Calculus II (Spring 2017) by Ali Sinan Sertöz at Bilkent University

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source: BilkentUniversitesi   2017年2月8日
Calculus II - MATH 102

Lecture 01 47:22 Vectors
Lecture 02 50:15 DOT Product
Lecture 03 50:46 CROSS Product
Lecture 04 44:54 Lines and Planes
Lecture 05 50:31 Problems on Vectors
Lecture 06 43:41 Parametric Curves
Lecture 07 41:02 Arc-length of Parametric Curves
Lecture 08 45:07 Functions of Several Variables
Lecture 09 55:26 Limits and Continuity
Lecture 10 44:35 Limits and Continuity (cont'd)
Lecture 11 35:33 Problems on Limits
Lecture 12 50:50 Partial Derivatives
Lecture 13 49:43 Partial Derivatives and Tangent Planes
Lecture 14 49:02 Linear Approximation
Lecture 15 37:26 Chain Rule
Lecture 16 46:22 Implicit Differentiation and Directional Derivatives
Lecture 17 51:33 Gradient and The Tangent Plane
Lecture 18 49:08 Min. & Max. of Functions of Several Variables
Lecture 19 52:16 The Second Derivative Test
Lecture 20 36:13 Problems on Min. & Max.
Lecture 21 48:01 More Min. & Max. Problems
Lecture 22 46:28 Absolute Min. & Max. Problems
Lecture 23 49:55 Lagrange Multipliers Method
Lecture 24 43:48 Problems on Lagrange's Method
Lecture 25 46:33 Double Integrals over Rectangles
Lecture 26 46:28 Double Integrals over General Regions
Lecture 27 49:36 Problems on Double Integrals
Lecture 28 37:37 More Problems on Double Integrals
Lecture 29 48:55 Double Integrals in Polar Coordinates
Lecture 30 49:01 Problems on Double Integrals in Polar Coordinates
Lecture 31 53:31 Triple Integrals
Lecture 32 32:11 Problems on Triple Integrals
Lecture 33 47:06 Cylindrical Coordinates & Problems
Lecture 34 41:13 More Problems on Cylindrical Coordinates
Lecture 35 52:33 Spherical Coordinates
Lecture 36 31:26 Change of Variables in Multiple Integrals
Lecture 37 48:04 Problems on Multiple Integrals
Lecture 38 49:02 Sequences
Lecture 39 51:42 Theorems on Sequences
Lecture 40 33:02 Problems on Sequences
Lecture 42 48:25 The Integral Test
Lecture 43 50:19 Comparison Test
Lecture 44 30:40 Problem of Series
Lecture 45 48:13 More Problem of Series
Lecture 46 53:38 Alternating Series Test
Lecture 47 50:57 Absolute & Conditional Convergence & Ratio Test
Lecture 48 35:08 Root Test & Problems on Series
Lecture 49 46:51 Power Series
Lecture 50 36:40 More Power Series
Lecture 51 49:10 More Power Series (cont'd)
Lecture 52 46:10 Taylor Series
Lecture 53 48:16 Taylor Series (cont'd)
Lecture 54 35:32 Division of Power Series
Lecture 55 44:09 Binomial Theorem
Lecture 56 44:20 Applications & Irrationality of e