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MTH308Sciences3 Unitsintermediate

Introduction To Mathematical Modeling

This course, Introduction to Mathematical Modelling, teaches the translation of scientific, physical, and mechanical problems into mathematical formulations using parameters. It covers model building methodologies, identification, problem-solving, cause-effect diagrams, and various equation types including algebraic, ordinary differential, and functional equations. Students will learn to identify different types of modeling and convert real-world problems into mathematical representations.

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156h
Study Time
13
Weeks
12h
Per Week
intermediate
Math Level
Course Keywords
Mathematical ModelingFormulationProblem SolvingEquation TypesModel Building

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
Theoretical Focus

Course Topics

Key areas covered in this course

1

Methodology of Model Building

2

Identification and Formulation of Models

3

Solution of Problems

4

Cause-Effect Diagrams

5

Algebraic Equations

6

Ordinary Differential Equations

7

Partial Differential Equations

8

Difference Integral Equations

9

Functional Equations

Total Topics9 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 (2 methods)

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

Data Analyst

Apply your skills in this growing field

Financial Analyst

Apply your skills in this growing field

Operations Research Analyst

Apply your skills in this growing field

Statistician

Apply your skills in this growing field

Mathematical Modeler

Apply your skills in this growing field

Industry Applications

Real-world sectors where you can apply your knowledge

EngineeringFinanceEnvironmental ScienceEconomicsComputer Science

Study Schedule Beta

A structured 13-week journey through the course content

Week
1

Module 1:

6h

Unit 1: Methodology of the Model Building

3 study hours
  • •Define mathematical modeling and its importance.
  • •Identify different types of modeling.
  • •Convert real-life problems into mathematical formulations.
  • •Familiarize yourself with mathematical models of real situations.

Unit 2: Identification and Formulation of a Model

3 study hours
  • •Identify the essentials of a problem.
  • •Differentiate essential characteristics from non-essential ones.
  • •Formulate mathematical equations based on laws of nature or intuitive logic.
Week
2

Module 2:

6h

Unit 1: Solution of Problems, Course-Effect Diagrams, Equation Types, Algebraic, Ordinary Differential, Partial Differential, Difference Integral and Functional Equations

6 study hours
  • •Study the solution of problems.
  • •Understand course-effect diagrams.
  • •Familiarize yourself with equation types: algebraic, ordinary differential, partial differential, difference integral, and functional equations.
Week
3

Module 1:

6h

Unit 1: Methodology of the Model Building

6 study hours
  • •Review methodology of model building.
  • •Practice converting real-life problems into mathematical formulations.
Week
4

Module 1:

6h

Unit 2: Identification and Formulation of a Model

6 study hours
  • •Review identification and formulation of models.
  • •Practice identifying essential characteristics of problems.
Week
5

Module 2:

6h

Unit 1: Solution of Problems, Course-Effect Diagrams, Equation Types, Algebraic, Ordinary Differential, Partial Differential, Difference Integral and Functional Equations

6 study hours
  • •Review solution of problems and equation types.
  • •Work through examples of algebraic, ordinary differential, and partial differential equations.
Week
6

Module 1:

6h

Unit 1: Methodology of the Model Building

6 study hours
  • •Complete Tutor-Marked Assignment (TMA) 1.
  • •Focus on applying methodology of model building to new problems.
Week
7

Module 1:

6h

Unit 2: Identification and Formulation of a Model

6 study hours
  • •Complete Tutor-Marked Assignment (TMA) 2.
  • •Focus on identifying and formulating models for new scenarios.
Week
8

Module 2:

6h

Unit 1: Solution of Problems, Course-Effect Diagrams, Equation Types, Algebraic, Ordinary Differential, Partial Differential, Difference Integral and Functional Equations

6 study hours
  • •Complete Tutor-Marked Assignment (TMA) 3.
  • •Focus on solving problems using different equation types.
Week
9

Module 1:

12h

Unit 1: Methodology of the Model Building

6 study hours
  • •Review all units in Module 1.
  • •Focus on key concepts and problem-solving techniques.

Unit 2: Identification and Formulation of a Model

6 study hours
  • •Review all units in Module 1.
  • •Focus on key concepts and problem-solving techniques.
Week
10

Module 2:

6h

Unit 1: Solution of Problems, Course-Effect Diagrams, Equation Types, Algebraic, Ordinary Differential, Partial Differential, Difference Integral and Functional Equations

6 study hours
  • •Review all units in Module 2.
  • •Focus on key concepts and problem-solving techniques.
Week
11

Module 1:

6h

Unit 1: Methodology of the Model Building

6 study hours
  • •Practice solving problems related to mathematical modeling.
  • •Review examples from the course material.
Week
12

Module 1:

6h

Unit 2: Identification and Formulation of a Model

6 study hours
  • •Work on additional exercises and examples.
  • •Focus on areas where you need more practice.
Week
13

Module 2:

6h

Unit 1: Solution of Problems, Course-Effect Diagrams, Equation Types, Algebraic, Ordinary Differential, Partial Differential, Difference Integral and Functional Equations

6 study hours
  • •Final review of all course material.
  • •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 Tutor-Marked Assignments (TMAs) and understand the solutions.

2

Focus on understanding the different types of equations and their applications.

3

Practice converting real-world problems into mathematical formulations.

4

Create concept maps linking different modeling methodologies.

5

Allocate specific time slots for focused study and problem-solving.

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