University of Malta


CHE1200: Mathematics for Chemists
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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.
      1. The use of integration to calculate p-V work (i.e. to find the area under p-V graphs).
      2. Integration as a means to obtain a 'measurable' change in a quantity, delta_x, from infinitesimally small changes, dx.
      3. Partial differentiation and state functions.
      4. 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. 
      5. 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%

Last Updated: 03rd October, 2007

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