## Thursday, December 5, 2013

### course evaluations

As of 8:50 Thursday morning the response rate is 71.66%.

## Wednesday, December 4, 2013

### office hours

There is a good chance I won't have any office hours Thursday or Friday due to some unavoidable UW business. My office hours today will run from 1 to 5 pm in Ross 206

Sudipta has office hours today in the math lab from 2 to 5 pm.

Keivan has office hours Thursday morning in the math lab from 9 to noon.

### lecture, wednesday dec 4

I'll verify the Divergence theorem today by computing three surface integrals and one volume integral. I'll give each surface integral the full treatment, starting with parametrization of the surface. This may be a good day to stay in and watch the lecture on WyoCast (if it works). Audio and video.

## Monday, December 2, 2013

### discussion, week 15

You will be working line, surface and triple integrals. The quiz problems will concern surface parametrizations.

## Sunday, December 1, 2013

### lecture, monday dec 2

In a better universe, on the day following a vacation, we would do nothing more strenuous than some simple multiplication problems. But the fourth exam is only a week away so we will look at two more escape hatches: Stoke's theorem (16.8) and the divergence theorem (16.9). I'll just have time to discuss their structure. You'll have a chance to work with these theorems in your discussion section and we'll talk applications on Wednesday and Friday. Audio and video too!

## Friday, November 29, 2013

### exam 4 approaches

Exam 4 is scheduled for Tuesday, December 10 from 3:30 to 5:30 pm. The exam will cover sections 16.1-16.8. A mock exam is available and solutions will be available next Friday.

## Tuesday, November 26, 2013

### no discussions this week

Because Thursday is a holiday there will be no discussion sessions this week. Charlie does have office hours from 9 to noon on Tuesday.

## Monday, November 25, 2013

### lecture, monday nov 25

We'll look at a second type of surface integral where we integrate $\vec{F} \cdot d \vec{S}$. This type of integral is often called a flux integral, because it's used to measure flow across a surface. We'll do some more parametrization also. Audio and video. Audio flub: at 33:47, it's the $r$-axis and not $\vec{r}$ being plotted in the $xy$-plane.

## Saturday, November 23, 2013

### massive bribery scandal shocks calcunauts

The math department, its cupboard now bare, must befriend the new dean who possesses vast stores of treasure. The only thing that will make this dean happy is high response rates on course evaluations. But, response rates are at a dismal 35%. So the math department head gathered all the instructors and said, "Do whatever it takes to get the response rate up to 75%; do whatever it takes to ensure we survive the harsh winter."

As part of this grim effort to save the math department from certain starvation, I'm offering to increase your exam two score by 5 points if only you fill out the course evaluation form. And, if the response rate reaches 75% I'll increase everyone's score. Be aware that course evaluations are anonymous and that no one will see the evaluations until after grades are submitted on December 19.

Oh the times, oh the morals!

## Thursday, November 21, 2013

### solutions

Here are solutions to the week 13 discussion problems. Let me know if you find any mistakes; I'll make you famous.

### lecture, friday nov 21

I'll use the surface area element you built in discussion, along with several of the surface parametrizations, to compute some surface areas (16.6).

Audio and video. Audio flub near 40:50: The slopes on the roof are -1/3 in the x-direction and -1/2 in the y-direction. With small roof slopes we expect a small difference between area of the roof, S=7/2=3.5, and the area of the floor, Area(D)=3.

### master integrators!

All the scores are in and the stats for exam 3 are downright exciting! One brave calcunaut has a perfect score. (revised 11/22, 3:40 pm)

 "The mean is not mean." Sudipta Mallik (November 2013)

## Wednesday, November 20, 2013

### lecture, wednesday nov 20

To start off, I'll review the fundamental theorem for line integrals. Then I'll show you another escape hatch you can use to avoid calculating a particular type of line integral. This escape hatch is called Green's Theorem (16.4) and it provides a very cool connection between line and double integrals.

Video and audio. Audio flub: Near 17:20 I made a mistake. I should have said: if $P_y=Q_x$, $Q_z=R_y$ and $P_z=R_x$ and the domain of $\vec{F}$ is open and connected then $\vec{F}$ is not guaranteed to be conservative. But, if $P_y=Q_x$, $Q_z=R_y$ and $P_z=R_x$ and the domain is open and simply connected then $\vec{F}$ is guaranteed to be conservative. A connected domain may have holes (due to $\vec{F}$ blowing up) but a simply connected domain has no holes.

## Tuesday, November 19, 2013

### exam 3 solutions

At long last, here are my answers to exam 3. Let me know if you see anything dodgy.

## Monday, November 18, 2013

### discussion, week 13

In preparation for surface integrals you will be playing with parametrizations for planes and some of the quadric surfaces.

The quiz problems will deal with cylindrical and spherical coordinates.

### exam status

It's unlikely you'll get your exam back before Wednesday afternoon. Problems 3 and 5 are graded and I'm happy that problem 3 was less of a disaster this time.

### lecture, monday nov 18

We'll talk about how and when the fundamental theorem of calculus for line integrals (16.3) can be used to avoid doing a nasty line integral. Video and audio.

The WebAssign problems for 16.2 are due tonight.

## Friday, November 15, 2013

### lecture, friday nov 15

More vector fields, more line integrals (in two flavors). Beware, there are 5, mostly cheesy, web assign problems (16.1) due tonight.

## Thursday, November 14, 2013

### big calc 3 exam today!

Exam 3 begins at 5:15 pm this afternoon. The exam rooms are listed below. Keivan is in the math lab this morning until noon. Charlie will be in Ross 206 from 2 - 4:30 pm.

## Tuesday, November 12, 2013

### exam 3 looms large

Exam 3 starts at 5:15 pm on Thursday afternoon but plan to arrive 10 to 15 minutes early. The exam covers sections 15.1-15.5 and 15.7-15.10. An equation sheet like the one in the mock exam will be provided.

You must bring a photo ID to the exam. You do not need a blue book and no notes, calculators, music players or phones are allowed during the exam. Space will be tight. Leave your backpack at home.

Students from other calculus courses will share your room. Don't sit next to another calculus 3 student. The equation sheets are color coded, so try to sit between people with equation sheets that don't match yours. Your proctor may ask you to change seats before the exam begins.

Where you take the exam depends on your discussion section:
• Section 20: BU 121
• Section 21: BU Auditorium (basement)
• Section 22: CR 133
• Section 23: EN 1045
• Section 24: AG 1032 1030 (AG 1030 is in use until 5:05 pm)
• Section 25: CR 314