Mathematics for Economics

Learning Outcomes

Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Solve difference and differential equations.
• Define sequences and evaluate series, including Taylor/Maclaurin expansions.
• Solve unconstrained optimisation problems involving functions of single and multiple variables.
• Perform basic matrix operations, including addition and subtraction, scalar multiplication, matrix multiplication, transposition and inversion.
• Use the Lagrange multiplier method to solve constrained optimisation problems involving functions of single and multiple variables.
• Solve simultaneous equations.
• Solve problems involving variables that discretely and continuously grow over time, and compute present discounted values, future compounded values, and rates of growth.
• Distinguish the types of stationary points.
• Manipulate exponential and logarithmic functions and solve problems involving such functions.
• Perform single, double, and by parts integration.
• Calculate arc and point elasticity.

• Single Variable Optimisation
• Economic Applications of Functions, Derivatives and Single Variable Optimisation
• Integration and Economic Applications
• Elasticity
• Compound Growth and Discounting
• Exponential and Logarithmic Functions
• Functions of Several Variables
• Multivariate Optimization
• Constrained Optimization
• Matrix Algebra
• Difference and Differential Equations
• Taylor/Maclaurin series expansions

Lectures, tutorials, and private study.

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.