GS101 :

Department

Department of Material Engineering

Academic Program

Bachelor in Materials and Metallurgical Engineering

Type

General

Credits

03

Prerequisite

Overview

· Review: sets, inequalities and absolute values inequalities.

· Functions: definition, limits, continuity, asymptotic lines, and derivatives (definition, theorems, chain rules, implicit differentiation, rates of change, derivative of higher order).

· Trigonometric functions and inverse trigonometric functions and their derivatives.

· Applications: slop of a tangent, the differential and approximations, the critical points, the relative and absolute maxima and minima, concavity and points of inflection, curve sketching, Roll’s theorem, mean value theorem, and L’hopital’s rule.