Gauss Divergence Theorem
Curriculum and historical examination lineage for Gauss Divergence Theorem under Unit 2 (Vector Calculus) 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.
“Verify divergence theorem for \(\vec{F} = (x^2 - yz)\vec{i} + (y^2 - zx)\vec{j} + (z^2 -...”
“29b. \text{Verify Gauss divergence theorem for } \vec{F} = x^2\vec{i} + y^2\vec{j} + z^2\vec{k}...”
“\text{Show that the vector } \vec{F} = (6xy + z^3)\vec{i} + (3x^2 - z)\vec{j} + (3xz^2 - y)\vec{k}...”
Representative historical questions extracted directly from SRMIST examination papers.
Verify divergence theorem for \(\vec{F} = (x^2 - yz)\vec{i} + (y^2 - zx)\vec{j} + (z^2 - xy)\vec{k}\) taken over the rectangular parallelopiped \(0 \le x \le a; 0 \le y \le b; 0...
Verify Gauss divergence theorem for \(\vec{F} = (x^2 - yz)\vec{i} + (y^2 - zx)\vec{j} + (z^2 - xy)\vec{k}\) taken over the rectangular parallelopiped enclosed by \(x = 0, x = a, y...
Verify Gauss divergence theorem for \vec{F} = 4xz\vec{i} - y^2\vec{j} + yz\vec{k} over the cube bounded by x=0, x=1, y=0, y=1, z=0, z=1.
Verify Gauss divergence theorem for \(\vec{F} = (x^2 - y^2)\vec{i} + (y^2 - 2x)\vec{j} + (z^2 - xy)\vec{k}\) taken over the rectangular parallelopiped enclosed by \(x = 0, x = a,...
Verify divergence theorem for \(\vec{F} = (x^2-yz)\vec{i} + (y^2-zx)\vec{j} + (z^2-xy)\vec{k}\) taken over the rectangular parallelopiped \(0 \le x \le a; 0 \le y \le b; 0 \le z...
Examinations where questions for Gauss Divergence Theorem have appeared.
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