LATEST NEW LINEAR ALGEBRA AND COMPLEX ANALYSIS [S3] KTU B TECH MODEL QUESTIONS |QUESTION PAPER PATTERN | IMPORTANT QUESTIONS FOR SECOND YEAR STUDENTS | QUESTION BANK


APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY 

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PART A
(Answer All Questions, 5 x 2 = 10 Marks)

1. Evaluate 
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2. Find an upper bound for the absolute value of the integral ∫ z^2 dz over the straight line segment from 0 to 1+i.

3. State Cauchy’s integral theorem and Cauchy’s integral formula. 

4. Write the Taylor series of the following functions.

(a) f(z)=e^z   

(b)f(z)=sinhz

5. Expand f(z)=e^3/z in a Laurent series valid for 
0 < |z| <infinite.

PART B 
(Answer Any Two Questions, 2 x 5 = 10 Marks) 

6. Evaluate the following
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