Section outline
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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
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Books Authors 1.Numerical Analysis Richard L. Burden & Douglas Faires 2.Introductory Methods of Numerical Analysis S.S Sastry -
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BLC Link Click here
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Click Here to watch the video tutorial for how to give quiz.
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Syllabus of 2nd Quiz :
1. Interpolation
2. Curve Fitting -
Syllabus of 3rd Quiz :
1. Numerical Differentiation
2. Numerical Integration
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*** Syllabus of Final Exam. :
1. System of Linear Equations.
2. Interpolation.
3. curve Fitting
4. Numerical Differentiation.
5. Numerical Integration.
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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.
a) Why they read this course?
When the students are starting a new course, they have some common questions like that,
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
- PowerPoint Slide on This Lecture, and
- Video Tutorial on This Topic.
- Q and A Forum
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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
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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
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Assignment of this Chapter for the sec 61_X
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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.
- PowerPoint Slide on This Lecture, and
- Video Tutorial on This Topic.
- Home Work
- Q and A Forum
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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
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Students mustMark as doneRecorded class Lecture on Linear (Curve Fitting )
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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
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Students mustMark as done
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Students mustMark as done
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Students mustMark as done
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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)
- Lecture Note (PDF),
- PowerPoint Slide on This Lecture, and
- Video Tutorial on This Topic.
- Home Work
- Q and A Forum
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Students mustMark as done
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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.
- Lecture Note (PDF),
- PowerPoint Slide on This Lecture, and
- Video Tutorial on This Topic.
- Home Work
- Q and A Forum
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