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Monthly Archives: April 2012
Thinking Infinitesimally – Multivariate Calculus (II)
Chain Rule for Multivariate Calculus We continue our discussion of multivariate calculus. The first item here is the analogue of Chain Rule for the multivariate case. Suppose we have parameters f, u, v, x, y, z. Suppose {u, v} are independent parameters (in particular, … Continue reading
Thinking Infinitesimally – Multivariate Calculus (I)
[ Background required: some understanding of singlevariable calculus, including differentiation and integration. ] The object of this series of articles is to provide a rather different pointofview to multivariate calculus, compared to the conventional approach in calculus texts. The typical … Continue reading
Posted in Notes
Tagged calculus, differentiation, intermediate, multivariate, partial differentiation
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Why Do We Need Eigenvalues and Eigenvectors?
[ Prerequisites : basic linear algebra, matrices and determinants. ] Eigenvalues and eigenvectors are often confusing to students the first time they encounter them. This article attempts to demystify the concepts by giving some motivations and applications. It’s okay if … Continue reading