I will record assignments in this space in the online version. Credit or blame for the blurbs belongs to Dr. Kerr.

** All chapter numbers are from the big calculus book. Please
note that chapter 12 of the big book is chapter 13 of the small book.
As we go ahead in the book, I will insert similar notes about future
chapters.**

**Monday, Aug. 26:**- 12.1 3D coordinates, simple planes, spheres
p. 787: 4, 8, 10, 14, 16, 20, 28, 30, 32, 40.

**Tuesday, Aug 27:**- 12.2 Vectors, column vectors, addition,
muliplication by a scalar, subtraction, length, midpoints, M147
vector, pix
p. 794: 4, 6, 10, 16, 18, 20, 24, 26, 32, 34.

**Wednesday, Aug. 28:**- 12.3 Dot product, connection with angle, projections, pix
p. 802: 6, 10, 12, 18, 22, 26, 28, 32, 34, 38, 50, 52, 56.

**Thursday, Aug. 29:**- 12.4 Cross Product, connection with angle,
orthogonality, anti-commutativity, area and volume
p. 808: 2, 6, 8, 10, 12, 14, 16, 18, 24, 26.

**Friday, Aug 30:**- Maple lab or overflow
**Aug 31 (not a class day): deadline to add without instructor signature****Tuesday, Sept. 3:**- 12.4
p. 808: 28, 30, 32, 34, 36, 38, 40, 42.

**Wednesday, Sept. 4:**- 12.5 3D lines & planes: equations, distances from a point. GEM relations.
p. 818: 2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 24.

**Thursday, Sept. 5**- 12.5
p. 818: 28, 30, 34, 36, 40, 48, 50, 52, 60.

**Friday, Sept. 6:**- Maple lab or overflow
Lab 1, due on the 13th.

**Monday, Sept 9:**- 12.6 Quadrics. Traces: cross-sections, level
curves & contours.
p. 826: 10, 12, 16, 18, 21--28, 38, 40, 46, 48.

**Add deadline** **Tuesday, Sept. 10:**- 12.6
no additional problems (we might take the opportunity to get ahead here, depending on how the previous lecture went).

**Wednesday, Sept 11:**- 12.7 Cylindrical & spherical coordinates
p. 831: 4, 6, 10, 12, 14, 16, 20, 22, 24, 28, 32--36 even

**Thursday, Sept. 12:**- 12.7
p. 831: 38, 42, 46, 50--56 even, 58, 60, 62, 64.

**Friday, Sept 13:**- Maple lab or overflow
Lab 2, due on the 27th.

**Monday, Sept 16:**- 13.1 Parametric equations
p. 842: 6, 8--12 even, 14, 16, 18, 22, 24, 26, 28, 30, 32, 34.

**Tuesday, Sept. 17:**- 13.2 Vector-valued functions: 1st & 2nd
derivatives. Path traversal. Unit tangent vector. Tangent
lines. Velocity, speed, and acceleration. Derivative of a
constant-length vector.
p. 848: 4, 8, 10--16 even, 18, 22, 24, 28, 30, 32, 34--40 even. due Monday.

**Wednesday, Sept. 18:**- 13.2
No additional assignment. Note that Tuesday assignment is due as if assigned today.

**Thursday, Sept. 19:**- 13.3 Arc length as integral of
speed. Arc-length parametrization. Curvature. Various curvature
formulas.
p. 855: 2, 4, 5 (there isn't an even one like this), 6, 8, 10, 12, 14, 16.

**Friday, Sept 20:****TEST I**Test 1 covers chapter 12 and sections 13.1--2.

**Monday, Sept. 23:**- 13.3
p. 855: 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 40 (Maple!), 46 (just curvature).

**Tuesday, Sept. 24:**- 13.4 Velocity & acceleration. Tangential &
normal components of acceleration.
We will still be spending some time discussing earlier sections.
p. 855: 4, 6, 12, 18, 20, 24, 30, 32.

**Wednesday, Sept 25:**- 13.4 No additional assignment. 13.4 due as if assigned today.
**Thursday, Sept. 26:**- 14.1 Real-valued functions of more than one
variable. Graphs & contours
p. 883: 2, 6, 8, 14, 24, 26, 30, 40, 58, 60.

**Friday, Sept. 27:**- Maple Lab exercises for
this lab day (homework problems already assigned):
(look in file /home/holmes/public/M275/chapter13.mws on baron for useful functions and examples; if you want this file at home, ask me and I'll mail it to you -- or try the link below!)

Here is a link to chapter13.mws

13.1 problem 28; 13.2 problem 28; 13.3 problems 28 and 40 are solved in this file, so I can't assign any 13.3; 13.4 problem 18 (use arrow drawing functions from lab 1).

**Monday, Sept. 30:**- 14.2 Limits & continuity. Toxic examples and
their graphs.
p. 895: 6, 8, 14, 18, 22, 28, 30, 36.

**Tuesday, Oct. 1:**- 16.2 Line integrals with respect to arc
length. Riemann sums. Contours. Moments.
p. 1057: 2, 4, 6, 10, 16, 32, 36.

**Wednesday, Oct. 2:**- 16.2
No additional assignment -- 16.2 assignment due as if assigned today.

**Thursday, Oct. 3:**- 14.3 Partial derivatives. Graphical
interpretation. Contours. Higher derivatives. Clairaut's. Laplace's
equation. Heat equation.
p. 905: 6, 8, 12, 16, 18, 26, 36, 42, 44, 48, 50.

**Friday, Oct. 4:**Maple Lab stuff for October 4(look in file /home/holmes/public/M275/chapter14.mws on baron for useful functions and examples; if you want this file at home, ask me and I'll mail it to you -- or try the link below)

Here is a link to chapter14.mws

14.1 probs 49 ,50

problem 62

14.2 problem 22 (set up some paths along which the function has different limits, as in my setup of example 3 below)

problems 25, 26 (this is just plot and make obvious comments)

14.3 problem 80

problem 87 (this is a weird function -- to evaluate the derivatives they ask for, you will need to set up explicit limits)

16.2 problem 27 (also, draw a picture as in my example below; I suggest going through more than one example of line integrals parameterized by arc length)

**Drop deadline****Monday, Oct 7:**- 14.3
p. 905: 52, 56, 60, 64, 66ace, 68ac, 84ab (no harm in answering c if you can do it).

**Tuesday, Oct. 8:**- 14.4 Contour-map zoom in: tangent plane,
differentiability, total differential
p. 916: 2, 4, 6, 8, 12, 14, 18.

**Wednesday, Oct. 9:**- 14.4
**Thursday, Oct. 10:**- 14.5 What Chain Rule says. Matrix
form. Implicit differentiation.
4, 6, 10, 12, 14, 16, 20, 28, 32, 36, 54^*

**Friday, Oct. 11:****TEST II****Monday, Oct. 14:**- 14.6 Directional derivatives, contours &
gradients - first for planes. Tangent planes from gradients.
p. 936: 4, 10, 12, 18, 24, 28, 30, 32.

**Tuesday, Oct. 15:**- 14.6
p. 936: 40, 44, 48, 50, 52, 56.

**Wednesday, Oct. 16:**- 14.7 Maxima & minima: constrained,
unconstrained. Upper & lower sums.
p. 947: 2, 4, 6, 8, 10, 22, 28, 30, 34.

**Thursday, Oct. 17:**- 14.7
no additional assignment -- 14.7 assignment due as if assigned today.

**Friday, Oct. 18:**- Maple lab is here.
**Monday, Oct. 21:**- 14.8 Lagrange multipliers
page 956: 2, 4, 6, 8, 12, 16, 38.

**Tuesday, Oct. 22:**- 14.8
No additional assignment: 14.8 homework due as if assigned today.

**Wednesday, Oct. 23:**- 15.1 Double integrals: Riemann
sums. Contours. Largest & smallest Riemann sums.
p. 974: 4, 6, 10, 12 (you can find the value of the integral, too, I think) , 14.

**Thursday, Oct. 24:**- 15.2 Fubini on rectangles.
p. 980: 4, 8, 10, 16, 18, 20, 24, 28.

**Friday, Oct. 25:**- Maple lab or overflow
The lab is here.

My comment about problem 22,section 14.7, which was assigned as a lab problem, in class was incorrect; it appears to solve easily. It is useful to use _EnvExplicit := true, though; then it will evaluate the arc tangents of roots of polynomials which it otherwise shows.

**Monday, Oct. 28:**- 15.3 Double integrals on non-rectangular
regions. Change of integration order.
p. 988: 2, 4, 8, 10, 12, 14, 18, 20, 24, 36, 40, 44.

**Tuesday, Oct. 29:**- 15.3
No additional assignment. The (quite long -- don't put it off!) 15.3 assignment is due as if assigned today.

**Wednesday, Oct. 30:**- 15.4 Polar coordinates & double
integrals. Coordinate-transformation fudge factors.
2, 4, 6, 8, 10, 14, 16, 24, 28, 30.
**Thursday, Oct. 31:**- 15.4
No additional assignment. Note that 15.4 assignment is due as if
assigned today.
**Friday, Nov. 1:**- Maple lab or overflow -- this will actually be a homework review
day (to give you all a chance to catch up on outstanding labs). We will
meet in MG104; I have reserved the projector as well.
Here is some Maple stuff.

**Monday, Nov. 4:**- 15.5 Plane mass & moments. Probability. Random
variables. Density. Independence. Expected values.
p. 1004: 2, 6, 10, 12, 14, 18, 24, 26, 28.

**Tuesday, Nov. 5:**- 15.5
No additional assignment. Due as if assigned today. Last section to be included on test 3.

**Wednesday, Nov. 6:**- 15.6 Surface area
p. 1008: 2, 4, 6, 10, 16 (maple or calculator), 20.

**Thursday, Nov. 7:**- 15.6
I am really planning to spend just one day on 15.6, but I won't push ahead to 15.7. This day will remain available for review and homework problems. The 15.5 homework is due on Monday and the 15.6 homework is due on Tuesday.

**Friday, Nov. 8:****TEST III**covers sections 14.4 -- 15.5.

**Monday, Nov. 11:**- 15.7 Triple integrals. Riemann
sums. Fubini. Change integration order.
p. 1016: 4, 8, 10, 14, 18, 26, 30, 34, 40 (Maple).

**Tuesday, Nov. 12:**- 15.8 Triple integrals: cylindrical &
spherical coordinates
p. 1023: 2, 4, 8, 10, 18, 22, 28, 34, 36.

**Wednesday, Nov. 13:**- 15.9 Change of variable.
p. 1033: 2, 4, 8, 10, 12, 14, 16, 20, 22, 24.

**Thursday, Nov. 14:**- 15.9
no new assignment -- 15.9 assignment due as if assigned today.

**Friday, Nov. 15:**- Maple lab or overflow
Here is your Maple lab. This is actually an updated version of the same file I handed out at the homework session (the homework session pointer also points to this file). Notice that you only need to do four of the problems listed.

**Monday, Nov. 18:**- 16.1 Vector fields. Gradient fields & contours.
4, 6, 11-14 (matching), 15-18 (matching), 24, 26, 29-32 (matching), 34 (look at 33).

**Tuesday, Nov. 19:**- 16.2 Line integrals of vector fields. Work. Closed paths: circulation & flux
p. 1057: 14, 16, 18, 20, 22, 24 (this really shouldn't require Maple -- this vector field is easy to draw), 26, 30, 42 (these last three problems were added Wednesday).

**Wednesday, Nov. 20:**- 16.2
I didn't write a full new assignment -- I added three problems to the original assignment, and the whole assignment is now due as if it is assigned today.

**Thursday, Nov. 21:**- 16.3 Fundamental Theorem for line integrals. Line integrals of gradient fields.
p. 1066: 4, 6, 8, 10, 12, 14, 20, 22, 33 (this is an odd problem, I know, but it's important to see an example like this -- I'll probably work it out in class, too).

**Friday, Nov. 22:**- Maple lab or overflow
Maple lab is here.

**Monday, Nov. 25:**- 16.3
no additional assignment; assignment above due as if assigned today.

**Tuesday, Nov. 26:**- 16.4 Green's theorem. Swirlies. Flux. Plane
divergence theorem. Curl & divergence of a vector field appear.
p. 1074: 2, 6 (Maple), 8, 10, 14 (draw a picture with orientations of the two pieces of the boundary), 18, 20, 22.

**Monday, Dec. 2:**- 16.4
No additional assignment: assignment for this section is due as if assigned today.

**Tuesday, Dec. 3:**- 16.5 3D Curl and divergence.
p. 1080: 2, 4, 6, 8, 12, 16, 18, 20, 26.

**Wednesday, Dec. 4:**- 16.6 Parameterizing surfaces. More surface area.
p. 1091: 2, 4, 20, 22, 24, 26, 30, 34, 36, 40.
**Thursday, Dec. 5:**- 16.6
If I spend two days on 16.6, the assignment will be due as if assigned today; I might cover 16.6 in one day, in which case it will be due as if assigned Wednesday.

**Friday, Dec. 6:****TEST IV**The test covers sections 15.5--16.5.

**Monday, Dec. 9:**- 16.7 Integrals with respect to surface
area. The fundamental cross product.
p. 1103: 6, 10, 14, 20, 24.

**Tuesday, Dec. 10:**- 16.7
16.7 due as if assigned today.

**Wednesday, Dec 11:**- 16.8-9 Stokes theorem; Divergence theorem
p. 1109: 2, 8, 14. p. 1116: 6, 8, 22.

**Thursday, Dec 12:**- 16.8-9
**Friday, Dec 13:**- 16.8-9
**Monday, December 16:**- Final exam 1-3 pm in MG 139.