Specialist Maths - Unit 4

Part1 - Differentiation and applications. Second derivative and curve sketching, tangents and normals to curves, maxima and minima. Kinematics, implicit differentiation.

Part 2 - Anti-differentiation, integrating powers, linear and non-linear substitutions. Definite integrals, powers of trig functions, integrals of inverse trig functions. Areas and volumes between curves, integrals involving partial fractions. The anti-derivative, deducing and graphing.

Part 3 - Statics and mechanics, Lami’s theorem and forces. Problem solving, friction, Newton’s laws and dynamics.

Part 4 - Differential equations, verifying solutions, growth, decay, cooling and dilution. Euler’s method, slope fields, acceleration as a space derivative.

01.01.2008