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JIM413/JIM322 - Differential Equations II
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LEARNING, TEACHING AND ASSESSMENT PLAN (LTAP)
LTAP JIM 322 / JIM 413 SA 2024-2025
ANNOUNCEMENT
Quiz (10%)
Quiz 1 (4%)
Quiz 2 (3%)
Assignment (20%)
JIM 322 / JIM 413 Assignment Questions
Submission of JIM 322 / JIM 413 Assignment
Peperiksaan Berterusan (PB) (20%)
WEBEX
Webex Slides (After Intensive Course)
Webex Slides (Before Intensive Course)
Webex Recordings (Before Intensive Course)
Webex - Examples - Solutions
Intensive Course Class
Intensive Course Slides (updated)
Intensive Course Recording
Peperiksaan Berterusan (PB)
Topic Introduction
Topic 1 Introduction (01:10)
Subtopic 1.1 (Ordinary Point and Singular Point)
Learning Material 1.1 (Ordinary Point and Singular Point)
Self-Learning Activity 1.1 (Ordinary Point and Singular Point)
Self-Assessment 1.1 (Ordinary Point and Singular Point)
Answer for Self-Assessment 1.1 (Ordinary Point and Singular Point)
Subtopic 1.2 (Power Series Solutions Near Ordinary Points)
Learning Material 1.2 (Power Series Solutions Near Ordinary Points)
Self-Learning Activity 1.2 (Power Series Solutions Near Ordinary Points)
Self-Assessment 1.2 (Power Series Solutions Near Ordinary Points)
Answer for Self-Assessment 1.2 (Power Series Solutions Near Ordinary Points)
Additional Self-Learning Activity
Quiz (basic concept)
Additional Learning Material
Additional Learning Material 1 (Classification of Differential Equations)
Additional Learning Material 2 (Introduction of Power Series)
Key Terms
Key Terms for Topic 1 (Power Series Method)
Subtopic 2.1 (Frobenius Series Solutions Near Regular Singular Points)
Learning Material 2.1 (Frobenius Series Solutions Near Regular Singular Points)
Self-Learning Activity 2.1 (Frobenius Series Solutions Near Regular Singular Points)
Self-Assessment 2.1 (Frobenius Series Solutions Near Regular Singular Points)
Answer for Self-Assessment 2.1 (Frobenius Series Solutions Near Regular Singular Points)
Subtopic 2.2 (The Exceptional Cases)
Learning Material 2.2 (The Exceptional Cases)
Self-Learning Activity 2.2 (The Exceptional Cases)
Self-Assessment 2.2 (The Exceptional Cases)
Answer for Self-Assessment 2.2 (The Exceptional Cases)
Additional Self-Learning Activity
Quiz (basic concept)
Key Terms
Key Terms for Topic 2 (Frobenius Series Solution)
Topic Introduction
Topic 3 Introduction (05:32)
Subtopic 3.1 (Sturm-Liouville Problems and Types of Boundary Conditions)
Learning Material 3.1 (Sturm-Liouville Problems and Types of Boundary Conditions)
Self-Learning Activity 3.1 (Sturm-Liouville Problems and Types of Boundary Conditions)
Self-Assessment 3.1 (Sturm-Liouville Problems and Types of Boundary Conditions)
Answer for Self-Assessment 3.1 (Sturm-Liouville Problems and Types of Boundary Conditions)
Subtopic 3.2 (Regular Sturm-Liouville Problems)
Learning Material 3.2 (Regular Sturm-Liouville Problems)
Self-Learning Activity 3.2 (Regular Sturm-Liouville Problems)
Self-Assessment 3.2 (Regular Sturm-Liouville Problems)
Answer for Self-Assessment 3.2 (Regular Sturm-Liouville Problems))
Subtopic 3.3 (Integrating Factor)
Learning Material 3.3 (Integrating Factor)
Self-Learning Activity 3.3 (Integrating Factor)
Self-Assessment 3.3 (Integrating Factor)
Answer for Self-Assessment 3.3 (Integrating Factor)
Key Terms
Key Terms for Topic 3 (Eigenvalues and Boundary Value Problems 1)
Self-Learning Activity (Quiz)
Subtopic 4.1 (Orthogonality and Orthonormal System)
Learning Material 4.1 (Orthogonality and Orthonormal System)
Self-Learning Activity 4.1 (Orthogonality and Orthonormal System)
Self-Assessment 4.1 (Orthogonality and Orthonormal System)
Answer for Self-Assessment 4.1 (Orthogonality and Orthonormal System)
Subtopic 4.2 (Eigenfunction Expansions)
Learning Material 4.2 (Eigenfunction Expansions)
Self-Learning Activity 4.2 (Eigenfunction Expansions)
Self-Assessment 4.2 (Eigenfunction Expansions)
Answer for Self-Assessment 4.2 (Eigenfunction Expansions)
Key Terms
Key Terms for Topic 4 (Eigenvalues and boundary value problems 2)
Subtopic 5.1 (Differential Equations and Mathematical Models)
Learning Material 5.1 (Differential Equations and Mathematical Models)
Self-Learning Activity 5.1 (Differential Equations and Mathematical Models)
Self-Assessment 5.1 (Differential Equations and Mathematical Models)
Answer for Self-Assessment 5.1 (Differential Equations and Mathematical Models)
Subtopics 5.2 (Equilibrium Solutions and Stability)
Learning Material 5.2 (Equilibrium Solutions and Stability)
Self-Learning Activity 5.2 (Equilibrium Solutions and Stability)
Self-Assessment 5.2 (Equilibrium Solutions and Stability)
Answer for Self-Assessment 5.2 (Equilibrium Solutions and Stability)
Key Terms
Key Terms for Topic 5 (First Order Ordinary Differential Equations)
Self-Learning Activity (Quiz)
Subtopic 6.1 (Stability of Critical Points of An Autonomous Linear System)
Learning Material 6.1 (Stability of Critical Points of An Autonomous Linear System)
Self-Learning Activity 6.1 (Stability of Critical Points of An Autonomous Linear System)
Self-Assessment 6.1 (Stability of Critical Points of An Autonomous Linear System)
Answer for Self-Assessment 6.1 (Stability of Critical Points of An Autonomous Linear System)
Subtopic 6.2 (Stability of Critical Points of An Autonomous Nonlinear System)
Learning Material 6.2 (Stability of Critical Points of An Autonomous Nonlinear System)
Self-Learning Activity 6.2 (Stability of Critical Points of An Autonomous Nonlinear System)
Self-Assessment 6.2 (Stability of Critical Points of An Autonomous Nonlinear System)
Answer for Self-Assessment 6.2 (Stability of Critical Points of An Autonomous Nonlinear System)
Key Terms
Key Terms for Topic 6 (Linear and Nonlinear Systems)
Self-Learning Activity (Quiz)
Subtopic 7.1 (Ecological Model: Predator-Prey Model)
Learning Material 7.1 (Ecological Model: Predator-Prey System)
Self-Learning Activity 7.1 (Ecological Model: Predator-Prey system)
Self-Assessment 7.1 (Ecological Model: Predator-Prey system)
Answer for Self-Assessment 7.1 (Ecological Model: Predator-Prey system)
Subtopic 7.2 (Ecological Model: Competition Model)
Learning Material 7.2 (Ecological Model: Competition System)
Self-Learning Activity 7.2 (Ecological Model: Competition System)
Self-Assessment 7.2 (Ecological Model: Competition System)
Answer for Self-Assessment 7.2 (Ecological Model: Competition System)
Key Terms
Key Terms for Topic 8 (Nonlinear Phenomena)
Self-Learning Activity (Quiz)
Topic Introduction
Topic 8 Introduction (03:46)
Subtopic 8.1 (Euler's Method)
Learning Material 8.1 (Euler's Method)
Self-Learning Activity 8.1 (Euler's Method)
Self-Assessment 8.1 (Euler's Method)
Answer for Self-Assessment 8.1 (Euler's Method)
Subtopic 8.2 (Heun's Method)
Learning Material 8.2 (Heun's Method)
Self-Learning Activity 8.2 (Heun's Method)
Self-Assessment 8.2 (Heun's Method)
Answer for Self-Assessment 8.2 (Heun's Method)
Subtopic 8.3 (Fourth-Order Runge-Kutta Method)
Learning Material 8.3 (Fourth-Order Runge-Kutta Method)
Self-Learning Activity 8.3 (Fourth-Order Runge-Kutta Method)
Self-Assessment 8.3 (Fourth-Order Runge-Kutta Method)
Answer for Self-Assessment 8.3 (Fourth-Order Runge-Kutta Method)
Summary
Summary of Topic 8
Key Terms
Key Terms for Topic 8 (Numerical Methods - Initial Value Problems - First Order ODE)
Self-Learning Activity (Quiz)
Subtopic 9.1 (First-Order Systems)
Subtopic 9.2 (Euler's Method)
Subtopic 9.3 (Improved Euler's Method)
Subtopic 9.4 (Fourth-Order Runge-Kutta Method)
Self-Learning Activity (Quiz)
Self Assessment
Introduction
Subtopic 10.1 (Shooting Method)
Subtopic 10.2 (Finite-Difference Method)
Self-Learning Activity (Quiz)
Self Assessment
Summary
SIM FEEDBACK
FORUM: Questions & Discussion
Forum
FAIL KURSUS (OBE)
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JIM413/JIM322 - Differential Equations II
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Course info
JIM413/JIM322 - Differential Equations II
Lecturer:
PROFESOR MADYA DR. LOK YIAN YIAN
Skill Level
:
Beginner
