Lecturer: Masud Haque

This is an old page from a previous year. It is kept visible in case useful for current PD155 students, but the current module might be different from the previous version.

Material to be covered (potentially)

- SEQUENCES AND SERIES

(Arithmetic and geometric series; Finite and infinite sums; Convergence) - LIMITS & CONTINUITY, DIFFERENTIAL CALCULUS

(Sum, product, chain rules for derivatives; Critical points, maxima and minima; Taylor Series) - INTEGRAL CALCULUS

(Integrals as areas; Definite and indefinite integrals; integration techniques) - MATRICES AND LINEAR ALGEBRA

(Basic Matrix arithmetic; Determinant and inverse of a matrix; Solving simple linear systems of equations) - PROBABILITY AND STATISTICS
- MECHANICS
- HEAT AND ENERGY

Textbooks and Sources

Unfortunately, I do not know a single textbook that covers all of the material we will be covering, at the level of this module.

However, all the material is standard, and can be found in various textbooks on introductory calculus, basic engineering mathematics, or introductory physics. You are responsible for finding relevant sources and reading/working through them, to supplement the lectures.

Some online material is linked below.

Links to reading/learning material

Please let me know with a brief email if any of the links don't work.

- SEQUENCES AND SERIES
An easy introduction to sequences and series.

- DIFFERENTIAL AND INTEGRAL CALCULUS
If you have not done differentiation (derivatives) in school, please go through the following or a similar introduction to the basic concepts:

a Refresher on basic Calculus.A 9-page description of limits and derivatives.

Here's a longer but relatively simple overview of differential Calculus.

Here's a more complete Calculus refresher, which contains more calculus than we will cover.

Also pretty complete Notes from a Calculus class.

- MATRICES AND LINEAR ALGEBRA
In these notes you can find a slow (but long) introduction to matrices with many examples:

7.1 Intro, 7.2 Matrix Multiplication, 7.3 Determinants, 7.4 Inverse of Matrix.An Introduction to Matrices and Linear Equations.

Another Introduction to Matrices and Linear Equations.

Brief Intro to Systems of Linear Equations.

Slightly more advanced Overviews of Matrices:

Overview 1, Overview 2, - MECHANICS
Maybe the first few chapters of these notes are helpful:

Worked problems in Mechanics.

Problem set 11. Due before tutorial on monday 17/12/2018.

Problem set 10. Due before tutorial on monday 10/12/2018.

Problem set 09. Due before tutorial on monday 03/12/2018.

Problem set 08. Due before tutorial on monday 26/11/2018.

Problem set 07. Due before tutorial on monday 19/11/2018.

Problem set 06. Due before tutorial on monday 12/11/2018.

Problem set 05. Due before tutorial on monday 05/11/2018.

Problem set 04. Due before tutorial on monday 22/10/2018.

Problem set 03. Due before tutorial on monday 15/10/2018.

Problem set 02. Due before the second tutorial, on monday 08/10/2018.

Problem set 01 . Due at the beginning of the first tutorial, on monday 01/10/2018.

Exam preparation

The best way to prepare for the exam might be to go through all the problem sets and learning the material necessary for solving problems of the types we covered in the problem sets.

I provide here

partial solutions to a previous exam,

in case you find this helpful.

Also, here are a couple of sample/practice exams, which roughly the structuring and style of the exam:

Lectures, Tutorials, Continuous Assessment

Lectures are on: Tuesdays 13:05 JHL6, Thursdays 09:05 JHL5, Thursdays 13:05 JHL5.

Tutorials are on Mondays 10:05, PH.
Tutor: Aonghus Hunter McCabe (aonghus@thphys.nuim.ie)

Office: Science Building, Theoretical Physics Department,
Room 1.1

Math Support Centre

If you think you could use some help with the math part of this module, maybe you could make use of the

located in the Library.