
The student is able to (especially w.r.t. functions of two or three variables):
 work with partial derivatives and applications.
 define and evaluate double and triple integrals over bounded regions


Calculus 2 is the continuation of Calculus 1A and 1B, and is followed by a course in Vector Calculus in Module 5. The course introduces material, techniques and notions needed in disciplines such as classical mechanics, thermodynamics, fluid dynamics, and probability theory. In this course, the main subjects are differentiation and integration of functions that depend on more than one independent variable.
The first part of the course is about partial differentiation, its definition, computation techniques (such as the chain rule), and applications such as: linearizing and approximating multivariate functions via Taylor's formula; finding tangent planes and normal lines to a surface; detecting and classifying critical points and computing extreme values of a function.
The second part of the course focusses on multiple integrals, which are defined as limits of Riemann sums. Multiple integration is used, for example, to find areas or volumes of bounded regions in the plane or in the space. Emphasis is given on the description of bounded and unbounded regions in different coordinate systems. A part of the course is dedicated to the problem of finding the center of mass of a body, and on how to detect and employ symmetries to simplify computations.





Bachelor Chemical Science & Engineering 
  Required materialsBookG.B.Thomas, M.D. Weir, J.R. Hass: ‘Thomas’ Calculus, Early Transcendentals’, (special edition for UT). ISBN: 9781784498139 

 Recommended materialsInstructional modesAssessmentPresence duty   Yes 
 Lecture
 TutorialPresence duty   Yes 

 TestsFinal exam
 Case


 