University of Portsmouth (UOP)

Lecture notes from my first year LLB Contract Law Modules, these notes helped secure a 2:1 overall module grade.

The document above comprises detailed information and explanations . It covers the following topics: Topic 1: Animal Behaviour: This section provides a comprehensive understanding of animal behaviour, including its definition and importance in various academic and practical contexts. It also highlights key historical figures in the field of ethology and introduces the concept of ethology itself, emphasizing the significance of studying animals in their natural environments. Key Concepts in...

'Introduction to the immune system' consists of a brief overview of our bodies early response to defend against infections - the topics include the different cells in the immune response, and different types of immunity.

this document is an introduction to immunology. it covers interesting topics such as different types of immunity (adaptive and innate), the different cells in the immune system, and a general insight as to how our body responds to early infections.

This document contains everything you need to know about Sequences and Series. It contains every different test you can do to test for convergence and evaluate series. It also contains theorems and proofs of the theorems. In addition, it contains the properties of limits and every type of sequence and series. This is a very useful document for any student studying Calculus.

This document contains everything you need to know about multiple integration. This is very useful to any student studying calculus.

This document contains everything you need to know to fully grasp the concept and usefulness of multivariable differentiation. This contains proof of the chain rule, informal and formal definitions of limits, level sets, level curves and tangent planes. It also includes information about critical points, derivatives, directional derivatives and much more. This is very useful for any student studying Calculus

This document contains the definitions and everything you need to know on Hyperbolic Functions. This mainly focuses on the definitions of the functions and the differentiated and integrated versions. This is very useful for any student studying Calculus

This document contains everything you need to know on the tougher aspects of integration. It focuses mainly on reduction formulae of sin , cos and tan and their proofs. However, it does also include integrals using partial fractions, Product powers of sin and cos and Pythagorean Substitutions. This document is very useful for any student studying calculus.

This document provides the basics of Taylor Approximation and how to calculate how many iterations are required for a certain remainder. It also focuses on the numbers e and pi and on logarithmic differentiation