Summary of MSG328 PENGENALAN PEMODELAN (INTRODUCTION TO MODELLING)

MSG328 PENGENALAN PEMODELAN (INTRODUCTION TO MODELLING)

MEMPERKENALKAN MODEL-MODEL MATEMATIK YANG RINGKAS SERTA KAEDAH-KAEDAH UNTUK MENGANALISIS STRUKTUR-STRUKTUR MATEMATIK YANG TERBENTUK.

Lecturer: DR. AMIRAH BINTI AZMI
Lecturer: PROFESOR MADYA DR. MOHD HAFIZ BIN MOHD

Skill Level: Beginner

Course Outline

CW marks

Announcements

MSG328 2023/2024 Sem 2: Course Outline &amp; Planning

PRE-RECORDED VIDEO

PRESENTATION SLIDES

LOG BOOK

TUTORIAL AND TEST 2 FINAL SOLUTIONS

25 March - 31 March

Ch 1A &amp; B (i-ii): Modelling Methodology &amp; Simple Growth Models (Exponential)

Ch 1B (iii): Simple Growth Models (Logistic)

1 April - 7 April

Lecture on Section 1B (iii): Population Growth Models - Logistic Equation

Lecture Notes Ch 1C: Graphical Solutions of Autonomous 1D ODE &amp; Numerical Simulations

Lecture on Section 1C (i): Graphical Solution of Autonomous 1D ODE &amp; Numerical Simulation

Lecture on Section 1C (ii): Graphical Solution of Autonomous 1D ODE - Application

Lecture Notes on Ch 2: Dynamical Systems in 1D ODE

Lecture on Section 2 A-B: Dynamical Systems in 1D ODE, Notations &amp; Equilibria

Lecture on Section 2 C-D: Introduction to Bifurcation Analysis - Transcritical Bifurcation

Lecture on Section 2E: Introduction to Bifurcation Analysis - Saddle-Node Bifurcation

MSG328 Group Project Description

MSG328 Group Project Log Book

MSG328 Group Project Topic/Paper Choice

8 April - 14 April

Lecture Notes on Section 2F &amp; 2G: Bifurcation Analysis of 1D ODE

Lecture on Section 2F (Part I): Bifurcation Analysis of 1D ODE - Logistic Equation with Constant Harvesting

Lecture on Section 2F (Part II): Bifurcation Analysis of 1D ODE - Saddle-Node Bifurcation

Lecture on Section 2G (Part I): Bifurcation Analysis of 1D ODE - Logistic Equation with Proportional Harvesting

Lecture on Section 2G (Part II): Bifurcation Analysis of 1D ODE - Pitchfork Bifurcation

Lecture Notes on Section 2H: Modelling Spruce Budworm Using 1D ODE

Lecture on Section 2H (Part I): Modelling Spruce Budworm Using 1D ODE

15 April - 21 April

MSG328 Group Project Topic Registration

Modelling Lab 1B (Part I): Logistic Growth with Constant Harvesting

Lab 1B (Part II): Explanation of Finding - Logistic Model with Constant Harvesting

Lecture on Section 2H (Part II): Graphical Analysis of a Spruce Budworm Model

Lecture Notes on Section 3.1: Introduction to Systems of Differential Equations

Lecture on Section 3.1: Introduction to Systems of Differential Equations

MSG328 Coursework 1 - Effort

22 April - 28 April

Lecture Notes on Section 3.2-3.4: Population Models

Lecture on Section 3.2: A Basic Competitive (Hunter) Model

Lecture on Section 3.3: A Basic Prey-Predator Model

Lecture on Section 3.4: A Rosenzweig-MacArthur (RM) Prey-Predator Model

Lecture on Section 3.4.1: Computation of Steady States and Its Stability Properties of RM Model

Lecture on Section 3.4.2 (i): Numerical Simulation of RM Model (Low K)

Lecture on Section 3.4.2 (ii): Numerical Simulation of RM Model (Moderate &amp; High K)

Lab 3: XPPAUT Code (preypred_RM.ode)

Lab 3: Numerical Bifurcation Analysis of RM Model

Lecture Notes on Section 3.4.3: One-Parameter Bifurcation Analysis of RM Model

Lecture on Section 3.4.3 (i): One-Parameter Bifurcation Analysis of RM Model (Transcritical Bifurcation)

Lecture on Section 3.4.3 (ii): One-Parameter Bifurcation Analysis of RM Model (Hopf Bifurcation)

Submission of MSG328 Group Coursework (Effort): Modelling with First Order Differential Equation (Population Growth Problem)

MSG 328 GROUP COURSEWORK: EFFORT (PEER REVIEW)

29 April - 5 May

Lecture Notes on Section 4.1-4.4: Epidemic Models (Epidemiology)

Lecture on Section 4.1: Introduction on Epidemic Models

Lecture on Section 4.2: Compartmental Systems and SI Model

Lecture on Section 4.3: Basic SIS Model

Lecture on Section 4.4 (i): Basic SIR Model and Constant Vaccination Strategy

Lecture on Section 4.4 (ii): Simulation of Basic SIR Model

Lecture Notes on Section 4.5: SIR Models Incorporating Demography

Lecture on Section 4.5: General Assumptions of Basic SIR Model

Lecture on Section 4.5.1: Theoretical Analysis of Basic SIR Model

Lecture on Section 4.5.2: Endemic Model of SIR with Demography

6 May - 12 May

Lecture Notes on Section 4.6: SIRV Model with Vaccination Strategies

Lecture on Section 4.6: SIRV Model with Vaccination Strategy

Lab 4: Hands-on Lab Manual for Bifurcation Analysis of Epidemiological Parameter

Lab 4: Bifurcation Analysis of Epidemiological Parameter Using Extended SIR System

WEEK 9 - 20 May - 26 May

LECTURE NOTE CHAPTER 5 - Modelling and Approximating Change (Part 1)

LECTURE NOTE CHAPTER 5 - Modelling and Approximating Change (Part 2)

SLOT AVAILABILTY

TUTORIAL CHAPTER 5 - MODELLING AND APPROXIMATING CHANGE

WEEK 10 - 27 May - 2 June

LECTURE NOTE CHAPTER 6 - Modelling Process, Proportionality, Geometric Similarity

VIDEO LECTURE CHAPTER 6 - Modelling Process, Proportionality, Geometric Similarity

TUTORIAL CHAPTER 6

Week 12 - 10 June - 16 June

MSG328 2023/2024 Sem 2: Course Outline & Planning

Ch 1A & B (i-ii): Modelling Methodology & Simple Growth Models (Exponential)

Lecture Notes Ch 1C: Graphical Solutions of Autonomous 1D ODE & Numerical Simulations

Lecture on Section 1C (i): Graphical Solution of Autonomous 1D ODE & Numerical Simulation

Lecture on Section 2 A-B: Dynamical Systems in 1D ODE, Notations & Equilibria

Lecture Notes on Section 2F & 2G: Bifurcation Analysis of 1D ODE

Lecture on Section 3.4.2 (ii): Numerical Simulation of RM Model (Moderate & High K)