Topic outline

• Welcome To Numerical Methods
  

  Welcome To Numerical Methods

  
  

  

  
  

      

  
  

     

  Assistant Professor in Mathematics Computer Science and Engineering Faculty of Science and Information Technology (FSIT) Daffodil International University ,Birulia, Ashulia Dhaka, Bangladesh Mobile No: 01716788108                                                                    Email : protima.ged@diu.edu.bd For more information click below...... https://faculty.daffodilvarsity.edu.bd/profile/ged/protima.htm

  
  

  • Announcements Forum
  • Course Rationale File
  • Course Objectives File
  • Course Outcomes File

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  • Click here to see the detailed Course Outline or Lecture Delivery Plan File
  • Course syllabus File
  • Assessment Plan File
  • Reference Books

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    Books	Authors
    1.Numerical Analysis	Richard L. Burden & Douglas Faires
    2.Introductory Methods of Numerical Analysis	S.S Sastry

  • BLC Link	Click here

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  • Instruction / Guideline for the course File

    
    

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    Attendance	Online Class Routine	Course Materials
    Quiz 1	Introductory Class	Chapter 4
    Quiz2	Chapter1	Chapter 5
    Quiz3	Chapter 2	Chapter 6
    Assignment	Chapter 3	Chapter 7
    Presentation	Mid Term	Final
    	Improvement quiz	Discussion

    
    

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• Google Calendar for the Online Class & Counseling schedule
  

  Google Calendar for the Online Class & Counseling schedule

  
  

  • Online Class URL
  • Students Counseling:

    Please click Here to give your Counseling . 

• From Here You Can Complete Your All Quizzes
  

  From Here You Can Complete Your All Quizzes

  

  • 
    

    Click Here to watch the video tutorial for how to give quiz. 

    
    

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  • To Complete Your QUIZ Demo Just Click Here
• Quiz 2
  

  Quiz 2

  
  

  Syllabus of 2nd Quiz :

  1. Interpolation
  2. Curve Fitting 
• Quiz 3
  

  Quiz 3

  
  

  Syllabus of 3rd Quiz :

  1. Numerical Differentiation

  2. Numerical Integration
• Week 8 (Mid Term Exam)
  

  Week 8 (Mid Term Exam)

  
  

  • Guideline for Mid Term Fall 23 File

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  • 
    

         

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• Week 14 (Final Exam)
  

  Week 14 (Final Exam)

  
  

  • *** Syllabus of Final Exam. :

    1. System of Linear Equations.
    2. Interpolation.
    3. curve Fitting
    4. Numerical Differentiation.
    5. Numerical Integration.

    
    

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• This Section is For Submitting Your ASSIGNMENT and PRESENTATION
  

  This Section is For Submitting Your ASSIGNMENT and PRESENTATION

  

  • Assignment for the section of 61_X _Fall 23

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• This Section is For Submitting Your PRESENTATION
  

  This Section is For Submitting Your PRESENTATION

  
  

  • Presentation for the sec of 61_X_Fall 23 Assignment

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• Course Materials
  

  Course Materials

  
  

  ** The problem list of Numerical Methods :
• Week 1 (Lecture 1-2)
  

  Week 1 (Lecture 1-2)

  
  

  Topics of Discussion:

  • At the very beginning of each semester, it needs to introduce myself to the students. It's also important to get a clear understanding of the students' abilities, performance, strengths, and weaknesses at the very beginning of the semester. As a result, it's easy to reach the students. So a nice introductory class help to buildup connection between students and teacher which make easier to continue the whole course.
    When the students are starting a new course, they have some common questions like that,

    a) Why they read this course?
    b) Have any real-life application of this course?
    I think these are very important questions and we must do fulfill their demand.
    Hence, in my introductory class, I always try to buildup a clear understanding among the students and try to reach their emotion, their feelings, their strengths, and weaknesses. Clearly I try to show the necessity of this course and real-life application of this course.So, I think at the very beginning of the semester, a good introductory class helps to make my course easier than the other classes.

  Expected Learning Outcomes:

  Learners are able to : 
  

  •   Able to know the over view of this course
  • Application of this course in real life.
  • Course activity

  Resources of Learning:
  

  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Q and A Forum

  
  

  • PPT Lecture for this chapter File

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  • Video Lecture of this chapter URL

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  • External Link of this chapter URL

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  • Discussion (Question and Answer Forum )

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  • Self Learning & Students Feedback Forum

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  • Weekly Students Feedback Interactive Content

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• Week 2 (Lecture 3-4)
  

  Week 2 (Lecture 3-4)

  
  

  Topics of Discussion:

  • In this class, I will discuss the different types of numeric methods and what is the application and importance of methods in real life.

  Expected Learning Outcomes:

  Learners are able to :

  1.     To determine of Error, exact, relative, and percentage error.
  2.     To calculate of  the absolute, relative, and approximate error to the number of significant digits.
  3.     To determine of  error in numerical methods – round-off and truncation error.
  4.     To calculate about the difference between round-off and truncation error.
  Resources of Learning:
  

  •  Lecture Note (PDF), 
  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  
  

  • PDF Note for Error Analysis File

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  • PPT Lecture of Error Analysis File

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  • External Link 1 of this chapter URL
  • External Link 2 of this chapter URL
  • External Link 3 of this chapter URL
  • Self Learning & students Feedback Forum

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  • Discussion Forum

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  • Assignment of this Chapter

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  • Weekly Students Feedback Interactive Content

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  • Error Analysis URL

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  • Error Analysis (copy) URL

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• Week 3-4 (Lecture 5-8) ch2 & q1
  

  Week 3-4 (Lecture 5-8) ch2 & q1

  
  

  Topics of Discussion:

  • In this class, I will discuss the different types of numeric methods and what is the application and importance of methods in real life.

  Expected Learning Outcomes:

  • Learners are able to :How to solve the problem using the required Methods;
  • Find the Algorithm from these methods ;
  • Solve the optimization problems;

  Resources of Learning:

  •  Lecture Note (PDF), 
  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  • PDF file of this Chapter

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  • Lesson 1 

  • PPT of Bisection for this chapter File
  • External Link 1 (Bisection Method) of this chapter URL
  • Recorded Class Lecture URL

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  • External Link for this chap URL

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  • Lesson 2 

  • PPT of Fixed Iteration method for this chapter File
  • External Link 2 (Fixed point) of this chapter URL
  • Lesson 3 

  • PPT of Newton Raphson's method for this chapter File
  • External Link 3 (Newton Raphson's Method) of this chapter URL
  • Assignment of this Chapter for the sec 61_X

    Restricted Not available unless: You belong to Sec : 61_X
  • Discussion Forum

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  • Weekly Students Feedback Interactive Content

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• Week 5-6 (Lecture 9-12) Interpolation & Q2
  

  Week 5-6 (Lecture 9-12) Interpolation & Q2

  
  

  Topics of Discussion:

  • Interpolation is the process of deriving a simple function from a set of discrete data points so that the function passes through all the given data points (i.e. reproduces the data points exactly) and can be used to estimate data points in-between the given ones. It is necessary because in science and engineering we often need to deal with discrete experimental data. Interpolation is also used to simplify complicated functions by sampling data points and interpolating them using a simpler function. Polynomials are commonly used for interpolation because they are easier to evaluate, differentiate, and integrate - known as polynomial interpolation.

  Expected Learning Outcomes:

  Learners are able to :

  • construct a function which closely fits given n- points in the plane by using interpolation method
  • find the Lagrange polynomial passing through the given point.
  • To solve any problem by using the Forward and Backward method .
  • To calculate any problem by using the divided difference methods.

  Resources of Learning: Lecture Note (PDF), 

  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  • PDF of Interpolation File
  • Lesson 1 

  • PPT of Newton's Forward Interpolation File
  • External Link for this chap URL

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  • External Link 1 (Newton's Forward) of this chapter URL
  • Discussion Forum of Forward
  • Lesson 2 

  • PPT of Newton's Backward Interpolation File
  • External Link 2 (Newton's Backward) of this chapter URL
  • Discussion Forum of Backward

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  • Lesson 3 

  • PPT of Lagrange Interpolation File
  • Video Lecture of this chapter URL

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  • Video class on Lagrange URL

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  • External Link 3 (Lagrange's Interpolation) of this chapter URL
  • Discussion Forum of Lagrang's

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  • Lesson 4

  • PPT of Newton's Divided Difference Interpolation File
  • Newton's Divided Interpolation URL
  • External Link 4 (Newton's Divided Difference) of this chapter URL
  • Discussion Forum of Newton's Divided

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  • Students Feedback for 5 week Forum

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  • Students Feedback for 6 week Forum

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  • Fill in the blank Interactive Content

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  • Assignment for the sec of 61_X

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• Week 7 (Lecture 13-14)curve fitting
  

  Week 7 (Lecture 13-14)curve fitting

  
  

  Topics of Discussion:

  • Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data is required, or smoothing,in which a "smooth" function is constructed that approximately fits the data.

  Expected Learning Outcomes:

  Learners are able to :

  1.     Know about the linear, non linear and least square formula.

  2.    Explain the least square method

  3.   find the determined function using least square method.

  4.   To fit the curve and straight line 

  Resources of Learning:

  •  Lecture Note (PDF), 
  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  • PDF File of Curve Fitting
  • PPT for Linear of this Chapter File
  • PPT for Non - Linear Curve of this Chapter File
  • External Link 1 for Linear curve of this chapter URL
  • External Link 2 of this chapter URL
  • Assignment for the week 7

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  • Question and Answer Forum :

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  • Fill in the blank Interactive Content

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  • Recorded class Lecture on Linear (Curve Fitting )

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• Week 9 (Lecture 15-16) S.L.E
  

  Week 9 (Lecture 15-16) S.L.E

  
  

  Topics of Discussion:

  The aim of this chapter is to provide an overall introduction to the main numerical methods for solving equation systems (both linear and non-linear). Particular attention is given to placing the methods in context, with reference to a wide range of literature (books and software), thus allowing the reader to gain a deeper understanding of the subject. The methods specific to linear equation systems are distinguished from those developed for non-linear equations and equation systems, using the usual classification.
  

  Expected Learning Outcomes:

  Learners are able to : 

  After reading this chapter, you should be able to:

  1.     Know about the Linear Equation ,Non linear Equation , System of Linear Equations and Related formula.
  2.     To learn , how to solve the system of linear equations by using formula for numerical methods.
  3. To solve any problem by the method of Gauss Seidal and Gauss Jacobi.  

  Resources of Learning:

  •         Lecture Note (PDF), 
  •  PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  • PDF File of this Chapter
  • PPT of system of Linear Equations File
  • Video Lecture of this Chapter URL
  • External Link 1 (Gauss Seidal)of this Chapter URL
  • External Link 2 (Gauss Jacobi) of this Chapter URL
  • Question and Answer Forum :

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  • Discussion Forum

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  • Assignment on this chapter

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  • students Feedback Weekly Interactive Content

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• Week 10-11 (Lecture 17-20) Nu. Diff.
  

  Week 10-11 (Lecture 17-20) Nu. Diff.

  
  

  Topics of Discussion:

  • In this class, I will discuss the different types of numeric methods and what is the application and importance of methods in real life.

  Expected Learning Outcomes:

  Learners are able to :

  • explain the definitions of forward, backward, and center divided methods for numerical differentiation
  • find approximate values of the first derivative of continuous functions
  • reason about the accuracy of the numbers
  • find approximate values of the first derivative of discrete functions (given at discrete data points)

  Resources of Learning:
  

  •  Lecture Note (PDF), 
  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  • Video Lecture of this Chapter URL
  • PDF file of this course

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  • PPT of Numerical Differentiation File

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  • PPT of Backward Numerical Differentiation File
  • Video Lecture of this chapter URL
  • External Link for 1st & 2nd Deri URL

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  • Discussion for Ist & 2nd order deri. Forum

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  • Assignment on this chap.

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  • PPT of Runge Kutta for Numerical Differentiation File
  • External Link 3 for R-K Methods URL

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  • Discussion for R-K Method Forum

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  • Assignment on R-K Method

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  • PPT for Maxi. & Min. File

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  • External link 2 for Maxi & Min URL

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  • Discussion on Maxi & Min Forum

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  • students weekly feedback Interactive Content

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• Week 12 & 13 (Lecture 21-24) Inte & 3Q
  

  Week 12 & 13 (Lecture 21-24) Inte & 3Q

  
  

  
  

  Topics of Discussion:

  In this class, I will discuss the different types of numeric methods and what is the application and importance of methods in real life.

  
  

  Expected Learning Outcomes:

  Learners are able to :

  •  After reading this chapter, you should be able to:  
  •  Know about the Numerical Integration and related formula.
  • To solve any problem by using the chapter related formula.
  • To calculate any problem by using trapezoidal , simpson's one third and three eight rules.  

  Resources of Learning:
  

  •  Lecture Note (PDF), 
  • PowerPoint Slide on This Lecture, and
  • Video Tutorial on This Topic.
  • Home Work
  • Q and A Forum

  • PDF file of this chapter
  • Video Lecture of this Chapter URL

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  • PPT of General & Trapezoidal of this Chapter File
  • External Link on Trapezoidal Rule URL

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  • Assignment on Trapezoidal

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  • Discussion on Trapezoidal Forum

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  • PPT of Simpson's one third rule of this Chapter File
  • External Link for Simpson's 1/3 Rule URL

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  • Assign on simpson's 1/3 Assignment

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  • Discussion on Simpson's one third rule Forum

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  • PPT of Simpson's Three-Eight rule of this Chapter File
  • External Link on Simpson's 3/8 Rule URL

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  • Discussion on Simpson's 3/8 & weddle's Forum

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  • Fill in the Bank Interactive Content

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• Quiz for improving
  

  Quiz for improving
• Discussion of this Course & Students Feedback
  

  Discussion of this Course & Students Feedback

  
  

  • Discussion Forum for the section