MA2607 COURSE CONTENT AND LECTURE NOTES

 

Applied Mathematics (MA2607)

 

 

The course will cover three areas

 

  1. Newtonian Mechanics and Applications
  2. Calculus of Variation
  3. Lagrangians and Noether’s theorem

 

The first part of the course is based on notes by Prof. P. Daniels.

 

Notes 1.pdf

 

Notes 2.pdf

 

Notes3.pdf

 

Notes4.pdf

 

The notes for the second and third parts of the course are

 

Calculus of Variation

 

Noether's Method

 

Below are some additional short notes on plane polar unit vectors and their derivatives, and on energy in the gravitational problem

 

Plane Polar unit vectors and their derivatives

 

Energy formula for Gravitational system

 

 

 

COURSE ASSESSMENT CRITERIA

 

The course runs over 11 weeks; week 6 is reading week and there are no lectures then. Your final grade for the course will come from a weighted average of your exam (80% weight) and course work (20% weight). You need to get at least 40% on the combined coursework and exam mark to pass the course.

 

COURSEWORK COMPONENT of ASSESSMENT

 

The coursework component of your mark will be based on four short class tests. These will take place between 1200 and 1210 on a Wednesday in the week indicated by T in the table below. Each test will be marked out of 5 marks, and will be based on material covered in the course up to that point.

 

 

Lecture Dates

28/9

5/10

12/10

19/10

26/10

2/11

9/11

16/11

23/11

30/11

7/12

Week

1

2

3

4

5

6

7

8

9

10

11

Assessment

 

 

T

 

T

 

 

T

T

 

 

 

EXAM COMPONENT of ASSESSMENT

 

The exam will be two hours long. It will have four questions, each 20 marks, of which you have to answer 3. The exam will constitute 80% of your mark.

 

 

 

PROBLEM SHEETS

 

Problem Sheet 2

 

Problem Sheet 3 page 1

 

Problem Sheet 3 page 2

 

The solutions to these problem sheets are here

 

Problem Solutions

 

 

PAST EXAM PAPERS AND SOLUTIONS

 

Two past exam papers are available on the Moodle page for this course.