Department of Chemistry   University of Oxford

MATHEMATICS FOR CHEMISTRY

Prof. P.J. Grout

Michaelmas Term - First Year

Linear equations and determinants.
Vector algebra and applications to mechanics.
Plane polar, spherical polar and cylindrical polar coordinates.
Inverse functions.
Hyperbolic functions.
Limits and their determination.
Elementary calculus of one and of two variables.
Taylor series and L'Hopital's rule.
Matrices.
The algebra of Complex numbers.
First order differential equations - exact, separable, homogeneous and linear.
Second order differential equations with constant coefficients.
Simple applications of differential equation including kinetics and dynamics.
Elementary partial differential equations - simple applications including diffusion, waves and quantum mechanics.


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