MT1652: Mathematics for Engineers 2B
This course introduces first year engineering students
to
 Simple first order differential equations.
 Second order ordinary differential equations.
 Matrices, determinants, eigenvalues and eigenvectors.
 Basic ideas in statistics.
The course is currently taught by
Dr. Matthias Heil. This page provides online access to the lecture
notes, example sheets and other handouts and announcements.
Please note that the lecture notes only summarise the main results
and will generally be handed out
after the material has been covered in the lecture.
If you have any questions about the lecture, please see me in my
office (18.07), contact me by email (
M.Heil@maths.man.ac.uk) or catch me after the lecture.
Exam:
EXAM: As far as I know (please
check!), the exam will be on May 18, 2000 from
24pm
Please note that this course has not been given before, so there
are no (representative) old exams available.
Here's a mock exam paper which should give you some idea of what
to expect...
GOOD LUCK!

The course will be examined in a two hour exam in June.
Coursework (in the form of two module tests) will
account for 20% of the final mark. The module tests will be
held during the normal lecture times and the dates
will be announced approximately 2 weeks in advance.
Handouts:
 Example
Sheet I
(pdf).
 Table
of elementary integrals(pdf).
 Example
Sheet II (pdf).
 Handout
for 1st order ODEs (pdf) .
 Example
Sheet III
(pdf).
 Reminder:
How
to find the roots of quadratic polynomials (pdf).
 Illustration
of a purely damped motion (pdf).
 Illustration
of a damped oscillatory motion (pdf).
 Illustration
of a critically damped motion without overshoot (pdf).
 Illustration
of a critically damped motion with overshoot
(pdf).
 Example
Sheet IV (pdf).
 Illustration
of the amplitude of a harmonic oscillator in response to
harmonic forcing (pdf).
 Illustration
of the phase relationship of a harmonic oscillator in response to
harmonic forcing (pdf).
 Handout
for resonance (pdf)
.
 Illustration
of the forced and transient components in the response of a harmonic
oscillator to harmonic forcing (pdf)
.
 Example
Sheet V
(pdf).
 Handout
for 2nd order ODEs (pdf
).
 Copy of the OHP transparencies covering the introduction to matrix algebra
(pdf).
 Example
Sheet VI
(pdf).
 Copy of the OHP transparencies covering Gaussian elimination, pivoting and
determinants
(pdf).
 Example
Sheet VII
(pdf).
 Copy of the OHP transparencies covering eigenvalues and eigenvectors
(pdf).
 Example
Sheet VIII
(pdf).
 Copy of the OHP transparencies for the introduction to Statistics and
Probability
(pdf).
 Example
Sheet IX
(pdf).
 Copy of the OHP transparencies for continuous probability distributions
(pdf).
 Example
Sheet X
(pdf).
Please note a few corrections for previous
handouts (the files above have already been corrected).
Exam Revision:
Do you need more material to revise for the exam? Try this site:
I also recommend Schaum's Outline Series (that's the title of the
series  Schaum is not the author!) which you can find in the
library.
The URL of this page is:
https://personalpages.manchester.ac.uk/staff/matthias.heil/Lectures/MT1652/MT1652.html
Page last modified: May 9, 2000
Back to Matthias Heil's home page.