MTH 306 J and K with Prof. Ringland, Spring 2025

Ordinary Differential Equations

Second projects

Here are the options and instructions for the Second Projects. Study the options and determine your preferences. The sign-up form was posted at 5pm on Friday, April 11. Project reports and diaries are due May 2.

Office hours

Mine: Wednesdays 4:00-4:50pm in 206 Math Bldg

Yanzhan's for 306 J: Wednesdays 2:00-3:00pm in 137 Math Bldg

Tom's for 306 K: Wednesdays 11:00am-12:00pm in 137 Math Bldg

Score sheet

Here is the score sheet.

Picture of the day

All the pictures of the day

Chalkboard photos and illustrations

	Day 1, 1/22, Slope fields
Day 2, 1/28, Separable DEs	Day 3, 1/30, Linear DEs
Day 4, 2/4, E/U and Euler's method	Day 5, 2/6, Euler, Qualitative
Day 6, 2/11, 2nd order linear	Day 7, 2/13, 2nd order linear const coeffs
Day 8, 2/18, fishing, mechanical vibrations, illustrations	Day 9, 2/20, forced 2nd order linear
Day 10, 2/25, forced damped oscillator, Ch. 3 Systems, boards, notebook	Day 11, 2/27 matrix-vector product
Day 12, 3/4, Exam 1	Day 13, 3/6, Matrix determinants
Day 14, 3/11, eigenvectors and eigenvalues boards, house app, eigenvector app	Day 15, 3/13, more eigenvector solutions boards etc., code for 2x2 system portraits
Spring Recess	Spring Recess
Day 16, 3/25, Repeated eigenvalue, Ch 8 competing species	Day 17, 3/27, Linearization of nonlinear system
Day 18, 4/1, More linearization	Day 19, 4/3, Taylor series solution
Day 20, 4/8, Conserved quantities boards, code	Day 21, 4/10, Exam 2
Day 22, 4/15 Airy, singular points boards	Day 23, 4/17 Frobenius examples 2&3 boards
Day 24, 4/22 Laplace transform boards	Day 25, 4/24 Laplace rules 9 & 10, boards
Day 26, 4/29	Day 27, 5/1
Day 28, 5/6

Labs

Lab 7, Friday, Mar 28, Solution

Lab 8, Friday, Apr 4,, Solution

Lab 9, Friday, Apr 11,, template for Second Project

Lab 10, Friday, Apr 18, power series, Solution

Lab 11, Friday, April 25, building with the Heaviside function

Exams

Miterterm Exam 1, Tuesday, March 4

Coverage: Chapter 0, Chapter 1 except 1.5 Substitution and 1.8 Exact Equations, Chapter 2 through section 2.2. This corresponds to Homeworks 1 through 5.

No calculators.

One 1-sided sheet of handwritten notes - on provided template only.

Labs on Friday Feb 28 will be devoted to answering questions you may have in preparation for Exam 1.

Midterm Exam 2, Thursday, April 10

Coverage: 2.3-2.6, 3.1-3.5, 8.1

No calculators.

One 1-sided sheet of handwritten notes - on provided template only.

First projects

Here are the options and instructions for the First Projects. Study the options and determine your preferences. The sign-up form will be posted at 5pm on Tuesday, March 4.

Policies and logistics

Course policies and logistics

Timetable (provisional timetable subject to adjustment)

Homework

Please enroll yourself immediately in the UBx online homework system by following the instructions here. Homeworks are due at 11:59pm Wednesdays, the first on Jan 29.

Software and hardware

You will need to have a computer with a Python programming environment. The (free) Anaconda distribution (note you can "skip registration"), which comes with all standard packages included, is strongly recommended. You'll need a computer running Linux, MacOS, or Windows.

Download and install Anaconda before the first lab on Friday, Jan 24.

You should always bring your laptop to the labs.

Textbook

PDF. Physical copy available from Amazon for $8: see Logistics and Policies.

Piazza forum

A place to ask and answer questions about the course. I will enroll everyone on Jan 23.