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====== Math 527: Differential Equations with Linear Algebra ======

===== Basics =====
Lecture: Spaulding 120, MWF 1:10-2:00pm\\
Instructor: John F. Gibson. Office hours MW 3-4pm, N309E Kingsbury Hall\\
Teaching assistants: 
  * Tim Fill (sections 1-3). Office hours TTh 9:30-11am, Kingsbury N309D
  * Ian Maxwell (sections 4-6). Office hours TTh 2-3:30pm, Kingsbury N309D

[[gibson:teaching:spring-2013:math527:text | Suggested text]]: Zill, A First Course in Differential Equations with Modeling Applications, 10th edition. [[gibson:teaching:spring-2013:math445:text | Other options.]]

[[gibson:teaching:spring-2013:math527:syllabus | Syllabus:]] lecture topics by date, homework due dates, exam dates

[[gibson:teaching:spring-2013:math527:policies | Policies:]] on homework, exams, total grade calculations, etc.

===== Homework =====

[[:gibson:teaching:spring-2013:math527:policies#homework|Homework policies]]

^ homework ^ due ^ solutions ^ topic ^ notes ^
| {{:gibson:teaching:spring-2013:math527:hw0.pdf|HW0}} |   | {{:gibson:teaching:spring-2013:math527:hw_0_soln.pdf|HW0 sol'n}} | calculus review problems  | will not be graded |
| {{:gibson:teaching:spring-2013:math527:hw1.pdf|HW1}} | W 1/30 |{{:gibson:teaching:spring-2013:math527:hw1soln.pdf|HW1 sol'n}} | separable & 1st order linear eqns | |
| {{:gibson:teaching:spring-2013:math527:hw2.pdf|HW2}} | W 2/06 |{{:gibson:teaching:spring-2013:math527:hw_2_soln_corrected.pdf|HW2 sol'n}} | exact eqns & substitutions  |  |
| {{:gibson:teaching:spring-2013:math527:hw3.pdf|HW3}} | F 2/15 |{{:gibson:teaching:spring-2013:math527:hw3_soln.pdf|HW3 sol'n}} | applications of 1st order eqns | **REVISED** specified ambient temp and initial velocities  |
| {{:gibson:teaching:spring-2013:math527:hw4.pdf|HW4}} | F 2/22 |{{:gibson:teaching:spring-2013:math527:hw4soln.pdf|HW4 sol'n}} | 2nd order const coeff homogeneous | **NOTE** Skip problem 9. We'll cover that later. | 
| {{:gibson:teaching:spring-2013:math527:hw5.pdf|HW5}} | **M 3/04** |{{:gibson:teaching:spring-2013:math527:hw5soln-corrected.pdf|HW5 sol'n}} | Judicious guessing and variation of parameters | **NOTE** Revised due date. Prob 6 revised, new hints on 4 and 7. |
| {{:gibson:teaching:spring-2013:math527:hw6.pdf|HW6}} | **M 3/25** |{{:gibson:teaching:spring-2013:math527:hw6soln.pdf|HW6 sol'n}} | Laplace transforms |  |
| {{:gibson:teaching:spring-2013:math527:hw7.pdf|HW7}} | M 4/01 | {{:gibson:teaching:spring-2013:math527:hw7sol_n.pdf|HW7 sol'n}}| Laplace transforms: s & t translation |  |
| {{:gibson:teaching:spring-2013:math527:hw8.pdf|HW8}} | M 4/08| {{:gibson:teaching:spring-2013:math527:hw8soln.pdf|HW8 sol'n}} | Laplace transforms |  |
| {{:gibson:teaching:spring-2013:math527:hw9.pdf|HW9}}  | M 4/22 | {{:gibson:teaching:spring-2013:math527:hw9solncorrected.pdf|HW9 sol'n}} | series solutions |  |
| {{:gibson:teaching:spring-2013:math527:hw10.pdf|HW10}} | M 5/6 | {{:gibson:teaching:spring-2013:math527:hw10soln.pdf|HW10 sol'n}} | systems of differential eqns |  |
===== Exams =====

[[:gibson:teaching:spring-2013:math527:policies#exams|Exam policies]]


The final exam 8:00-10:00am Thursday May 16th. Room assignments by last name are  
  * A-Q Spaulding 120
  * Q-Sv Spaulding G16
  * Sw-Z Spaulding 230
 

Sample exams illustrate what an exam might be like, in terms of the number of problems and the level of difficulty. But the problems on the actual exam might be quite different in type.


^ exam ^ date ^ solutions ^ results ^ topic ^ sample exam ^
| exam 1 | 2/11 | {{:gibson:teaching:spring-2013:math527:exam1soln.pdf|Exam 1 sol'n}} | [[:gibson:teaching:spring-2013:math527:exam-results#exam1| exam1 results]] | first-order eqns | {{:gibson:teaching:spring-2013:math527:exam1-practice.pdf|Sample exam}}, {{:gibson:teaching:spring-2013:math527:practiceexam1soln.pdf|Sample exam sol'n}} |
| exam 2 | 3/06 | {{:gibson:teaching:spring-2013:math527:exam2soln.pdf|Exam 2 sol'n}} | [[:gibson:teaching:spring-2013:math527:exam-results#exam_2| exam2 results]] | second & higher-order eqns | {{:gibson:teaching:spring-2013:math527:exam2-practice.pdf|Sample exam}}, {{:gibson:teaching:spring-2013:math527:practiceexam2answers.pdf|Sample exam answers}}, {{:gibson:teaching:spring-2013:math527:practiceexam2soln.pdf|Sample exam sol'n}} |
| exam 3 | 4/10 | {{:gibson:teaching:spring-2013:math527:aexam3soln.pdf|Exam 3 sol'n}} | [[:gibson:teaching:spring-2013:math527:exam-results#exam_3| exam3 results]] | Laplace transforms | {{:gibson:teaching:spring-2013:math527:exam3-practice.pdf|Sample exam}}, {{:gibson:teaching:spring-2013:math527:exam3soln.pdf|Sample exam sol'n}} |
| final  | 5/16 8-10am|  | | everything |{{:gibson:teaching:spring-2013:math527:samplefinalexam.pdf|Sample final exam}} |
===== Supplemental material =====

  * [[http://www.wolframalpha.com|Wolfram Alpha]] and [[http://mathworld.wolfram.com | Wolfram Mathworld]]. Check your homework, deepen your knowledge.
  * [[http://www.wellesley.edu/socialcomputing/Netiquette/netiquetteprofessor.html | How to write a businesslike email. ]]
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