Mathematical Methods & Modelling
Preface
Acknowledgements
Course Outline
Course Overview
Staff Members
A Blended Approach to Learning
Learning Management System
Timetable
Communication
Consultations
Course Background and Purpose
Course Content, Goals, and Outcomes
Chapter @ref(moddiff): An Introduction to Modelling and Differential Equations
Chapter @ref(differential): Differential Equations
Chapter @ref(contmod): Continuous Mathematical Models
Tentative Class Schedule
Block 3
Block 4
Assessment
Assessment Schedule
Calculation of the final mark
Textbooks and Recommended Reading
Prerequisites
1
An Introduction to Modelling and Differential Equations
1.1
Modelling
The Modelling Process
Mathematical Models
1.2
Differential Equations
Summary
2
Differential Equations
2.1
Differential Equations and Ordinary Differential Equations
2.2
Notation
2.3
Classification of an Ordinary Differential Equation
2.3.1
Classification by order
2.3.2
Classification by linearity
2.3.3
Classification by homogeneity
2.3.4
Classification by coefficients
Classification of Differential Equations: Examples
3
Continuous Mathematical Models
Tutorials
Tutorial 1: Review of Algebra and Calculus
References
Published with bookdown
Mathematical Methods and Modelling I
Mathematical Methods and Modelling I
APPM1026A/APPM1027A
Abdul Hamid Carrim
Semester 2, 2025
[Updated: 2025-08-01]