Multivariable Calculus for B. Tech. Students
18 videos • 485 views • by Dr. Trivedi Harsh Chandrakant
This is a B.Tech. course I offered at LNMIIT. The approach is elementary.
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Lecture 1: Improper integrals of type-I
Dr. Trivedi Harsh Chandrakant
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2
Lecture 2: Improper integrals of type-I (comparison/limit comparison test)
Dr. Trivedi Harsh Chandrakant
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Lecture 3: Improper integrals of type-II
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4
Lecture:4 Taylor series
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Lecture 5: Fundamental Theorem of Calculus
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Lecture 6: Limit of functions of two variables using sequences
Dr. Trivedi Harsh Chandrakant
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Lecture 8: Limit of two variables function using polar coordinates and partial derivatives
Dr. Trivedi Harsh Chandrakant
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8
Lecture 9: Mixed partial derivatives and Differentiability
Dr. Trivedi Harsh Chandrakant
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9
Lecture 10: Gradient and directional derivatives
Dr. Trivedi Harsh Chandrakant
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Lecture 11: Differentiability and directional derivatives
Dr. Trivedi Harsh Chandrakant
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Lecture 12: Mean Value theorem and local maxima minima: Multivariable case
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Lecture 13: Local extremum and second derivative test for Multivariable functions
Dr. Trivedi Harsh Chandrakant
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Lecture 14: Absolute maxima/minima and Lagrange multiplier method
Dr. Trivedi Harsh Chandrakant
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Lecture 15: Fubini's theorem for Double integrals
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Lecture 16: Change of variables in Double integral
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Lecture 17: Fubini's theorem for Triple integrals
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Lecture 18: Fubini's stronger version for Triple integrals
Dr. Trivedi Harsh Chandrakant
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18
Lecture 19: Change of variables triple integrals
Dr. Trivedi Harsh Chandrakant
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