EE112 - Engineering Mathematics II

Lecturer: Paul Watts
Address: Room 1.2, Department of Theoretical Physics, Science Building, North Campus
Phone: 708 3339
E-Mail: watts AT thphys DOT nuim DOT ie

Danny Heffernan and Sepanda Pouryahya taught this course very successfully for many years, so I took an if-it-ain't-broke attitude and followed their notes quite closely. Here they are:
  1. Introduction to Differential Equations
  2. Laplace Transforms
  3. Scalars and Vectors
  4. Scalar and Vector Triple Products
  5. Lines and Planes (I presented a slightly different method to find the line of intersection between two planes, but the technique in these notes is equally useful.)
  6. Curves and Curvature
  7. Matrices and Matrix Algebra
  8. Matrices and Basic Operations
  9. The Inverse Matrix
  10. Solving Linear Systems of Equations: The Inverse Matrix Method and The Gauss-Jordan Elimination Method
  11. Eigenvectors and Eigenvalues
(However, there were examples and explanations presented in the lectures which weren't in the notes, so please don't use them as a replacement for the lectures, merely as a supplement.)

If you'd like a text or two to supplement the course, here are a couple of suggestions:

Croft and Davison, Mathematics for Engineers (Chapters 11, 12, 13 and 22)
Kreyszig, Advanced Engineering Mathematics (an excellent book full of material you'll be seeing in the next few years, with Chapters 6, 7 and 8 particularly relevant to this module)

The continuous assessment -- in the form of weekly problem sets -- counts toward 20% of your overall mark. Here are all the problem sets that were assigned:

Problem Set 1
Problem Set 2
Problem Set 3
Problem Set 4
Problem Set 5
Problem Set 6
Problem Set 7
Problem Set 8
Problem Set 9
Problem Set 10
Problem Set 11 and its solutions
Problem Set 12 (not to be turned in) and its solutions

The other 80% of your overall mark comes from the two-hour exam, which took place on 12 May 2018; here it is, and here are its solutions.

For those of you who might be repeating the exam in the Autumn, below are the exam and the repeat from last year, together with their solutions:

2016-17 exam and its solutions
2016-17 repeat and its solutions

The repeat exam will take place on Saturday 18 August from 12:30pm to 2:30pm in Lower Loftus.