Natural Numbers and Induction
47:48Binomial Theorem and Sets
41:50Algebra of Sets, Truth Tables, and Cardinality
52:50Relations and Equivalence Relations
49:04Functions
53:16Logical Notation and Quantifiers
44:20Constructing Statements and Proofs
46:33Complex Numbers I: Algebraic Foundations, Argand Plane & Polar Form
46:06Complex Numbers II: De Moivre's Theorem & Roots of Unity
50:04Introductory Calculus: First Year Student Lecture
58:03Multivariable Calculus, Lecture 1: Multiple Integrals in 2D
46:39Multivariable Calculus, Lecture 2: Multiple Integrals in 2D; Change of Variables and Jacobians
48:06Multivariable Calculus, Lecture 3: Volume Integrals
52:22Multivariable Calculus, Lecture 4: Surface Integrals
48:03Multivariable Calculus, Lecture 2: Multiple Integrals in 2D; Change of Variables and Jacobians
This session advances multivariable integration by exploring techniques for changing variables, with a detailed examination of the Jacobian determinant and its applications.
This is the second of four lectures we are showing from our 'Multivariable Calculus' 1st year course. In the lecture, Sarah's focus is on 'Multiple Integrals in 2D; Change of Variables and Jacobians'.
You can watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists): https://www.youtube.com/playlist?list=PL4d5ZtfQonW0A4VHeiY0gSkX1QEraaacE
Multivariable Calculus, Lecture 1: Multiple Integrals in 2D
Next · Lecture 13Multivariable Calculus, Lecture 3: Volume Integrals