MATH 301 (2024) - Home Page

Partial Differential Equations

Announcments

In-term text Tuesday 26 March at 12:00 noon

Lectures:

• Monday 12:00 --- 12:50, Murphy LT 102,
• Tuesday 12:00 --- 12:50, Murphy LT 220,
• Friday 12:00 --- 12:50, Murphy LT 220.

Tutorial:

• Thursday 12:00 --- 12:50, Murphy LT 220, tutorials start in Week 2.

Course Coordinator:

• Professor Matt Visser, matt.visser@sms.vuw.ac.nz,

Lecturers:

• Professor Matt Visser, matt.visser@sms.vuw.ac.nz, Week 1 to Week 6..
• Associate Professor Dimitrios Mitsoakis, dimitios.mitsotakis@sms.vuw.ac.nz, Week 7 to Week 12.

Assessment:

• 4 assignments, we will count the best 3 out of 4 --- 30% total.
• 2 midterms, 40% total.
• 1 final exam, 30% total.

• Assignments are tentatively scheduled for weeks 3,6,9,12.
• Mid-terms are tentatively scheduled for weeks 5,10.
• Final will be held during the study/assessment period.

---

Material for Part 1 (Matt):

Notes:

• pdes-2024.pdf: Notes for Part 1 of 2024 (Draft)

Lecture slides:

• slides-301-2024-01-introduction.pdf: Slides 1 of 14: Introduction
• slides-301-2024-02-general-solution.pdf: Slides 2 of 14: General solutions
• slides-301-2024-03-existence-and-uniqueness.pdf: Slides 3 of 14: Existence and uniqueness of solutions
• slides-301-2024-04-frobenius-mayer.pdf: Slides 4 of 14: Frobenius-Mayer systems
• slides-301-2024-05-two-other-1st-order-PDEs.pdf: Slides 5 of 14: Two other 1st order PFEs
• slides-301-2024-06-euler-PDEs.pdf: Slides 6 of 14: Euler PDEs
• slides-301-2024-07-euler-PDE-standard-examples.pdf: Slides 7 of 14: Euler PDE standard examples
• slides-301-2024-08-dalambert-solution.pdf: Slides 8 of 14: D'Alembert's solution
• slides-301-2024-09-euler-variable-coefficients.pdf: Slides 9 of 14: Euler PDE with variable coefficients
• slides-301-2024-10-separation-of-variables.pdf: Slides 10 of 14: Separation of variables
• slides-301-2024-11-fourier-series.pdf: Slides 11 of 14: Fourier series
• slides-301-2024-12-Gibbs-phenomenon.pdf: Slides 12 of 14: Gibbs phenomena
• slides-301-2024-13-eigenfunction-expansions.pdf: Slides 13 of 14: Eigenfunction expansions
• slides-301-2024-14-summary-of-part-1.pdf: Slides 14 of 14: Summary of Part 1

Assignments:

• 301-assmt-1-2024.pdf: Assignment 1 (due Fri 15 March 2024 at 23:59)

• 301-assmt-2-2024.pdf: Assignment 2 (due end of week 6); week 6 tutorial questions
• Assignment 2 now due 23:59 on Sunday 21 April!

Assignment solutions:

• 301-assmt-1-with-solutions-2024.pdf: Assignment 1 SOLUTIONS

To be developed

Tutorial solutions:

• 301-tutorial-week-2-of-2024.pdf: Tutorial: Week 2
• 301-tutorial-solutions-week-3-of-2024.pdf: Tutorial solutions Week 3
• 301-tutorial-week-4-of-2024-Frobenious-Mayer.pdf: Tutorial week 4 (Frobenius-Mayer)
• 301-tutorial-week-4-of-2024-separation-of-variables.pdf: Tutorial week 4 (Separation of Variables)
• 301-2024-week-6-tutorial-solutions.pdf: Tutorial week 6: Solutions

To be developed

Term test 1 with solutions:

• 301-term-test-1-2024-with-solutions.pdf: Term test 1 with solutions

---

Material for Part 2 (Dimitrios)

Join with Zoom:

https://vuw.zoom.us/j/95862529437

Lecture slides:

• Lesson1.pdf: Lesson 1: Introduction to the method of characteristics: The transport equation
• Lesson2.pdf: Lesson 2: The Burgers equation and shock waves
• Lesson3.pdf: Lesson 3: Traveling waves

---

Assignments:

• assignment3.pdf: Assignment 3 (due Fri 10 May 2024 at 23:59)
• tutorial1.pdf: Tutorial 1

---