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:
 First order differential equations.
 Linear equations, matrix algebra, determinants.
 Vector spaces, eigenvalues and eigenvectors.
 Linear second order equations.
 Theory of higherorder linear differential equations.
 Matrix methods for linear systems.
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Bibliography
 Differential equations and linear algebra. Special Purdue edition. Pearson, 2018.
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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 MyMathLab.
About MyMathLab: . You can access the system through your Blackboard account.
Note: MyMathLab does not allow late homework.
Don't forget the handgraded problems.
WebAssign problems usually due on Friday at 11pm.
Handgraded problems usually due on Friday during your Problem session.
Late HW = 50% of the grade (only for handgraded).
I cannot accept late homeworks after the graded HW are returned to students.
About MyMathLab: . You can access the system through your Blackboard account.
Note: MyMathLab does not allow late homework.
Don't forget the handgraded problems.
WebAssign problems usually due on Friday at 11pm.
Handgraded problems usually due on Friday during your Problem session.
Late HW = 50% of the grade (only for handgraded).
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:
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.

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. 
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.
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 45pm & Wednesday 45pm, in Math 434.
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Slides (thanks for your feedback on possible typos)
 Syllabus
 Introduction
 First order differential equations
 Mathematical models involving first order equations
 Linear equations in linear algebra
 Matrix algebra
 Determinants
 Vector spaces
 Eigenvalues and eigenvectors
 Linear second order equations
 Theory of higherorder linear differential equations
 Systems of differential equations
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