Jay Pantone

John Wesley Young Research Instructor
Dartmouth College

jaypantone@dartmouth.edu


Math 13

This course is a sequel to Math 8 and provides an introduction to calculus of vector-valued functions. Topics include differentiation and integration of parametrically defined functions with interpretations of velocity, acceleration, arc length and curvature. Other topics include iterated, double, triple and surface integrals including change of coordinates. The remainder of the course is devoted to vector fields, line integrals, Green's theorem, curl and divergence, and Stokes' theorem.

  • Lectures:
    M, W, F, 11:30am - 12:35pm
    Kemeny 105 Tu, 12:15pm - 1:05pm (X-hour)
  • Tutorial:
    Su, Tu, Th, 7:00pm - 9:00pm
    Haldeman 028
  • Office Hours:
    Monday, 2:00pm - 3:00pm
    Kemeny 320 Wednesday, 10:00am - 11:00am
    Thursday, 10:00am - 11:00am
    3:00pm - 4:00pm
  • TA:
    Xingru Chen

Course Information

The official syllabus is here.

 
Homework Assignments

Announcements

Exams

Daily Calendar
# Date Topics Suggested HW
1 Sept. 12 Class Information
14.1: Functions of two or more variables
14.2: Limits and continuity in several variables
  (no limit computations, just broad ideas)
14.1: # 1, 5, 7, 13, 19, 25
14.2: # 9, 19, 21
  (for 19, 21 get your answer by using a computer to graph it)
2 Sept. 14 15.1: Integration in two variables (start) 15.1: # 3, 9, 15, 18, 19, 23, 27, 31, 35, 41, 45, 47
3 Sept. 16 15.1: Integration in two variables (finish)
15.2: Double integration over general regions (start)
15.2: # 5-7, 9, 11, 13, 17, 19, 23, 25-28, 33, 41, 44, 45, 47, 49, 53
4 Sept. 19 15.2: Double integration over general regions (finish) 15.2: (see above)
5 Sept. 20
(X-hour)
Coordinate systems (chapter 11 review) 11.3: # 3, 7, 11, 13, 15, 19
6 Sept. 21 15.4: Integration with polar coordinates 15.4 (polar): # 1, 3, 7, 9, 11, 13, 17, 19
7 Sept. 23 15.3: Triple integrals 15.3: # 1, 3, 9, 11, 13, 17, 19, 21, 25, 28, 29, 31, 39
8 Sept. 26 15.4: Integration with cylindrical coordinates 15.4 (cylindrical): # 27, 31, 33, 35, 37, 39
9 Sept. 28 15.4: Integration with spherical coordinates 15.4: (spherical): # 43, 45, 47, 49, 53, 55
10 Sept. 30 15.4: Review
11 Oct. 3 15.5: Applications of triple integrals
  (total mass and center of mass only)
15.5: # 3, 7, 11, 13, 19, 23, 25
12 Oct. 4
(X-hour)
Review for Exam 1
Exam 1, 4:00pm - 6:00pm
13 Oct. 5 15.6: Change of Coordinates 15.6: # 1, 5, 7, 13, 15, 29, 31, 33
Oct. 7 Class canceled
14 Oct. 10 Chapter 12/13: Vector Concepts 12.3: # 5, 15, 27
12.4: # 5, 7, 9, 11, 25
13.1: # 5, 7, 12, 13, 15
13.2: # 9, 17, 19, 23, 25
15 Oct. 11
(X-hour)
Chapter 13: Curve Parametrization Worksheet (passed out in class)
16 Oct. 12 16.2: Scalar Line Integrals 16.2: # 1, 3, 5, 11, 13, 15, 17
17 Oct. 14 16.1: Vector Fields
16.3: Conservative Vector Fields
16.1: # 1, 3, 9, 11, 13-16, 17-19, 23, 27
16.3: # 7, 9, 11, 15
18 Oct. 17 16.2: Vector Line Integrals 16.2: # 19, 21, 25, 29, 35, 37, 38
19 Oct. 18
(X-hour)
16.3: Conservative Vector Fields 16.3: # 1, 5, 7, 9, 11, 15, 17, 19
20 Oct. 19 17.1: Green's Theorem
21 Oct. 21 17.1: Green's Theorem 17.1: # 3, 5, 7, 9, 13, 15, 17, 24, 25
Oct. 24 Class Canceled
Oct. 26 Class Canceled
Oct. 28 Class Canceled
22 Oct. 31 16.4: Surface Integrals of Scalar Functions (start)
23 Nov. 1
(X-hour)
Review for Exam 2
Exam 2, 5:00pm - 7:00pm
24 Nov. 2 16.4: Surface Integrals of Scalar Functions (finish) 16.4: # 1, 3, 7, 13, 15, 19, 23, 27, 29, 35
25 Nov. 4 16.5: Surface Integrals of Vector Fields 16.5: # 1, 5, 7, 9, 15, 17, 23, 25, 27
26 Nov. 7 17.2: Stoke's Theorem
27 Nov. 9 17.2: Stoke's Theorem 17.2: # 1, 5, 7, 9, 11, 13, 25, 27
28 Nov. 11 17.3: Divergence Theorem 17.3: # 5, 7, 9, 11, 19
29 Nov. 14 Calculating the Area of Polygons using Green's Theorem
30 Nov. 15
(X-hour)
Review for Final Exam
Nov. 20 Final Exam, 3:00pm - 6:00pm

Syllabus

The official syllabus is here.

 
Homework Assignments

Weekly graded homework assignments, posted above. Daily suggested homework from the textbook, not graded.

Exam Dates
Exam 1: Tuesday, October 4, 4:00pm - 6:00pm
Exam 2: Tuesday, November 1, 5:00pm - 7:00pm
Final Exam: Sunday, November 20, 3:00pm - 6:00pm

Textbook

Calculus Early Transcendentals, Multivariable, 3rd edition
(note: the multivariable version is cheaper!)
J. Rogawski & C. Adams
ISBN: 978-1464171758
No online code needed.

Grading Scheme
Homework: 15%
Exam 1: 25%
Exam 2: 25%
Final Exam: 35%

Important Dates
September 12: Classes begin
September 26: Final day for electing use of the Non-Recording Option (NRO)
October 24: Final day for dropping a fourth course without a grade notation of "W"
October 31: Final day to withdraw from a course
November 15: Last day of classes
TBD: Math 13 final exam