LLM-Integrated Multivariable Calculus Course

Academa Multivariable Calculus 🇺🇸 English Vectors and the Geometry of the Space 25:29 Lecture 1 Vectors 33:47 Lecture 2 Dot Product 26:17 Lecture 3 Vector Projections and Determinants 20:07 Lecture 4 Cross Product 37:06 Lecture 5 Planes and Lines 30:02 Lecture 6 Planes and Lines (cont.) Vector Functions 28:26 Lecture 7 Parametric Curves 28:39 Lecture 8 Parametric Curves (cont.) Partial Derivatives 40:22 Lecture 9 Partial Derivatives 29:10 Lecture 10 Partial Derivatives (cont.) 9:21 Lecture 11 Tangent Plane, Normal Vector to Surface 23:24 Lecture 12 Chain Rule 28:29 Lecture 13 Directional Derivative and the Gradient 34:42 Lecture 14 Maximization and Minimization 27:39 Lecture 15 Lagrange Multipliers Multiple Integrals 41:43 Lecture 16 Double Integration 23:02 Lecture 17 Double Integration over General Regions 23:29 Lecture 18 Applications of Double Integration Lecture 19 Double Integration in Polar Coordinates Lecture 20 Triple Integration Lecture 21 Applications of Triple Integration Lecture 22 Cylindrical and Spherical Coordinates Lecture 23 Integration in Cylindrical and Spherical Coordinates Lecture 24 General Change of Variables Vector Calculus Lecture 25 Vector Fields and Line Integrals Lecture 26 Gradient Fields and the Fundamental Theorem of Line Integrals Lecture 27 More on Conservative Fields Lecture 28 Green's Theorem Lecture 29 Curl and Divergence Lecture 30 More on Div and Curl Lecture 32 More on Parametric Surfaces, Surface Integrals Lecture 33 Big Picture of Integration, Stokes' Theorem Lecture 35 Curl Free World, Div Free World Toggle Sidebar Lecture 1: Vectors Feedback Video Chat Next Dot Product