Mathematics II (MATH2014)

This document clearly describes, with detailed notes and examples, how to evaluate/solve the following: ~ Vector differentiation ~ Curvature ~ Torsion ~ Trajectories and orthogonal trajectories as taught by the University of the Witwatersrand. As a student, I am always searching for a great set of notes that I can rely on to ensure that I can achieve the best of my abilities. With this colour coded document, a second year can utilise their time more efficiently to practice more, inste...

This document clearly describes, with detailed notes and examples, how to evaluate/solve the following: ~ Path Integrals in Scalar Fields ~ Path Integrals in Vector Fields ~ Double and Repeated Integrals ~ Enclosed Volumes ~ Change of variables in Double Integrals ~ Green's Theorem - Corollary 1 as taught by the University of Witwatersrand As a student, I am always searching for a great set of notes that I can rely on to ensure that I can achieve the best of my abilities. With this c...

This chapter includes notes on Vector Differentiation, Curvature, Torsion and Trajectories. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Quadric Surfaces, Directional Derivatives, Potential Functions, and Stationary Points. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Line Integration, Path Integral in Vector Fields, Double and Repeated Integrals, Volume between Two Surfaces and Green's Theorem. Each section includes multiple worked examples. Notes were taken on an iPad

This chapter includes notes on Laplace Transforms, Inverse Laplace Transforms and solving Differential Equations using Laplace. Each section includes multiple worked examples. Notes were taken on an iPad