Homework

sample first midterms from previous 1B courses

sample second midterms from previous 1B courses

sample final exams from previous 1B courses

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)=Ax^{3}. We already showed that quadratic functions are integrated exactly by Simpson's rule.

First midterm: Tues, Sep 23, 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, Sep 22, 4-6 PM, 2050 VLSB (no office hours Tuesday)

Midterm with histogram of results (and solutions written up by Matthias Goerner): mid1.pdf

- 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