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federal-board-model-paper-maths-2024-30
#hssc2024 #modelpapermath #fbise
Federal Board Model Paper Math class 12 is solved
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Q.1: Part 1 to 3
https://youtu.be/6k4X_x_D45U
Q.1: Part 4 to 6
https://youtu.be/vPKOaPf9IAc
Q.1: Part 7 to 9
https://youtu.be/vBV9a5xQMyU
Q.1: Part 10 to 13
https://youtu.be/sI5dh4JRpZQ
Q.1: Part 14 to 17
https://youtu.be/Z7AOMJGKTsk
Q.1 Part 18 to 20
https://youtu.be/5LHd275eA3Y
Q. 2 part 1
https://youtu.be/fI2lwnVVn-g
Q. 2 part 2
https://youtu.be/N6PvPOyak48
Q. 2 part 3
https://youtu.be/5uEUTVirezM
Q. 2 part 4
https://youtu.be/RhRJjJ0HEjI
Q. 2 part 5
https://youtu.be/SPJEeDlY2bw
Q. 2 part 6
https://youtu.be/OozIkDwgWa4
...
https://www.youtube.com/watch?v=OozIkDwgWa4
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14. E
14.-exercise-6.1-vector-spaces-chapter-6
#bsmaths #punjabuniversity #mscmaths
Exercise 6.1 Question 3 Parts ii, iii, iv
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https://www.youtube.com/watch?v=urDHqXpYMAU
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177.
177.-taylor-series-chapter-5-series
#bsmaths #mscmaths #complexanalysis #series
Taylor and Maclaurin Series Stated and proved
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Course Contents:
The Concept of Analytic Functions
• Complex numbers, complex planes, complex functions
• Analytic functions
• Entire functions
• Harmonic functions
• Elementary functions: complex exponential, logarithmic and hyperbolic functions
Infinite Series
• Power series, derived series, radius of convergence
• Taylor series and Laurent series
Conformal Representation
• Transformation, conformal transformation
• Linear transformation
• Möbius transformations
Complex Integration
• Complex integrals
• Cauchy-Goursat theorem
• Cauchy’s integral formula and their consequences
• Liouville’s theorem
• Morera’s theorem
• Derivative of an analytic function
Recommended Books:
1. D. G. Zill and P. D. Shanahan, Complex Analysis, (Jones and Bartlett Publishers,
2003)
2. H. S. Kasana, Complex Variables: Theory and Applications, (Prentice Hall, 2005)
3. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 7th edition,
(McGraw Hill Company, 2004)
4. M. R. Spiegel, Complex Variables, (McGraw Hill Book Company, 1974)
5. Louis L. Pennisi, Elements of Complex Variables, (Holt, Linehart and Winston, 1976)
...
https://www.youtube.com/watch?v=Xk7SF-E9gXE
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24. Q
24.-q.-1,-2-exercise-7.2-inner-product
#bsmaths #punjabuniversity #mscmaths
Q. 1, 2 Exercise 7.2
...
https://www.youtube.com/watch?v=JbsLZ8ZtNAs
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FBISE
fbise-maths-xii-year-past-paper-2022-4
#oneminuteoneconcept #fpsc #ppsc #mathematicshelpline
Shorts on this topic
https://youtube.com/shorts/WCUIBHtrbSU
https://youtube.com/shorts/yAdYP6RMZKQ
https://youtube.com/shorts/6bBypSRJ--Y
https://youtube.com/shorts/Aang4N-w1ls
https://youtube.com/shorts/MmN5qxbx5hY
https://youtube.com/shorts/ZJGc3hZ65iM
...
https://www.youtube.com/watch?v=WCUIBHtrbSU
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federal-board-maths-xii-year-past-28
#mcqs #fbise #pastpapersolutions #mathematicshelpline
federal board maths xii year past paper 2022 (2nd annual) mcq. 1
https://youtube.com/shorts/IgfHDWPB4DU
federal board maths xii year past paper 2022 (2nd annual) mcq. 2
https://youtube.com/shorts/Nm1SB8fdaUo
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https://youtube.com/shorts/bcZm3xojQTg
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https://youtube.com/shorts/d5jWMw8gMYs
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https://youtube.com/shorts/-uASPtSFbfA
federal board maths xii year past paper 2022 (2nd annual) mcq. 9
https://youtube.com/shorts/mbcQmV1Clw4
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
federal board maths xii year past paper 2022 mcq. 20
https://youtube.com/shorts/cATss2Hmw3g
federal board maths xii year past paper 2022 mcq. 19
https://youtube.com/shorts/4PJB8NpooCg
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federal board maths xii year past paper 2022 mcq. 15
https://youtu.be/fAbdj1EriUI
federal board maths xii year past paper 2022 mcq. 14
https://youtu.be/8vrwswwTuyQ
federal board maths xii year past paper 2022 mcq. 13
https://youtu.be/9rM-yIa-a_4
federal board maths xii year past paper 2022 mcq. 12
https://youtu.be/_r6-Mzl7DU0
federal board maths xii year past paper 2022 mcq. 11
https://youtube.com/shorts/ncLLDbWmmQg
federal board maths xii year past paper 2022 mcq. 10
https://youtu.be/OumcldcXZqE
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https://youtu.be/Ecj5GlwRFm0
federal board maths xii year past paper 2022 mcq.8
https://youtube.com/shorts/fIi-oRMWNZo
federal board maths xii year past paper 2022 mcq.7
https://youtu.be/hxl_pt0uw74
federal board maths xii year past paper 2022 mcq.6
https://youtube.com/shorts/ybrltYqkGo0
federal board maths xii year past paper 2022 mcq.5
https://youtube.com/shorts/WCUIBHtrbSU
federal board maths xii year past paper 2022 mcq.4
https://youtube.com/shorts/yAdYP6RMZKQ
federal board maths xii year past paper 2022 mcq.3
https://youtube.com/shorts/6bBypSRJ--Y
federal board maths xii year past paper 2022 mcq.2
https://youtube.com/shorts/Aang4N-w1ls
federal board maths xii year past paper 2022 mcq.1
https://youtube.com/shorts/MmN5qxbx5hY
https://youtube.com/shorts/ZJGc3hZ65iM
...
https://www.youtube.com/watch?v=mbcQmV1Clw4
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183.
183.-taylor-series-chapter-5-series
#bsmaths #mscmaths #complexanalysis #series
Taylor and Maclaurin Series section 54 Exercises Q. 1 and 2
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Course Contents:
The Concept of Analytic Functions
• Complex numbers, complex planes, complex functions
• Analytic functions
• Entire functions
• Harmonic functions
• Elementary functions: complex exponential, logarithmic and hyperbolic functions
Infinite Series
• Power series, derived series, radius of convergence
• Taylor series and Laurent series
Conformal Representation
• Transformation, conformal transformation
• Linear transformation
• Möbius transformations
Complex Integration
• Complex integrals
• Cauchy-Goursat theorem
• Cauchy’s integral formula and their consequences
• Liouville’s theorem
• Morera’s theorem
• Derivative of an analytic function
Recommended Books:
1. D. G. Zill and P. D. Shanahan, Complex Analysis, (Jones and Bartlett Publishers,
2003)
2. H. S. Kasana, Complex Variables: Theory and Applications, (Prentice Hall, 2005)
3. J. W. Brown and R. V. Churchill, Complex Variables and Applications, 7th edition,
(McGraw Hill Company, 2004)
4. M. R. Spiegel, Complex Variables, (McGraw Hill Book Company, 1974)
5. Louis L. Pennisi, Elements of Complex Variables, (Holt, Linehart and Winston, 1976)
...
https://www.youtube.com/watch?v=ysn8e3sP0cI
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federal-board-past-paper-2022-(first-16
#mcqs #fbise #pastpapersolutions #mathematicshelpline #firstyearmaths
federal board past paper 2022 (First annual) class 11 maths mcq. 1
https://youtube.com/shorts/PH6LMni2sMI
%%%%%%%%%%%%%%%%%%First Annual - 2022 Class 12 %%%%%%%%%%%%%%%%
federal board maths xii year past paper 2022 mcq. 20
https://youtube.com/shorts/cATss2Hmw3g
federal board maths xii year past paper 2022 mcq. 19
https://youtube.com/shorts/4PJB8NpooCg
federal board maths xii year past paper 2022 mcq. 18
https://youtube.com/shorts/ubJ8kPS8vGA
federal board maths xii year past paper 2022 mcq. 17
https://youtube.com/shorts/qAE2DJwuPuI
federal board maths xii year past paper 2022 mcq. 16
https://youtube.com/shorts/DQkp01Kc6kM
federal board maths xii year past paper 2022 mcq. 15
https://youtu.be/fAbdj1EriUI
federal board maths xii year past paper 2022 mcq. 14
https://youtu.be/8vrwswwTuyQ
federal board maths xii year past paper 2022 mcq. 13
https://youtu.be/9rM-yIa-a_4
federal board maths xii year past paper 2022 mcq. 12
https://youtu.be/_r6-Mzl7DU0
federal board maths xii year past paper 2022 mcq. 11
https://youtube.com/shorts/ncLLDbWmmQg
federal board maths xii year past paper 2022 mcq. 10
https://youtu.be/OumcldcXZqE
federal board maths xii year past paper 2022 mcq. 9
https://youtu.be/Ecj5GlwRFm0
federal board maths xii year past paper 2022 mcq.8
https://youtube.com/shorts/fIi-oRMWNZo
federal board maths xii year past paper 2022 mcq.7
https://youtu.be/hxl_pt0uw74
federal board maths xii year past paper 2022 mcq.6
https://youtube.com/shorts/ybrltYqkGo0
federal board maths xii year past paper 2022 mcq.5
https://youtube.com/shorts/WCUIBHtrbSU
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https://youtube.com/shorts/yAdYP6RMZKQ
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https://youtube.com/shorts/6bBypSRJ--Y
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https://youtube.com/shorts/Aang4N-w1ls
federal board maths xii year past paper 2022 mcq.1
https://youtube.com/shorts/MmN5qxbx5hY
https://youtube.com/shorts/ZJGc3hZ65iM
...
https://www.youtube.com/watch?v=PH6LMni2sMI
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39. C
39.-calculus-by-s-m-yusuf-chapter-7
#bsmaths #mscmaths #calculus #planecurve2
chapter 7 plane curve-II Exercise 7.2 Q. 5
...
https://www.youtube.com/watch?v=rLu5DdFDUMg
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