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semester 3 mathematics
semester 3 mathematics
Complementary Paper for B.Sc. Physics
Paper Code: MM3CMT01
Paper Title: VECTOR CALCULUS, ANALYTIC GEOMETRY AND ABSTRACT ALGEBRA
Text Book: THOMAS' CALCULUS, George B. Thomas, 12th Edition, Pearson
syllabus
syllabus
introduction to vectors
introduction to vectors
Class 1
Class 1
Introduction to Vectors
Class 2
Class 2
Component Form of Vectors and Position Vector of a Point
module 2 integration in vector fields
module 2 integration in vector fields
vector fields, work, flow, circulation &flux
vector fields, work, flow, circulation &flux
PART 1 VECTOR FIELDS, GRADIENT & WORK
PART 1 VECTOR FIELDS, GRADIENT & WORK
PART 2 FLOW, CIRCULATION & FLUX
PART 2 FLOW, CIRCULATION & FLUX
path independence, conservative force, potential function & exact differential form
path independence, conservative force, potential function & exact differential form
PATH INDEPENDENCE, CONSERVATIVE FORCE, POTENTIAL FUNCTION & EXACT DIFFERENTIAL FORM
PATH INDEPENDENCE, CONSERVATIVE FORCE, POTENTIAL FUNCTION & EXACT DIFFERENTIAL FORM
green's theorem in the X-Y plane
green's theorem in the X-Y plane
GREENS THEOREM
GREENS THEOREM
Explanation of Green's Theorem: Divergence - Flux density and Curl -Circulation density
GREEN'S THEOREM Problems
GREEN'S THEOREM Problems
Type1 Verify Greens theorem
GREEN'S THEOREM Problems
GREEN'S THEOREM Problems
Type1 Verify Greens theorem
GREEN'S THEOREM Problems
GREEN'S THEOREM Problems
Type 2 Circulation and Flux using Greens theorem
GREEN'S THEOREM Problems
GREEN'S THEOREM Problems
Type 3 Line integral as a double integral using Greens theorem
GREEN'S THEOREM Problemss
GREEN'S THEOREM Problemss
Type 4 Evaluating Area of a Region in the xy plane as a Line Integral
SURFACES IN SPACE
SURFACES IN SPACE
INTRODUCTION TO SURFACE INTEGRAL
INTRODUCTION TO SURFACE INTEGRAL
Surfaces in Space
SURFACES IN 3 DIMENSIONAL SPACE
SURFACES IN 3 DIMENSIONAL SPACE
Graphs and Equations of SURFACES IN SPACE
SURFACE AREA
SURFACE AREA
SURFACE AREA PROJECTION METHOD
SURFACE AREA PROJECTION METHOD
Method and Example
SURFACE AREA PROJECTION METHOD
SURFACE AREA PROJECTION METHOD
Problems
SURFACE INTEGRALS
SURFACE INTEGRALS
SURFACE INTEGRAL
SURFACE INTEGRAL
USING
USING
PROJECTION METHOD &
PROJECTION METHOD &
PARAMETRIZATION METHOD
PARAMETRIZATION METHOD
Formula and Problem
FLUX ACROSS A SURFACE
FLUX ACROSS A SURFACE
FLUX ACROSS A SURFACE
FLUX ACROSS A SURFACE
Method and Problem
STOKE'S THEOREM
STOKE'S THEOREM
STOKE'S THEOREM
STOKE'S THEOREM
Explanation of Stoke's Theorem & Verification Problem
STOKE'S THEOREM PROBLEM
STOKE'S THEOREM PROBLEM
Calculation of Circulation Using Stoke's Theorem
GAUSS' DIVERGENCE THEOREM
GAUSS' DIVERGENCE THEOREM
GAUSS'S DIVERGENCE THEOREM
GAUSS'S DIVERGENCE THEOREM
Theorem statement and Problems
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