
After this course the student is able to:
 calculate double and triple integrals over a general defined region;
 apply standard coordinate transformations (polar, cylindrical and spherical) to multiple integrals;
 work with divergence and curl of a vector field
 calculate line and surface integrals of functions and vector fields over general regions;
 apply the theorems of Green, Stokes and Gauss;
 formulate the notions of series, sequences;
 determine the convergence of sequences;
 find the Taylor series expansion of simple functions.


Calculus B is the direct successor to Calculus A. In Calculus A the focus was differentiation, while in Calculus B the focus lies at multiple integration of functions of two or more variables. We start with an introduction to multiple integration and exercise with various computation techniques. We extend our knowledge to integration over nonstraight curves and nonflat surfaces. This is a prerequisite for the great integration theorems of Green, Stokes and Gauss, with which we conclude this course.



 Assumed previous knowledgeMandatory: Calculus A (202001172) 
Master Chemical Engineering 
Master Civil Engineering and Management 
Master Construction Management and Engineering 
Master Mechanical Engineering 
Master Sustainable Energy Technology 
  Required materialsBookG.B.Thomas, M.D. Weir, J.R. Hass: ‘Thomas’ Calculus, Early Transcendentals’, (special edition for UT). ISBN: 9781784498139 

 Recommended materialsInstructional modesGuided self study
 Lecture
 Tutorial

 TestsWritten exam


 