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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 differential equations.
2. Linear equations, matrix algebra, determinants.
3. Vector spaces, eigenvalues and eigenvectors.
4. Linear second order equations.
5. Theory of higher-order linear differential equations.
6. Matrix methods for linear systems.
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Bibliography
1. Differential equations and linear algebra. Special Purdue edition. Pearson, 2018.
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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 MyMathLab.
About MyMathLab: . You can access the system through your Blackboard account.
Note: MyMathLab does not allow late homework.
WebAssign problems usually due on Friday at 11pm.
I cannot accept late homeworks after the graded HW are returned to students.
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Midterms
There are two Midterms, both multiple choice:
1. Date: February 18, 6:30pm, room CL50 224.
Program: Sections 1.1, 1.2, 1.3, 2.1 to 2.6, 3.4, 7.1 to 7.5, 7.7, 7.8, 7.9, 8.1, 8.2.
2. Date: April 8, 6:30pm, room CL50 224 or LILY 1105.
Program: Sections 9.1, 9.2, 9.3, 10.1, 10.2, 10.3, 11.1, 11.2, 11.5, 4.1 to 4.7, 4.9.

Here is a link to a previous midterm 1 exam together with the answer key and a correction.
You will find here some review problems for midterm 1 and some solutions.
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: During the Finals week. Type: multiple choice. Program: comprehensive. Room: Tba.
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 4-5pm & Wednesday 4-5pm, in Math 434.
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Slides (thanks for your feedback on possible typos)
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