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Kalamassery, Kochi, Ernakulam
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Maths
GYMAT102-MATHEMATICS FOR ELECTRICAL SCIENCE AND PHYSICAL SCIENCE – 2
GYMAT102-MATHEMATICS FOR ELECTRICAL SCIENCE AND PHYSICAL SCIENCE – 2
Curriculum
4 Sections
36 Lessons
10 Weeks
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Module 1-Partial Derivatives
Limit of functions of more than one variable
9
1.1
Limits
60 Minutes
1.2
Continuity
35 Minutes
1.3
Partial Derivatives of Functions of Two Variables
30 Minutes
1.4
Partial Derivatives of Higher Order
30 Minutes
1.5
Mixed Partial Derivatives
30 Minutes
1.6
Local Linear Approximation
40 Minutes
1.7
Chain rule
40 Minutes
1.8
Implicit differentiation
30 Minutes
1.9
Maxima and minima of functions of two variables
40 Minutes
Module 2 Multiple Integrals
9
2.1
Double Integrals
50 Minutes
2.2
Reversing the order of integration in double integrals
30 Minutes
2.3
Change of coordinates in double integrals
30 Minutes
2.4
Evaluating areas using double integrals
35 Minutes
2.5
Finding volumes using double integrals
35 Minutes
2.6
Triple integrals
30 Minutes
2.7
Volume calculated as triple integrals
35 Minutes
2.8
Triple integrals in cartesian and cylindrical co ordinates
30 Minutes
2.9
More problems in triple integrals
30 Minutes
Calculus of vector functions
9
3.1
Vector valued function of a single variable-Derivative of vector valued function
3.2
Concept of scalar and vector fields
3.3
Directional Derivatives
3.4
Divergent and Curl
3.5
Line Integrals of vector fields
3.6
Work done as a Line integral
3.7
Conservative Vector Field
40 Minutes
3.8
Independence of path,Potential function
40 Minutes
3.9
More problems
25 Minutes
Vector Integral Theorems
9
4.1
Green’s Theorem and applications to evaluating line integrals
80 Minutes
4.2
Finding Areas using Green’s Theorem
20 Minutes
4.3
Surface Integrals
50 Minutes
4.4
Divergence Theorem
4.5
Using Divergence Theorem to find flux
4.6
Stoke’s Theorem
25 Minutes
4.7
More problems on Stoke’s Theorem
40 Minutes
4.8
More problems on Divergence Theorem
20 Minutes
4.9
More problems on Green’s Theorem
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