MAT 301 Analysis 1 CA 2023

About this paper

MAT 301: University of Buea, Continuous Assessment I (25-10-2023, Dr Djiomba Sylvie -- a different instructor from this course's other papers, first appearance of a matrix/eigenvalue and multivariable-limit flavour): determinant, characteristic polynomial, and complex eigenvalues (-1, 1+i, 1-i) of a 3x3 matrix; defining/sketching/open-set properties of an open ball (with a flagged, resolved notational ambiguity in the ball's centre); level-surface and level-curve computations for a function involving e^(x^2+y^2); epsilon-delta limit definition; a two-variable limit shown to exist and equal 1/4 via algebraic simplification and multiple paths (after identifying and excluding a degenerate line along which the expression is identically undefined); partial derivatives of x^2y found directly from the limit definition.