Simple properties and graphs of thelogarithmic and exponentialfunctions. Laws of logarithms. Solution of ax = b.13. Differentiation.Derivative of xn for n a rationalnumber.Differentiation of standard functions,including products, quotients,composite functions and of simplefunctions defined implicitly orparametrically.Applications to gradients, tangentsand normals, stationary points,velocity and acceleration, rates ofchange, small increments andapproximations; practical problems involving maxima and minima.14. Integration as the inverse ofdifferentiation. Definite integrals. Integration of simple functions. Applications to plane areas, volumes,and problems in kinematics.15. Elementary permutations andcombinations.16. Introduction to probability. The sumand product laws of probability. Expectation.17. Kinematics of a particle moving in astraight line with uniformacceleration.
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