# JHR's MA113 page

## MA113 Calculus III

MTWRF 1-2 G221
John Rickert, Associate Professor of Mathematics
Office: G-215A, Crapo Hall
Phone: (812) 877-8473
Campus mail: CM 141
e-mail: john.rickert@rose-hulman.edu
My schedule is online
Moodle page for period 1       period 2
policy       grade weights       Notes       Greek alphabet       Maple review
Some notes on the "constant" acceleration due to gravity.
"basic skills" list for MA111         MA112

Each chapter of the book has review material at the end of the chapter.

### Homework

Today's homework (for tomorrow's class)

Tuesday, December 3: Watch the Polar coordinates video.
For Wednesday, December 4: Watch the polar plots video.
Section 11.3 #5,23,50,57,60,63. Turn in these exercsies on Thursday.
For Thursday, December 5: Turn in the Section 11.3 homework exercises.
Watch the calculus in polar coordinates video.
Section 11.4 #21,25,29,31,34. Turn in these exercises on Friday.
For Friday, December6: Turn in the Section 11.4 homework exercises, #21,25,29,31,34.
Watch the three-dimensional coordinate systems video.
Section 11.4 #17,19; Section 11.5 #7,19,27.

For Monday, December 9: Watch the vectors video.
Section 11.5 #7,23; Section 12.1 #19,35,41,55.
(Note that 11.5#7 is likely to be exactly the same as it was on the previous night's homework. Mathematics is like that.)
For Tuesday, December 10: Watch the dot product video.
Section 12.2 #8,12,25,47,56. Turn in these exercises on Wednesday.
For Wednesday, December 11: Turn in the Section 12.2 exercises.
Watch the cross product video.
Section 12.3 #15,16,23,31,43,45.
For Thursday, December 12: Watch the lines and planes video.
Section 12.4 #13,25,33,37; Determine the volume of the building described in Wednesday's worksheet. A copy of the worksheet is available on Moodle.
For Friday, December 13: Watch the vector functions video.
Section 12.5 #6,27,41,53,73.

For Monday, December 16: Watch the vector integrals and projectile motion video.
Section 13.1 #14,15,23,26.
For Tuesday, December 17: Watch the distance traveled video.
Section 13.2 #17,31,35,38. Turn in these exercises on Thursday, December 19.
For Wednesday, December 18: Watch the curvature video.
Section 13.3 #5,11,18,19.
For Thursday, December 19: Turn in the Section 13.2 Homework.
Section 13.4 #6,10,22,26,28.

Friday, December 20: The average score on Exam #1 was 97.0. Equilvanet grades are A 111-121 B 98-110 C 84-97 D 70-83 F <70.

For Thursday, January 9: Watch the multivariable-functions video. Section 13.5 #1,4,20,29.
For Friday, January 10: Watch the limits-continuity-partial derivative video. Section 14.1 #3,24,31-36. Turn in these exercsies on Monday.
For Monday, January 13: Turn in the Section 14.11 exercises.
Watch the partial derivatives video. Section 14.2 #1,21,43; Section 14.3 #21,30.
You may wish to do a breif review of Chapters 3 and 4. We will be doing analagous problems using partial derivatives.
For Tuesday, January 14: Watch the chain rule video. Section 14.3 #12,55,65,67,81.
For Wednesday, January 15: Watch the gradient video. Section 14.4 #7,25,41,42,45.
For Thursday, January 16: Review for Friday's exam.
Friday, January 17: The average score on Exam #2 was 89.9/130. Equivalent grades are A 110-123 B 95-109 C 75-94 D 55-74 F <55.

For Monday, January 20: Watch the tangent plane video. Section 14.5 #16,19,25,34,35.
For Tuesday, January 21: Watch the max/min video. Section 14.6 #9,19,23,31,53.
The quiz will be a by-hands quiz.
For Wednesday, January 22: Section 14.7 #8,19,23,31,53.
For Thursday, January 23: Watch the Lagrange multipliers video. Section 14.7 #3,16,43,65. Turn in these exercises on Friday.
For Friday, January 24: Turn inThursday's Section 14.7 homework.
Sectin 14.8 #1,16,23,31.

For Monday, January 27: Watch the double integral video.
Section 14.8 #33,38,40.
For Tuesday, January 28: Watch the second double integral video.
Section 15.1 #5,9,11,20,24.
For Wednesday, January 29: Watch the area video.
Section 15.2 #23,35,41,51,61,83.
For Thursday, January 30: Review for Friday's exam. Section 15.3 #8,15,17,20,23. Turn in these exercises on Monday.
Friday, January 31: Exam #3
For Monday, February 3: Watch the polar integral video. Turn in the Section 15.3 exercises.
For Tuesday, February 4: Watch the triple integrals video. Section 15.4 #11,20,24,33,45.
For Wednesday, February 5: Watch the moments video. Section 15.5 #7,21,25,29,41.
For Thursday, February 6: Section 15.6 #3,24,29,33.
For Friday, February 7: Watch the second moments video. Section 15.4 #9; Sec 15.5 #25; Sec 15.6 #25.
For Monday, February 10: Watch the cylindrical coordinates video.
Section 15.6 #7,14,21,27.
For Tuesday, February 11: Watch the spherical coordinates video.
Section 15.7 #4,7,11,15,17.
For Wednesday, February 12: Watch the substitution video.
Section 15.7 #24,27,31,33,38.
For Thursday, February 13: Section 15.8 #3,12,22. Turn in these exercises on Tuesday.
Review Chapter 15 material.
Friday, February 14: Exam #4 average was 129.6/175. Equivalent grades are A 143-158, B 126-142, C 109-125, D 92-108, F <92. .
For Tuesday, February 18: Turn in the Section 15.8 exercises.
Work the exercises at the end of chapter 12, pages 720-721. Bring questionsto class.

### Notes

Today's notes http://www.rose-hulman.edu/~rickert/Classes/ma113/

### Course Policy

Material added since the beginning of class will be in purple
This class will have four in-class exams - most likely during the 3rd, 5th, 7th and 9th weeks.
Exam #1 will take place Friday, December 20.
Note: I don't set grades using a 93/86/77/70 "straight scale" system. I plan to challenge you to excel. This means that the exam averages will generally be lower than what you are used to.
Answers should be explained. The correct answer will be worth 1 point. The rest of the credit comes from correctly explaining how the answer is found. The words "used Maple" are not an explanation and will result in a loss of 1 point. When you use Maple, you must explain what you've done mathematically, e.g., "Set f'(x)=0, solve for x".
The final exam will be given during finals week. If you are making arrangements for travel home, you should make sure that they will not conflict with the final exam schedule. If your parents will be purchasing airline tickets for you, you should contact them and remind them not to schedule you on a flight that might cause you fail a class. There will be two parts to the final exam. For the first part, you will be allowed the use of only a writing utensil. For the second part, you may use clean Maple worksheets and a writing utensil.
The weights for the grade are given below.
There may be two types of quizzes given in class: announced and unannounced.

A stapler is probably a good investment for most of you. Multi-page homeworks should be stapled together, not mutilated.
Place your name and Campus Mailbox number in the upper right-hand corner of your homework. Homework is due at the beginning of class on the day that it is due. You should turn in your homework in a pile on the desk at the front of the classroom. Homework may be turned in later but will be penalized based on just how late it is - typically
1 point off for turned in late during the class,
5% off for being turned in late the same day,
10% off per day. (weekends count for two days) i.e. 10 days later, it's too late to get a makeup homework turned in.
When writing up homework, you should circle (or otherwise clearly indicate) your answers.
It's good to work together, but you should write/type your own homework. Simply copying another person's work or Maple file is not acceptable.
If the homework is on a worksheet that is passed out to the class, you will generally be expected to write your answers on a separate sheet of paper, in a well-organized fashion. Answers should be written on the worksheet only if answer blanks have been specifically provided. The grader and I reserve the right to return as unacceptable any homework that is inadequately prepared. (full of scratch work, problems out of order, submitted on crumpled or fringed paper, irrelevant information about other topics is written on the paper)
If you have any questions while I'm not around, you may e-mail me at john.rickert@rose-hulman.edu and I will reply as soon as I can.

You should come to class prepared. This means that I expect you to have done the homework, brought your book to class and launched Maple at the beginning of class.
you have a cell phone, please make sure that it does not ring audibly during class. Phone calls should, in general, not be answered during class.

• If you don't understand something, ASK
• If I'm going too fast, STOP ME. I enjoy mathematics. When I get on a roll, I tend to keep going.
• SHOW YOUR WORK. The correct answer will only be worth 1 point. I want to verify that you understand the process.
• If you are having problems understanding the material, see me or go to the learning center.
I will assign some group' projects in this class. Groups will consist of either three or four members. Write-ups from smaller or larger groups will not be accepted unless prior approval has been given.
Write-ups should be neatly presented. Write-ups returned on the information sheet handed out to the groups will not be accepted. Write-ups handed in at the end of class may be hand-written. Write-ups for work outside of class should be typed. Maple code may be included as part of an appendix or in figures, but should not be considered as a formal' write-up. Similarly, `scratch-work' is unacceptable. Neatly written partial results may be turned in, but scribbles will reduce your grade.
The following errors are taboo. If you make them, do not expect any credit on the problem
• Volume and area must be positive
• If your computation produces a area or volume that is negative or complex, you cannot simply erase the negative sign or imaginary part. You must set up the problem correctly
• a vector cannot be equal to a scalar
• a differential cannot be equal to a non-differential
• an equation has an =, and expressions on both sides of the =.
• Limits on an integral cannot depend on the variable being integrated
• Limits on an iterated integral cannot depend on interior variables
• When evaluating an integral for which you already know the value, if you've set up an incorrect integral and pretend to evaluate the integral by simply copying the known value, rather than evaluating the integral and commenting on the difference, you should not expect any credit.

The basic "by hands" skills:
• Basic arithemtic
• Algebra: manipulation of terms, solutions to quadratic equations and systems of linear equations, manipulation of exponentials and logarithms
• Geometry: knowledge of area and volume rules for simple shapes; triangles, parallelograms, trapezoids, circles, cubes, spheres, pyramids
• Trigonometry: maipulation and evaluation of trigonometric functions and their inverses
• Vector arithmetic, including evaluation of dot products and determing the angle between two vectors
• Deriviatives: partial derivatives of the elementary functions
• Integration: evaluation of iterated integrals of elementary functions
The elementary functions are: polynomials, trigonmetric functions and their inverses, exponential functions, and logartihms.

### A summary of the grade weights

There will be four in-class exams worth 12.5% each
The final exam will be worth 25%
Quizzes and worksheets will be worth 15%
Homework will be worth 10%
Extra credit that is earned will be added on to your grade after the curve has been determined.

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