Calculus of Vector-Valued Functions (FA25)

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Math 13: Calculus of Vector-valued Functions
Meetings: Kemeny 007 MWF 12:50-1:55
Tutorial sessions: TuThSun 7-9pm at Kemeny 242
X-hour: Tu 1:20-2:10
Instructor: Foster Tom
Office: Kemeny 318
Office hours: TuTh 9:30-11
Teaching Assistant: Rebecca Monterumisi
Office: Kemeny 218
Office hours: e-mail to make an appointment
Course textbook: 
X-hour: Tu 1:20-2:10 
We may occasionally use the X-hour for review sessions or to make up classes. You are expected to keep this time slot available throughout the rem.
Homework: There are two homework components: WebWork and written homework.
  • Webwork will consist of three small assignments every week, due the end of Sunday. You can access Webwork through Canvas. (The assignment for Webwork n is called Day (n+1) on Webwork). The first assignment is due the end of Friday September 19. 
  • Written homework will be due the end of every Sunday. It will be submitted through Canvas. The first written assignment is due the end of Friday September 19.

Exams: There will be two midterms and a final exam. 

  • Midterm 1 will be Wednesday October 8 in class.
  • Midterm 2 will be Wednesday October 29 in class.
  • The final exam will be Friday November 21 at 3pm in Kemeny 007.

Grading: Your score will be determined as follows:

  • Homework: 45% (15% Webwork, 30% written homework)
  • Exams: 55% (15% Midterm 1, 15% Midterm 2, 25% Final exam)

Note that the 'Total' column on the Canvas gradebook does not take this weighting into account, so you would have to calculate your current grade with this weighting yourself.

Course schedule:

The schedule may change so check regularly

Date Topic Homework/Exams Other notes
M Sept 15 Introduction, Review of functions of several variables
W Sept 17 5.1 Double integrals over rectangular regions
F Sept 19 5.2 Double integrals over general regions

Webwork 1 
M Sept 22 5.3 Double integrals in polar coordinates Homework 1
W Sept 24

5.4/5.5 Triple integrals, Cylindrical coordinates 
F Sept 26 5.5 Triple integrals in spherical coordinates Homework 2, Webwork 2,3,4
M Sept 29 Review of vectors: dot product, cross product, determinant Final day for the Non-Recording Option
W Oct 1 5.7 Change of variables in multiple integrals (part 1)
F Oct 3 5.7 Change of variables in multiple integrals (part 2) Homework 3, Webwork 5,6,7
M Oct 6 6.1 Vector fields
Tu Oct 7 Midterm 1 Review in X-hour
W Oct 8 Midterm 1
F Oct 10 6.2 Line integrals Homework 4, Webwork 8,9,10
M Oct 13 6.3 Fundamental theorem of line integrals (part 1)
W Oct 15 6.3 Fundamental theorem of line integrals (part 2)
F Oct 17 6.4 Green's theorem (part 1) Homework 5, Webwork 11,12,13
M Oct 20 6.4 Green's theorem (part 2)
W Oct 22 Midterm 2 Review
F Oct 24 No class Homework 6, Webwork 14,15,16
M Oct 27 6.6 Surface integrals (part 1) Final day for dropping a fourth course without 'W'
W Oct 29 Midterm 2
F Oct 31 6.6 Surface integrals (part 2) Homework 7, Webwork 17,18,19
M Nov 3 No class
W Nov 5 6.6 Surface integrals (part 3)
F Nov 7 6.7 Stokes' theorem (part 1) Homework 8, Webwork 20,21,22
M Nov 10 6.7 Stokes' theorem (part 2)
T Nov 11 6.8 The divergence theorem (part 1)
W Nov 12 6.8 The divergence theorem (part 2)
F Nov 14 Further directions Homework 9, Webwork 23,24,25
M Nov 17 Review Last day of classes
F Nov 21 No class Final exam at 3pm

 

Course Summary:

Course Summary
Date Details Due