SOEE1300
Intermediate Mathematics for Environmental Sciences
New!!! Past exam paper
A copy of the January 2007 is available here
and solutions are available here. Note the
format of the formula sheet.
Lectures:
10am-11am Mondays: Man Made Fibres LT3
(opposite the student union and up lots of stairs).
11am-12pm Thursdays: Parkinson B22
(in the basement of the Parkinson building).
Module Details
Semester: 1
Pre-requisites: A-level mathematics or equivalent or pass in
SOEE0210 and SOEE0310
Objectives: On completion of this module, students will be
able to:
- Differentiate and integrate functions of one variable;
- Manipulate complex numbers;
- Manipulate functions of complex numbers;
- Add, subtract and differentiate vectors;
- Calculate scalar and vector products;
- Evaluate simple limits;
- Obtain Taylor series of functions.
Syllabus:
- Review of elementary functions and their inverses;
- Limits;
- Derivatives and Extrema;
- Taylor Series;
- Integration;
- Complex numbers;
- Vector algebra and products.
Forms of teaching: Lectures: 14 x 1 hour; Tutorials: 16 x
1 hour.
Assessment: 85%: 2 hour exam at end of semester; 15%: 4 assessments during semester.
Recommended Text
The module is not specifically based on any single text. Many
mathematics texts for scientists or engineers are suitable. Students
may wish look at what is available and decide for themselves which
suits them best. However, the following is suitable:
Mathematics for Engineers, Anthony Croft & Robert
Davison, Prentice Hall, 1999. ISBN 0-201-87752-X.
Course Notes
The course notes are available here:
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Appendices
You can also download additional notes on
multi-angle trig. identities,
small angle limits of sin(x) and cos(x) and
vector products.
Problem Sheets
There are 4 problem sheets. Questions in section "A" will be
worked through during the lectures. Questions in section "B"
are for practice. "B" questions
should not be handed in, but help with answering
these questions will be available at the examples classes and solutions will be made available.
Questions in section "C" are for assessment. The deadlines for handing
these assessments in are given below, and help will available at the
examples classes. Solutions to assessed problems wil be available after
the deadline days.
Section D contains questions at a harder level. These will not be assessed, but
20% of the exam mark will be for answering a question at this level. If you wish
to get a really high mark, you are advised to study these problems.