We live in a multidimensional world... how can we analyze rates of change in more than one direction for the many objects that exist in 3 or more dimensions? That's what this course is about!



HW Assignments:


Did you complete the Calculus Web Tutorials over the summer? If not, you will need to complete the ones that you didn't do. They will help you review single-variable calculus, which you will need as a basis for learning the calculus of multivariable functions.

Your login name for the Quizzes should be your first and last name as listed with the registrar. Your password is whatever you choose the first time... be sure to remember it!

It's best to try to complete them early! I suggest doing as many as you can now, when you have more time at the beginning of the semester!

WebQuiz Update: There are 2 ways to avoid the login/logout problems that some have been experiencing:

  • 1. Make sure that you logout of WebQuiz after taking each quiz! There is the button at the bottom of each quiz that says "I'm finished taking quizzes".
  • 2. Or, go DIRECTLY to the WebQuiz site and login there whenever you want to take a quiz. However, to do this you'll need to remember which quizzes you want to take!
Also, on the honor system, keep a written record of the quizzes you passed, so that in case there are any bugs in the WebQuiz software, we can just go with your written record.

Grader's request: please write neatly and box all your answers!

  • W 9/1:
      Calculus WebQuizzes and READ Sections 1.1, 1.2, and 1.3.
  • F 9/3: HW#1
      READ 1.4
      DO the 2 assigned WebQuizzes (for review), and
      1.1 ( 12a, 19 ) 1.2 ( 16, 22, 30, 31, 34 ) 1.3 ( 6, 23, 24a )
  • M 9/6: HW#2
      READ 1.5
      DO the 2 assigned WebQuizzes (for review), and
      1.3 ( 7, 10 [& compare your answer with #11] )
      1.4 ( 5, 6, 8, 9 ) 1.5 ( 1 ) 1.8 ( 1, 5, 8 )
  • W 9/8: HW#3
      READ 1.6, 2.1
      DO 1.4 ( 12, 13, 17, 18, 21 ) 1.5 ( 3, 8, 24 ) 1.8 ( 7, 16 )
  • F 9/10: HW#4
      READ 2.2
      DO the 2 assigned WebQuizzes, and
      1.6 ( 9, 12, 16, 22 ) 1.8 ( 19, 20 ) 2.1 ( 1, 8, 14, 18 )
  • M 9/13: HW#5
      READ 2.3
      DO the 2 assigned WebQuizzes, and
      2.1 ( 13, 16, 19, 28, 29, 34, 36 ) 2.2 ( 9, 10, 19 )
  • W 9/15: HW#6
      READ 2.4
      DO 2.2 ( 28 ) 2.3 ( 2, 3, 6, 10, 12, 15, 16, 17, 21 )
  • F 9/17: HW#7 <--- please write HW number on your sheet!
      DO the 2 assigned WebQuizzes (for review), and
      READ 2.5
      2.3 ( 25, 29 ) 2.4 ( 2, 7, 8, 16, 18a ) + handout Wednesday
  • M 9/20: HW#8
      READ 2.6
      DO the 2 assigned WebQuizzes (for review), and
      2.5 ( 2, 3ab, 4, 6, 7, 10, 16 )
  • W 9/22: HW#9
      READ 4.1
      DO
      2.5 ( 18 ), 2.6 ( 4, 7, 10, 11, 14, 16, 20, 24 ), 2.7 ( 14 )
  • F 9/24: HW#10
      READ 4.2
      DO the assigned WebQuiz (for review), and
      4.1 ( 4, 5, 8, 9, 11, 14, 17, 19ab, 22, 27 )
  • M 9/27: HW#11
      READ 4.3
      4.2 ( 1, 4, 5, 8, 9, 18, 19, 22, 26, 29 )
  • W 9/29: HW#12
      READ 4.4
      4.2 ( 12, 16, 20 ) 4.3 ( 1, 7, 12, 13, 16 )
  • F 10/1: HW#13
      Problem A1. Prove that the Sqrt[3] is irrational.
      Problem A2. Prove that the sum of a rational (a/b) and an irrational I must be irrational.
      Problem A3. Write the converse and contrapositive of the following statement: "If my dog is sleepy, then he will not play ball."

  • W 10/6:
      TAKE-HOME EXAM due in class.
  • F 10/8: HW#14
      HANDOUT due. (If you didn't pick one up in class on Wednesday, there are some in the bin outside my door.)
  • M 10/11: HW#15
      READ 3.1, 3.2
      DO 3.1 ( 1, 2, 3, 4, 5, 7, 9, 11, 12, 17 )
  • W 10/13: HW#16
      READ 3.3
      DO 3.2 ( 1, 2, 3, 5, 9, 11, 12 ) 3.3 ( 2, 5, 8 ) <-- read ahead (a little)!
  • F 10/15: HW#17
      READ 3.4
      DO 3.3 ( 14, 15 ) 3.4 ( 1, 2, 3, 4, 5, 7, 9, 11 )
  • W 10/20: NO HW DUE. Enjoy your fall break!
  • F 10/22: HW#18
      READ 5.1, 5.2
      DO 5.1 ( 1, 2, 3, 6, 7, 9, 11 ) 5.2 ( 10, 25 )
  • M 10/25: HW#19
      READ 5.3, 5.4
      DO 5.2 ( 3, 5, 6, 13, 19) 5.3 ( 1, 9, 11, 12 )
  • W 10/27: HW#20
      READ 1.7, 5.5
      5.3 ( 7, 14 ) 5.4 ( 2, 4, 7, 8, 14, 21<--just do dy dx dz ) 1.7 ( 23 )
  • F 10/29: HW#21
      READ 5.5, 5.6
      1.7 ( 7, 11, 15, 18 ) 5.5 ( 13, 15, 23, 25, 27 )
  • M 11/1: HW#22
      READ 5.6, 6.1
      5.5 ( 3, 7b, 9, 11, 16, 21, 24 ) 5.6 ( 3, 9 ) <--read the section!
    REMINDER: Exam in one week!
  • W 11/3: HW#23
      READ 6.1, 6.2
      6.1 ( 1, 5, 6, 7, 11, 16, 20 ) 6.2 ( 1 ) + problems on handout (given Monday).
  • F 11/5: HW#24
      READ 6.2
      6.2 ( 3, 7, 8, 11 ) 6.4 ( 1a, 2a, 4, 17 )
  • M: no HW due. Study for your exam!
    The best way to study: WORK LOTS OF EXAMPLES/PROBLEMS!
  • W: Exam due.
  • F 11/12: HW#25
      Handout given in class Wednesday, or available outside my door.
  • M 11/15: HW#26
      Handout given in class Friday, or available outside my door.
      The Picture for Problem E should be:
      • GAMMA_A should be a square, centered at the origin, with corners (+/- 3, +/- 3) traversed counterclockwise.
      • GAMMA_B should be a circle of radius 1, centered at 6, traversed counterclockwise.
  • W 11/17: HW#27
      Handout given in class Monday, or available outside my door.
  • F 11/19: HW#28
      READ 6.3, 7.1
      DO 6.3 ( 1, 3, 6, 9, 12, 17 ) 6.4 ( 18 )
  • M 11/22: HW#29
      READ 7.2
      DO 7.1 ( 1, 2, 8, 9, 11, 12 )
  • W 11/24: HW#30
      READ 7.2
      DO 7.1 ( 5, 10, 16, 19 ) 7.2 ( 1 )
  • M 11/29: NO HW over BREAK! Enjoy!
  • W 12/1: HW#31
      READ 7.3
      DO 7.2 ( 2, 3, 7, 9, 11, 12, 15, 19 )
      Hints: (2a) (6*sqrt[6]-8)pi/3, (2b) 1/4.
      Problems (8-16): since it's the same surface, you can use same parametrizations. Can you appeal to symmetry or shortcuts?
  • F 12/3: HW#32
      READ 7.3
      DO 7.3 ( 1, 3, 4, 5, 10 )
      in 1,3,4 "verify" means compute both sides of Stokes and verify they are equal.
  • M 12/6: HW#33
      READ 7.3
      DO 7.3 ( 6, 9, 12, 14 ) 7.6 ( 22ab )
      in 6,9 "verify" means compute both sides of Gauss's theorem and verify they are equal.
      Hint on 12: cap the bottom of this bell shaped surface to enclose a region.
      Answers: [6.] 243 Pi/2, [12.] 0, [14.] (e/2)+4

No more graded HW's due. Begin reviewing for the final! An excellent way to study is do work old HW problems, and check solutions against the solutions posted online.