1E2 (MATH19682) - Course Materials

Resources by Prof Gajjar

Download and print the HELM modules on topics relevant to 1P2.

Integration:: Basic concepts of integration (includes integration as reverse of differentiation); Definite integrals; The area bounded by a curve; Integration by parts; Integration by substitution and partial fractions; Integration of trigonometric functions .; Volumes of Solids of Revolution
Series: Sequences and Series (includes arithmetic and geometric series and the summation notation); Infinite Series; Binomial Series (as in the course); Power Series (useful background information); Maclaurin and Taylor Series (as in the course)
Partial Differentiation: Functions of several variables; Partial derivatives; Stationary points; Errors and percentage change; Polar co-ordinates
Functions of Several Variables: Functions of several variables; Stationary points
Multiple integration: Multiple integration over rectangular areas; Multiple integration over non-rectangular areas; Triple integrals; Multiple integration using a change of variables
Ordinary Differential Equations: Modelling with differential equations (context material); First Order ODEs (context material); Second Order ODEs; Applications of Differential Equations (context material)