## 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

**Content:**

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:
- Introduction to Differential
Equations
- Laplace Transforms
- Scalars and Vectors
- Scalar and Vector Triple
Products
- 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.)

- Curves and Curvature

- Matrices and Matrix
Algebra

- Matrices and Basic
Operations
- The Inverse Matrix
- Solving Linear Systems of
Equations: The Inverse Matrix
Method and
The Gauss-Jordan
Elimination Method
- 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)

**Assessment:**

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.