MATH2305 Differential Equations And Applications Notes | Assignment Help | Syllabus
University: Australian National University
“This course explains how to model using differential equations and case studies from a variety of fields, including population dynamics, economics, electric circuits, mechanical systems, fluid flow, physics, and astrophysics. To enable for the study of the many models being studied, analytical techniques from the elementary theory of differential equations and calculus will be given. To investigate model behavior and get a better grasp of the implications of analytical investigations, the numerical program MATLAB will be utilized.
The following are some of the topics that will be discussed:
Nonlinear differential equations; Laplace transforms; first order differential equations; second order linear equations; systems of first order equations
Advanced Vector Calculus – Three-dimensional curves and surfaces; parametric representations; curvilinear coordinate systems; surface and volume integrals; Jacobians; gradient, divergence, and curl; identities involving vector differential operators; the Laplacian; Green’s and Stokes’ theorems”
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