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Math 251 - Calculus III

Fall 2018

**Instructor:**Prof. Sullivan**Office:**385 Neckers**E-mail:**Prof.Michael.Sullivan (at) gmail (dot) com**Phone:**453-6592**Office Hours:**MWF 11:00 - 1:00, and by appointment.**Section:**#3, 2:00-2:50 MWF, Ag, room 168.**University Information**

- Course Policies
- How to Pass Math 251 on the First Try!
- Homework Assignments
- Homework Guidelines
- Tentative Lecture Schedule

- Review of Algebra
- Completing the Square: Circle Equations
- Completing the Square
- Completing the Square on YouTube
- Old Math 150 & 250 Final Exams

- Solutions to Test 3
- Solutions to Test 2
- Area with Green's Theorem Example [Optional, goes with 13.4]
- Law of the Lever
- Rough Lecture Notes for Section 12.4
- NEW! Double Integral done by computer example.
- NEW! Lagrange Multipliers Example: Notes, Video, Static Images.
- Test 1 Answers.
- Curvature Animation of osculating circle for an ellipse.
- Video on Tangent Planes. (18 min, 16 sec) Text for video. Graphic for video.
- Thinking about multivariable functions [Kahn Academy, Optional Viewing]
- Cross Product Parallelogram Theorem [Goes with 10.4, Optional Reading]
- Lines and Planes [Goes with Section 10.5]
- Maple Computer Examples
- Maxima Computer Examples
- Frenet-Serret formulas and Torsion [Goes with Section 10.8, Optional Reading]
- Second Derivative Test in
*n*variables, by Brian D. Sittinger [Goes with Section 11.7, Optional Reading] - Finding Vector Potentials, [Goes with Section 13.5, Optional Reading]
- Vector Calculus Differential Identities [Goes with Chapter 13]
- Vector Calculus Summary with Examples [Goes with Chapter 13]
- Mixed 3D Examples [Goes with Chapter 13]
- Two Good Books

Test 1 is on 9/19. It covers sections 10.1-11.3.

Test 2 is on 10/24. It covers sections 11.4-12.4. Test 3 is on 11/30. It covers sections 12.5-13.9- Practice Test 3. (Answers included.)

- Practice Final. (Answers included.)

- Department of Mathematics: Tutoring Schedule
- College of Engineering: Check with the Engineering Office.