MAST20029 - Engineering Mathematics Notes

Description

This is a comprehensive compilation of information from MAST20029 lectures, the textbook, tutorials, practicals, workshops, problem booklets and other useful sources I found online to aid my study. Each section (particularly the harder concepts) is supported by easy to read and understand dot points, diagrams, pictures and thorough example exam-style questions. Includes all summarised formulae required to know for each topic. Topics included are: 1. Vector fields (divergence, curl, identities of vector calculus) 2. Integration techniques (double integrals, triple integrals, polar, cylindrical and spherical coordinate systems). 3. Integrals over paths and surfaces (path integrals, line integrals, surface integrals, flux integrals, oriented surfaces). 4. Integral theorems (Gauss' divergence theorem, Stokes' theorem, Green's theorem, Divergence theorem in the plane). 5. Curvilinear coordinate systems 6. Systems of linear ODEs 7. Laplace transforms 8. Boundary value problems and Fourier Series 9. Partial differential equations (heat equation, wave equation, Laplace equation)