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In recent years, fractional calculus has attracted many mathematicians and researchers in different fields: Mathematics, Physics, Astronomy, and Engineering. The concept of fractional calculus (FC) was introduced after 1695 as a simply academic generalization of integer derivative . FC generalizes the order of differentiation from positive integers to real numbers, or even to complex numbers.
Lecture-1 : Fractional-order derivative . YouTube Link
Lecture-2 : Fractional-order Derivative of a Constant . YouTube Link
Lecture-3 : Fractional-order derivative of exp(x), sin(x) , and cos(x) using Grunwald–Letnikov (GL) definition. YouTube Link
Lecture-4 : Fractional-order Total Variation (FOTV). Coming soon.
Mathematics is the solid foundation of Data Science and Machine Learning techniques. To become a data scientist from any discipline, one needs to understand some basic mathematics and statistics. I have divided them into three parts :
1) Calculus
2) Linear Algebra
3) Statistics and Probability
Calculus: (upcoming lectures)
Lecture 1 : Functions of a single variable, limit, continuity, differentiability,
Lecture : Sandwich/Squeeze Theorem with Healthy Breakfast. YouTube Link: https://youtu.be/CsXCnfCDcnU
Linear Algebra:
Lecture 1 :
Statistics and Probability : Statistics is the grammar of Data Science.
Lecture 1 :
Higher Studies in Mathematical Sciences :
Higher Studies in Mathematical Sciences :
There are many Bangladeshi students desire to pursue an MS or Ph.D. in Math, Statistics, or any computational Sciences in the USA and Canada. But for the lack of proper guidelines, it is difficult for them to get admission and fund. This video lecture is made for them. Though the slides are in English, the medium of the talk is in Bengali.
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