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JIM310/JIM216 - Introductory Numerical Methods
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LEARNING, TEACHING AND ASSESSMENT PLAN (LTAP)
LTAP JIM 216 / JIM 310 SA 2024-2025
ANNOUNCEMENT
Group Assignment (30%)
Group Assignment Instructions (PDF)
Assignment Solution Marking Scheme (PDF)
Self and Peer Evaluation Form (PDF)
Rubric for Leadership (Evaluate by Lecturer) (PDF)
Choose Assignment Group
Group Assignment 1
Choose Assignment 1 Question
Submit Assignment 1 Solution (by Group Leader only)
Group Assignment 2
Choose Assignment 2 Question
Submit Assignment 2 Solution (by Group Leader only)
Group Assignment 3
WEBEX
Webex Slides (After Intensive Course)
Webex Slides (Before Intensive Course)
Webex Recordings (Before Intensive Course)
Intensive Course Class
Intensive Course Slides
Solutions to Examples in Intensive Course
Intensive Course Recording
Subtopic 1.1 (Exact and Approximate Solutions)
Learning Material 1.1 (Exact and Approximate Solutions)
Self-Learning Activity 1.1 (Exact and Approximate Solutions)
Self-Assessment 1.1 (Exact and Approximate Solutions)
Subtopic 1.2 (Errors)
Learning Material 1.2 (Errors)
Self-Learning Activity 1.2 (Errors)
Self-Assessment 1.2 (Errors)
Answer for Self-Assessment 1.2 (Errors)
Subtopic 1.3 (Arithmetic in Numerical Methods)
Learning Material 1.3 (Arithmetic in Numerical Methods)
Self-Learning Activity 1.3 (Arithmetic in Numerical Methods)
Self-Assessment 1.3 (Arithmetic in Numerical Methods)
Answer for Self-Assessment 1.3 (Arithmetic in Numerical Methods)
Subtopic 1.4 (Error Propagation)
Learning Material 1.4 (Error Propagation)
Self-Learning Activity 1.4 (Error Propagation)
Self-Assessment 1.4 (Error Propagation)
Answer for Self-Assessment 1.4 (Error Propagation)
Additional Self-Learning Activity
Quiz (basic concept)
Key Terms
Glossary for Topic 1 (Errors and Arithmetic)
Subtopic 2.1 (Graphical Method)
Learning Material 2.1 (Graphical Method)
Self-Assessment 2.1 (Graphical Method)
Answer for Self-Assessment 2.1 (Graphical Method)
Subtopic 2.2 (Bisection Method)
Learning Material 2.2 (Bisection Method)
Self-Learning Activity 2.2B (Bisection Method)
Self-Assessment 2.2 (Bisection Method)
Answer for Self-Assessment 2.2 (Bisection Method)
Subtopics 2.3 (Incremental Search Method)
Learning Material 2.3 (Incremental Search Method)
Self-Learning Activity 2.3 (Incremental Search Method)
Self-Assessment 2.3 (Incremental Search Method)
Answer for Self-Assessment 2.3 (Incremental Search Method)
Subtopics 2.4 (False-Position Method)
Learning Material 2.4 (False-Position Method)
Self-Learning Activity 2.4 (False-Position Method)
Self-Assessment 2.4 (False-Position Method)
Answer for Self-Assessment 2.4 (False-Position Method)
Key Terms
Key Terms for Topic 2 (Solutions of Nonlinear Equations - Bracketing Methods)
Subtopic 3.1 (Fixed-point Iteration Method)
Learning Material 3.1 (Fixed-Point Iteration Method)
Self-Learning Activity 3.1 (Fixed-Point Iteration Method)
Self-Assessment 3.1 (Fixed-Point Iteration Method)
Answer for Self-Assessment 3.1 (Fixed-Point Iteration Method)
Subtopic 3.2 (Newton-Raphson Method)
Learning Material 3.2 (Newton-Raphson Method)
Self-Learning Activity 3.2 (Newton-Raphson Method)
Self-Assessment 3.2 (Newton-Raphson Method)
Answer for Self-Assessment 3.2 (Newton-Raphson Method)
Subtopic 3.3 (Secant Method)
Learning Material 3.3 (Secant Method)
Self-Learning Activity 3.3 (Secant Method)
Self-Assessment 3.3 (Secant Method)
Answer for Self-Assessment 3.3 (Secant Method)
Subtopic 3.4 (Summary of Bracketing Methods and Open Methods
Learning Material 3.4 (Summary of Bracketing Methods and Open Methods)
Self-Learning Activity 3.4 (Summary of Bracketing Methods and Open Methods)
Self-Assessment 3.4 (Summary of Bracketing Methods and Open Methods)
Key Terms
Key Terms for Topic 3 (Solutions of Nonlinear Equations - Open Methods)
Subtopic 4.1 (LU Factorization)
Learning Material 4.1 (LU Factorization)
Self-Learning Activity 4.1 (LU Factorization)
Self-Assessment 4.1 (LU Factorization)
Answer for Self-Assessment 4.1 (LU Factorization)
Subtopic 4.2 (Strictly Diagonally Dominant)
Learning Material 4.2 (Strictly Diagonally Dominant)
Self-Learning Activity 4.2 (Strictly Diagonally Dominant)
Self-Assessment 4.2 (Strictly Diagonally Dominant)
Answer for Self-Assessment 4.2 (Strictly Diagonally Dominant)
Subtopic 4.3 (Jacobi Iterative Method)
Learning Material 4.3 (Jacobi Iterative Method)
Self-Learning Activity 4.3 (Jacobi Iterative Method)
Self-Assessment 4.3 (Jacobi Iterative Method)
Answer for Self-Assessment 4.3 (Jacobi Iterative Method)
Subtopic 4.4 (Gauss-Seidel Iterative Method)
Learning Material 4.4 (Gauss-Seidel Iterative Method)
Self-Learning Activity 4.4 (Gauss-Seidel iterative Method)
Self-Assessment 4.4 (Gauss-Seidel Iterative Method)
Answer for Self-Assessment 4.4 (Gauss-Seidel Iterative Method)
Key Terms
Key Terms for Topic 4 (Solutions of Systems of Linear Equations)
Self-Learning Activity (Quiz)
Subtopic 5.1 (Newton's Method)
Learning Material 5.1 (Newton's Method)
Self-Learning Activity 5.1 (Newton's Method)
Self-Assessment 5.1 (Newton's Method)
Solution for Self-Assessment 5.1 (Newton's Method)
Subtopic 5.2 (Fixed-Point Iteration Method)
Learning Material 5.2 (Fixed-Point Iteration Method)
Self-Learning Activity 5.2 (Fixed-Point Iteration Method)
Self-Assessment 5.2 (Fixed-Point Iteration Method)
Solution for Self-Assessment 5.2 (Fixed-Point Iteration Method)
Key Terms
Key Terms for Topic 5 (Solutions of Nonlinear System of Equations)
Self-Learning Activity (Quiz)
Subtopic 6.1 (Lagrange Interpolating Polynomial)
Learning Material 6.1 (Lagrange Interpolating Polynomial)
Self-Learning Activity 6.1 (Lagrange Interpolating Polynomial)
Self-Assessment 6.1 (Lagrange Interpolating Polynomial)
Anwser for Self-Assessment 6.1 (Lagrange Interpolating Polynomial)
Subtopic 6.2 (Newton's Divided Difference)
Learning Material 6.2 (Newton's Divided Difference)
Self-Learning Activity 6.2 (Newton's Divided Difference)
Self-Assessment 6.2 (Newton's Divided Difference)
Answer for Self-Assessment 6.2 (Newton's Divided Difference)
Subtopic 6.3 (Newton-Gregory Method)
Learning Material 6.3 (Newton-Gregory Method)
Self-Learning Activity 6.3 (Newton-Gregory Method)
Self-Assessment 6.3 (Newton-Gregory Method)
Answer for Self-Assessment 6.3 (Newton-Gregory Method)
Subtopic 6.4 (Spline Interpolation)
Learning Material 6.4 (Spline Interpolation)
Self-Learning Activity 6.4 (Spline Interpolation)
Self-Assessment 6.4 (Spline Interpolation)
Answer for Self-Assessment 6.4 (Spline Interpolation)
Key Terms
Key Terms for Topic 6 (Interpolating Polynomial)
Self-Learning Activity (Quiz)
Subtopic 7.1 (Numerical Differentiation for the First Derivative)
Learning Material 7.1 (Numerical Differentiation for the First Derivative)
Self-Learning Activity 7.1 (Numerical Differentiation for the First Derivative)
Self-Assessment 7.1 (Numerical Differentiation for the First Derivative)
Answer for Self-Assessment 7.1 (Numerical Differentiation for the First Derivative)
Subtopics 7.2 (Numerical Differentiation for the Second Derivative)
Learning Material 7.2 (Numerical Differentiation for the Second Derivative)
Self-Learning Activity 7.2 (Numerical Differentiation for the Second Derivative)
Self-Assessment 7.2 (Numerical Differentiation for the Second Derivative)
Answer for Self-Assessment 7.2 (Numerical Differentiation for the Second Derivative)
Subtopic 7.3 (Richardson's Extrapolation)
Learning Material 7.3 (Richardson's Extrapolation)
Self-Learning Activity 7.3 (Richardson's Extrapolation)
Self-Assessment 7.3 (Richardson's Extrapolation)
Answer for Self-Assessment 7.3 (Richardson's Extrapolation)
Key Terms
Key Terms for Topic 7 (Numerical Differentiation)
Self-Learning Activity (Quiz)
Subtopics 8.1 (Midpoint Rule)
Learning Material 8.1 (Midpoint Rule)
Self-Learning Activity 8.1 (Midpoint Rule)
Self-Assessment 8.1 (Midpoint Rule)
Answer for Self-Assessment 8.1 (Midpoint Rule)
Subtopics 8.2 (Trapezoidal Rule)
Learning Material 8.2 (Trapezoidal Rule)
Self-Learning Activity 8.2 (Trapezoidal Rule)
Self-Assessment 8.2 (Trapezoidal Rule)
Answer for Self-Assessment 8.2 (Trapezoidal Rule)
Subtopics 8.3 (Simpson's Rule)
Learning Material 8.3 (Simpson's Rule)
Self-Learning Activity 8.3 (Simpson's Rule)
Self-Assessment 8.3 (Simpson's Rule)
Answer for Self-Assessment 8.3 (Simpson's Rule)
Subtopic 8.4 (Composite Numerical Integration)
Learning Material 8.4 (Composite Numerical Integration)
Self-Learning Activity 8.4 (Composite Numerical Integration)
Self-Assessment 8.4 (Composite Numerical Integration)
Answer for Self-Assessment 8.4 (Composite Numerical Integration)
Key Terms
Key Terms for Topic 8 (Numerical Integration)
Self-Learning Activity (Quiz)
Subtopic 9.1 (Romberg Integration)
Learning Material 9.1 (Romberg Integration)
Self-Learning Activity 9.1 (Romberg Integration)
Self-Assessment 9.1 (Romberg Integration)
Answer for Self-Assessment 9.1 (Romberg Integration)
Subtopic 9.2 (Gaussian Quadrature)
Learning Material 9.2 (Gaussian Quadrature)
Self-Learning Activity 9.2 (Gaussian Quadrature)
Self-Assessment 9.2 (Gaussian Quadrature)
Answer for Self-Assessment 9.2 (Gaussian Quadrature)
Key Terms
Key Terms for Topic 9 (Numerical Integration 2)
Self-Learning Activity (Quiz)
Topic 10.1 (Eigenvalues and Gersgorin Circle)
Subtopic 10.2 (Power Method for the Largest Eigenvalues)
Subtopic 10.3 (Modification of Power Method for the Smallest Eigenvalue)
Self-Learning Activity (Quiz)
Self Assessment
SIM FEEDBACK
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Summary
JIM310/JIM216 - Introductory Numerical Methods
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Course info
JIM310/JIM216 - Introductory Numerical Methods
Lecturer:
PROFESOR MADYA DR. LOK YIAN YIAN
Skill Level
:
Beginner
