Contour Integration
Curriculum and historical examination lineage for Contour Integration under Unit 5 (Complex Integration) of Advanced Calculus and Complex Analysis (21MAB102T) at SRMIST.
Historical appearance distribution across SRMIST Formative Tests (CT1, CT2) and University End Semester examinations.
Factual marks weightage of questions asked on this topic in historical examinations.
Question templates that recur across multiple examination cycles with similar conceptual stems.
“32b. \text{Evaluate using Contour integration } \int_{0}^{2\pi} \frac{d\theta}{13 + 5 \sin \theta}”
“\text{Find the Laurent series expansion for } f(z) = \frac{1}{(z + 1)(z + 2)} \text{ over (i) } |z|...”
“Evaluate \int_0^{2\pi} \frac{d\theta}{2+\cos\theta} using contour integration.”
Representative historical questions extracted directly from SRMIST examination papers.
Evaluate \(\int \limits_0^{2\pi} \frac{d\theta}{13 + 5\sin \theta}\) using contour integration.
Evaluate \(\int_{0}^{2\pi} \frac{d\theta}{13 + 5\sin \theta}\) using contour integration.
Evaluate \int_0^{2\pi} \frac{d\theta}{2+\cos\theta} using contour integration.
Evaluate \(\int_{0}^{2\pi} \frac{d\theta}{13+5\sin \theta}\) using contour integration.
\text{Find the Laurent series expansion for } f(z) = \frac{1}{(z + 1)(z + 2)} \text{ over (i) } |z| < 1 \text{ (ii) } 1 < |z| < 2 \text{ (iii) } |z| > 2 --- OR --- 32b....
Examinations where questions for Contour Integration have appeared.
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