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Covers use of calculus and applied linear algebra in solving problems that arise in the modelling of real-world situations in biology, physics, chemistry and engineering. Introduction to phenomena that involve continuous change with time; dynamical systems. Linear and non-linear differential equations. Differential equations of first order. Examples. Separable and linear equations. Non-linear equations, transformations. Second-order equations; examples. Solutions of forced and unforced equations. Systems of first-order differential equations, reduction to algebraic systems. Eigenvalues, eigenvectors. Linear independence, orthogonality. Inner product spaces. Laplace transforms.

Summary 2021

Unit name Linear Algebra and Differential Equations
Unit code KMA254
Credit points 12.5
Faculty/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Teaching staff

Prof L Forbes

Level Intermediate
Available as student elective? Yes
Breadth Unit? No



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About Census Dates




KMA152 OR JEE103 and KMA154 OR JEE104


Teaching Pattern

3x1-hr lectures, 1-hr tutorial, 1 computer lab weekly


2-hr exam (70%), internal assessment (30%)

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