
CHE1200  Syllabus:
NOTE: This local
version is NOT the offical version of the CHE1200 syllabus.
The official version is the one on esims.
Credit Value: 
4 ECTS 
No. of Lectures: 
28 
No. of Tutorials/Labs: 
28 
Year: 
1 
Semesters: 
1 & 2 
Prerequisite: 
OLevel 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 coordinate
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 pV work (i.e. to find the area under
pV 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%




