GS102 :

Department

Department of Material Engineering

Academic Program

Bachelor in Materials and Metallurgical Engineering

Type

General

Credits

04

Prerequisite

GS101

Overview

· Integration: definite and indefinite integrals, and their applications (area under a curve, area bounded by two curves, solids of revolution (disc method)).

· Transcendental functions: exponential, logarithm functions, the hyperbolic functions, hyperbolic inverse functions, and their derivatives and integrations

· Techniques of integration: (change of variables to find integrations, integration by parts, integration by substations, integration using partial fraction, reduction formulas).

· The complex numbers: (definition, properties, conjugates, absolute values, polar forms, and determining roots).

· Functions of several variables: (partial derivatives, implicit differentiation, chain rule and its applications, total differentiation and its applications, total differentiation of derivatives of second and higher order, maxima and minima, and Lagrange multiplier method).