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CHE1200 - Syllabus:
NOTE: This local
version is NOT the offical version of the CHE1200 syllabus.
The official version is the one on e-sims.
| Credit Value: |
4 ECTS |
| No. of Lectures: |
28 |
| No. of Tutorials/Labs: |
28 |
| Year: |
1 |
| Semesters: |
1 & 2 |
| Pre-requisite: |
O-Level Maths |
1. Elementary
algebra:
- Evaluation of expressions:
Introduction
to the f(x) notation, brackets, factorising, solving
quadratic
equations, solving simultaneous equations, partial fractions,
inequalities,
sigma and pi notation
- Functions: trigonometric,
exponential, logarithmic,
inverse functions,
- Essential co-ordinate
geometry
- Complex numbers
- Series
2. Calculus
(Theory):
- Differentiation:
Differentiation of basic functions, product rule, quotient
rule, minima and maxima, function of a function, chain rule, curve
sketching
and essential coordinate geometry, complex numbers, Maclaurin and
Taylor
Series.
- Integration: Integration of
basic functions. Integration by substitution,
integration by parts, finite integration, numerical integration.
- Functions of several
variables and partial differentiation.
- Differential equations:
First and second order differential
equation, boundary conditions
3. Calculus
(Applications):
- Application of
differentiation to locate and identify turning points.
- The role of calculus in
thermodynamics.
- The use of integration to
calculate p-V work (i.e. to find the area under
p-V graphs).
- Integration as a means to
obtain a 'measurable' change in a quantity, delta_x,
from infinitesimally small changes, dx.
- Partial differentiation
and state functions.
- The use of partial
derivatives to differentiate expressions of the sort
G = H- TS, and then use these to find how, for example, G varies with T
at constant p.
- The role of differential
equations in:
- Chemical kinetics;
- Quantum mechanics.
4. Matrices
and determinants:
- Matrix
notation
- Elementary
matrix operations and properties
- Determinants
- Inverse
matrices
- Eigenvalues
and eigenvectors
5. Probability
and statistics:
- Permutations
and combinations
- Introduction
to statistics
- Regression
analysis
- Applications
6. Mathematics
through computers:
- Plotting of curves, data
analysis, etc.
Method of assessment:
Course work: 25%
End of year exam: 75%
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