Simulateous equations, binomial expansions, polynomials, functions, rational functions, partial fractions, limits, differentiation.
Applications of differentiation (maxima and minima, linear approximation, Newton's method), indefinite and definite integrals, logarithmic and exponential functions, applications of integration to areas, volumes, arc lengths.
Differential equations (first order, linear with constant coefficients, systems of first order equations), numerical methods, matrices and determinants, curve fitting.
There will be a multiple-choice examination at the end of each of the aforementioned terms. Each of these exams will count 10% of your final mark for these two terms. The final examination will count 80% of your final mark for these two terms.
There will be a computer project during Hilary term that will count
10% of your final mark. So this is how the final mark for Course
123 is calculated: