This is an old revision of the document!
====== Math 527: Differential Equations with Linear Algebra ====== ^ ^ sections ^ office hours ^ location ^ | John Gibson | | M 3:30-4:30pm, W 2:30-3:30pm | N309E Kingsbury Hall | | Elizabeth Wu | 1-3 |T 9-10am, W 9-10am | N318 Kingsbury Hall | | Kyle Gray | 4-6 | M 10-11am, T 9-10am | W351 Kingsbury Hall | | Mimi Szeto | 7-9 | M 10-11am & 2-3pm, F 2-3pm | N210 Kingsbury Hall | Lecture: Spaulding 120, MWF 1:10-2:00pm [[gibson:teaching:spring-2015:math527:text | Suggested texts.]] [[gibson:teaching:spring-2015:math527:syllabus | Syllabus:]] lecture topics by date, homework due dates, exam dates [[gibson:teaching:spring-2015:math527:policies | Policies:]] on homework, exams, total grade calculations, etc. [[gibson:teaching:spring-2015:math527:advice | Advice:]] some thoughts on getting good grades and making the most of your education. ---- ===== Notices ===== * **04/10/2015: No homework assigned for Tuesday April 14th.** Rather than assigning new homework based on recent material I thought it best to give you time to review power series and Laplace transforms methods as a whole, in preparation for exam 3. Practice problems will be posted shortly. * 02/09/2015: Exam #1 will take place as scheduled on Wed. 02/11/2015. Please see the [[gibson:teaching:spring-2015:math527#exams|Exams]] section below for exam room assignments and other important information. * 01/26/2015 IMPENDING BLIZZARD: It is likely that classes will be canceled tomorrow due to snow. In that case, homework will be due in recitation sections Thursday 01/29/2015. * 01/21/2015: Add/drop forms for this course, including changes in recitation sections, are approved and signed by the Math Dept office, W383 Kingsbury Hall. The instructor and TAs cannot sign these forms. * 01/20/2015: You are responsible for reading and understanding the course [[gibson:teaching:spring-2015:math527:policies]] and [[gibson:teaching:spring-2015:math527:syllabus]]. ---- ===== Homework ===== [[:gibson:teaching:spring-2014:math527:policies#homework|Homework policies.]] Homeworks are due in recitations on Tuesdays, with the exception of HW11 and HW12, which are due on Thursdays. ^ homework ^ due ^ solutions ^ topic ^ notes ^ | {{:gibson:teaching:spring-2015:math527:hw1.pdf|HW1}} | Tue 01/27 |{{:gibson:teaching:spring-2015:math527:hw1solns.pdf|}} | separation of variables | some solutions are implicit | | {{:gibson:teaching:spring-2015:math527:hw2.pdf|HW2}} | Tue 02/03 |{{:gibson:teaching:spring-2015:math527:hw2solns.pdf|}}| 1st order linear | | | {{:gibson:teaching:spring-2015:math527:hw3.pdf|HW3 }} | Tue 02/10 | {{:gibson:teaching:spring-2015:math527:math527hw3solns.pdf|hw3solns.pdf}}| exact equations | | | {{:gibson:teaching:spring-2015:math527:hw4.pdf|HW4 }} | Tue 02/17 |{{:gibson:teaching:spring-2015:math527:math527hw4solns_-_feb_18_2015_9-33_am.pdf|hw4solns.pdf}} | applications of 1st order ODEs | | | {{:gibson:teaching:spring-2015:math527:hw5.pdf|HW5 }} | Tue 02/24 |{{:gibson:teaching:spring-2015:math527:hw5solns.pdf|}} | 2nd order linear homogeneous | | | {{:gibson:teaching:spring-2015:math527:hw6.pdf|HW6}} | Tue 03/03 |{{:gibson:teaching:spring-2015:math527:hw6solns.pdf|}} | nonhomogeneous equations: judicious guessing | | | {{:gibson:teaching:spring-2015:math527:hw7.pdf|HW7}} | Tue 03/10 |{{:gibson:teaching:spring-2015:math527:hw7solns.pdf|}}{{:gibson:teaching:spring-2015:math527:prob5partd_addendum.pdf|addendum}} | variation of parameters | For problem 4, don't solve the initial value problem. Just find the general solution. [[:gibson:teaching:spring-2015:math527:hw7-notes | Use tables of integrals!]] | | {{:gibson:teaching:spring-2015:math527:hw8.pdf|HW8}} | Tue 03/31 |{{:gibson:teaching:spring-2015:math527:hw8solns.pdf|}} | power series, Laplace transforms | | | {{:gibson:teaching:spring-2015:math527:hw9.pdf|HW9}} | Tue 04/07 |{{:gibson:teaching:spring-2015:math527:hw9solns.pdf|}} | Laplace transforms, s & t translation | | | -- | Tue 04/14 | | | canceling this HW, instead here are some {{:gibson:teaching:spring-2015:math527:exam3practice.pdf| practice problems}} for exam #3 from last year's HW. You can find solutions {{:gibson:teaching:spring-2014:math527:hw6solns.pdf| here}} and {{:gibson:teaching:spring-2014:math527:hw7solns.pdf|here}}| | {{:gibson:teaching:spring-2015:math527:hw10.pdf|HW10}} | Thu 04/23 |{{:gibson:teaching:spring-2015:math527:hw10solns.pdf|}}{{:gibson:teaching:spring-2015:math527:hw10addendum.pdf|}} | linear algebra | **don't turn in problems 7-11** -- most of these will be incorporated into HW11| | {{:gibson:teaching:spring-2015:math527:hw11.pdf|HW11}} | Thu 04/30 |{{:gibson:teaching:spring-2015:math527:hw11solns.pdf|}} | systems of ODEs | fixed typo in problem 1; for complex eigenvalues, express answer in both complex and real-valued forms | ---- ===== Exams ===== [[:gibson:teaching:spring-2014:math527:policies#exams|Exam policies.]] The final exam is Tuesday, May 12 10:30-12:30pm. The exam will be split into three rooms: * last name A-Ri: Spaulding 120 * last name Ro-Z: Spaulding G70 * DSS accommodations: Kingsbury N133 In Spaulding 120, please sit in alternating seats **inwards starting from the middle aisle**. In Spaulding G70, please follow the teaching assistant's instructions for double-spaced seating. ^ exam ^ date ^ topic ^ sample exam ^ results ^ notes ^ | #1 | Wed 2/11 | 1st order eqns | {{:gibson:teaching:spring-2014:math527:exam1sample.pdf| sample exam}} and {{:gibson:teaching:spring-2014:math527:exam1samplesolns.pdf| solutions}} | [[:gibson:teaching:spring-2015:math527:examresults#exam_1|results]] | There is a typo in Problem 3. Here is the correct solution. {{:gibson:teaching:spring-2015:math527:exam1samplesolnsprob3.pdf|prob3soln}}. Further practice problems {{:gibson:teaching:spring-2015:math527:exam1practice.pdf|}} | | #2 | Wed 3/11 | 2nd & higher order eqns | {{:gibson:teaching:spring-2014:math527:exam2sample.pdf| sample exam}} and {{:gibson:teaching:spring-2013:math527:exam2soln.pdf|solutions}} | [[:gibson:teaching:spring-2015:math527:examresults#exam_2|results]] | Here are more practice problems, not sure if they are too hard or too easy compared to exam. {{:gibson:teaching:spring-2015:math527:exam2_moreprobs.pdf|}}| | #3 | Wed 4/15 | Laplace transforms, power series | {{:gibson:teaching:spring-2014:math527:exam3sample.pdf| sample exam }} and {{:gibson:teaching:spring-2014:math527:exam3samplesolns.pdf| solutions}}. | [[:gibson:teaching:spring-2015:math527:examresults#exam_3|results]]| More {{:gibson:teaching:spring-2015:math527:exam3practice.pdf| practice problems.}} These problems are from last year's HWs; you can find solutions {{:gibson:teaching:spring-2014:math527:hw6solns.pdf| here}} and {{:gibson:teaching:spring-2014:math527:hw7solns.pdf|here}}. | | final | Tue 5/12 10:30-12:30pm | [[:gibson:teaching:spring-2015:math527:finaloutline|outline of topics]] | {{:gibson:teaching:spring-2014:math527:finalexamsample.pdf| sample exam}} and {{:gibson:teaching:spring-2014:math527:finalsample-solns.pdf| solutions}} | | More {{:gibson:teaching:spring-2015:math527:finalexamprep_extraproblems.pdf| review problems with solutions}} |
