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FMT313Sciences3 Unitsintermediate

Mathematical Modelling In Finance

This course introduces mathematical modeling in finance. It covers essential mathematical concepts such as differentiation, integration, linear programming, and their applications in financial analysis. Topics include simple and compound interests, ratio analysis, present values, annuities, and amortization. The course aims to equip students with the skills to apply mathematical tools in solving financial problems and making informed investment decisions.

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208h
Study Time
13
Weeks
16h
Per Week
intermediate
Math Level
Course Keywords
Mathematical ModelingFinanceDifferentiationIntegrationLinear Programming

Course Overview

Everything you need to know about this course

Course Difficulty

Intermediate Level
Builds on foundational knowledge
65%
intermediate
📊
Math Level
Moderate Math
🔬
Learning Type
Hands-on Practice

Course Topics

Key areas covered in this course

1

Financial Mathematics

2

Mathematical Modeling

3

Differentiation

4

Integration

5

Linear Programming

6

Financial Ratios

Total Topics6 topics

Ready to Start

No specific requirements needed

This course is designed to be accessible to all students. You can start immediately without any prior knowledge or specific preparation.

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

Financial Analyst

Apply your skills in this growing field

Investment Banker

Apply your skills in this growing field

Portfolio Manager

Apply your skills in this growing field

Management Consultant

Apply your skills in this growing field

Financial Planner

Apply your skills in this growing field

Industry Applications

Real-world sectors where you can apply your knowledge

BankingInvestment ManagementInsuranceReal EstateConsulting

Study Schedule Beta

A structured 13-week journey through the course content

Week
1

Module 1:

14h

Unit 1: Introduction to Financial Mathematics

7 study hours
  • •Review the definitions of finance and financial systems.
  • •Practice calculating financial ratios.
  • •Solve problems related to risk and return trade-offs.

Unit 2: Modelling in Finance and Mathematics

7 study hours
  • •Understand the concept and meaning of a model.
  • •Identify and differentiate between iconic, analogue, and hybrid models.
  • •Apply mathematical tools to express financial concepts.
Week
2

Module 2:

7h

Unit 1: Differentiation

7 study hours
  • •Understand the derivative of a function.
  • •Familiarize yourself with the rules of differentiation.
  • •Apply differentiation to business decision-making processes.
Week
3

Module 2:

7h

Unit 2: Integration

7 study hours
  • •Learn how to reverse differentiation to find the original function.
  • •Identify the rules of integration.
  • •Apply integration in business decision-making processes.
Week
4

Module 3:

7h

Unit 1: Simple and Compound Interests and Ratio Analysis

7 study hours
  • •Explain simple and compound interests.
  • •Understand how these interests are used in business decisions.
  • •Compute financial ratios and apply them in monitoring stock exchange transactions.
Week
5

Module 3:

7h

Unit 2: Present Values, Annuities and Amortization

7 study hours
  • •Understand the concepts of present values, annuities, and amortization.
  • •Determine whether to accept or reject a project based on these concepts.
  • •Appraise business progress and determine future investments.
Week
6

Module 4:

7h

Unit 1: Linear Programming and Applications

7 study hours
  • •Understand the meaning and types of linear programming.
  • •Identify the components of linear programming.
  • •Formulate linear programming problems.
  • •Determine the optimum activity mix for the highest return.
Week
7

Module 1:

14h

Unit 1: Introduction to Financial Mathematics

7 study hours
  • •Review Module 1 Units 1 and 2.
  • •Solve additional problems related to financial mathematics and modeling.

Unit 2: Modelling in Finance and Mathematics

7 study hours
  • •Review Module 1 Units 1 and 2.
  • •Solve additional problems related to financial mathematics and modeling.
Week
8

Module 2:

14h

Unit 1: Differentiation

7 study hours
  • •Review Module 2 Units 1 and 2.
  • •Practice differentiation and integration problems.

Unit 2: Integration

7 study hours
  • •Review Module 2 Units 1 and 2.
  • •Practice differentiation and integration problems.
Week
9

Module 3:

14h

Unit 1: Simple and Compound Interests and Ratio Analysis

7 study hours
  • •Review Module 3 Units 1 and 2.
  • •Solve problems related to simple and compound interests and ratio analysis.

Unit 2: Present Values, Annuities and Amortization

7 study hours
  • •Review Module 3 Units 1 and 2.
  • •Solve problems related to present values, annuities, and amortization.
Week
10

Module 4:

7h

Unit 1: Linear Programming and Applications

7 study hours
  • •Review Module 4 Unit 1.
  • •Practice formulating and solving linear programming problems.
Week
11

Module 1:

14h

Unit 1: Introduction to Financial Mathematics

14 study hours
  • •Work on assignments related to financial mathematics and modeling.
  • •Prepare for tutor-marked assignments.
Week
12

Module 2:

14h

Unit 1: Differentiation

14 study hours
  • •Work on assignments related to differentiation and integration.
  • •Prepare for tutor-marked assignments.
Week
13

Module 4:

14h

Unit 1: Linear Programming and Applications

14 study hours
  • •Work on assignments related to linear programming.
  • •Prepare for the final examination.

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

Read the complete course material as provided by NOUN.

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Study Tips & Exam Preparation

Expert tips to help you succeed in this course

1

Review all key definitions and formulas from each unit.

2

Practice solving numerical problems from the tutor-marked assignments.

3

Focus on understanding the applications of differentiation and integration in finance.

4

Create concept maps linking linear programming concepts to real-world scenarios.

5

Allocate sufficient time to practice financial ratio analysis and interpretation.

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