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MTH 303-02 — Differential Equations
Spring 2012
Course description:
Linear differential operators and equations. Existence and uniqueness of solutions: initial-value problems. The Wronskian, homogeneous equations and non homogeneous equations: variation of parameters, the method of undetermined coefficients. The Euler equation, the Laplace transform, normal systems, eigen values and eigenvectors. Series Solutions.
Prerequisites:
MTH 245 (Calculus III)
External Websites:
Blackboard – view grades, email classmates, post questions References:
Course Syllabus (corrected Exam 2 date typo) Unit Circle, Trig Formula List, Basic Derivative List, Basic Integral List, Symbol Cheat Sheet, Laplace Transform List New: Power Series Review Solution keys: Schedule:
January 23, Monday — First day of class!
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January 30, Monday
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February 1, WednesdayHomework: Downloads:
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February 6, Monday — Last day to drop
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February 8, WednesdayHomework: Downloads:
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February 13, Monday
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February 15, WednesdayHomework: Downloads:
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February 20, Monday
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Section 2.3-2.4
February 22, Wednesday p. 47 — A1, A2, A3, B1 Project 1 (read p.46-50, on p.51 do #1,3,6,8,11; read p.52-53, on p.56 do #4,5,10,18) Projects will be graded on clarity, correctness, completeness, and effective presentation. Downloads:
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February 27, Monday
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February 29, Wednesday — Exam 1Homework: Downloads:
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March 5–7, Monday–Wednesday — No class
March 19, Monday
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Section 4.3
March 21, Wednesday(4.1) p. 189 — A1, A2 (Note: D = d/dx, D^2 = d^2/dx^2, and so on), B1, B5 (4.3) p. 175 — A1, A2, B1, C1 (4.3) p. 177 — A1, A2 (4.3) p. 180 (not the review problems) — A1, A2, B1 Project 2 — B3 on p. 98, B1 on p. 115, B1 on p. 164, and B4 on p.130 (due on 3/30) Downloads:
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Section 4.4
Correction 1: the first problem on the project should have been B3 on p.98. If you've already done B2, then you may turn that in instead of B3.
March 26, Monday
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Section 4.4 Addendum
March 28, WednesdayCorrection 2: I'm removing the final problem from the project; I think it's probably a bit too challenging. That leaves just three to deal with. Downloads:
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April 2, Monday
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Section 6.3, you may also want to look over this Partial Fractions Handout
April 4, Wednesday(6.1) p. 265 — A1, A3 (use the transform list inside the back cover of the book) (6.3) p. 282 — A1, A3, A5 Downloads:
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April 9, Monday — No class
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April 16, Monday
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April 23, Monday
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April 30, Monday
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May 9, Wednesday — Final Exam (12:00-2:30)
Additional Resources:
Video lectures
Khan Academy
Algebra, Trig, Calculus I/II/III, DE, Linear Algebra, Probability and Statistics, etc.
MIT OpenCourseWare
Calculus I/II/III, DE, Linear Algebra
OpenCourseWare Directory
just about everything can be found
Patrick Just Math Tutorials
Algebra, Trig, Calculus I/II/III, DE, Linear Algebra, Probability and Statistics, etc.
Math TV
Algebra, Trig, Calculus I/II
HippoCampus
Algebra, Calculus I/II, Statistics
Notes/examples
Paul's Online Math Notes
Algebra, Calculus I/II/III, DE, Linear Algebra
MIT OpenCourseWare
Calculus I/II/III, DE/PDE, Linear Algebra, Probability and Statistics, Numerical Analysis, Complex Analysis, etc.
ExampleProblems.com
Algebra, Trig, Calculus I/II/III, DE/PDE, Linear Algebra, Probability and Statistics, etc.
Other resources
Wolfram Alpha
not your grandmother's calculator
Study Hacks
solving hard problem sets without staying up all night
How to Study Math
and succeed in class
Common Math Errors
and their remedies
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