MAT-101 : Fundamentals of Mathematics_Summation of Trigonometric Series-9, (Lec-21), Zahangir Alam
Course Name : Fundamentals of Mathematics (MAT-101)
Chapter : Summation of Trigonometric Series [Part-9]
For First Year B.Sc. (Hon’s), Mathematics Students
Lecture-21 : Date-17 Nov 2020 Time-12:00 PM
In the chapter, #Summation_of_Series of Fundamentals of Mathematics, students will learn various kinds of #series, the sum of which can be found by different methods. We shall consider generally three kinds of series (finite/infinite) which are :
(i) Algebraic series
(ii) Recurring series
(iii) Trigonometrical series.
To find the sum of various types of series we need the important known results which are shown in the first lecture of this chapter. Students also learn about #Arithmetic_Progression and #Geometric_Progression.
In the #algebraic_series we use #method_of_difference, #difference_table, sum of a series when the method of difference in a Geometric Progression. Also in the #recurring_series we use its scale of relation, #generating_function of a recurring series, general term of recurring series. Also in the #Trigonometrical_series we use method of difference A.P. sine and cosine series in angle, C + i S method.
Hope Students will be benefited to see the lectures on these topics.
#Zahangir_Sir-Mathematics Dhaka College.
YouTube Link on all classes :
-------------------------------------------------------------------------------
Lecture-21 Link (Fund_ Summation of Trigonometric Series-Part 9) :
https://youtu.be/OlqkGHT4Ncg
Lecture-20 Link (Fund_ Summation of Trigonometric Series-Part 8) :
https://youtu.be/x63TLnabA04
Lecture-19 Link (Fund_ Summation of Series-Part 7) :
https://youtu.be/0bq3tniDvEc
Lecture-18 Link (Fund_ Summation of Series-Part 6) :
https://youtu.be/Fqv0Dk-IHfw
Lecture-17 Link (Fund_ Summation of Series-Part 5) :
https://youtu.be/y2_Byr1fo_g
Lecture-16 Link (Fund_ Summation of Series-Part 4) :
https://youtu.be/f9HZvDLc9AI
Lecture-15 Link (Fund_ Summation of Series-Part 3) :
https://youtu.be/IGy6qkOrLb8
Lecture-14 Link (Fund_ Summation of Series-Part 2) :
https://youtu.be/hBTCHciCyh0
Lecture-13 Link (Fund_ Summation of Series-Part 1) :
https://youtu.be/YYUwKX7frVg
Lecture-12 Link (Fund_Theory of Equations-Part 7) :
https://youtu.be/_NshYRN5yTQ
Lecture-11 Link (Fund_Theory of Equations-Part 6) :
https://youtu.be/MZZ5rCQP80Y
Lecture-10 Link (Fund_Theory of Equations-Part 5) :
https://youtu.be/0cuzcT_hCnU
Lecture-09 Link (Fund_Theory of Equations-Part 4) :
https://youtu.be/VrUaKKCTIWE
Lecture-08 Link (Fund_Theory of Equations-Part 3) :
https://youtu.be/Q2zX_7CM1eQ
Lecture-07 Link (Fund_Theory of Equations-Part 2) :
https://youtu.be/n7BIRVJg9ug
Lecture-06 Link (Fund_Theory of Equations-Part 1) :
https://youtu.be/AVHnZP2QIuw
Lecture-05 Link (Fund_Elementary No. Theory-Part 5) :
https://youtu.be/TMgtTzLmpkk
Lecture-04 Link (Fund_Elementary No. Theory-Part 4) :
https://youtu.be/ATChIX96AZM
Lecture-03 Link (Fund_Elementary No. Theory-Part 3) :
https://youtu.be/_ll4YoBxDZM
Lecture-02 Link (Fund_Elementary No. Theory-Part 2) :
https://youtu.be/sVLCpYvuZbE
Lecture-01 Link (Fund_Elementary No. Theory-Part 1) :
https://youtu.be/CqTdG1G3tiw
Rafiq Md. Zahangir Alam
Assistant Professor
Department of Mathematics
Dhaka College, Dhaka
Видео MAT-101 : Fundamentals of Mathematics_Summation of Trigonometric Series-9, (Lec-21), Zahangir Alam канала Department of Mathematics, Dhaka College
Chapter : Summation of Trigonometric Series [Part-9]
For First Year B.Sc. (Hon’s), Mathematics Students
Lecture-21 : Date-17 Nov 2020 Time-12:00 PM
In the chapter, #Summation_of_Series of Fundamentals of Mathematics, students will learn various kinds of #series, the sum of which can be found by different methods. We shall consider generally three kinds of series (finite/infinite) which are :
(i) Algebraic series
(ii) Recurring series
(iii) Trigonometrical series.
To find the sum of various types of series we need the important known results which are shown in the first lecture of this chapter. Students also learn about #Arithmetic_Progression and #Geometric_Progression.
In the #algebraic_series we use #method_of_difference, #difference_table, sum of a series when the method of difference in a Geometric Progression. Also in the #recurring_series we use its scale of relation, #generating_function of a recurring series, general term of recurring series. Also in the #Trigonometrical_series we use method of difference A.P. sine and cosine series in angle, C + i S method.
Hope Students will be benefited to see the lectures on these topics.
#Zahangir_Sir-Mathematics Dhaka College.
YouTube Link on all classes :
-------------------------------------------------------------------------------
Lecture-21 Link (Fund_ Summation of Trigonometric Series-Part 9) :
https://youtu.be/OlqkGHT4Ncg
Lecture-20 Link (Fund_ Summation of Trigonometric Series-Part 8) :
https://youtu.be/x63TLnabA04
Lecture-19 Link (Fund_ Summation of Series-Part 7) :
https://youtu.be/0bq3tniDvEc
Lecture-18 Link (Fund_ Summation of Series-Part 6) :
https://youtu.be/Fqv0Dk-IHfw
Lecture-17 Link (Fund_ Summation of Series-Part 5) :
https://youtu.be/y2_Byr1fo_g
Lecture-16 Link (Fund_ Summation of Series-Part 4) :
https://youtu.be/f9HZvDLc9AI
Lecture-15 Link (Fund_ Summation of Series-Part 3) :
https://youtu.be/IGy6qkOrLb8
Lecture-14 Link (Fund_ Summation of Series-Part 2) :
https://youtu.be/hBTCHciCyh0
Lecture-13 Link (Fund_ Summation of Series-Part 1) :
https://youtu.be/YYUwKX7frVg
Lecture-12 Link (Fund_Theory of Equations-Part 7) :
https://youtu.be/_NshYRN5yTQ
Lecture-11 Link (Fund_Theory of Equations-Part 6) :
https://youtu.be/MZZ5rCQP80Y
Lecture-10 Link (Fund_Theory of Equations-Part 5) :
https://youtu.be/0cuzcT_hCnU
Lecture-09 Link (Fund_Theory of Equations-Part 4) :
https://youtu.be/VrUaKKCTIWE
Lecture-08 Link (Fund_Theory of Equations-Part 3) :
https://youtu.be/Q2zX_7CM1eQ
Lecture-07 Link (Fund_Theory of Equations-Part 2) :
https://youtu.be/n7BIRVJg9ug
Lecture-06 Link (Fund_Theory of Equations-Part 1) :
https://youtu.be/AVHnZP2QIuw
Lecture-05 Link (Fund_Elementary No. Theory-Part 5) :
https://youtu.be/TMgtTzLmpkk
Lecture-04 Link (Fund_Elementary No. Theory-Part 4) :
https://youtu.be/ATChIX96AZM
Lecture-03 Link (Fund_Elementary No. Theory-Part 3) :
https://youtu.be/_ll4YoBxDZM
Lecture-02 Link (Fund_Elementary No. Theory-Part 2) :
https://youtu.be/sVLCpYvuZbE
Lecture-01 Link (Fund_Elementary No. Theory-Part 1) :
https://youtu.be/CqTdG1G3tiw
Rafiq Md. Zahangir Alam
Assistant Professor
Department of Mathematics
Dhaka College, Dhaka
Видео MAT-101 : Fundamentals of Mathematics_Summation of Trigonometric Series-9, (Lec-21), Zahangir Alam канала Department of Mathematics, Dhaka College
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