Final info

· Date, time and location: Dec. 9, 1:30-4:20pm, Physics and Astronomy Building, Room A102

· Know your Quiz Section number; your TA’s name and your Professor’s name

· Bring a Picture ID

· Arrive early but do not enter the exam room until you are invited to do so

· You will be seated by your TA section and last name. You will be asked to sign a seating chart.

· You may have one two-sided sheet of notes and a scientific calculator

STUDY GUIDE:

· Midterm I material: Taylor Notes, 12.1-12.4

Practice: Practice Midterm I (Solutions), Midterm I (Solutions), 126B&C Midterm I and Solutions

· Midterm II material: 12.5, 12.6, 10.1-10.3, 13.1-13.4, 14.1, 14.3, 14.4(tangent planes only)

Practice: Sample Midterm I, II (Solutions I, II). Midterm II (Solutions).

· After Midterm II material: 14.4, 14.7, 15.1-15.5

Practice: Sample problems and Answers

· Sample (old) finals: Autumn (also worksheet 7), Spring and Winter 2006 (recommended, to be discussed at the review sessions). Answers to Spring 2006 Final

· And ALSO

- More sample exams (See Math126 Old Exams link). Cautions on old finals: You may ignore questions about osculating planes and circles;
Problem 3 on the Autumn 2005 should ask for the parametric equations (plural) of the line. On the Spring 2005 final, Problem 2 should be
ignored (on a topic we skipped), and in Problem 6, "Maclaurin series" means Taylor series centered at b = 0.

- Quizzes (all quizzes and solutions are posted under Course Materials link)

- Lecture Notes

- Homework

To help you organize the material we have covered, here is a “course at a glance” with some sample problems attached to most topics.

1. Taylor series (Midterm I, #3; HW 4, #1, 3, 5 )

2. Vectors, dot product, cross product, and triple product, 12.1-12.4 (Midterm 1, #5; Autumn 126A&B Midterm 1, #1; Final Spr2006, #3)

3. Equations of lines and planes, 12.5 (Final Spr2006, #4, Midterm II, #2)

4. Quadric Surfaces, 12.6

5. Parametric curves: Area, Arc Length, Surface area, 10.2 ( Final Aut2006, #3)

1. Parametric curves in polar coordinates, 10.3 (Sample Midterm II, vers. 2, #1; Midterm II, #1)

2. Vector functions and parametric curves in space: arc length and curvature, tangent, normal and binormal vectors (T, N, B),
normal planes, 13.2-13.3 (Final Spr2006, #6b; Sample Midterm II, vers. 2, #3; Sample Midterm II, vers. 1, #3; Midterm II, #2)

3. Velocity and Acceleration, 13.4 (Sample Midterm II, vers. 2, #2, 4, Midterm II, #4 )

4. Functions of two variables: partial derivatives, tangent plane, linear approximation, 14.1, 14.3, 14.4 (Sample Midterm II, vers. 1, #5; Autumn Midterm II, #4)

5. Max and Min, 14.7 (Extra practice problems, #1, 2;)

6. Iterated (double) integrals: Riemann sums, Rectangular and Polar coordinates, reversing the order of integration, computing areas, volumes, centers of mass, 15.1-15.5 (Extra practice problems, #3-6; Quiz 7)