derivatives
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Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes.
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This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space.
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Naming Benzene Derivatives Introduction.
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Professor Diamond continues her discussion of the nervous system beginning with a discussion of myelin-forming oligodendrocytes and Schwann cells, saltatory conduction from the nodes of ranvier, and the similarity of the function of microglia to monocytes. She moves on to describe the development of the neural tube by drawing a cross-section of the neural tube and depicting the changes it undergoes, forming the ventricles of the brain, whi...more
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Professor Diamond continues her discussion of the nervous system, finishing her discussion of the derivatives of the neural tube. She begins by discussing the lamina terminalis and the four ventricles, relating each to the source of their derivation and the areas of the brain in which they are found. Next, she continues her discussion of diencephalon from the last lecture and describes the roles of the thalamus and hypothalamus. After d...more
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Introduction to partial derivatives.
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More on partial derivatives.
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Partial Derivatives of Vector-Valued Functions.
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Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series).
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Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular".
