MATH10140 Advanced Calculus for Economics and Finance

Academic Year 2020/2021

This course builds on MATH10130 (Introduction to Analysis for Economics and Finance) and focuses on multivariable Calculus. Topics: 1) Improper integrals and applications; 2) Higher order linear ordinary differential equations; 3) Functions of two or more variables; 4) Maxima and Minima, Constrained optimization problems 5) 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.

Solve higher order linear ordinary differential equations (with constant coefficients).

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
Continuous Assessment: Online Quizzes Throughout the Trimester n/a Standard conversion grade scale 40% No

20

Examination: Final Exam 2 hour End of Trimester Exam Yes Standard conversion grade scale 40% No

50

Continuous Assessment: Midterm Exam Unspecified n/a Standard conversion grade scale 40% No

30


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

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