Math 307H - 2012

Math 307 H - Introduction to Differential Equation – Autumn 2012

MWF 12:30-1:20, THO 119

(Please PRESS F5 to refresh the page. Last modified of the website: 12/13/2012 11:38 AM)

Instructor: Huy Tran

Office: C-018, Padelford Hall, next to the C-wing elevator, Lower Level (LL), same floor with Student Service Office.

Email: tvhuy at math dot washington dot edu

Office hours: Mon 1:30-2:20, Tue 10:30-11:30am or by appointment

HW1 (due Wed 10/3):

section 2.1: 5, 7, 8, 16, 20, 22, 30

section 2.2: 7, 8, 9(a), 13(a), 18(a), 24

HW2 (due Wed 10/10):

2.2: 25, 27, 30, 31 (a,b),

2.3: 2,6, 9, 13, 29

2.4: 1, 3 , 5,

HW3 (due 10/24):

3.1: 3, 5, 16, 17, 20, 22,

3.3: 9, 14, 20, 21, 35, 42

3.4: 6, 10, 11, 14, 18

HW4 (due 10/31)

3.3: 17, 37

3.4: 16, 23, 28, 29

3.5: 3, 4, 8, 12, 14, 18, 27

HW5 (due 11/7)

3.4: 26, 27, 30

3.5: 6, 7, 13, 17

3.7: 5 , 7

3.8: 5, 10

HW 6 (due 11/28) do following problems but turn in those in [brackets] only

6.1: 1 to 24, [1], [10], [14], [17]; 25 to 27 if you have time and want to challenge yourself.

6.2: 1 to 26, [4], [8], [16]

Notice that there are 2 points for nice presenting and stapling hw.

Two (2) extra credits for students who do all problems with nice presentation (not only those in brackets). Tell me if you do that. This one is due 12/5

HW7 (due 12/5)

6.3: 1 to 33, [2], [4], [8], [12],[16], [17], [20], [21]

6.4: 1 to 13, [3], [5], [13]

Again, two (2) extra credits if you do all problems, due Friday 12/7. Tell me if you do that.

Announcement:

· [12/13] Final exam and solution. Merry Christmas to everybody!

· [12/6] Hints for the final practice

There are about 10-11 questions in the final.

· [12/5] The Center for Learning and Undergraduate Enrichment is having a review session for the Math 307 final on Sunday, December 9. This review will take place in room 288 of Mary Gates Hall from 8:00-10:00 pm. The review will be held by Kyle Nyvall, one of the CLUE math tutors.

· [12/3] Final practice: see the left column. On Wednesday & Friday, we’ll work on this final practice. There are hints.

· [11/26] If you don’t know how to compute Laplace transform of sin (at) and cos at, you should meet me right away!

No quiz this week.

Practice finding inverse Laplace transform

· [11/25] Please read partial fraction method and this note.

If you have questions about problems in textbook/homework, please email me or bring questions to the class.

· [11/21] Please read all examples in sections 6.1, 6.2

· [11/4] Math Around Campus: Friday, Nov 9, 2012, Kane Hall, 210

· [10/27] Topics review for chapter 3

· [10/26] Tips: Solutions for problems in 3.4 & 3.5 are getting more tedious and lengthier. The more you practice, the better you follow the steps of solutions, the less algebra mistakes you make.
-Write solutions slowly, one line by one line.
-Don’t do more than 2 algebra computations from one line to other.
-Simplify expressions, functions as soon as possible.

-Group ‘common’ factors.
- My sample solution for 3.5.2

-More reference for finding general solutions using undetermined coefficient method: prob 5 of this final, prb 2 of this, prb 4 of this, prb 2 of this, prbs 1 and 2 of this

-Problems about reduction of order: pr5 of this, pr4 of this

· [10/19] If you have feedback, you can anonymously send it to me here

· [10/14] partial fraction method

· [10/13] problems to review in section 2.3: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 14, 15, 20, 21, 22, 23, 24, 26, 28.

Please form a group to study together. It’ll help you learn faster and easier!

My office hours next week: Tue (10/16) from 10-12.

· [10/11] Sticking the Landing: Math’s role in the landing of the rover Curiosity.

Forecasting Weather, Describing the Oceans (podcast)

· [10/10] Midterm 1 focus on 2.1, 2.2, 2.3, 2.4, 2.5 and 2.7.

· [10/10] Problems to practice

Section 2.7: (a), (b) and (d) of 1 to 4

Section 2.5: 1 to 13, 15, 16, and 17.

Section 2.1: part (c) of 1 to 12; 13 to 20; 27 to 32.

Section 2.2: 1 to 8; part (a) and (c) of 9 to 16; 21 to 28; 31 to 38.

Section 2.3: mixing (tank, salt, chemical) problems; compound interest; throwing, launching, falling objects under the effects of gravity and (air, water) resistance.

Section 2.4: 1 to 16.

· [10/9] skip 2.3.6 in homework 2 since it uses a physics law that I haven’t taught (Conservation law, kinetic formula).

-a LOT of people make the same mistake:
ln (y) = t+c implies y = e^t + c. This is WRONG!!!

Please REREAD (1)-(8) in review

-g = 9.8m/s^2 or 78,545 mi/hr^2. You may use this for problem 2.3.29

· [10/8] we will have a 10-min quiz on Wed 10/10, focusing on 2.2. Homework is a good source to practice.

-You should make friends and form a group study to do homework, review lectures together.

-2.1-2.3 review for 307 winter 2012

· Fri, 10/5: on next Tuesday, I will hold office hours from 10-12.

· Thur, 9/27: we will have a 10-min quiz on Mon 10/1, focusing on section 2.1. Syllabus changed.

· Wed, 9/26: discussion board. I encourage you to post your question about homework here.

-Hw1 section 2.1: 5, 7, 8, 16, 20, 22, 30

Section 2.2: 7, 8, 9(a), 13(a), 18(a), 24

due next Wed

·         Tue, 9/25: change office hour on Weds.
   -Program to draw direction fields: http://alamos.math.arizona.edu/ODEApplet/JOdeApplet.html
   -Example to type in: dy/dx = 1/2*exp(x/3)-y/2
             min x: -1, max x: 6; min y: -2, max y: 4
     Also try to click on the graph. Compare with Figure 2.1.1 page 56
   -Review