Fall 2015: Math 251

General Course Policies

The recitation syllabus can be found here.

• Homework will be collected every Thursday in recitation. Assignments will be announced after each Monday's lecture. The full list of assignments can be found here. Only 80% of each homework assignment is required. This means that
  • If the homework assignment has 1-4 problems, do all of them.
  • If it has 5-7 problems, you can skip 1 of them.
  • If it has 8 or more problems, you can skip 2.
• Quizzes will be given approximately every other week. No make-ups will be allowed, but around two quiz grades will be dropped at the end of the semester. Dates and material for quizzes will be announced in advance.
• Maple Labs will be announced in recitation and posted here. They will be due two weeks later, and no late Maple Labs will be accepted.
• Midterm will be given in class on December 3. It will cover integration techniques (Chapter 15).

Online Reviews

• Exam 1. Recording. Passcode: Charnley. Slides.
• Exam 2. Recording. Passcode: Charnley. Slides.
• Final Exam. Recording 1. Recording 2. Passcode: Charnley. Slides.

Extra Lectures

• Section 16.4 Recording. Passcode: Charnley. Slides.
• Section 16.5 Recording. Passcode: Charnley. Slides.
• Section 17.2 Recording. Passcode: Charnley. Slides.
• Section 17.3 Recording. Passcode: Charnley. Slides.

Schedule

1. September 3, 2015: Introduction to Maple. Meet in Tillett Hall 106J1.
2. September 10, 2015: Sections 12.1 - 12.3. Introduction to Vectors, Vector Operations.
3. September 17, 2015: Sections 12.4, 12.5. The Cross Product. Planes in 3-Space.
4. September 24, 2015: Sections 13.1 - 13.3. Vector Valued Functions, Calculus on them, Arc Length and Speed.
5. October 1, 2015: Sections 13.4 - 14.2. Curvature, Functions, Limits, and Continuity in Several Variables.
6. October 8, 2015: Sections 14.3 - 14.5. Partial Derivatives, Differentiability and Tangent Planes, Gradient and Directional Derivatives. Clairaut's Theorem Example.
7. October 15, 2015: Sections 14.5 - 14.7. Gradient and Directional Derivatives, Chain Rule, Optimization in Several Variables.
8. October 22, 2015: Section 14.8. Lagrange Multipliers. Exam Review.
9. October 29, 2015: Section 15.1. Integrals in Two Dimensions.
10. November 5, 2015: Sections 15.2 - 15.3. Integrals over More General Regions, Integrals in 3 Dimensions.
11. November 12, 2015: Sections 15.3, 12.7. Integrals in 3 Dimensions, Cylindrical and Spherical Coordinates.
12. November 19, 2015: Section 15.4. Integrals in Cylindrical and Spherical Coordinates.
13. December 3, 2015: Sections 15.6, 16.1 - 16.2. Change of Variables. Vector Fields. MIDTERM in class.
14. December 10, 2015: Sections 16.2, 16.3, 17.1. Line Integrals, Conservative Vector Fields. Green's Theorem.

Quizzes

1. Quiz 1: September 10, 2015. Quiz. Solutions.
2. Quiz 2: September 24, 2015. Quiz. Solutions.
3. Quiz 3: October 8, 2015. Quiz. Solutions.
4. Quiz 4: October 22, 2015. Quiz. Solutions.
5. Quiz 5: November 5, 2015. Quiz. Solutions.
6. Quiz 6: November 19, 2015. Quiz. Solutions.
7. Midterm: December 3, 2015. Exam. Solutions.
8. Quiz 7: December 10, 2015. Quiz. Solutions.

Homework

1. Homework Set 1: Sections 12.4 - 12.5. Due on September 17.
2. Homework Set 2: Sections 13.1 - 13.2. Due on September 24.
3. Homework Set 3: Sections 13.3 - 13.4. Due on October 1.
4. Homework Set 4: Sections 14.1 - 14.4. Due on October 8.
5. Homework Set 5: Sections 14.4 - 14.6. Due on October 15.
6. Homework Set 6: Sections 14.7 - 14.8. Due on October 22.
7. Homework Set 7: Sections 15.1 - 15.2. Due on November 5.
8. Homework Set 8: Section 15.3. Due on November 12.
9. Homework Set 9: Sections 12.7, 15.4. Due on November 19.
10. Homework Set 10: Sections 15.6, 16.1. Due on December 3.
11. Homework Set 11: Sections 16.2, 16.3. Due on December 10.

Maple Labs

Click here for the list of tentative due dates for all 5 Maple Labs.

1. Lab 0. Background Information. Assignment Sheet. Tips and Tricks. Possible Solution.
2. Lab 1. Background Information. Assignment Sheet. Tips. Individualized Data.
3. Lab 2. Background Information. Assignment Sheet. Individualized Data.
4. Lab 3. Background Information. Assignment Sheet. Individualized Data.
5. Lab 4. Background Information. Assignment Sheet. Individualized Data.
6. Lab 5. Background Information. Assignment Sheet. Individualized Data.