Math 225: Calculus III, Spring 2018

Course Documents

• Course Syllabus
• Course Calendar
• Homework Schedule to Exam I
• Homework Schedule to Exam II
• Homework Schedule to Final. Updated April 27th.

Handouts and links by Chapter

1. Chapter 10
• Day 1 stuff: Instructions to put Maple on your computer.
• Group Work, Section 10.1
• Overhead for 24-28, Matching problems
• Day 2 stuff:
  • Intro to Maple (slides we'll discuss)
  • Tutorial for Maple. Work through the first section!
  • Worksheet to use as a template for Quiz 1. (Quiz01Prep.mw)
  • Quiz 1 (Due Friday at Midnight)
2. Chapter 12
• Maple Lab: Dot and Cross products. Maple sheet due Friday, Feb 2 (evening).
3. Chapter 13
• Maple Examples for 13.1 and 13.2 (Ch13_1Maple.mws)
• Maple Example, Implicit Surfaces (Included Feb 14, Ch13_3Maple2.mw)
• PDF version of the Maple output (so you can see it without doing the Maple commands)
• Link to some animated GIFs for 13.3
4. Chapter 14
• Overhead slides for 14.1
• Animations for some of the figures in 14.1
• Figure for the matching (in class)
• Maple file, example for 14.1 (plot level curves) (Ch14_1Maple.mw)
• Examples for Section 14.2
• Graphical example, 14.3
• Graphical example, 14.3 (second example)
• Extra practice in 14.3 (#10, #74, and the algebra from #57)
• Graphs for 14.7 (in class)
5. Chapter 15
   • REVIEW SHEET 1: Integrating powers of sine and cosine (with solutions)
   • REVIEW SHEET 2: Integration by parts (and using a table). Has solutions attached.
6. Chapter 16
   • 16.1: Matching exercises
   • 16.1/Maple: How to plot a vector field in Maple (PDF output)
   • 16.1/Maple: How to plot a vector field in Maple (Maple worksheet)
   • 16.3: Exercises 17-18
   • 16.4: Is it a conservative vector field?
   • An animated flow (16-5)
   • A figure for dot product of flow F with normal vector
   • Two nice websites for looking at curl and divergence (16.5):
     1. Applets about the curl of a vector field
     2. Applets about the divergence of a vector field
   • Handout for parametric surfaces, 16.6
7. Chapter 16, post exam
   • Example of a non-orientable surface (The Mobius strip)
   • Last quiz: There are three Maple problems from the homework to work on. Below are three examples, one for each section.
   • Example for 16.7 (Maple file)
   • Example for 16.7 (PDF file)
   • Example for 16.8 (Maple file)
   • Example for 16.8 (PDF file)
   • Example for 16.9 (Maple file)
   • Example for 16.9 (PDF file)

Exam 1 Materials:

• Exam 1 topics
• Exam 1 Review Questions
• Solutions to the Review Questions (Solution to #4 and #5 corrected, #18 dropped a 2, and #21(e) added)

Exam 2 Materials:

• Exam 2 topics
• Exam 2 Review Questions
• Solutions to the Review Questions

Exam 3 Materials:

Final Exam Review Materials

• Final Exam Review, Question set A
• Final Exam Review A solutions
• Final Exam Review, Question set B
• Final Exam Review B solutions
• Final Exam Review, Question set C
• Final Exam Review C solutions. TYPO: #12, the plane should be y=4. In the last problem, don't compute the flux, but do use the divergence theorem to compute the flux.