MAT 21C Section B - CALCULUS Reading Assignment

Spring Quarter 2010

Instruction:

Every week several homework problems are assigned through Weekly Homework Assignment, along with reading assignments given on this website. The homework problems you work on the WeBWork are simple computational exercises which do not require much of your brain power. Here on the Reading Assignment page you are given more interesting problems from the book. You are supposed to solve these extra problems, since the exams (midterms and the final) may be based also on them. Partial solutions can be found in your book. Please utilize your TA's office hours, discussion sections, and the instructor office hours, to learn more about these problems. At the same time, please read the assigned sections throughly.

If you have not decided yet whether you want to take this class you might wish to check the official student evaluations of the MAT 21C (Spring 2009) class I taught last spring and the evaluations from the other classes I taught during the last three years: MAT 235B (Winter 2010), MAT 125A (Fall 2008), MAT 125B (Spring 2008) , MAT 21A (Fall 2007) , MAT 67 (Summer 2007), and MAT 280 (Spring 2007).

Weekly Assignment:

Theoretical Problem Set #1: Please try the following problems.

Section 11.1 (p.742): #85, 87, 89

Section 11.2 (p.755): #71, 73, 77

Section 11.3 (p.760): #31, 33, 35

Reading Assignment #1: Please read Sections 11.1, 11.2, and 11.3 of the book by Thursday, April 8th.

Theoretical Problem Set #2: Please try the following problems.

Section 11.4 (p.765): #25, 38, 40

Section 11.5 (p.770): #3, 37, 45

Reading Assignment #2: Please read Sections 11.4 and 11.5 by Thursday, April 15th.

Theoretical Problem Set #3: Please try the following problems.

Section 11.6 (p.777): #39, 52, 54, 56

Section 11.7 (p.788): #39, 40, 41

Reading Assignment #3: Please read Sections 11.6 and 11.7 by Thursday, April 22.

Sample Midterm #1: The midterm is based on Sections 11.1-11.7. Partial solutions can be found in your book.

Problem #1:

(a)11.1.45

(b)11.1.49

Problem #2:

(a)11.2.27

(b)11.3.27

Problem #3:

(a)11.4.7

(b)11.5.23

Problem #4:

(a)11.6.19

(b)11.6.21

Problem #5:

11.7.25

Problem #6 (Bonus Problem):

11.6.55

Theoretical Problem Set #4: Please try the following problems.

Section 11.8 (p.795): #29, 31, 32, 35.

Section 11.9 (p.804): #39, 41, 42, 46.

Reading Assignment #4: Please read Sections 11.8 and 11.9 by Thursday, April 29.

Theoretical Problem Set #5: Please try the following problems.

Section 11.10 (p.816): #49, 57, 63a, 69.

Section 12.1 (p.837): #53, 54.

Section 12.2 (p.846): #54.

Section 12.3 (p.856): #29, 32.

Reading Assignment #5: Please read Sections 11.10, 12.1, 12.2, and 12.3 by Thursday, May 6.

Theoretical Problem Set #6: Please try the following problems.

Section 12.4 (p.863): #27, 28, 29, 30.

Section 12.5 (p.873): #68, 69, 73.

Section 14.1 (p.958): #45, 46, 48.

Reading Assignment #6: Please read Sections 12.4, 12.5, and 14.1 by Thursday, May 13.

Sample Midterm #2: The midterm is based on Sections 11.7-11.10 and 12.1-12.5 Partial solutions can be found in your book.

Problem #1:

(a)11.9.18

(b)Find the radius of convergence and the interval of convergence for the power series from part (a).

Problem #2:

11.10.59

(Taylor series for many functions, including tan^{-1}(x), are given in Table 11.1 on page 815).

Problem #3:

11.8.17

Problem #4:

(a)12.5.9

(b) Find the distance from the origin to the line.

Problem #5:

12.5.25

Problem #6 (Bonus Problem):

(a) 12.5.67

(a) 12.5.69

Theoretical Problem Set #7: Please try the following problems.

Section 14.2 (p.967): #45, 46, 47, 50.

Section 14.3 (p.979): #66, 67.

Reading Assignment #7: Please read Sections 14.2 and 14.3 by Thursday, May 20. A 3D graphing tool would be useful for understanding Chapter 14.

Theoretical Problem Set #8: Please try the following problems.

Section 14.4 (p.988): #35, 37, 42.

Section 14.5 (p.998): #13, 23, 27.

Section 14.6 (p.1010): #60.

Reading Assignment #8: Please read Sections 14.4, 14.5, and 14.6 by Thursday, May 27.

Theoretical Problem Set #9: Please try the following problems.

Section 14.6 (p.1010): #59.

Section 14.7 (p.1019): #43, 44.

Section 14.8 (p.1032): #42.

Reading Assignment #9: Please read Sections 14.6, 14.7, and 14.8 by Thursday, June 3rd. This is it!

Sample Final Exam: Half of the final exam problems will be from Chapter 14.

Problem #1:

(a)11.1.47

(b)11.1.75

(b)11.1.80

Problem #2:

(a) 11.4.14

(b) 11.5.23

Problem #3:

11.9.15

Problem #4:

(a)12.5.27

(b) Find the angle between these lines.

Problem #5:

(a) 12.3.7

(b) 12.4.7

Problem #6:

(a) 14.2.39

(b) 14.2.41

Problem #7:

(a) 14.5.15

(b) 14.5.21

Problem #8:

(a) 14.7.35

(b) 14.7.27

Problem #9:

(a) 14.8.8.

Problem #10:

(a) 14.6.11

(b) 14.6.41

Problem #11 (Bonus Problem):

(a) 12.4.33

(b) 12.4.34

Problem #12 (Bonus Problem):

(a) 14.7.51

Final Exam (Exam Code P): Wednesday, June 9, 08:00AM - 10:00AM in SCIENCE LECTURE HALL 123.

The Final Exam is cumulative and covers all the materials taught in the course: 11.1-11.10, 12.1-12.5, and 14.1-14.8. However, about 50% of the problems will be specifically devoted to the material covered after the Midterm 2.

If you are concurrently taking two MAT 21 series courses, then please notify the instructor by Tuesday, June 1, via e-mail.