CALCULUS III

June 4, 2017, 9:47 p.m.

EXAM I:
Your first exam will be MONDAY JUNE 5.

June 5, 2017, 7:42 p.m.

Homework:
(12.2) 9-17 odd, 39, 41
(12.3) 1-17 odd, 25, 27
(12.4) 7-11 odd, 21-27 odd, 37-41 odd

June 5, 2017, 7:42 p.m.

TAKE HOME TEST:
Since nobody told WCC that photo copying doesn't require the internet, we decided to have a take home test (woo woo!). Also, since I managed to lose the test I am just going to type it out here as I rewrite it :(. There will be a total of 9 questions. **Check back here because I haven't finished yet!!!!**** EDIT: finished!**

**Problem 1**: Let **∏** denote a plane containing the line given by *x*=*y*=*z*. Also suppose that the point *Q*=*(0,1,2)* is on the plane **∏**. Find an equation for the plane **∏**.

**Problem 2**:
Find the angle **θ** between the vectors **v=<1,0,1>** and **w=<0,1,0>**.

**Problem 3**:
Find the area of the triangle **T** with vertices **(1,0,0)**, **(1,1,0)**, and **(1,1,1)**.

**Problem 4**:
Find the area of the parallelogram **W** spanned by the vectors **v=<1,0,1>** and **w=<0,1,1>**.

**Problem 5**:
Find the distance between the point *P=(1,2,3)* and the point *Q=(2,3,4).*

**Problem 6**:
Let **r(t) = < cos(t), sin(t), 2t >** be a vector valued function defined for all real numbers *t*.

Find the following:

1) **r'(t)**

2) **r''(t)**

3) **r'(t) • r''(t)**

4) **r'(t) ⨯ r''(t)**

**Problem 7**:
Given that ** ∏** and ** Σ** are two planes with normal lines *n* and *m* respectively, and that the two planes intersect at the point *Q=(1,2,3)*, find the line of intersection of plane ** ∏** and **Σ**.

**Problem 8**:
Solve

**∫ **x^{2}e^{x}dx

**Problem 9**:

a) If a particle follows the path given by **r(t)=<1, 2t, 3t**^{2}>, find the velocity of the partical at time **t=6**.

b) Find the total distance travelled after **t=6** seconds, assuming the particle started at time **t=0**.

June 14, 2017, 8:42 p.m.

Homework:
(13.1) 3, 5, 19-29 odd, 33-39 odd, 45-48 all, 49-55 odd

June 14, 2017, 8:46 p.m.

Homework last time:
(12.5) 1-35 odd

June 19, 2017, 7:59 p.m.

Homework:
(13.3) 125, (13.5) 11 - 35 odd, 37-40, 51

June 21, 2017, 6:03 p.m.

Test 2:
Test 2

June 26, 2017, 8:47 p.m.

Homework:
(13.7) 5, 7, 9-19 odd
(13.8) 1-29 odd

June 28, 2017, 8:30 p.m.

Homework:
(14.2) 1-19 odd

July 10, 2017, 7:31 p.m.

Homework:
Monday July 3

(14.3) 1-33 odd

Wednesday July 5

(14.5) 1-27 odd

July 10, 2017, 8:03 p.m.

Homework:
(13.10) 1-8 (did 7 in class), 9-12, 13, 15, 17-25 odd, 42

July 17, 2017, 3:28 p.m.

EXAM:
Test 3

Exam is due next Monday

On the exam, problem 5 there is an error. The limits are incorrect. I t should be **∫ **^{y=2}_{y=0}**∫ **_{x=0}^{x=y}(sin(y^{2}))dxdy

July 17, 2017, 8:11 p.m.

Homework:
(15.1) 15-41 odd page 1049
(14.7) 9-21 odd page 1025

July 26, 2017, 12:44 p.m.

Final Exam:
Here is the final exam.
final
No class Monday. Email final to me by Monday.