Practice from Lecture 11 July 26th 2018

Textbook: Section 8.4 Questions 1-14, 19-28
Textbook: Section 8.5 Questions 1-20
Textbook: Section 10.4 Questions 1-7, 16-19
Course Package: Assignment 23 Questions 1-5 (Solutions)

Course Evaluations

Course Evaluations are now available. Please take a few minutes to fill out the anonymous course evaluations at https://evals.mcmaster.ca. Evaluations close Friday July 27th, so make sure to fill in the evaluations before then!

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Assignment 4 is online! July 25th 2018

Assignment 4 is available from the sidebar, and is due Wednesday August 1st.

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Practice from Lecture 10 July 24th 2018

Frobenius Method

Textbook: Section 7.5 Questions 14-25, 33-46
Textbook: Section 7.6 Questions 12-22, 28-38
Textbook: Section 7.7 Questions 1-40
Course Package: Assignment 29 Questions 1-5 (Solutions)

Laplace Transforms

Textbook: Section 8.1 Questions 1,2,7,8,12
Textbook: Section 8.2 Questions 1-8
Textbook: Section 8.3 Questions 1-37

Midterm 2 Marks are online July 19th 2018

I decided to make question 5 from the midterm a bonus question, so the total midterm marks are now 26 instead of 32. For most of the class your marks are available on the sidebar. If you wrote with SAS, then I haven't marked your exam yet, but it will be done by the end of the day.

Assignment 3 is Online July 18th 2018

Assignment 3 is available on the sidebar. It is relatively short (only 4 questions) and will be due Wednesday July 25th at the beginning of class. We will have covered all the material for required for the assignment by the end of Lecture on Wednesday July 18th.

Midterm 2 is tonight!

The midterm will cover everything up to and including material covered on Monday, although will focus more heavily on things we did before Monday. Please write your midterm in the same room you wrote it in last time.

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Practice from Lecture 8 July 16th 2018

Textbook: Section 7.1 Questions 1-5,11-15
Textbook: Section 7.2 Questions 1-8
Course Package: Assignment 26 Questions 1-10 (Solutions)
Course Package: Assignment 27 Questions 1 and 4 (Solutions)
Course Package: Assignment 28 Questions 1-7 (Solutions)

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Extra Office Hours Friday July 12th 2018

Since assignment 2 is due Monday, I'll be having office hours friday afternoon from 1500h-1700h in HH403

Practice from Lecture 7

Textbook: Section 5.4 Questions 1-19
Textbook: Section 5.5 Questions 1-17, 22-26
Textbook: Section 5.7 Questions 1-32
Course Package: Assignment 16 Questions 1-3 (Solutions)
Course Package: Assignment 17 Questions 1-8 (Solutions)
Course Package: Assignment 18 Questions 1-4 (Solutions)

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Problems for Lecture 6 July 10th 2018

Textbook: Section 5.1 Questions 5-23
Textbook: Section 5.2 Questions 1-17
Course Package: Assignment 14 2-4,5a-5c, 6-8 (Solutions)
Course Package: Assignment 15 1,2,4-9 (Solutions)

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Assignment 1 Marks July 9th 2018

The marks for assignment 1 are up! You can find how you did by searching using the last 5 digits of your student at the bottom of the column on the left.

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Assignment 2 July 5th 2018

Assignment 2 is available from the side bar. It is due Monday, July 16th. Please make sure that you have your name and student number on the front page of the assignment and all pages are stapled together.

Practice Problems from Lecture 5

Textbook: Section 5.6 Questions 1-33
Course Package: Assignment 13 Questions 1-6 (Solutions)
Course Package: Assignment 16 Questions 4-6 (Solutions)
Note from the textbook: fundamental set of solutions means find y₁ and y₂ where y = C₁y₁ +C₂y₂ is the general solution.
For the course package: Assignment 13, don't do 4a or 5a, we haven't talked about the existence and uniqueness theorem.

Practice Problem Solutions July 3rd 2018

I have uploaded my solutions to Assignment 5, Assignment 6, and Assignment 11 using the Euler method to the website. You can follow the links in the previous sentence, or you can find the solutions in older announcements. I have also uploaded the solutions to the first assignment, you can find them in the left column.

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Some Updates: July 2nd 2018

My website updates were a little off last week. I should have fixed all issues that people have been having accessing files by now. I'm sorry if I was a little slow to respond, I was away this weekend without internet access.
One of your classmates has been typing up their notes, and has offered to share them with the class. Typed notes for lectures 1-3 are available in the older notes section. Just click on the black PDF icon next to each date.

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No class on Monday / Extra Office Hours June 28th 2018

Since there is no class on Monday July 2nd because of Canada Day, I'll be having extra office hours Tuesday July 3rd from 1700h-1900h, and before the midterm on Wednesday from 1700h-1900h

Practice Problems from Lecture 4

Textbook: Section 3.3 Questions 1-5
Textbook: Section 2.4 Questions 1-13
Textbook: Section 2.5 Questions 1-22
Textbook: Section 2.6 Questions 3-16
Course Package: Assignment 10 Questions 1-4 (Solutions)
Course Package: Assignment 11 Questions 1-5
For Assignment 11, repeat each question using the 4th order Runge-Kutta Method (RK4).

Solutions to other practice problems

Look in the Old announcements for solutions to earlier practice problems. I am working on solutions to Assignments 5,6,10,11, and 11 using RK4. I will have them posted before the midterm.

Midterm July 4th

The midterm will be 90 minutes long, and consist of 5 long answer questions. The material will include everything covered up to and including the lecture on Wednesday June 28th.
We will be split into 2 classrooms, HH104 and HH107 (across the hall from our classroom). If your surname begins with A-M you are in HH104, and if your surname begins with N-Z you are in HH107.

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Practice problems from Lecture 3 June 26th 2018

Textbook: Section 1.3 Questions 1-11
Textbook: Section 3.1 Questions 1-5
Course Package Assignment 5 (solutions)
Assignment 6 (solutions)
Assignment 11(solutions)
For the questions from Section 3.1, do at most 3 steps. If you are familiar with matlab, python, or some other programming language, try getting your computer to do the computations for you.

Assignment 1 Due Tomorrow!

Assignment 1 is due tomorrow at the beginning of class. If you want to hand your assignment in earlier, you can drop it in the dropbox located outside of our classroom in Hamilton Hall.

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Assignment 1 Update: June 25th 2018

I made a mistake when typing out question 5, and got the k and m mixed up. I have updated Assignment 1 with this correction. Sorry about that!

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Practice from Lecture 2: June 21st 2018

Lecture 2 covered first order linear ODEs and first order seperable ODEs. If you want to practice solving these try:

Textbook, Section 2.1: Problems 1-11, 16-24, 30-37
Textbook, Section 2.2: Problems 1-6,11,12,24,25,27
Course Package, Assignment 9: Problems 1-5 (solutions)
Course Package, Assignment 7: Problems 1-8 (solutions)
Remember to try to classify each new ODE. It'll be important once we start encountering more types and we have less hints on what types we have.

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Assignment 1 June 20th 2018

Assignment 1 is available for download under course materials in the left column. Your solutions are due at the beginning of class on Wednesday June 28th. Please include your name and student number on all pages of your solutions.

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Review of Integration: June 19th 2018

Some students asked for some review material. These youtube videos cover some important techniques we will need through the rest of the course:
Integration by substitution
Integration by parts
Partial fraction decomposition
Trigonometric substitutions

Practice problems

Textbook: Section 1.2 Problems 1-6
Course Package: Assignment 1 (Solutions)
Assignment 3 (Solutions)
Assignment 4 (Solutions)

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We're Online! June 4th 2018

The website is now up and running: Please check back periodically for updates.

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Wednesday July 25

Part #1: Harder Laplace Transforms
Sections 8.4 and 8.5 in the textbook
Part #2: Linear Systems of Equations
Sections 10.4 in the textbook

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Monday July 23

Part #1: The Frobenius Method
Sections 7.5, 7.6, and 7.7 in the textbook
Part #2: Introduction to Laplace Transforms
Sections 8.1, 8.2 and 8.3 in the textbook

Wednesday July 18th

Part #1: Regular Singular Points
Section 7.4 in the textbook

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Monday July 16th

Part #1: Review of Series and Power Series
Sections 7.1 in the textbook
Part #2: Series solutions around a regular point
Section 7.2 in the textbook

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Wednesday July 11th

Part #1: Undetermined Coefficients
Sections 5.4 and 5.5 in the textbook
Part #2: Variation of Parameters and Cauchy Euler Equations
Sections 5.7 and in the textbook

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Monday July 9th

Part #1: Linearly independent functions and the Wronskian
Section 5.1 in the textbook
Part #2: Constant coefficient equations
Section 5.2 in the textbook

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Wednesday July 4th

Part #1: Linear differential operators and reduction of order
Sections 5.6 in the textbook

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Wednesday June 27th

Part #1: Numerical Methods Continued
Sections 3.1 and 3.3 in the textbook

Part #2: Some First order non-linear ODEs
Sections 2.4, 2.5, and 2.6 in the textbook

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Monday June 25th

Part #1: First order autonomous ODEs, Direction fields
Section 1.3 in the textbook for Direction Fields, Section 2.2 (sort of) for autonomous ODEs

Part #2: Numerical Methods
Sections 3.1 in the textbook

Wednesday June 20th

Part #1: First order linear differential equations
Section 2.1 in the textbook for variation of parameters, Section 2.5 for Integrating factors

Part #2: First order seperable differential equations
Section 2.2 in the textbook

Monday June 18th

Part #1: What are differential equations?
Section 1.1 in the textbook

Part #2: Definitions and basic classification
Section 1.2 in the textbook

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