The lecture on Elementary Numerical Mathematics (ElNuMa) covers a broad range of numerical problems and introduces basic numerical schemes to solve them. It discusses the problems introduced by finite-digit arithmetics and discusses basic numerical schemes in these fields:
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Solutions of Equations in One Variable
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Interpolation and Polynomial Approximations
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Numerical Differentiation and Integration
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Ordinary Differential Equations
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Direct Methods for Solving Linear Systems
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Iterative Techniques in Linear Algebra
This course is presents the recordings of the online lectures and tutorials which are held through zoom meetings. There are two 90 minute lectures and one 90 minute tutorial each week.