About MTH647 Assignment 1
MTH647 Assignment No 1 for Fall 2026 is from Methods in Mathematical Physics. It covers lesson 1: Mathematical Modeling and Formulation, carries 20 marks and is due on VULMS by 11:59 pm on Wednesday 11 November 2026. You can request the solution from this page.
- Course
- MTH647 Methods in Mathematical Physics
- Assignment
- Assignment No 1
- Semester
- Fall 2026
- Lesson
- 1: Mathematical Modeling and Formulation
- Total marks
- 20
- End date
- Wed 11 Nov, 11:59 pm
What MTH647 Assignment 1 asks
This assignment focuses on applying mathematical modeling techniques and solving partial differential equations. Students will analyze the physical motion of a satellite orbiting the Earth by following a structured five-step modeling process. Additionally, the assignment requires solving a specific partial differential equation using the method of separation of variables. The work involves deriving physical expressions and applying boundary conditions to reach mathematical solutions.
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1
Question 1
10 marksDevelop a mathematical model for a satellite of mass m orbiting the Earth of mass M in a circular orbit of radius r. You must complete five specific steps: identifying the physical problem, stating simplifying assumptions, selecting appropriate physical laws, deriving the differential equation of motion, and determining the orbital velocity and orbital period. All steps must be clearly documented.
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2
Question 2
10 marksSolve the partial differential equation ux = 3uy using the method of separation of variables. The solution must satisfy the provided boundary condition u(0, y) = 5e^-2y.
- What to submit
- One Word file containing the typed solutions.
- Topics covered
- Mathematical modeling Newton's law of universal gravitation Newton's second law of motion Orbital mechanics Partial differential equations Method of separation of variables
A summary of the assignment file, Fall 2026_MTH647_1.pdf. Download the file for the full wording before you start.
Lesson covered
The questions in this assignment come from this lesson. Read it in the MTH647 handout before you open the assignment file, then practise it with the MCQs and past papers.
Solution
The solution has not been added yet. Request it from the download box and it will be added to this page, usually within a day.
Before you submit on VULMS
- 1 Start on the questions in the assignment file now. The solution will be added to this page once it is written.
- 2 Write the final answer in your own words. VU checks assignments for copying, and copied work gets zero marks.
- 3 Save your answer in the file type the assignment file asks for, and name it with your student ID, for example BC260012345.
- 4 Open the file once more to check it is not empty or corrupted, then upload it on VULMS before 11:59 pm on Wed 11 Nov.
Questions about this assignment
When is MTH647 Assignment 1 due?
Wednesday 11 November 2026 at 11:59 pm. VULMS does not accept files after the deadline.
When will the solution be added?
Most solutions are up within a day of a request. Requests tell us which ones to write first, and 0 students have asked for this one so far.
Can I submit the solution as it is?
No. VU checks assignments for copying, and copied work gets zero marks. Use the solution to check your method, then write your own answer.
What file do I submit?
The assignment file says which file type to upload and lists any extra instructions from your instructor. Name the file with your student ID before you upload it on VULMS.