MAT 301 Analysis 1 CA 2020

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MAT 301: University of Buea, Continuous Assessment Test II (05-02-2020, 7:00am, 2hrs; exam-taker's own handwritten scratch work in the margins not transcribed): Euler's theorem proof generalized to R^n; gradients of ln|r| and 1/|r|; Lagrange-multiplier critical points of y^2-x^2 on an ellipse, with a worked explanation of why the (unconstrained) Leading Minors Test does not directly classify these constrained critical points; nearest-point-on-a-disk-to-a-line optimization; polar-coordinate double integrals (an annular-sector integral and a Gaussian-type integral over the unit disk).