This course is a sequel to Math 8 and provides an introduction to calculus of vectorvalued 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 (Xhour) 
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 
#  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: # 57, 9, 11, 13, 17, 19, 23, 2528, 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 (Xhour) 
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 (Xhour) 
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 (Xhour) 
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, 1316, 1719, 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 (Xhour) 
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 (Xhour) 
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 (Xhour) 
Review for Final Exam  
Nov. 20  Final Exam, 3:00pm  6:00pm 
Weekly graded homework assignments, posted above. Daily suggested homework from the textbook, not graded.
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 
Calculus Early Transcendentals, Multivariable, 3rd edition
(note: the multivariable version is cheaper!)
J. Rogawski & C. Adams
ISBN: 9781464171758
No online code needed.
Homework:  15% 
Exam 1:  25% 
Exam 2:  25% 
Final Exam:  35% 
September 12:  Classes begin 
September 26:  Final day for electing use of the NonRecording 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 