LEC # 1|| CH# ZERO BASIC CONCEPTS AND COMPLEX NUMBERS|| PROPERTIES AND POLAR FORM OF COMPLEX NUMBERS

Описание: TO WATCH ALL COURSES OF B.S MATHEMATICS 5TH SEMESTER CLICK THE LINK BELOW
   • B.S MATH || 5TH SEMSETER|| PUNJAB UNIVERSI...  
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TO WATCH COMPLETE PLAY LIST OF COMPLEX ANALYSIS-I B.S MATHEMATICS 5TH SEMESTER CLICK THE LINK BELOW
   • COMPLEX ANALYSIS-I || B.S MATHEMATICS 5TH ...  
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This course is specially designed for students of B.S MATHEMATICS 5th semester and students doing M.SC MATHEMATICS annually from Punjab university Lahore Pakistan.
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COURSE: COMPLEX ANALYSIS- I||PUNJAB UNIVERSITY|| 5TH SEMESTER|| CODE MATH-303
LEVEL: B.S MATHEMATICS
CHAPTER # ZERO BASIC CONCEPTS AND COMPLEX NUMBERS
LECTURE # 1 PROPERTIES OF COMPLEX NUMBERS AND THEIR POLAR FORM OF COMPLEX NUMBERS
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In this lecture I shall discuss following topics
Operation defined on complex numbers which are conjugate, modulus, multiplicative inverse, Principal and Standard arguments and polar form of complex numbers.
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For detailed concept of this lecture click the following link
   • ECAT||BOOK 1||CH: 1 NUMBER SYSTEM||JEE MAI...  
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FOLLOWING ARE THE CONTENTS OF COMPLEX ANALYSIS- I
1. Complex numbers, complex planes, complex functions
2. Analytic functions
3. Entire functions
4. Harmonic functions
5. Elementary functions: complex exponential, logarithmic and hyperbolic functions
6. Infinite Series
7. Power series, derived series, radius of convergence
8. Taylor series and Laurent series
9. Conformal Representation
10. Transformation, conformal transformation
11. Linear transformation
12. Möbius transformations
13. Complex Integration
14. Complex integrals
15. Cauchy-Goursat theorem
16. Cauchy’s integral formula and their consequences
17. Liouville’s theorem
18. Morera’s theorem
19. Derivative of an analytic function
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My lectures have equal importance for students of all universities of Pakistan, India, Bangladesh and all other countries where universities are offering this course.
Specially my lecture may be very helpful for students of following universities of Pakistan
(1) LAHORE UNIVERISTY (2) PUNJAB UNIVERISTY (3) SARGODHA UNIVERISTY (4) FAST UNIVERISTY (5) VIRTUAL UNIVERISTY (6) BZU(BHAU DIN ZIKRIYA) UNIVERISTY (7) G.C UNIVERISTY (8) F.C COLLEGE UNIVERSITY (9) U.E.T (10) GUJRAT UNIVERSITY (11) PISHAWAR UNIVERSITY (12) SINDH UNIVERSITY (13) COMSAT (14) LUMS UNIVERSITY
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THIS VIDEO MAY BE HELPFUL FOR PAKISTANIS, INDIAN, BANGLADESIAN AND ALL THE MATHEMATICS STUEDENTS OF THE WORLS WHO KNOWN URDU LANGUAGE WELL.
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