MATH20060 Calculus of Several Variables

Academic Year 2021/2022

This course introduces the calculus of functions of two or more real variables. Beginning with partial derivatives, the topics of linear approximation and the differential are dealt with. The course then examines critical points, maxima and minima, and constrained optimisation. Line integrals, double integrals, vector fields and the relationships between these concepts are explored.

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Curricular information is subject to change

Learning Outcomes:

The student will be able to - sketch a level set or multidimensional graph - compute limits of multivariable functions - calculate partial and directional derivatives - find and use the linear approximation of a function - find and classify critical points - optimise a function over a region or over a curve or surface - evaluate line and double integrals, and exploit the relationship between them.

Student Effort Hours: 
Student Effort Type Hours
Lectures

24
Tutorial

6
Autonomous Student Learning

70
Total

100
Approaches to Teaching and Learning:
The teaching will take place on campus as per UCD guidelines. Full lecture notes, pre-recorded videos of the lectures material and full solutions to tutorials will be made available on Brightspace to students who wish to follow the module remotely.

Tutorials take place on Fridays every second week starting from week 3.


 
Requirements, Exclusions and Recommendations
Learning Requirements:

MATH10350


Module Requisites and Incompatibles
Pre-requisite:
MATH10350 - Calculus (MPS)

Incompatibles:
MATH20140 - Multivariable Calculus (Sci)., MATH20240 - Mathematics for Engineers IV, MATH20290 - Multivariable Calculus for Eng, MST20070 - Multivariable Calculus


 
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: Final Exam in December 2 hour End of Trimester Exam Yes Standard conversion grade scale 40% No

50
Examination: 1 hour online Midterm Exam Week 8 Yes Standard conversion grade scale 40% No

35
Assignment: Students are required to complete online regular assignments on the Webwork platform during the semester. Throughout the Trimester n/a Standard conversion grade scale 40% No

15

Carry forward of passed components
No
 
Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment
• Online automated feedback

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