MAT 301 Analysis 1 Exam 2020

About this paper

MAT 301: University of Buea, End-of-Semester Examination (28-02-2020, S. Tchuiaga, 3hrs): C^1/differentiability properties; continuity and C^1-ness of H(x,y)=2xy^2/(x^2+y^2) on R^2-{(0,0)}; Lagrange-multiplier optimization of 3x+y on a circle; a flagged figure-based level-set critical-point classification (saddle plus two extrema, exact coordinates not fully legible on the scan); double-integral and line-integral definitions/theorems; Fundamental Theorem of Line Integrals application; surface-area computation for z=xy over the unit disk; solving for constants making a vector field irrotational and expressing it as a gradient.