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Courses tagged with: calculus
Describing motion along a line
http://openlearn.open.ac.uk/course/view.php?name=S207_2
Motion is vital to life, and to science. This unit will help you to understand why classical motion is probably the most fundamental part of physics. You will examine motion along a line and the ways in which such motion can be represented, through the use of graphs, equations and differential calculus.
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Modelling with systems of differential equations
http://openlearn.open.ac.uk/course/view.php?name=MST209_8
This unit is intended to further develop your understanding of Newtonian mechanics in relation to oscillating systems. In addition to a basic grounding in solving systems of differential equations, this unit assumes that you have some understanding of eigenvalues and eigenvectors.
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Systems of differential equations
http://openlearn.open.ac.uk/course/view.php?name=MST209_7
This unit shows how various situations can be modelled by a system of linear differential equations. The prerequisite requirements to gain full advantage from this unit are a basic understanding of differential equations, a familiarity with the properties of matrices and determinants and some understanding of eigenvalues and eigenvectors.
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Tags: maths, modelling, MST209, MST209_7, calculus, eigenvalues, vectors
Modelling with differential equations: oscillations
http://openlearn.open.ac.uk/course/view.php?name=MST209_6
This unit is intended to develop your understanding of Newtonian mechanics in relation to oscillating systems. In addition to a basic grounding in calculus, this unit assumes that you have some understanding of how to solve second-order linear constant-coefficient differential equations; how to take the dot product of two vectors; of solving statics...
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Modelling with first order differential equations
http://openlearn.open.ac.uk/course/view.php?name=MST209_5
This unit lays the foundation of Newtonian mechanics and in particular the procedure for solving dynamics problems. The preresquisite skills needed for this unit are the ability to solve first and second-order differential equations, a knowledge of vectors, and an understanding of the concept of a force
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Differential equations
http://openlearn.open.ac.uk/course/view.php?name=MST209_2
This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex num...
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Tags: MST209, MST209_2, maths, calculus
Modelling with Fourier series
http://openlearn.open.ac.uk/course/view.php?name=MST209_10
This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations.
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Tags: MST209, MST209_10, Fourier, maths, mathematics, calculus
First-order differential equations
http://openlearn.open.ac.uk/course/view.php?name=MST209_1
This unit introduces the topic of differential equations. The subject is developed without assuming that you have come across it before, but it is taken for granted that you have a basic grounding in calculus. In particular, you will need to have a good grasp of the basic rules for differentiation and integration.
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Tags: MST209_1, MST209, calculus, mathematics, maths
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