“These MA107 notes condense down the lecture notes into a much more usable and accessible format. They still contain everything needed for me to achieve a mark of 81 in the exam in a useable format. Friends that I shared the notes with never picked up the textbook again.” ~ Note from the seller and author.
These notes cover: techniques of calculus (differentiation, partial differentiation, optimisation and integration), methods of linear algebra (use of matrices), and the solution of difference and differential equations. The notes are laid out systematically, with emphasis on their application to economic problems. Examples are used throughout the notes for motivation and illustration.
Specific topics are as follows: sets, functions, equations, graphs. Difference equations, sequences, limits. Differentiation, inverse functions, exponential and logarithmic functions. Partial differentiation, chain rule, homogeneous functions. Optimisation in two variables: unconstrained and constrained. Lagrange multipliers. Vector notation and convexity. Matrix notation, systems of linear equations, inverse matrices. Integration. Differential equations.
This document contains 30 pages and over 45000 words.