Handouts | Lectures | Contents | Books
Introduction to three dimensional geometry. Limits, continuity and Partial Derivatives of Multivariable Function. Vectors. Directional derivative. Tangent Planes and Normal Lines to the Surfaces. Maxima And Minima of Functions of two variables. Applications of Extrema of Functions. Double Integration in rectangular and polar coordinates. Vector Valued Functions. Integration of Exact differentials. Line integrals. Greens Theorem and its application. Divergence and Curl of a vector. Scalar Fields, Vector fields, Volume and Surface integrals. Conservative Fields. Divergence Theorem. Fourier Series. Laplace Transforms.