Joseph Stover, PHD

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Math 259-03 (spring 2019)


Calculus-Analytic Geometry III, spring 2019, math 259-03.

You will want to check back here regularly as I may post a variety of course materials or links to various resources.

Here is the course syllabus.


Summary and review materials:

Chapter 11 summary and review (*updated 1:45pm 2/7/2019)

Note: parameterize vs parametrize? I found the answer there to be a pretty convincing argument on which *should* be correct, but both spellings are acceptable. 

Chapter 12 summary and review (*updated 3:35pm 3/1/2019)
This now includes the full material of chapter 12. 

Quiz 4:
Note that this quiz will not be graded. This is for your benefit to help you prepare for the exam. I HIGHLY suggest that you actually study sections 12.5 to 12.8 and work some problems from the chapter 12 summary and review above before attempting this quiz. In other words, treat this like an actual graded quiz! Here is "quiz 4"! Here are the solutions for quiz 4.

Chapter 13 summary and review (*updated 4:23pm 3/31/2019)
This is now complete.

Chapter 14, sections 1, 2, and 3 (*updated 4:48pm, 4/15/2019)
Solutions to sections 1, 2, and 3

Chapter 14, sections 4 and 5 (*updated 11:20am 4/22/2019)
Solutions to sections 4 and 5

Chapter 14, section 6 (w/ solutions) (*updated 3:49pm, 5/2/2019)

Ch. 14 sect. 7 and 8 (w/ soln) This is not very comprehensive, but it at least contains a few recommendations and two examples.

Quiz 8
Quiz 8 Solutions (to be posted soon)

Final exam formula sheet. 


Various Math tools:

You can get the standalone flash player here that will let you view *.swf files.
Scroll down towards the bottom of the page under "Flash Player 32 Beta Standalone".
If you are using Internet Explorer, you should be able to view the swf file directly in your browser. Other browsers may or may not allow that.

Here are some flash applets:
3D parametric plotter. Here it is embedded in an html file that should open in any browser potentially.

Here is a MATLAB file for plotting the toroidal spiral.
Here is a generic MATLAB file for plotting parametric curves in 3D (vector-valued functions).

I just discovered this excellent 3D plotting online app: https://www.math3d.org/

I like this site for plotting 2D vector fields: http://math.sduhsd.net:8080/webMathematica/webMathFiles/VectorField2D.jsp

Here is a MATLAB function for plotting vector fields: vectline.m

vectline( {vector field symbolic formula} , {variables [x,y] or [x,y,z]} , {range of variables} , {number of vectors} );

Here is example usage to plot F=<-y x> on [-4,4] x [-4,4] with 9 x 9 total vectors:
syms x y; F = [-y,x]; vectline(F,[x,y],4*[-1,1, -1,1],9); pbaspect([1 1 1]);


Course Plan:

Here is a weekly outline of the course and material covered. This is a tentative plan, but we will likely not vary from this by more than a day or two.

WeekTentative course planHolidays
1/14 to 1/1911.1-11.3no class on Monday
1/21 to 1/2611.4-5, Quiz 1no class on Monday
1/28 to 2/211.5-7, Quiz 2 
2/4 to 2/911.7-8, Exam 1 
2/11 to 2/1612.1-2 
2/18 to 2/2312.4-5, Quiz 3no class on Monday
2/25 to 3/212.5-6, Quiz 4 
3/4 to 3/912.7-8, Exam 2 
3/11 to 3/16 Spring Break, no classes
3/18 to 3/2313.1-2, Quiz 5 
3/25 to 3/3013.3-4, Quiz 6 
4/1 to 4/613.4-5 
4/8 to 4/13Exam 3, 14.1-2 
4/15 to 4/2014.3-4, Quiz 7no class Friday
4/22 to 4/2714.5-6no class Monday
4/29 to 5/4Quiz 8, 14.7-8 
5/6 to 5/11Final Exam 


A Note about the quizzes, exams, and material coverage:

Quizzes cover only the material learned in the previous week or two. Normally this will be roughly one third to one half of a chapter. Each quiz is worth 25 points, and this can be thought of symbolizing that it is roughly one quarter of a regular exam in length. Normally quizzes are from 1-2 pages in length. They are timed for 15 to 25 minutes. The actual content may vary from 1-2 longer problems (e.g. solving an involved integral) to 6-8 short problems (e.g. quick calculations, short answer, checking basic concepts, or multiple choice).

The first 3 regular exams only cover the material from the previous chapter, e.g. Exam 1 covers Chapter 11, Exam 2 covers Chapter 12, and Exam 3 covers Chapter 13. Each regular exam is worth 100 points. Regular exams are normally 4-6 pages long and are timed for 50 minutes. You can use the quizzes as a rough guide for the exams, i.e. a regular exam will be roughly equivalent to four quizzes.

The Final Exam will cover Chapter 14 in addition to being comprehensive over the course. It is timed to 120 minutes, and thus can hypothetically be 2.4x the length of a regular exam. As a general guideline, you can expect it to be roughly equivalent to two complete exams, one covering Chapter 14, and one comprehensive over Chapters 11-13.

These are only general guidelines and are meant to help you prepare for the quizzes and exams. 


Suggested practice problems from the textbook:

Section(s)Long List of Suggested ProblemsShort List of Suggested Problems
11.1(1-16, all) 19, 21, 37, 39, 49, 57, 65, 67, 8017,31,35,45,47
11.2(1-8, all) 9, 11, 13, 19, 25, 31, 33, 35, 43, 47, 53, 57, 61, 65, 749,13,17,21,24,35,39
11.3(1-8, all) 11, 13, 17, 21, 25, 27, 29, 33, 37, 41, 45, 47, 49, 55, 59, 63, 7310,23,31
11.4(1-6, all) 7, 11, 13 – 21, 27, 31, 37, 43, 47, 51, 59, 6515,23,27,31,35
11.5(1-8, all) 11, 15-21, 27, 29, 31, 41, 43, 45, 51, 53, 55, 59, 61, 679,15,21,27,29,31,61,67
11.6(1-6, all) 13, 17, 19, 23, 27, 35, 37, 45, 55, 57, 61, 65, 67, 71, 79, 817,15,23,27,41
11.7(1-6, all) 7, 11, 21, 25, 27, 33, 35, 39, 45, 49, 53, 55, 63, 7513,31,47
11.8(1-8, all) 11, 19, 21, 23, 45, 6317,44
11.9(1-10, all) 13, 23, 27, 53, 59, 6911,42


Section(s)

Long List of Suggested Problems

Short List of Suggested Problems

12.1

(1-10, all) 13, 15, 17, 31, 35, 41, 45

11,15,17,39,47,52,59,63

12.2

(1-10, all) 13, 15, 19, 29, 31-37, 38, 49, 51, 53, 73

13,17,27,29,31,38,48

12.3

(1-10, all) 11, 17, 27, 33, 39, 43, 59, 61, 65, 69

15,27,29

12.4

(1-6, all) 9-27, 33, 41, 45-53, 59, 76-87, all)

11,19,29,47,56

12.5

(1-6, all) 9, 13, 23, 27, 29, 39, 49, 51, 57

7,19,29

12.6

(1-6, all) 7-25, 29, 31, 33, 37, 43, 47, 55-61, 63, 77

11,17,27,43

12.7

(1-8, all) 11, 13, 25, 29, 31, 33, 45

9,17,25

12.8

(1-8, all) 9-33, 37, 45, 49, 55, 61

13,23,43


 

Section(s)

Long List of Suggested Problems

Short List of Suggested Problems

13.1

(1-4, all) 5-31, 33, 37

9,15,21,47

13.2

(1-6, all) 7-15, 19, 25-31, 33-41, 49, 53, 57-65

11,19,27,31,63,72

13.3

(1-6, all) 7, 9, 11, 15, 19, 23, 25, 47, 51, 53, 57,

9,11,23,31,41

13.4

(1-6, all) 7, 11, 13, 17, 19, 25, 27, 31, 35, 37, 39, 41, 49

8,13,15,19,35

13.5

(1-10 all) 11, 13, 15, 21, 25, 29, 31, 35, 37, 43, 45, 53