MAT 301 Analysis 1 Exam 2026

About this paper

MAT 301: University of Buea, First Semester Exam (06-02-2026, Dr Djiomba Sylvie, 1-page paper): a four-'petal' disconnected-set sketch and classification (disk minus an inscribed L1-diamond, with a flagged and resolved subscript/norm notational inconsistency in the source); C^k definitions; partials of x^2*e^y found from the limit definition; a 15-mark Lagrange-multiplier optimization of xy^2 on a circle proving every critical point of the Lagrangian is a saddle point of the unconstrained 3-variable Lagrangian via a general indefinite-Hessian argument (even though some of those points are genuine constrained extrema of the original function); a change-of-variables (u=x+y, v=x-y) double integral evaluated to pi^4/3 (exam-taker's own scratch work not transcribed).