Complex Analysis-I
71 videos • 72,142 views • by Maham Mathematician
1
Exercise#1.2||Q#(17-26)||Find which complex number satisfy the equation||With explanation Part 05
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2
Exercise#1.2||Q#(15-16)||Find which complex number is closest to the origin||Complex-I Part 04
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3
Exercise#1.2||Q#(31-32)||Find which complex number satisfy the equation||Complex Analysis Part 07
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4
Exercise#1.2||Q#(27-30)||using inequality of modulus of complex number||upper& lower bound Part 06
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5
Exercise#1.2||Q#(5-7)||Find a vector z in the same direction|| Determine right triangle Part 02
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6
Exercise#1.2||Q#(8-14)||Find median & modulus of C||Express quantity in term of x & y Part 03
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7
Exercise#1.2||Q#(1-4)||Graphically plotting of complex number||Complex Analysis Part 01
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8
Polar form of Complex number||Argument||Principal Argument||using logical explanation Part 01
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9
Exercise#1.3||Q#(15-20)||Convert polar form of C into a+ib||Multiplication & Division of C Part 05
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10
Exercise#1.3||Q#(2-4)||Polar form of complex number||Argument||Principal Argument Part 10
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11
Exercise#1.3||Q#(11-14)||Use calculator to write the polar form of C||Principal argument Part 12
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12
Exercise#1.3||Q#1||Polar form of complex number||Argument and principal argument Part 09
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13
Exercise#1.3||Q#(7-10)||Polar form of complex numbers||Argument and principal argument Part 11
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14
Exercise#1.3||Q#(21)||Multiplication of complex number into polar form||Complex Analysis Part 01
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15
Exercise#1.3||Q#(21-22)||Multiplication of complex number into polar form||Complex Analysis Part 02
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16
Exercise#1.3||Q#(23-24)||Division of complex number into polar form||Complex Analysis Part 03
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17
Exercise#1.3||Q#(25-30)||Power rule for complex number||Complex Analysis Part 04
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18
Exercise#1.3||Q#(31-32)||Write C into polar and a+ib form||Complex Analysis Part 05
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19
Exercise#1.3||Q#(33-37)||Use De Movire formula for find indentity||Complex Analysis Part 06
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20
Exercise#1.4||Q#(1)||Powers and roots of complex number||Complex Analysis Part 01
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21
Exercise#1.4||Q#1 Part#2||Powers and roots of complex number||Complex Analysis Part 02
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22
Exercise#1.4||Q#(2-7)||Powers and roots of complex number||Complex Analysis Part 03
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23
Exercise#1.4||Q#(7)||Powers and roots of complex number||Complex Analysis Part 04
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24
Exercise#1.4||Q#(8-13)||Powers and roots of Quotient of C||Complex Analysis Part 05
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25
Exercise#1.4||Q#(13-14)||Powers and roots of Quotient of C||Complex Analysis Part 06
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26
Topic#1.5||Definition||Circle,,Disk & Open set||Complex Analysis Part 01
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27
Topic#1.5||Definition||Closed set,,Annulus & connected||Complex Analysis Part 02
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28
Topic#1.5||Definition||Domain & Region||Complex Analysis Part 03
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29
Exercise#1.5||Q#(13-16)||Calculate Domain,region,boundary & open set ||Complex Analysis Part 04
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30
Exercise#1.5||Q#(16-17)||Calculate Domain,region,boundary & open set ||Complex Analysis Part 05
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31
Exercise#1.5||Q#(18-24)||Calculate Domain,region,boundary & open set ||Complex Analysis Part 05
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32
Exercise#2.1||Q#(1-2)||Calculate real and imaginary part of given f(z)||Complex Analysis Part 01
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33
Exercise#2.1||Q#(3-5)||Calculate real and imaginary part of given f(z)||Complex Analysis Part 02
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34
Exercise#2.1||Q#(6-8)||Calculate real and imaginary part of given f(z)||Complex Analysis Part 03
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35
Exercise#2.1||Q#(9-22)||Calculate real and imaginary part of given f(z)||Complex Analysis Part 04
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36
Exercise#2.1||Q#(23-26)||Calculate the natural domain of given f(z)||Complex Analysis Part 05
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37
Exercise#2.2||Q#(1)||Find the image of the set under given conditions||Complex Analysis Part 01
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38
Exercise#2.2||Q#(2-8)||Find the image of the set under given conditions||Complex Analysis Part 02
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39
Exercise#2.2||Q#(9-14)||Find the image of the set under w=z square||Complex Analysis Part 03
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40
Exercise#2.2||Q#(15-20)||Plot Z(t),,Find F(Z(t)) & plot it ||Complex Analysis Part 04
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41
Exercise#2.2||Q#(21-25)||Find mapping under simple function||Complex Analysis Part 05
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42
Exercise#3.1||Q#(1)||Calculate limit by equating real and imaginary part||Complex Analysis Part 01
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43
Exercise#3.1||Q#(2-8)||Calculate limit by equating real and imaginary part||Complex Analysis Part 02
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44
Exercise#3.1||Q#(9-12)||Calculate limit by using direct limit ||Complex Analysis Part 03
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45
Exercise#3.1||Q#(13-16)||Calculate limit by using direct limit||Complex Analysis Part 04
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46
Exercise#3.1||Q#(17-19)||Calculate limit according to the given conditions||complex analysis Part 01
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47
Exercise#3.1||Q#(19(c)-20)||calculate limit according to the conditions||complex analysis Part 02
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48
Exercise#3.1||Q#(21-24)||Calculate limit and Continuity||Complex Analysis Part 03
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49
Exercise#3.1||Q#(25-34)||Calculate limit according to the given conditions||Complex Analysis Part 04
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50
Exercise#3.2||Q#(1-6)||Find f'(z) Using the definition of Derivative||Complex Analysis Part 01
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51
Exercise#3.2||Q#(7-10)||Find f'(z) Using Alternative definition of Derivative||Complex-I Part 02
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52
Exercise#3.2||Q#(11-20)||Find f'(z) Using the rule's of Derivative||Complex Analysis Part 03
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53
Exercise#3.2||Q#(21-30)||Check where function is not differentiable and non analytic ||Part 04
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54
Exercise#3.3||Q#(1-2)||Show Cauchy's equations satisfied at every point||CR-Equations Part 01
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55
Exercise#3.3||Q#(3-12)||Check where the function is analytic or not & calculate derivative|| Part 02
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56
Exercise#3.3||Q#(13-20)||Check where the function is not analytic in polar & find constants||Part 03
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57
Exercise#3.4||Q#(1)||Check Harmonic function and Harmonic conjugate||CR-Equations Part 01
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58
Exercise#3.4||Q#(2-3)||Check Harmonic function and Harmonic conjugate||CR-Equations Part 02
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59
Exercise#3.4||Q#(4-10)||Check Harmonic function and Harmonic conjugate||CR-Equations Part 03
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60
Exercise#3.4||Q#(11-13)||Calculate Harmonic function and Harmonic conjugate||Complex-I Part 01
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61
Exercise#3.4+5.1||Q#(13(c)||Calculate Definite integral Q(1-5) ||Complex Analysis Part 02
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62
Exercise#5.1||Q#(6-10)||Calculate Definite integral||Complex Analysis Part 03
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63
Exercise#5.1||Q#(11-14)||Evaluate the line integrals G(x,y)dx,G(x,y)dy & G(x,y)ds||Complex-I Part 01
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64
Exercise#5.1||Q#(15-20)||Evaluate the line integrals on the given curve||Complex Analysis Part 02
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65
Exercise#5.1||Q#(21-26)||Evaluate the line integrals on different paths ||Complex Analysis Part 03
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66
Exercise#5.1||Q#(27-30)||Evaluate the line integrals on the different paths||Complex-I Part 04
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67
Exercise#5.2||Q#(1-4)||Complex Integrals||Evaluation of contour integral||Complex Analysis Part 01
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68
Exercise#5.2||Q#(5-7)||Complex Integrals||Evaluation of contour integral||Complex Analysis Part 02
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69
Exercise#5.2||Q#(8)||Complex Integrals||Evaluation of contour integral||Complex Analysis Part 03
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70
Exercise#5.2||Q#(9-11)||Complex Integrals||Evaluation of contour integral||Complex Analysis Part 04
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71
Exercise#5.2||Q#(12-16)||Complex Integrals||Evaluation of contour integral||Complex Analysis Part 05
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