# MATH10140 Advanced Calculus for Economics and Finance

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.

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Curricular information is subject to change

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
Lectures

36

Tutorial

12

Specified Learning Activities

26

Autonomous Student Learning

26

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 Open Book Exam Component Scale Must Pass Component % of Final Grade
Quizzes/Short Exercises: There will be five quizzes sets during the semester. n/a Standard conversion grade scale 40% No

15

Exam (In-person): Midterm Exam during week 7 of the semester. n/a Standard conversion grade scale 40% No

35

Exam (In-person): This is a Final Exam which takes place during the exam session. n/a Standard conversion grade scale 40% No

50

Carry forward of passed components
No

Resit In Terminal Exam
Autumn Yes - 2 Hour