Math 112 Calculus II

Monday and Friday 9:10-10:00am

Wednesday 8:10am-10:00am

Hayes Hall 311

Textbook

Calculus from Graphical, Numerical, and Symbolic Points of View, Volume 2, Second Edition, by Arnold Ostebee and Paul Zorn.

 

Syllabus

 

Office Hours (Hayes 309-A)

Monday 10:10 – 11:00

Tuesday 12:10 – 1:00

Wednesday 12:10 – 1:00

Thursday 11:10 – 12:00

Friday 11:10 – 12:00

 

Tutoring with Henry (Hayes 203)

Henry is available for questions at the MSSC from 7:00 – 9:00pm on Sundays and Thursdays.

 

Math and Science Skills Center Tutoring (Tomsich 101)

Sunday, Tuesday, Thursday 7:00—10:00pm

 

Homework

Assignment

Problems

Due Date

1

Euler's Method Exercises

Friday, 1/20

2

Maple Intro Worksheet (on P: drive)

Section 6.3: #14a-e

Friday, 1/20

 

Work on projects!

Get your model set up so that you can ask questions and work on implementing Euler’s method in the upcoming week.

Project expectations can be found through the link below – due date is Feb 1.

 

3

Sec 5.7: 3-5, 8, 9, 11, 12

Sec 6.1: 2 (just L4, R4, and M4),

8 (just L4, R4, and M2)

Wednesday, 1/25

4

Sec 5.7: 19, 25, 27, 30, 34, 39

Sec 6.1: 15, 16

Riemann sums lab

Note: Projects are due Wednesday, Feb 1st.

Monday, 1/30

 

Project 1 – due Wednesday, Feb 1st!

 

5

Sec 6.1: 2 (do parts a-c but for trapezoid, midpoint, and Simpson’s rule only), 17, 18

Sec 6.2: 2, 5, 9, 11, 12, 19,

29 (Given: L10≈3.3045)

Integration Review Worksheet Problems

Friday, 2/3

6

Sec 8.1: 9, 10, 12, 13,

[15, 17, 18] – (no need for midpoint check), 47, 50,

Integrate f(x) = sin(2x)cos(4x).

Monday, 2/6

7a

Sec 8.2: 5, 10, 12, 14, 33, 36

Wednesday, 2/8

7b

Sec 8.2: 40

Friday, 2/10

8

ODK 1 Review:

Hand in at least one from each section.

5.4: 22, 62, 63, 67, 73

5.6: 5, 9

5.7: 3, 6, 17a, 29, 31, 33

6.1: 2

6.2: 2, 13, 30

6.3: 11a

8.1: 19, 41

8.2: 39

Wednesday, 2/15

(ODK 1 Day!)

 

Gateway Review Sheet: for practice only – not to be turned in.

 

 

Sample ODK 1: for practice only – not to be turned in.

 

9

Sec 7.1: 13, 18, 22, 24

For each problem, set up an integral or integrals to find the given area in two ways (i.e. once in terms of x and once in terms of y). You can use Maple to compute the integrals. Your two answers for each problem should be the same!

Also do problem 37 – set up the integral(s) in whichever way you choose and then use Maple to evaluate them.

Monday, 2/20

10

Sec 7.2: 11, 13-16, 18

Wednesday, 2/22

11

Worksheet: Volume and Arc Length

Friday, 2/24

12

Ch 7 Interlude: Worksheet

Monday, 2/27

13

Sec 9.1: 1a, 2-4, 7-8 (just find the 6th order Maclaurin polynomial), 25-27

Wednesday, 2/29

14

Sec 9.1: [15, 17] – Note that these questions concern actual approximation error (which you should estimate from a graph).,

28, 34, 35

Sec 9.2: 4, 6, 13, 18

Wednesday, 3/21

15

Taylor Polynomial Maple Lab

Wednesday, 3/21

 

Work on projects!

 

16

Sec 4.2: 8, 28, 30, 36, 37, 55, 58, 79, 81

Sec 10.1: 1, 4, 10, 21, 28, 38, 39, 42

Friday, 3/23

17

Sec 10.2: 4, 15, 19, 20, 28
DCT worksheet

Monday, 3/26

18

ODK 2 Review:

Hand in at least one from each section.

7.1: 19, 23, 43 (both ways for 19, 23)

7.2: 14, 17, 19, 40

Center of mass of region bounded by

 and .

9.1: 2, 15

9.2: 5, 8, 17

4.2: 27, 31

10.1: 41, 46, 47

10.2: 16, 27-30

Wednesday, 3/28

19

Sec 11.1: 1-3, 6, 8, 10, 13, 15, 18,

27, 29, 42, 52

Monday, 4/2

20

Sec 11.1: 19-25, 28, 44ab, 46-49, 53, 55

Wednesday, 4/4

21

Sec 11.2: 1, 4, 8, 12, 17, 18,

23, 27, 32, 35, 42, 43, 47, 51,  52

Hint on #42: The sequence of terms is one of the sequences we discussed and put on our important sequences list.

Friday, 4/6

22

Take-home odk (work through it with no outside resources, then check answers with notes or friends)

Sec 11.3: 1, 2

Monday, 4/9

23

Sec 11.3: 8, 9, 11, 13, 15,

[17-20 just determine convergence/divergence], 31, 40

Wednesday, 4/11

24

Sec 11.3: 24, 25, 27

Sec 11.4: 1, 4, 6, 8

[11 just determine convergence/divergence],

[19, 20 just determine absolute/conditional convergence, divergence]

Work on worksheet problems (due Mon)

Friday, 4/13

25

Sec 11.4: 10, 12, 24-26, 32

Series practice worksheet

Monday, 4/16

26

ODK 3 Review :

Hand in at least two from each section.

Sec 11.1: 2, 8, 10, 19-21, 25, 27, 38, 53

Sec 11.2: 1, 11-13, 18, 24, 40, 43, 49, 52

Series Worksheet

Wednesday, 4/18

27

Sec 11.5: 2 (use Maple!), 4, 7, 8, 12, 33-38, 40, 41

Monday, 4/23

28

Sec 11.6: 1-8, 13, 14, 17,

30 (use power series!), 47

Friday, 4/27

29

Sec 11.6: 10, 11, 46

Sec 11.7: 3, 4, 5

Friday, 4/27

30

Sec 11.7: 2, 10

#13: (a) Find the Maclaurin series M for .

(b)Find the interval of convergence of M.

(c) Use Theorem 14 to show that, on its interval of convergence, M converges to  .

Extra credit problem!

Monday, 4/30

31

Worksheet

Wednesday, 5/2

32

Sec 7.4: 10-13, 18, 20

Separable DEs Worksheet

Friday, 5/4

 

Work through sample final, previous exams, and power series worksheet!

(not to be collected)

 

 

Projects

Topics and Expectations