MAT 301 Analysis 1 Exam 2021

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MAT 301: University of Buea, First Semester Examination (16-02-2021, S. Tchuiaga, 2hrs): definitions of continuity/differentiability/gradient/vector field/divergence/curl with physical meanings; full analysis of f(x,y)=xy^2/(pi*x^2+y^2) (a flagged denominator-reading choice resolving an ambiguous 'pi' placement in the scan, consistent with this course's recurring pattern); the same y^2-x^2-on-an-ellipse Lagrange problem as Paper 8; gradient of ln(x^2+y^2+z^2)^(1/2) and divergence of a given vector field; solving for constants making a vector field irrotational (with a flagged reading of a compressed second-component term, resolved to the only reading under which the stated problem has a solution).