MAST20029 Engineering Mathematics Notes | Assignment Help | Syllabus
University: University Of Melbourne
“This course covers essential engineering mathematics techniques such as manipulating vector differential operators, calculating numerous integrals, and utilizing integral theorems. A number of ordinary and partial differential equations are solved and their solution behavior is analyzed using a variety of techniques. The topic also covers sequences and series, as well as the terms convergence and divergence.
Vector calculus, including the Gauss and Stokes theorems; sequences and series; Fourier series, Laplace transforms; systems of homogeneous ordinary differential equations, including phase plane and linearization for nonlinear systems; second order partial differential equations and variable separation are among the topics covered.
Learning outcomes that are expected
Students should be able to do the following after completing this course:
vector differential operators to modify
define sequence and series convergence and divergence
Laplace transformations are used to solve ordinary differential equations.
For linear and nonlinear systems of ordinary differential equations, draw phase plane portraits.
represent appropriate functions using the Fourier series
Separation of variables is used to solve second order partial differential equations.
MATLAB is a programming language that may be used to do basic numerical and symbolic computations.
Skills that are universal
Students will have the chance to acquire general abilities that can help them in any professional route, in addition to acquiring specialized mathematics skills. These are some of them:
analytical skills: the ability to construct and express logical arguments and work in abstract or general terms to increase the clarity and efficiency of analysis; collaborative skills: the ability to work in a team; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies; problem-solving skills: the ability to engage with unfamiliar problems and identify relevant
Computer skills: the ability to utilize mathematical computing programs; time-management skills: the capacity to fulfill regular deadlines while managing conflicting responsibilities.” ”
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