Registry
Module Specifications
Archived Version 2023 - 2024
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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 modules 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. | |||||||||||||||||||||||||||||||||||||||||
Learning Outcomes 1. State selected definitions and theorems from the content 2. Prove (parts of) selected theorems 3. Demonstrate a mastery of the concepts of multivariate differential and integral calculus 4. Apply techniques of multivariate calculus to solve a wide range of problems | |||||||||||||||||||||||||||||||||||||||||
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 Topological properties of Euclidean Space and ContinuityNorms and scalar products, convergence, open and closed sets, compactness, continuous functions and propertiesDifferential calculus and applicationsGradient, directional derivative, total derivative, sum and product rules, chain rule, Taylor expansion, Lagrange method, optimizationIntegral calculus and applicationsMultivariate integrals and main properties, integral theorems | |||||||||||||||||||||||||||||||||||||||||
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Indicative Reading List
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Other Resources None | |||||||||||||||||||||||||||||||||||||||||
Programme or List of Programmes | |||||||||||||||||||||||||||||||||||||||||
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