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MATH10140

Academic Year 2024/2025

Advanced Calculus for Economics and Finance (MATH10140)

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

Curricular information is subject to change.

This course builds on MATH10130 (Introduction to Analysis for Economics and Finance) and focuses on multivariable Calculus. Topics: 1) Improper integrals and applications; 2) Functions of two or more variables; 3) Partial derivatives, chain rule, linear approximation; 4) Second order derivatives, critical points; 5) Maxima and Minima, Constrained optimisation problems 6) Langrange multipliers and some applications to economics and finance.

About this Module

Learning Outcomes:

On completion of this module students should be able to:

Evaluate improper integrals.

Compute partial derivatives, implicit derivatives, gradients and directional derivatives and interpret their meaning geometrically.

Find local and absolute maxima and minima of functions.

Solve constrained optimization problems via the method of Lagrange multipliers

Student Effort Hours:
Student Effort Type Hours
Specified Learning Activities

26

Autonomous Student Learning

26

Lectures

36

Tutorial

12

Total

100


Approaches to Teaching and Learning:
Lectures, tutorials, enquiry and problem-based learning.

Requirements, Exclusions and Recommendations
Learning Requirements:

At least H4 or equivalent


Module Requisites and Incompatibles
Incompatibles:
MATH10060 - Diff & Integral Calc, MATH10170 - Maths for Engineers III, MATH10250 - Intro Calculus for Engineers , MATH10300 - Calculus in the Math. Sciences, MATH10310 - Calculus for Science, MATH10330 - Calculus in the Phy Sciences, MATH10350 - Calculus (MPS), MST10020 - Calculus II, STAT10010 - Research Methods, STAT10140 - Research Methods for Science


 

Assessment Strategy
Description Timing Component Scale Must Pass Component % of Final Grade In Module Component Repeat Offered
Exam (In-person): This is a Final Exam which takes place during the exam session. End of trimester
Duration:
2 hr(s)
Standard conversion grade scale 40% No
50
No
Exam (In-person): Midterm Exam during week 7 of the semester. Week 7 Standard conversion grade scale 40% No
35
No
Quizzes/Short Exercises: There will be five quizzes sets during the semester. Week 3, Week 5, Week 7, Week 9, Week 11 Standard conversion grade scale 40% No
15
No

Carry forward of passed components
No
 

Resit In Terminal Exam
Autumn Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Name Role
Björn Johannesson Tutor

Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Fri 09:00 - 09:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Mon 10:00 - 10:50
Spring Lecture Offering 1 Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Wed 10:00 - 10:50
Spring Tutorial Offering 1 Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33 Wed 14:00 - 14:50