PD155 - Physics and Mathematics for Product Design

Autumn of 2018   [semester 1 of 2018-19]

Lecturer:   Masud Haque   (haque@thphys.nuim.ie)


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.

The module has existed only for a couple of years; you might find the exams from the previous two years helpful for practice. The exams are available from the library webpage. The material covered was slightly different.

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:

A Sample/Practice exam,

Another Sample/Practice exam,


Problem sets (Assignments)

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.



Material to be covered (potentially)

  1. SEQUENCES AND SERIES
    (Arithmetic and geometric series; Finite and infinite sums; Convergence)

  2. LIMITS & CONTINUITY, DIFFERENTIAL CALCULUS
    (Sum, product, chain rules for derivatives; Critical points, maxima and minima; Taylor Series)

  3. INTEGRAL CALCULUS
    (Integrals as areas; Definite and indefinite integrals; integration techniques)

  4. MATRICES AND LINEAR ALGEBRA
    (Basic Matrix arithmetic; Determinant and inverse of a matrix; Solving simple linear systems of equations)

  5. PROBABILITY AND STATISTICS

  6. MECHANICS

  7. 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.


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

Mathematics Support Centre

located in the Library.