Computational Mathematics

Complete and in-depth summaries of the Integral Calculus section covered in APPM1004. These colourful summaries provide step-by-step examples to aid understanding.

Complete and in-depth summaries of the Differential Calculus section covered in APPM1004. These summaries are colourful and include step-by-step examples to aid understanding.

This summary includes more complex applications of Differential Calculus, explained in easy-to-follow steps. It outlines total differentials, interpreting the results of first and second derivative tests in terms of economic theories, minimising and maximising three-dimensional functions and Lagrange Multipliers.

This note gives an introduction to Differential Calculus, including limits, rates of change, rules of differentiation, second derivatives, derivative testing, absolute and relative extrema, differentials and implicit differentiation among other topics. It includes colour-coded explanatory diagrams, formulae and step-by-step methodologies.

This note outlines the methods used for calculating areas between and below graphs including Simpson's Rule, the rectangle method and the trapezoidal method. It shows how this is used in Economics applying to profits and losses as well as how to solve differential equations. The note includes diagrams, formulae, colour-coded sections and descriptions.

This note gives a summary of basic integration, including Integration Rules, Formulae, Calculating the Constant and Integration by Parts. The notes are easy, clear and colour-coded and specifically geared toward university and school students for test and exam purposes.