Final exam: Tues, Dec 16, 5:10-8:00 PM, WHEELER AUDITORIUM
bring pens/pencils/eraser. (no calculator, no notes, closed book)
know your GSI's name and section number for a point
Review session: Fri, Dec 12, 4:10-6 PM, 2050 VLSB
no office hours Tues, Dec 16
Good luck with all your exams and have a nice winter break!

Homework for Quiz 1 (on Sep 3)

final exam from 1A

Sec. 6.1   #2,4,5,7,10,11,14,17,22,23,25,31,38,41,42,43

Sec. 6.2   #3,6,9,15,19,25

Homework for Quiz 2 (on Sep 10)

Sec. 6.2   #38,41,45,50,51,57,58,60,63,65,67

Sec. 6.3   #2,5,6,8,13,16,19,26,29,33,35,37,39,40,41,44,45,46

Sec. 6.4   #1,9,12,13,17,21,23

Homework for Quiz 3 (on Sep 17)

Sec. 6.5   #1,2,4,6,13,19,25,26,31,34,35,36,37 (see hint below), 38 (see hint below)

Sec. 6.6   #2,3,5,8,11,13,21,22,24,27,29,32,34,43,46,48,51,52 54,58,61
Hints:
for 6.5#37: first use the mean value theorem to show that the graph of a function ƒ satisfying ƒ″(x)<0 lies below the tangent line through the midpoint of the subinterval [x_i-1,x_i] and above the secant line passing through the points (x_i-1,ƒ(x_i-1)) and (x_i,ƒ(x_i)) over this interval.
for 6.5#38: Assume f(x)=Ax³. We already showed that quadratic functions are integrated exactly by Simpson's rule.

Homework for Quiz 4 (on Oct 1)

induction_questions.pdf (last modified: 11:50 PM Sat, Sep 27)

Sec. 8.1   #1,6,7,8,9,12,13,16,20,23,28,31,32,34,37,38,39,41,45,46

plan for this week's lectures:

Thurs, 9/25: mathematical induction.

Tues, 9/30: Sec 8.1 (sequences).

Homework for Quiz 5 (on Oct 8)

Sec. 8.2   #4,7,8,9,13,14,15,18,19,22,24,28,29,31,34,37,40,43,44,45,49

Sec. 8.3   #1,2,3,4,5,8,10,13,16,19,21,26

plan for this week's lectures:

Thurs, 10/2: finish 8.1 (convergence of recursively defined sequences), start 8.2

Tues, 10/7: finish 8.2 (intro to series), start 8.3 (integral/comparison tests)

Homework for Quiz 6 (on Oct 15)

Sec. 8.3   #27,28,29,36,37,41,42

Sec. 8.4   #1,4,5,6,10,11,15,17,18,19,21,22,25,28,29,32,33,35,38,39,40,41

plan for this week's lectures:

Thurs, 10/9: finish 8.3 (comparison/limit comparison), start 8.4 (alternating series)

Tues, 10/14: finish 8.4 (absolute convergence, ratio test, root test)

Homework for Quiz 7 (on Oct 22)

Sec. 8.5   #3,6,9,10,11,12,15,17,19,20,21,25,27,29,30

Sec. 8.6   #1,5,8,9,12,13,15,18,24,25,27,31,32,35,38,39

plan for this week's lectures:

Thurs, 10/16: section 8.5 (power series, radius of convergence, lecture by Prof. Bergman)

Tues, 10/21: section 8.6 (representing functions as power series)

Homework for Quiz 8 (on Oct 29)

Sec. 8.7   #2,3,8,9,12,17,21,25,27,35,39,41,43,49,53,54,57,58,61,62,67,70a

Sec. 8.8   #5,8,10,15,19,23,25,26,29

plan for this week's lectures:

Thurs, 10/23: section 8.7 (Taylor series)

Tues, 10/28: finish 8.7, start 8.8

Thurs, 10/30: finish 8.8, review for midterm

Second midterm: Tues, Nov 4, 11:10-12:30, 2050 VLSB
bring pens/pencils/eraser. (no calculator, no notes, closed book)
know your GSI's name and section number for a point
Review session: Mon, Nov 3, 4-6 PM, 2050 VLSB (no office hours Tuesday)
Midterm with histogram of results (and solutions written up by Peter Mannisto and James Tener): mid2.pdf

Homework for Quiz 9 (on Nov 12)

Chapter 6 review: True/False: 2,6,7,9   Exercises: 5,9,17,31,33,35,45,56

Sec 7.4   #2,5,9,11,13,17,18,25,27

plan for this week's lectures:

Thurs, 11/6:   talk about midterm, lecture on section 7.4 (arclength)

Tues, 11/11:   no class or office hours (veterans day)

Extra office hours:   Thurs, 11/13, 9:15-10:45

Homework for Quiz 10 (on Nov 19)

Sec 7.5   #3,4,5,8,9,13,17a,21a,22b,30,33,37,41,45,48,49,52

Sec 7.6   #2,6,7,11,13,17,21-25,33,34,39,41,43,48,50

plan for this week's lectures:

Thurs, 11/13:   7.5 work, hydrostatic pressure, center of mass

Tues, 11/18:   7.6 introduction to differential equations

Homework for Quiz 11 (on MONDAY, Nov 24)

Sec 17.1   #1,3,7,12,15,18,19,20,25,26,27,29,34

plan for this week's lectures:

Thurs, 11/20:   17.1 second order linear differential equations

Tues, 11/25:   finish 7.6, talk about complex numbers, finish 17.1

supplemental reading on first order equations: ode_notes.pdf (written by Prof. Bergman)

Homework for Quiz 12 (on Wed, Dec 3)

Sec 17.2   #3,4,5,10,13,16,17,18,19,22,23,26,27

plan for this week's lectures:

Thurs, 11/27:   Happy Thanksgiving!

Tues, 12/2:   section 17.2 nonhomogeneous linear differential equations

Homework for Quiz 13 (on Wed, Dec 10)

Sec 17.3   #1,3,5,9,10,12,18

Sec 17.4   #2,5,6,7,8,9,12a (see example 3 p. 448)

plan for this week's lectures:

Thurs, 12/4:   section 17.4 power series solutions

Tues, 12/9:   section 17.3 mass on a spring with forcing and damping, discuss final exam