Explore UCD

UCD Home >

MATH20060

Academic Year 2023/2024

Calculus of Several Variables (MATH20060)

Subject:
Mathematics
College:
Science
School:
Mathematics & Statistics
Level:
2 (Intermediate)
Credits:
5
Module Coordinator:
Assoc Professor Marius Ghergu
Trimester:
Autumn
Mode of Delivery:
Blended
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

This course introduces the calculus of functions of two or more real variables. The main topics of the module are: domain of definition and level sets of several variable functions, limits and continuity, partial derivatives, linear approximation and tangent planes to a surface, chain rule, Implicit Function Theorem, second order derivatives, critical points, maxima and minima, constrained optimisation and Lagrange multipliers method.

About this Module

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 and quadratic approximation of a function - employ the Implicit Function Theorem - find and classify critical points - optimise a function over a region or over a curve or surface.

Student Effort Hours:
Student Effort Type Hours
Autonomous Student Learning

70
Lectures

24
Tutorial

6
Total

100

Approaches to Teaching and Learning:
The teaching will take place on campus as per UCD guidelines. Full lecture notes 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 In Module Component Repeat Offered
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
 No
Examination: 1 hour Midterm Exam Week 7 No Standard conversion grade scale 40% No
35
 No
Examination: Final Exam in December 2 hour End of Trimester Exam No Standard conversion grade scale 40% No
50
 No

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

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Mr Kevin Allen Tutor
Ms Hannah Kane Tutor
Changhong Li Tutor
Print this page
Fill in the following details:
Enter the body of your query here.

From time to time UCD would like to send you further information that we feel, based on your enquiry, would be of interest to you.