Final info

· Date, time and location: Dec. 9, 1:30-4:20pm, Kane Hall, Room 210 (Section C), 220 (Section D)

· 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

· See Midterm I info for the general policy on calculators and academic honesty

STUDY GUIDE:

· Midterm I material: Taylor Notes, 12.1-12.4

Practice: Practice Midterm I (Solutions), Midterm I (Solutions), 126A&B Midterm I (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). 126A&B Midterm II (Solutions)

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

Practice: Sample problems and Answers

· Sample (old) finals: 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 two old finals: 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

· Check 126 A&B Final Info page for more practice problems (some with solutions) and study tips

· Check the Office Hours web page for Office hours across all 126 sections. Additional office hours/review sessions for this week
will be announced in class

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 (Final Win2006, N1, N2)

2. Vectors, dot product, cross product, and triple product, 12.1-12.4 (Midterm 1, N5; 126A&B Midterm 1, N1; Final Spr2006, N3)

3. Equations of lines and planes, 12.5 (Final Spr2006, N4)

4. Quadric Surfaces, 12.6

5. Parametric curves: Area, Arc Length, Surface area, 10.2 ( N32 and N57, p. 667)

6. Parametric curves in polar coordinates, 10.3 (Sample Midterm II, vers. 2, N1)

7. Vector functions and parametric curves in space: arc length and curvature, tangent, normal and binormal vectors (T, N, B),
normal and osculating planes, 13.2-13.3 (Final Spr2006, N6b; Sample Midterm II, vers. 2, N3; Sample Midterm II, vers. 1, N3; Midterm II, N5)

8. Velocity and Acceleration, 13.4 (Sample Midterm II, vers. 2, N2, N4)

9. Functions of two variables: partial derivatives, tangent plane, linear approximation, 14.1, 14.3, 14.4 (Sample Midterm II, vers. 1, N5; Midterm II, N4)

10. Max and Min, 14.7 (Extra practice problems, N1, N2; Quiz 7)

11. Iterated (double) integrals: Riemann sums, Rectangular and Polar coordinates, ceversing the order of integration, computing areas, volumes, centers of mass, 15.1-15.5 (Extra practice problems, N3-6; Quiz 8)