MT1652: Mathematics for Engineers 2B
This course introduces first year engineering students
- 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.
As far as I know (please
check!), the exam will be on
May 18, 2000 from
Please note that this course has not been given before, so there
no (representative) old exams available.
Here's a mock exam paper
which should give you some idea of what
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.
Please note a few corrections for previous
handouts (the files above have already been corrected).
of elementary integrals(pdf).
Sheet II (pdf).
for 1st order ODEs (pdf) .
to find the roots of quadratic polynomials (pdf).
of a purely damped motion (pdf).
of a damped oscillatory motion (pdf).
of a critically damped motion without overshoot (pdf).
of a critically damped motion with overshoot
Sheet IV (pdf).
of the amplitude of a harmonic oscillator in response to
harmonic forcing (pdf).
of the phase relationship of a harmonic oscillator in response to
harmonic forcing (pdf).
for resonance (pdf)
of the forced and transient components in the response of a harmonic
oscillator to harmonic forcing (pdf)
for 2nd order ODEs (pdf
- Copy of the OHP transparencies covering the introduction to matrix algebra
- Copy of the OHP transparencies covering Gaussian elimination, pivoting and
- Copy of the OHP transparencies covering eigenvalues and eigenvectors
- Copy of the OHP transparencies for the introduction to Statistics and
- Copy of the OHP transparencies for continuous probability distributions
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
The URL of this page is:
Page last modified: May 9, 2000
Back to Matthias Heil's home page.