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Differential equations and linear algebra
MA 262
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Introduction
Differential equations are both challenging objects at a mathematical level and crucial in many ways for engineers. In addition, linear algebra methods are an essential part of the methodology commonly used in order to solve systems of differential equations. This course proposes to combine a basic introduction to both linear algebra and differential equations. This should be enough to cover most of the cases of interest for engineers and other practitioners. Specifically, the main chapters covered in this course will be:
  1. First order equations.
  2. Matrices and systems of linear equations.
  3. Determinants
  4. Vector spaces.
  5. Linear transformations.
  6. Linear differential equations of order $n$.
  7. Systems of differential equations.
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Bibliography
  1. S. Goode, S. Annin: Differential equations and linear algebra. Special Purdue edition. Pearson, 2013.
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Important links
Please consult the course webpage.
Here is a link to the course calendar.
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Homework
We will follow an assignment sheet, and the homework will be assigned through WebAssign.
About WebAssign: here are some introductory slides. You can access the system by clicking here.
Note: WebAssign does not allow late homework.
Don't forget the hand-graded problems.
WebAssign problems usually due on Friday at 11pm.
Hand-graded problems usually due on Friday at 1:30pm.
Late HW = 50% of the grade (only for hand-graded).
I cannot accept late homeworks after the graded HW are returned to students.
Mailbox in Math 419, underneath my name.
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Midterms
There are two Midterms, both multiple choice:
  1. Date: February 22nd, 6:30pm, room EE 129.
    Program: Sections 1.1 to 1.9, 1.11, 1.12, 2.1 to 2.6, 3.1 to 3.3.
  2. Date: April 5th, 6:30pm, room EE 129.
    Program: Sections 4.2, 4.3, 4.5, 4.6, 4.8, 5.1, 5.3, 5.6, 5.7, 6.1, 6.2, 6.3.

Here is a link to a previous midterm 1 exam together with the answer key and a correction.
Here is a link to a previous midterm 2 exam together with the answer key.
These are some review problems for midterm 2 together with the solutions.
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Final exam
Date: May 2nd, 1pm. Type: multiple choice. Program: comprehensive. Room: EE129.
Past exams are available on this webpage.
In order to prepare the final, here is a link to some review problems, together with their solutions.
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Office hours
Tuesday 4:30-5:30pm & Wednesday 4-5pm, in Math 434.
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Slides (thanks for your feedback on possible typos)
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