Cauchy theorem Study guides, Revision notes & Summaries

The 4-year degree I am studying for is Bachelor of Science in Financial Mathematics. These notes were part of my 3rd-year module, Partial Differential Equations. The course built on a previous module, Ordinary Differential Equations and expanded student's knowledge of Differential Equations. The course covered the topics: Types of PDEs, Cauchy Problems & Characteristics; Wave Equation; Canonical Forms of First & Second Order Equations; Hyperbolic, Parabolic & Eliptic PDEs; Quasi-Linear Equation...

My notes on the course Mathematical Physics at the University Of Sheffield. I do not claim all the content here is mine, it's mostly the images and equations that are copy-pasted from the lecturer's notes. But the descriptions/explanations are in my own words. Achieved an MPhys 1st Class Honours in theoretical physics. Contents: Sets And Functions Groups Rings And Fields Vector Spaces Basis And Dimension Generating Set Linear Maps And Linear Forms Kernel And Image Endomorphisms, Isomorphisms A...

This summary contains all material (including examples) discussed after the midterm of Probability Theory for Business Analytics and Math students of the Vrije Universiteit Amsterdam. The chapters included are: 5.4.1, 5.5, 5.6, 5.7, 6.1, 6.2, 6.3, 6.4, 6.5, 7.1, 7.2, 7.4, 7.5 & 8.3.1

Revision material for second term (term 2) of complex analysis at Durham University. Notes used for exam - quick revision sheet for last minute formulae, methods and notes about questions.

Page 2 of a second order differential equation exam study guide. Topics include linear independence, homogeneous linear equations, non-homogeneous linear equations, Cauchy-Euler equations, Laplace theorem, word problem applications. This exam study guide helped me very much, hopefully it will help you too. I got an 87% on a very hard exam.

This is page one of a front and back study guide for an exam on second order differential equations. The topics included between the two pages are linear independence, homogeneous linear equations, non-homogeneous linear equations, Cauchy-Euler equations, Laplace theorem, and word problem applications. Examples are included on the sheet. This sheet helped me very much with my exam, hopefully it can help you just has much. I got an 87% on a very hard exam.

Topics include: -the Cauchy-Riemann Equations -Harmonic Functions and Harmonic Conjugates -The Complex Exponential Function -The Complex Logarithmic Function -Complex Powers -Parametrization of Curves in the Complex Plane -Cauchy's Integral Theorem -Green's Theorem -Cauchy Integral Formula -Laurent Series