Math 308/513 - Fall 2018, TR: 2:20-3:35, BLOC 128
First day syllabus: Math308-syllabus
Instructor: Bojan
Popov, Office: Blocker
507B
Email:
popov"at"math.tamu.edu
Office Hours: TR 1:00-2:00, or by appointment (email me and I will reply to you in the next 24 hours)
Help sessions for Math 308: Tuesday and Wednesday, 8-10pm in Blocker 161
Computer assignments online help
Dfield and Pplane programs for plotting direction fields and phase
portaits by John C. Polking
Dfield/Pplane user manual by Nancy Chen
Instructions and examples for using the Matlab command "dsolve" to solve
differential equations
Instructions and examples for using the Matlab command "ode45" to solve
differential equations
Class schedule and suggested homework problems for Fall 2018 (updated after
every class):
Lecture 1: Tuesday, August 28. We covered 1.1, 1.2 and 1.3. HW problems: p.15/
1,2,3,4,9 and p.25/1-20
Computer assignments #1, due September 6
Lecture 2: Thursday, August 30. We covered 2.1 and 2.2. HW problems: p.25/1-20 and p.39/1,3,13-19,33
Lecture 3: Tuesday,
September 4. Quiz 1 (15 min.) and section 2.3. HW problems: p.47/1,3,5,6,26,29
Lecture 4: Thursday, September 6. We covered 2.4 and a part of 2.5. HW problems: p.75/1,3,5,7,9,13,15,25,26,27
Lecture 5: Tuesday,
September 11. We covered sections 2.5 and 2.6. HW problems:
p.88/1,3,7,8,9 and p.99/1,3,5,13,15,21
Lecture 6: Thursday, September
13. We covered sections 2.7, 3.1 and 3.2. HW
problems: p.144/1,3,5,9,10,24; and p.155/3,7,9,17,25,27,38
Lecture 7: Tuesday, September 18. Quiz 2 (over
2.4-2.6) We covered sections 3.3-4. HW problems: p.163/1,3,5,7,8,9,17,18,27 and p.171/5,9,13,18,23,25
Computer assignments #2, due September 27
Lecture 8: Thursday, September 20. We covered sections 3.5 and 3.6.
HW problems: p.183/4,6,10,17,19,21,23,25 and p.189/1,3,5,612,21
Lecture 9: Tuesday, September 25. We covered Section 3.7 and 3.8. HW problems: p.202/1,3,6,7,13,14,15,19,24
Lecture 10: Thursday, September 27. Review for Exam 1: First
solve the two quizzes again, then look at:
Section 1.3: p.24/5,21,23; Section 2.1: p.40/13; Section 2.2: p.47/7;
Section 2.4: p.76/11,13; Section 2.5: p.89/10,13; Section 2.6: p.101/7,9
Section 3.1-2: p.144/15 and p.155/7,24; Section 3.3:
p.163/19,22; Section 3.4: p.171/11,12;
Section 3.5: p.184/10,11; Section 3.6: p.190/17; Section 3.7: p.203/7
Solutions of an old exam #1: Exam1-page1, Exam1-page2, Exam1-page3, Exam1-page4, Exam1-page5
and one extra problems from 3.7-8: Quiz 1 solution Quiz 2 solution Old quiz from section 3.7
Lecture 11: Tuesday, October 2. Exam 1.
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Lecture 12: Thursday, October 4. We covered sections 4.1 and 4.2. HW problems
p.224/1,5,11,15 and p.231/5,6,11,37,39
Lecture 13: Tuesday, October 9. We covered Section 6.1. HW problems: p.311/3,
5ab, 12,15,16
Lecture 14: Thursday, October 11. Quiz 3 (over 4.1 and 4.2) We
covered Section 6.2. HW problems: p.320/1,3,6,8,10,11,15,18,21,23
Lecture 15: Tuesday, October 16. We covered Section 6.3. HW problems: p.328/1,2,5,7,10,12,14,15,17,21,23
Lecture 16: Thursday, October 18. We
covered Section 6.4. HW
problems: p.336/1,2,3,7 and
p.343/1,2,3.
Lecture 17: Tuesday, October 23. We covered Section 6.5 and 6.6. HW problems:
p.350/3,5,6,8,11,17 -- Here is a table of Laplace transforms you
can use.
Lecture 18: Thursday, October 25. Quiz 4 (over 6.3-4). We
covered Section 5.1 and 5.2. HW problems p.253/1,3,7,13,17,21 and p.263/1,3,7,9
Lecture 19: Tuesday, October 30. We
covered Section 5.2 again and 5.3. HW problems p. 269/1,3,5,7
Lecture 20: Thursday, November 1. Quiz 5 (over 6.5-6.6). We
covered Sections 7.1 and 7.2. HW problems:
p.363/1,2,3,4,5,6,17,18 and p.376/1,2,10,11,21,22,23,25
Lecture 21: Tuesday, November 6. Review for Exam 2.
Section 4.1/p.225/21,22; Section 4.2:p.232/12
Chapter 4: page226/11,15 and p.233/11,39
Chapter 6: page320/11; p.328/7,15; p.336/5,9; p.343/3; p.350/13,14 and our table of laplace transforms
Chapter 5: p.253/1,3,7,13,17,21 and p.263/1,3,7,9 and p. 269/1,3,5,7
Solutions of old quizzes: OldQuiz 5, OldQuiz 6, OldExam2-page4, OldExam2-page5
Solutions of our quizzes: Quiz3, Quiz4, Quiz5
Lecture 22: Thursday, November 8. Exam
II
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Lecture 23: Tuesday, November 13. Section 7.3. HW problems:
p.388/1,3,5,16,17
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Bonus Machine Problem, due before or on December 5, 2018
Step 1. Read 2.7 and implement
Eulers method (see page 104) for Example 1.
Reproduce table 2.7.2 and
make sure that your method works for a general step size h. Try problem
#16 on page 110 next.
Step 2. Read 8.2 and implement the improved Euler method
described on page 465. Reproduce Table 8.2.1 on page 455.
Matlab links:
basic
Matlab and another Matlab
page with examples, read the
html files and the .m files
Step 3. Write a report in which you include:
(a) Your source code;
(b) Compare the exact solution of Example 3, page 108 with your
numerical solutions (Euler and Improved Euler) as it is done in Table
2.7.3. Use mesh size h=0.01 for both methods;
(c) Do the same for Example 1 on page 453, see table 8.2.1 on
page 455.
Note that both of your tables will have 3 columns: Euler, Improved
Euler, Exact solution and many rows (6 rows for (b) and 9 rows
for (c))
Here are sample matlab files for
that project: Exact solution,
function for computing exact solution, Euler method, function for Euler RHS
You need to put all of the above files in your working directory for the main code
to work and add this directory to the matlab path.
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Lecture 24: Thursday, November 15. Quiz 6 (over 7.3) Sections 7.4-5. HW problems: p.395/6,7 and p.405/1,2,7,15, 24ab,25ab,29
Lecture 25: Tuesday, November 20. Sections 7.6, 7.7 and 7.8. HW
problems: p.417/1,3,5,7,9,11 and p.427/1,3,7
Lecture 26: Tuesday, November 27. Sections 7.7 and 7.8. HW problems: p.428/1,3,7 and p.436/1,5,7,10
Lecture 27: Thursday, November 29. Quiz 7 (over 7.5) Sections 7.9. HW problems: p.439/1,7; and machine problem discussion.
Lecture 28: Tuesday, December 4, general review. Machine Problem is due on December 4, extended until December 5, 2018.
Solutions of old quizzes (2015): Quiz 4, Quiz 5, Quiz 6, Quiz 7
Solutions of old exam1 (2015): Exam1-page1, Exam1-page2, Exam1-page3, Exam1-page4, Exam1-page5
Solutions of old exam2 (2015): Exam2-page1, Exam2-page2, Exam2-page3, Exam2-page4, Exam2-page5
Solutions of our quizzes: Quiz3, Quiz4, Quiz5, Quiz6, Quiz7
Solutions of our exam1: Exam1-page1, Exam1-page2, Exam1-page3, Exam1-page4, Exam1-page5
Solutions of our exam2: Exam1I-page1, Exam1I-page2, Exam1I-page3, Exam1I-page4, Exam1I-page5
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Final Exam: December 12, 2018, 1:00-3:00 p.m. in our classroom.
Cumulative exam with six or seven problems, at least three of them will be similar to exam one and two.
You will definitely have a problem from sections 7.6 and 7.8 on the final
Please verify your grades on ecampus
I will have extra office hours on Tuesday morning, December 11, from
10:00am to 11:00am -- because I have a final in the afternoon (1-3pm)
Grade will be based on: two exams
(100pts each), Quiz grade (100pts with two quizzes dropped), Machine
problems (50pts), Final Exam (150pts)
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