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School of Mathematics

# 2M1 Course Materials

## Laplace Transforms

Materials on Laplace Transforms will be placed here

### Example Sheets

• Examples Sheet 1 and solutions
• Examples Sheet 2 and solutions
• Examples Sheet 3 and solutions
• ### Applets

• Applet on Laplace Transforms.
• Applet on the Heavyside Function.
• ### Coursework

Information on Coursework will be displayed here

Coursework 1 . The work will be tested on Monday 5th and Tuesday 6th November.

Statistics Lectures

Information on Statistics is on the MATH29661 Blackboard Area.

## Numerical Methods

Materials on Numerical Methods will be placed here.

Examples Sheets will be placed here.

• Examples Sheet 4 and solutions
• Examples Sheet 5 and solutions
• Examples Sheet 6 and solutions
• ### Other

.pdf and .xls files for Example 2.3.10.

## Multiple and Line Integrals

Materials on this topic will appear here

• 2 slides per page
• 4 slides per page
• Examples from lectures.
• ### Example Sheets

Example Sheets will be place here.

• Sheet 7 and solutions
• Sheet 8 and solutions
• ## HELM Modules

Basic Probability (context material)
Sets
Elementary probability
Addition and multiplication laws of probability (including permutations & combinations)
Total Probability and Bayes' Theorem
Statistics
Discrete Probability Distributions
The Binomial Distribution
The Poisson Distribution
The Hypergeometric Distribution
Continuous probability distributions
The uniform distribution
The Exponential Distribution
Functions of two variables
Functions of several variables
Partial derivatives
Stationary points
Errors and percentage change
Partial Differential Equations
Partial Differential Equations
Applications of PDEs
Separation of Variables
Solution by Fourier Series
Multiple integration
Introduction to Surface Integrals
Multiple Integration over Non-rectangular regions
Triple Integrals
Changing Coordinates
Laplace Transforms
Causal functions
The transform and its inverse
Further Laplace transforms
Solving differential equations
The convolution theorem
Transfer functions

### Formula Tables

Download, print and get used to looking up information in these Formula Tables. Your lecturer will be able to confirm if these tables will be provided in exams.

## Exam papers

Download and print exam papers from previous years. Be aware that the syllabus may have changed, making some questions no longer relevant to the course you are taking. The number of questions may also have changed.

Some materials from revision session, 17/01/2013

Unofficial Solutions to some questions from

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