MA 26200, Fall 2016
General information:
For a description of the course, including the grading policy, please consult the course syllabus. Students are responsible for reading the syllabus and being aware of all the course and university's policies. The ground rule of this course can found on the course webpage: http://www.math.purdue.edu/MA26200/.
Contact information and office hours:
Lecturer's office: MATH 850
Lecturer's Email address: shao92@purdue.edu
Lecturer's office hours and location: Monday 1:00pm-4:00pm or by appointment, MATH 850.
Lecturer's office phone: 496-7968
TA's office: MATH 441
TA's Email address: katz5@purdue.edu
TA's office hours and location: Tuesday 9:00am-11:00am, MATH 441
Textbook:
Differential Equations and Linear Algebra Package Purdue University, by Stephen W. Goode and Scott A.
Annin, 1st edition
Webassign:
Login to Webassign from http://www.webassign.net/purdue/login.html by using your purdue careeer account information.
Click here for an instruction to using Webassign. You may also find helpful information from http://intranet.math.purdue.edu/webassign
Useful Resources:
For a better idea of what will be on the final, see the following link to the past exam archive of MA 26200: http://www.math.purdue.edu/academic/courses/oldexams?course=MA26200
If typically you prefer learning things by seeing tons of examples, you should have a look at the
textbooks "Schaum's outline of Differential Equations" and "Schaum's outline of Linear Algebra"
(or one of their variants), which contains more than 1000 problems solved.
Exams:
| Description | Date | Location | Remarks |
|---|---|---|---|
| Midterm Exam 1 | Oct 4 8:00-9:00pm |
RHPH 172 | Covering all the materials up to (and including) Section 3.3 |
| Midterm Exam 2 | Nov 14 8:00-9:00pm |
RHPH 172 | Covering all the materials from (and including ) Section 4.2 up to ( and including) Section 6.5 |
| Final Exam |
December 16 8:00-10:00 am |
STEW 130 |
Announcements:
I will hold office hours from 12-3pm on Wednesday, Sept. 7.
I will hold extra office hours from 4:00-5:30pm on Nov. 30 and Dec. 7.
I will hold extra office hours from 1:00-3:00pm on Dec. 13 and Dec. 15.
Homework assignments and schedules:
Below is a schedule for the course. This schedule is subject to change, and therefore you should check this webpage frequently.
| Date | Sections | Webassign HW | Hand-graded HW | HW due in class | Remarks |
|---|---|---|---|---|---|
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Aug 22 |
1.1, 1.2 |
p8: T/F 4,5,9; P 2,3,5 |
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Click here for a list of useful trigonometric and integeral formulas |
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Aug 24 |
1.2, 1.4, 1.5 |
p18: P 20,22,36 p40: T/F 3,7; P4,6,11,14,18,27 p47: T/F 3,6; P2,6,14 |
p18: 24 p40: 23 |
Examples Click here for an application of differential equations to cosmological science Click here for more details on the change of unknown constants in separable differential equations |
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Aug 25 |
Recitation |
No quiz | |||
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Aug 26 |
1.3 |
p30: T/F 1,3; P 3,6,16,34 |
p30: 14 |
Click here for notes on the Logistic Population Model Click here for some remarks on the Existence and Uniqueness Theorem |
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Aug 29 |
1.6, 1.7 |
p55: T/F 2,4; P2,6,14,18,30 |
p56: 25 p65: 7 |
Click here for the notes for Electirc Circuit |
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Aug 31 |
1.8 |
p75: T/F 3,5,7; P12,18,26,30,38,50 |
p76: 56 |
Examples | |
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Sept 1 |
Recitation |
1.1-1.5 | |||
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Sept 2 |
1.9 | p89: T/F 3,6,9; P4,8,11,18,24,28 | p89: 30,31(a) | Examples | |
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Sept 7 |
1.11, 1.12, 2.1 | p103: P1,4,6,10,14 p108: P1,42 |
p103: 19(a)(b) p108: 46(a)(b) |
Click here for some exercises of Chapter 1 |
|
|
Sept 8 |
Recitation |
1.6-1.9 | |||
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Sept 9 |
2.1, 2.2 | p118: P8,11,22 p130: T/F 5,7,8; P4,8,19 |
p118: 27 p131: 34 |
Click here for the proof of skew-symmetric matrices | |
|
Sept 12 |
2.2, 2.3 | p130: P16,17,27,42 p138: T/F 4 |
p131: P18 p138: P11 |
Click here for the missing proofs in Section 2.2 and some other related results | |
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Sept 14 |
2.4 |
Click here for an algorithm of reducing a matrix to RREF Click here for some hints for Problem #34 on page 132. Click here for the hand-written solutions to the exercises for Chapter 1. |
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Sept 15 |
Recitation |
1.11, 1.12, 2.1, 2.2(Sept 9) | |||
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Sept 16 |
2.4, 2.5 |
p149: T/F 4,5,6,8,9; P3,6,7,20,22,25 |
p149: 11,13 |
Examples | |
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Sept 19 |
2.5, 2.6 |
p159: T/F 2,5,6; P2,10,18,22 |
p159: 23, 26,47 |
Click here for the proof for the uniqueness of matrix inverse. |
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Sept 21 |
2.6 |
p170: T/F 2,5,6,7,9; P6,18,20 | p170: 26 | Examples | |
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Sept 22 |
Recitation |
2.2(Sept 12), 2.3, 2.4 | |||
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Sept 23 |
3.2 |
p209: T/F 1,2,3,5; P1,6,20,21,24,30,35 | p209: 41,54 | Exam I Sample | |
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Sept 26 |
3.3 |
p222: T/F 4,5,6,7; P7,9,15,17 | p222: 20,21 | Supplementary Reading: Vander Monde Determinant | |
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Sept 28 |
3.3, 4.2 |
p222: P22,27,36,42,45 | p222: 44 |
Click here for the written solutions to Exam I Sample Click here for a proof of the Cramer's rule |
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Sept 29 |
Recitation |
2.5, 2.6, 3.2 | No quiz | ||
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Sept 30 |
4.2, 4.3 |
p249: T/F 2,3,6,7; P1,2,3,5,12 p257: P3,5,6,20 |
p249; 16 p257: 18,24 |
Click here for the notes on some properties of vector spaces (important) Click here for more examples/counterexamples of vector spaces |
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Oct 3 |
N/A |
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Oct 5 |
4.3, 4.4 |
p257: T/F1,2,5,7,8; P22 p265: T/F 1,3,8,10; P1,2,3,8 |
p265: 9,13 | Examples | |
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Oct 6 |
Recitation |
3.3 | |||
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Oct 7 |
4.4, 4.5 |
Click here for the solutions to Exam 1 | |||
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Oct 12 |
4.5, 4.6 |
p279: T/F 1,2,3,5,8; P7,8,14,30 | p279: 32,36 | Examples | |
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Oct 13 |
Recitation |
4.2-4.4 |
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Oct 14 |
4.6 |
p291: T/F 4,6,7,11; P3,4,8,12 |
p291: 6,17 |
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Oct 17 |
4.8, 5.1 |
p291: 19,23,28 p306: T/F 4,5; P8,10 |
p291: 24 p306: 12 |
Click here for the Review notes of Chapter 4 |
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Oct 19 |
5.1 |
p351: T/F 2,4,5; P1,4,11,14,23b |
p351: 29,30 | Examples |
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Oct 20 |
Recitation |
4.5, 4.6 (Oct 14) | |||
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Oct 21 |
5.3 |
p368: T/F 1,2,3; P1,2,3,17 |
p368: 14 | Examples |
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Oct 24 |
5.6 |
p398: T/F 2,3,4,5,7,9; P5,7,9,15,28 |
p398: 31,32 |
Click here for some skipped proofs |
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Oct 26 |
5.7 |
p406: T/F 2,4,5,6; P1,3,5,7,19 | p406: 29 |
Click here for the review notes for Chapter 5 Click here for some hints for homework #29 |
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Oct 27 |
Recitation |
4.6 (Oct 17), 4.8, 5.1, 5.3 | |||
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Oct 28 |
6.1 |
p458: T/F 3,7; P1,3,5,6,9,13 |
p459: 32,36 | ||
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Oct 31 |
6.1, 6.2 |
p458: P31 |
p459: 33 |
Click here for the algorithm for finding trial solutions Click here for the proof for rotation matrix |
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Nov 2 |
6.2 |
p468: 17,19,27,35 |
p469: 26,37,39 | ||
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Nov 3 |
Recitation |
5.6, 5.7, 6.1(Oct 28) | |||
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Nov 4 |
6.3 |
p480: T/F1,2,3,5,8 |
p480: 20,23 |
Exam II Sample Click here for some notes on Linear Algebra |
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Nov 7 |
6.3, 6.5 |
p480 P1,3,4,17,19,21,26 p495: T/F 2,4,5,8,9; P1,2,3,4,5 |
p480: 29,31
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Click here for the solutions to Exam II Sample Click here for some exercises on Linear Algebra and solutions |
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Nov 9 |
6.7 | p512: P1,2,4,5,16 | Click here for some supplementary reading for the Green's function | ||
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Nov 10 |
Recitation |
6.1(Oct 31), 6.2 6.3(Nov 4) |
No quiz | ||
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Nov 11 |
N/A |
Review Session for Exam 2 | |||
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Nov 14 |
N/A |
Q&A Session for Exam 2 | |||
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Nov 16 |
6.7 | p512: P19,23,28,29 | p512: 21 |
If you have problem with #16 of Section 6.9, click here. Click here for the solutions to Exam II |
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Nov 17 |
Recitation |
6.3(Nov 7) |
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Nov 18 |
6.9 |
p528: P1,3,9b,15,17 | p528: 6,16 | ||
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Nov 21 |
N/A |
No class meeting | |||
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Nov 28 |
7.1 |
p540: T/F 6; P1,3,9,15,17 | p540: 7,19 |
Examples for Section 7.1 Examples for Section 7.2 |
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Nov 30 |
7.2 |
p545: T/F 2,4,5; P12 | p545: 1,8 | ||
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Dec 1 |
Recitation |
6.7, 6.9 |
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Dec 2 |
7.3 | p551: P1,3,4 | p552: 7 | Click here for written solutions to Spring 2002 Final Exam | |
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Dec 5 |
7.4 | p560: T/F 2,3,4,5; P1,3,17 | p560: 20,22 | Click here for written solutions to Fall 2002 Final Exam | |
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Dec 7 |
7.6 |
p576: T/F 3,4; P1,3,8 |
Click here for written solutions to Spring 2015 Final Exam Click here for the correct version of #6 in Fall 2015 Final Exam Click here for notes on the structures of various solution spaces |
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Dec 8 |
Recitation |
7.1-7.4(Hand-graded) | Click here for written solutions to Fall 2015 Final Exam | ||
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Dec 9 |
7.1-7.4, 7.6(Webassign) | Review Session for Final Exam |
Feedbacks:
Students are encouraged to bring suggestions and to discuss with the instructor about any concerns they may have, including anything they think is not handled properly in the course. But if you do not feel comfortable about doing that, here you have the opportunity to send some anonymous feedback. Click here to enter your feedback for this course.