Instructor(s): GaYee Park, Linh Huynh, Vladimir Chernov, Holly Paige Chaos

Course on canvas.dartmouth.edu.

Syllabus

Day Section

Ungraded Practice Problems

Monday September 15 12.1 and 12.2 Coordinate and vectors in RSpheres

12.1 # 8, 19

12.2 #17, 22

Wednesday September 17 12.3 and 12.4 Dot and Cross Products 12.3 #27, 12.4 #30
Friday September 19 12.5 Lines and Planes 12.5 #21, 26
Monday September 22 13.1 and 13.2 Space Curves 13.1 #17, 13.2#20
Wednesday September 24 13.3 and 13.4 Arc Length and Kynematics 13.3 #6, 13.4 #15
Friday September 26 14.1 and 14.2 Functions of two variables 14.1#9, 14.2#18

Monday September 29

14.3 Partial Derivatives 14.3 #33, 54
Wednesday October 1

14.4 Tangent Planes and Linear Approximation

14.4 #3, 19
Friday October 3 14.5 Chain Rule 14.5 #7, 31

Monday October 6

14.6 Directional Derivatives and Gradient 14.6 #7, 11
Wednesday October 8 14.7 Maxima and Minima, Midterm 1 14.7 #6, 36, 
Friday October 10 14.8 Lagrange Multipliers 14.8 #1, 4, 
Monday October 13 15.1 Double Integrals Over Rectangles 15.1 #27, 48
Wednesday October 15 15.2 General Planar Domains 15.2 #7, 23
Friday October 17 15.6 Triple Integrals 15.6 #8, 10
Monday October 20 15.3 and 15.7 Polar and Cylindrical Coordinates

15.3 #15, 31

15.7 #1, 15

Wednesday October 22 15.8 Spherical Coordinates 15.8 #1, 23
Friday October 24 15.9 Change of Variable, Jacobians 15.9 #5, 17

Monday October 27

16.1 and 16.2 Vector Fields and Scalar Line Integrals

16.1 #29-32

16.2 #16

Wednesday October 29 16.2 Vector Line Integrals, Midterm 2 16.2 #26, 32

Friday October 31 

16.3 Fundamental Theorem of Line Integrals 16.3 #1, 12
Monday November 3 16.4 Green's Theorem 16.4 #1, 13
Wednesday November 5 16.5 Divergence and Curl 16.5 #5, 15
Friday November 7 16.6 Parameterized Surfaces 16.6 #3-6
Monday November 10 16.7 Surface Integrals 16.7 #5, 21
Wednesday November 12 16.8 Stokes Theorem 16.8 #1, 3
Friday November 14 16.9 Divergence Theorem 16.9 #1, 5
Monday November 17 16.9 Gauss Law, 16.10 Wrap up