Registry
Module Specifications
Archived Version 2014 - 2015
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Description This module introduces students to the theory, practice and application of calculus of several variables. The module builds on the first-year module on calculus of one variable. Students will learn how to differentiate and integrate functions of several variables, and how the interplay of differentiation and integration leads to the integral theorems. The module teaches essential know-how and skills to understand more advanced methods in analysis in general and in probability in particular. | |||||||||||||||||||||||||||||||||||||||||
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Learning Outcomes 1. state selected definitions and theorems from the module content 2. demonstrate understanding of selected definitions from the module content 3. prove (parts of) selected theorems from the module content 4. solve a wide range of problems from the module content | |||||||||||||||||||||||||||||||||||||||||
All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml |
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Indicative Content and
Learning Activities Differential CalculusLimits and Continuity; directional and partial derivatives; affine approximation and derivative; chain rule; higher derivatives; mean value theorem and Taylor s theorem; determination of local maxima and minima; Lagrange multipliers; statements of inverse and implicit function theorems.Integral CalculusDouble integrals; Fubini s theorem; Jacobians and change of variables formula; triple integrals.Integral TheoremsGreen's theorem; statements of the Gauss theorem and the Stokes theorem. | |||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||||
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