. (Evaluate it.)
   3. Mention of some practical or geometric applications
   Sorry, no winner this time.
5. Due 25 November. What are the best math videos on the net or on DVD that are related to vector calculus? Send in complete link or bring in the (legal) DVD. We screened two winners on Wednesday the 26th:
   • I will derive, courtesy of Sarah Gao.
   • The derivative song, courtesy of Kenneth Stewart, who also showed a trailer for the movie Pi.

Past homework assignments

• Due Monday, 18 August:
  Reading:
  • As necessary, review basic vectors, for example reading SHE (Salas, Hille, and Etgen), Chapter 13.
  • SHE, Sections 14.1-14.2
  Exercises:
  • In the future, exercises will be assigned here to help you prepare for Thursday quizzes. On Tuesday, 19 August, we will begin a week of calculus and vector "boot camp" in recitation. You should come prepared to knock off the following sorts of calculations:
    1. Find the dot product of two vectors.
    2. Find the cross product of two vectors.
    3. Given one vector, find a second, nonzero vector that is perpendicular to it.
    4. Find the angle between two vectors.
    5. Find the projection of one vector onto another.
    6. Find the closest point on a line to a given point not on the line.
    7. Use vectors to find the area of a paralellogram.
    8. Use vectors to find the volume of a paralellopiped.
    9. Know the product, chain, and quotient rules of calculus and how to use them.
• Due Thursday, 21 August:
  Reading:
  • SHE, Sections 14.3
  • Review the lecture of 18 August
  • Review the lecture of 20 August.
  Exercises:
  Reminder - You must hand in the exercises. However, your grade will depend on Thursday's quiz, which will be on problems only slightly different from assigned homework problems.
  • SHE, Section 14.1, # 1-4,12,16,22,31,34,40,44 (Hand in at least 6 of these.)
• Due Thursday, 28 August:
  Reading:
  • Watch GT's recruiting video exemplifying J.S. Coon's adage that "Engineering is common sense first, and mathematics next." Except for the part about common sense.
  • SHE, Sections 14.2-14.5
  • Optional, but helpful, see Chapter 4 of Cain and Herod's on-line vector-calculus text
  • Review the lecture of 20 August
  • Review the lecture of 25 August
  • Review the lecture of 27 August (as of that evening)
  • Optional, in case you want more review of vector algebra, read the first two chapters of Cain and Herod's on-line vector-calculus text
  • (Optional) View a video about cell phones in class, and another one about laptops (you might want to skip to time 2:02).
  Exercises:
  • SHE, Section 14.2, # 4-8,16,18,20,21,22,26,32,34 (Hand in at least 5 even-numbered ones.)
  • SHE, Section 14.3, # 4-8,9,14-17,22-24,31-34,38,40 (Hand in at least 5 even-numbered ones.)
  • SHE, Section 14.4, #2,4,10 (Hand in 2 of these.)
• Due Thursday, 4 September:

  No assignments were collected on this day. Instead, there was an hour-long test.

  Reading:
  • SHE, Sections 14.4-14.5 (as far as Example 4 on p. 729)
  • Optional, but helpful, see Chapter 4 of Cain and Herod's on-line vector-calculus text
  • Review the lecture of 27 August
  • Review the lecture of 3 September
  Practice Problems: Note: Homework will not be collected on Thursday. These exercises are to help you practice for the test. Even better, do ALL the exercises in Chapter 14.
  • SHE, Section 14.4, # 11-16,22,23
  • SHE, Section 14.5, # 2,4,5,7,10,14-16,21,23,27,29-31,37
  • SHE, Chapter 14 review Exercises, #3,4,5,7,17,18,22,23,24,27,2829-33,35,43,45.
  • The bank of old tests by Prof. H has some tests that cover in part the material of Chapter 14. Look for filenames beginning T1.
  • The School of Mathematice has provided other sample tests for Math 2401 here.
• Due Thursday, 11 September:
  Reading:
  • SHE, Sections 14.5, 14.6, 15.1-15.4.
  • Solutions to the first test
    • green version
    • yellow version
  • Review the lecture of 3 September
  • Review the lecture of 8 September
  • Review the lecture of 10 September
  • Optional, but helpful, see Chapter 8 of Cain and Herod's on-line vector-calculus text
  Exercises:
  • Make sure you know how to solve any of the problems you missed or did not do on the first test.
  • SHE, Section 14.5, # 41-46. (Hand in at least 1 even-numbered exercise.)
  • SHE, Chapter 15.1, #1,2,13,14,32,35,36 (Hand in at least 2 even-numbered exercises.)
  • SHE, Chapter 15.2, #4-8,28-30,40,42,44 (Hand in at least 3 even-numbered exercises.)
• Due Thursday, 18 September:
  Reading:
  • SHE, Sections 15.4-15.6, 16.1-16.2.
  • Review the lecture of 15 September
  • Review the lecture of 17 September
  • Optional, but helpful, see Chapter 8 of Cain and Herod's on-line vector-calculus text
  Exercises:
  • SHE, Chapter 15.3, #2-5,8,9,12,13, 20-24,28-30,40 (Hand in at least 3 even-numbered exercises.)
  • SHE, Chapter 15.4, #1-15,33,42,44-46,50,57,58,60 (Hand in at least 5 even-numbered exercises.)
  • SHE, Chapter 15.5, #3-7,12-15 (Hand in at least 2 even-numbered exercises.
• Due Thursday, 25 September:
  There was a test on this date.
  Reading:
  • The test will cover SHE, Sections 14.5, 15.1-15.6, 16.1-16.4.
  • Review the lecture of 17 September
  • Review the lecture of 22 September
  • Review the lecture of 24 September
  • Optional, but helpful, see Chapter 8 of Cain and Herod's on-line vector-calculus text
  Practice Problems : Note: Homework will not be collected on Thursday. These exercises are to help you practice for the test. Even better, do ALL the exercises in Chapter 15 and Sections 16.1-16.4.
  • SHE, Chapter 15.6, #4-18,23,24,27,30
  • SHE, Chapter 16.1, #12-21,33-37.
  • SHE, Chapter 16.2, #1-4,9-11,15,18-20,23-25,32,37
  • SHE, Chapter 16.3, #1-3,7-13,25,27,29-33
  • SHE, Chapter 16.4, #3,5,7,11,15,21,24,31,34,35
  • Do the Chapter 15 Review exercises, especially 7-13, 17-19,33-38, 44
  Due Thursday, 2 October:
  Reading:
  • SHE, Sections 16.5-16.8.
  • Review the lecture of 29 September
  • Review the lecture of 1 October
  • Optional, but helpful, see Chapter 8 of Cain and Herod's on-line vector-calculus text
  • Solutions to the second test
    • Lavender version
    • Yellow version
  Exercises:
  • SHE, Section 16.5, # 2-4,10-12,15,24,27-30 (Hand in at least 5 even-numbered exercises.)
  • SHE, Section 16.6, # 4-8,16,19,20,23-26,28 (Hand in at least 5 even-numbered exercises.)
  • SHE, Section 16.7, # 4,6-8,15,18,20,21,24,25,33 (Hand in at least 5 even-numbered exercises.)
  • SHE, Section 16.8, # 3-6,14,18,21-24,29,30 (Hand in at least 3 even-numbered exercises.)
• Due Thursday, 9 October:
  Reading:
  • SHE, Sections 16.7-17.2.
  • Review the lecture of 6 October
  • Review the lecture of 8 October
  • Watch a video clip from last year's integration lecture. (A larger, high-res version is available here.)
  • For more entertainment, look at some Mathemagic
  Exercises:
  • SHE, Section 16.7, # 2-4,10-12,15,24,27-30 (Same as last week. Hand in at least 5 even-numbered exercises.)
  • SHE, Section 16.8, # 3-6,14,18,21-24,29,30 (Same as last week. Hand in at least 5 even-numbered exercises.)
  • SHE, Section 16.9, # 2-6,10-12,17,18,26-28 (Hand in at least 5 even-numbered exercises.)
• Due Thursday, 16 October:
  Reading:
  • SHE, Sections 17.1-17.3.
  • Review the lecture of 8 October
  • Watch a video clip from last year's integration lecture. (A larger, high-res version is available here.)
  • Review the lecture of 15 October
  • And for additional entertainment, look at How to turn a sphere inside out
  • Read about Lagrange
  Exercises:
  • SHE, Section 17.1, # 2-4,8-10,15,16 (Hand in at least 3 even-numbered exercises.)
  • SHE, Section 17.2, # 2-4,7-9,18-21. (Hand in at least 3 even-numbered exercises.)
  • SHE, Section 17.3, # 2-4,6-10,15,16,25-28 (Hand in at least 6 even-numbered exercises.)
• Due Thursday, 23 October:
  There was a test on the material in SHE Sections 16.5-17.4.
  Reading:
  • SHE, Sections 17.1-17.4.
  • Review the lecture of 20 October
  • Review the lecture of 22 October
  • Read Chapter 12 and Chapter 13, Sections 1 and 2, of on-line vector-calculus text
  Practice Problems: Note: Homework will not be collected on Thursday. These exercises are to help you practice for the test. Even better, do ALL the exercises in Chapters 16-17.
  • SHE, Section 17.3, # 29-39
  • SHE, Section 17.4, # 1-12,17,18,24,25,26,30,32.
  • SHE, Chapter 17 Review Exercises, #1-28.
• Due Thursday, 30 October:
  Reading:
  • Solutions to the third test
    • Green version
    • Yellow version
  • SHE, Sections 17.5-17.7.
  • Review the lecture of 27 October
  • Review the lecture of 29 October
  Exercises:
  • SHE, Section 17.5, # 2-5,10,15,20-22,28 (Hand in at least 5 even-numbered exercises.)
  • SHE, Section 17.6, # 1,5,8,10 (Hand in at least 2 exercises.)
  • SHE, Section 17.7, # 6-11,17-20,21-24 (Hand in at least 3 even-numbered exercises.)
• Due Thursday, 6 November:
  Reading:
  • SHE, Sections 17.7-17.10.
  • Review the lecture of 29 October
  • Review the lecture of 3 November
  • Review the lecture of 5 November
  Exercises:
  • SHE, Section 17.7, # 30-34,39,40,44-46,50-52 (Hand in at least 3 even-numbered exercises.)
  • SHE, Section 17.8, # 7,8,11-14,17,18,25-27,31-34 (Hand in at least 4 even-numbered exercises.)
  • SHE, Section 17.9, # 3-5,15-17,19-22,25-27 (Hand in at least 4 even-numbered exercises.)
  • Look up the latitude and longitude of
    • Atlanta
    • At least two cities named @hëns. (For some reason the GT server won't allow me to print this name properly!)
    • Your home town. If your home town is either Atlanta or @hëns, choose instead some distant place you know and love.
    Find the air distances between all pairs of these places.
  • SHE, Section 17.10, # 2-6,13-15,17,18,22-24 (Hand in at least 4 even-numbered exercises.)
• Due Thursday, 13 November:
  Reading:
  • SHE, Sections 17.10-18.4.
  • Review the lecture of 5 November
  • Review the lecture of 10 November
  • Review the lecture of 12 November
  Exercises:
  • SHE, Chapter 17 Review Exercises, #48-52 (Hand in at least 2 even-numbered exercises.)
  • SHE, Section 18.1, # 1-4,11,12,15,25,28,30 (Hand in at least 3 even-numbered exercises.)
  • SHE, Section 18.2, # 4,-8,12,13,18-20,26,27,29, 30 (Hand in at least 4 even-numbered exercises.)
  • SHE, Section 18.3, # 3,4,6 (Hand in at least 1 even-numbered exercise.)
  • SHE, Section 18.4, # 1-3,26-28,32,33 (Hand in at least 2 even-numbered exercises.)

• Due Thursday, 20 November:

  No assignments were collected on this day. Instead, there was an hour-long test

  Reading:
  • SHE, Sections 18.4-18.6.
  • Review the lecture of 12 November
  • Review the lecture of 17 November
  • Review the lecture of 19 November
  Optional but helpful, Cain-Herod, chapters 13-15
  • In case you are asking how much you'll need vector calculus in your future career, read this news story in The Onion.
  Practice Problems:
  • SHE, Section 18.5, # 2-8,18,19-24,31,32,36
  • SHE, Section 18.6, # 1-9,11,15,16,21
  • SHE, Chapter 17 Review Exercises # 29-37,39,48-52
  • SHE, Chapter 18 Review Exercises # 1-35 (odd)
  Due Thursday, 27 November:
  Reading:
  • Solutions to the fourth test:
    • white version
    • pink version
  • SHE, Sections 18.7-18.8
  • Review the lecture of 19 November
  • Review the lecture of 24 November
  • Optional but helpful, Cain-Herod, chapter 17
  Exercises: Nothing! Have a Happy Thanksgiving

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