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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.
  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, by Edwards, Penney and Calvis. Edited by Pearson.
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Important links
Please consult the course webpage.
Here is a link to the course calendar.
This is the official course syllabus.
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Homework
MyMathLab is required for the homework.
About MyMathLab: You can access the system through your Brightspace recitation page.
Note: MyMathLab does not allow late homework.
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Midterms
There are two Midterms:
  1. Date: Feb 21, Room: CL50 224.
    Program: Lessons 1-14 in the calendar.
  2. Date: April 4.
    Program: Lessons 15-27 in the calendar.

This sends you to the Fall 21 Midterm 1 with some solutions
This sends you to the Fall 20 Midterm 1 with solutions
Here is a link to a previous midterm 1 exam together with the answer key and some solutions.
You will find here some review problems for midterm 1 and some solutions.
These are some review problems for midterm 1, compiled and cured by our Boss Antonio Sa Barreto.
For the second midterm review, I will use the Fall 19 Midterm 2 and some solutions.
Here is a link to a Fall 17 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 4 at 7pm, Room: WALC 1055. Type: multiple choice. Program: Lessons 1-36.
Past exams are available on this webpage.
Our Spring 22 review session is based on Chief Sa Barreto's review problems list,
here is a version with solutions part 1 and solutions part 2
This is a review session, focusing on the Fall 20 Final, here is an attempt to give solutions
In order to prepare the final, here is a link to some review problems, together with their solutions.
Here is also a link to the Fall 18 Final, together with a few solutions.
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Office hours
Tuesday 2:00-3:30pm, on Zoom.
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Slides (thanks for your feedback on possible typos)
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Notes from lectures
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