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ECO459 Social Sciences 2 Units intermediate

Advanced Mathematical Economics II

This course, Advanced Mathematical Economics, is a two-credit undergraduate course designed for Economics students. It provides a comprehensive understanding of how to apply mathematical techniques to solve economic problems. Topics include linear algebraic functions, differential calculus, integral calculus, and differential analysis. Students will learn to manipulate simultaneous equations, understand sequences and series, and apply differentiation and integration to economic models. The course aims to equip students with the analytical skills necessary for advanced economic studies.

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156h
Study Time
13
Weeks
12h
Per Week
advanced
Math Level
Course Keywords
Mathematical EconomicsLinear AlgebraCalculusDifferentiationIntegration

Course Overview

Everything you need to know about this course

Course Difficulty

Intermediate Level
Builds on foundational knowledge
65%
intermediate
∑
Math Level
Advanced Math
📖
Learning Type
Theoretical Focus

Course Topics

Key areas covered in this course

1

Linear Algebra

2

Simultaneous Equations

3

Calculus

4

Differentiation

5

Integration

6

Optimization

7

Differential Equations

8

Difference Equations

9

Dynamic Analysis

Total Topics9 topics

Requirements

Knowledge and skills recommended for success

Basic Mathematics

Introductory Economics

💡 Don't have all requirements? Don't worry! Many students successfully complete this course with basic preparation and dedication.

Assessment Methods

How your progress will be evaluated (3 methods)

assignments

Comprehensive evaluation of course material understanding

Written Assessment

tutor-marked assignments

Comprehensive evaluation of course material understanding

Written Assessment

final examination

Comprehensive evaluation of course material understanding

Written Assessment

Career Opportunities

Explore the career paths this course opens up for you

Economist

Apply your skills in this growing field

Financial Analyst

Apply your skills in this growing field

Market Research Analyst

Apply your skills in this growing field

Quantitative Analyst

Apply your skills in this growing field

Economic Consultant

Apply your skills in this growing field

Industry Applications

Real-world sectors where you can apply your knowledge

FinanceEconomicsConsultingMarket ResearchGovernment

Study Schedule Beta

A structured 13-week journey through the course content

Week
1

Module 1: Linear Algebraic Function

3h

Unit 1: Linear Algebra

3 study hours
  • • Read the introduction to Linear Algebra, focusing on the history and applications.
  • • Practice solving linear equations with one variable.
  • • Work through examples of exponential equations and their solutions.
Week
2

Module 1: Linear Algebraic Function

3h

Unit 2: Simultaneous Equation

3 study hours
  • • Study the elimination method for solving simultaneous equations.
  • • Practice solving simultaneous equations using the substitution method.
  • • Complete the self-assessment exercise to reinforce understanding.
Week
3

Module 1: Linear Algebraic Function

3h

Unit 3: Sequence and Series

3 study hours
  • • Understand the definitions of sequences and series.
  • • Learn to calculate arithmetic and geometric progressions.
  • • Practice finding the sum of arithmetic and geometric progressions.
Week
4

Module 2: Calculus I: Differentiation

3h

Unit 1: Differentiation

3 study hours
  • • Understand the concept of differentiation and its applications.
  • • Practice differentiation from first principles.
  • • Learn to differentiate constants and polynomials.
Week
5

Module 2: Calculus I: Differentiation

3h

Unit 2: Other Techniques of Differentiation: The Composite Function

3 study hours
  • • Study the composite function rule for differentiation.
  • • Learn and apply the product rule for differentiation.
  • • Understand and use the quotient rule for differentiation.
Week
6

Module 2: Calculus I: Differentiation

3h

Unit 3: Differentiation of Exponential Logarithmic and Trigonometric Functions

3 study hours
  • • Learn to differentiate exponential functions.
  • • Practice differentiating logarithmic functions.
  • • Understand and apply differentiation to trigonometric functions.
Week
7

Module 3: Calculus II: Integration

3h

Unit 1: Integration

3 study hours
  • • Understand the concept of integration as the reverse of differentiation.
  • • Learn to calculate indefinite integrals.
  • • Practice integrating constants and polynomials.
Week
8

Module 3: Calculus II: Integration

3h

Unit 2: Integration of Exponential and Trigonometric

3 study hours
  • • Learn to integrate exponential functions.
  • • Practice integrating trigonometric functions.
  • • Work through examples of definite integrals.
Week
9

Module 3: Calculus II: Integration

3h

Unit 3: Integration by Substitution and by Parts

3 study hours
  • • Understand the method of integration by substitution.
  • • Learn to apply integration by parts.
  • • Practice solving complex integrals using these techniques.
Week
10

Module 4: Differential Analysis

3h

Unit 1: Differential Equation

3 study hours
  • • Understand the concept of differential equations.
  • • Learn to solve first-order linear differential equations.
  • • Practice separation of variables in differential equations.
Week
11

Module 4: Differential Analysis

3h

Unit 2: Difference Equation

3 study hours
  • • Understand the concept of difference equations.
  • • Learn to apply the general formula for difference equations.
  • • Study the lagged income determination model and the Cobweb model.
Week
12

Module 4: Differential Analysis

3h

Unit 3: Optimization

3 study hours
  • • Understand the meaning and types of optimization problems.
  • • Learn to solve unconstrained optimization problems.
  • • Practice solving constrained optimization problems using Lagrange multipliers.
Week
13

Module 4: Differential Analysis

3h

Unit 4: Dynamics Analysis

3 study hours
  • • Understand the concept of dynamic economics.
  • • Learn the scope and importance of dynamic economics.
  • • Study dynamic equations and their applications.

This study schedule is in beta and may not be accurate. Please use it as a guide and consult the course outline for the most accurate information.

Course PDF Material

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Review all key definitions and theorems from each unit.

2

Practice solving a variety of problems from the self-assessment exercises and TMAs.

3

Create a formula sheet with all important equations and techniques.

4

Focus on understanding the economic applications of each mathematical concept.

5

Allocate sufficient time to practice integration and differentiation techniques.

6

Review past examination papers to familiarize yourself with the exam format.

7

Create concept maps linking Modules 1-2 algebraic and calculus foundations

8

Practice applying optimization techniques from Units 11-13 weekly

9

Ensure strong understanding of differential equations from Units 1-4