MATH10140 Advanced Calculus for Economics and Finance

Academic Year 2023/2024

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.

Show/hide contentOpenClose All

Curricular information is subject to change

What will I learn?

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

How will I learn?

Student Effort Type	Hours
Lectures	36
Tutorial	12
Specified Learning Activities	26
Autonomous Student Learning	26
Total	100

Am I eligible to take this module?

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

How will I be assessed?

Assessment Strategy

Description	Timing	Open Book Exam	Component Scale	Must Pass Component	% of Final Grade
Examination: Final Exam	2 hour End of Trimester Exam	No	Standard conversion grade scale 40%	No	50
Continuous Assessment: Online Quizzes	Throughout the Trimester	n/a	Standard conversion grade scale 40%	No	15
Continuous Assessment: Midterm Exam	Week 7	n/a	Standard conversion grade scale 40%	No	35

Carry forward of passed components
No

What happens if I fail?

Resit In	Terminal Exam
Autumn	Yes - 2 Hour

Assessment feedback

Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

Not yet recorded.

Associated Staff

Name	Role
Mr Lucien Francois	Tutor

When is this module offered?


Spring
Lecture	Offering 1	Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33	Fri 09:00 - 09:50
Lecture	Offering 1	Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33	Mon 10:00 - 10:50
Lecture	Offering 1	Week(s) - 20, 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33	Wed 10:00 - 10:50
Tutorial	Offering 1	Week(s) - 21, 22, 23, 24, 25, 26, 29, 30, 31, 32, 33	Wed 14:00 - 14:50
Spring