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NPTEL

Multivariable Calculus

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This course includes topics like differentiation and integration of the functions of two or more variables together with their various applications. This course also includes the calculus of vector functions with different applications.
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41 Lesons
22 hours
On-Demand
Free-Video
NPTEL

An Introduction to Smooth Manifolds

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The course will start with a brief outline of the prerequisites from topology and multi-variable calculus. After that a large class of examples, including Lie groups, will be presented. The course will culminate with proof of Stokes' theorem on manifolds.
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69 Lesons
1 day 11 hours
On-Demand
Free-Video
University of Oxford

Multidimensional Analysis and Geometry - Introduction to the Derivative in Higher Dimensions - Lecture 1

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Explore the derivative in higher dimensions, extending single-variable concepts to multidimensional functions and introducing the derivative as a linear map for best approximation.
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1 Lesons
53 minutes
On-Demand
Free-Video

Double and Triple Integrals

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Explore double and triple integrals, including polar and spherical coordinates, with practical examples like calculating volumes and solving complex mathematical problems.
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33 Lesons
6 hours
On-Demand
Free-Video

Multivariable Calculus - Surface Integrals

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Explore advanced calculus concepts including parameterized surfaces, surface integrals, Stoke's Theorem, and the Divergence Theorem through comprehensive examples and in-depth explanations.
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16 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Jonathan Walters

Calculus 3

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Comprehensive exploration of advanced calculus concepts, covering 3D space, vectors, multivariable functions, integration techniques, and theorems with practical applications and visualizations.
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60 Lesons
7 hours
On-Demand
Free-Video
Jonathan Walters

Stewart Calculus - Multivariable Functions

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Explore partial derivatives, linear approximation, chain rule, directional derivatives, and optimization in multivariable calculus through visualizations and practical examples.
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11 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Jonathan Walters

Calculus 3

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Comprehensive exploration of advanced calculus concepts, including vectors, coordinate systems, multivariable functions, multiple integrals, and parametric equations in three-dimensional space.
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24 Lesons
1 day
On-Demand
Free-Video
Dr. Gajendra Purohit

Multivariable Calculus

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Comprehensive exploration of advanced calculus concepts, covering vector analysis, partial differentiation, complex analysis, and multivariable integration with practical examples and solutions.
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59 Lesons
16 hours
On-Demand
Free-Video
Dr. Gajendra Purohit

Partial Differentiation

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Comprehensive exploration of partial differentiation techniques, covering Euler's theorem, Jacobians, envelopes, and evolutes. Includes examples, solutions, and applications in multivariable calculus.
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16 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Advanced Calculus - Multivariable Calculus

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Comprehensive exploration of advanced calculus concepts, from differential equations to multivariable calculus, including series, vector functions, optimization, and integral theorems.
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101 Lesons
17 hours
On-Demand
Free-Video
Sean Fitzpatrick

APEX Calculus - Multiple Integration

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Comprehensive exploration of multiple integration techniques, covering double and triple integrals, coordinate systems, and change of variables, with practical examples and applications.
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28 Lesons
4 hours 30 minutes
On-Demand
Free-Video
rootmath

Multivariable Calculus

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Explore vector operations, dot products, and 3D geometry in this comprehensive introduction to multivariable calculus, covering key concepts and practical examples.
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16 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Calculus 3 - Vol 1

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Master advanced calculus concepts including 3D coordinates, vectors, partial derivatives, and double integrals in this comprehensive tutorial series.
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11 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Multivariable Calculus

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Comprehensive video series covering multivariable calculus topics, from domains and vectors to triple integrals and coordinate systems, aligned with an open textbook for active learning.
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40 Lesons
3 hours 30 minutes
On-Demand
Free-Video

Calculus III - Multivariable Calculus - Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization

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Explore multivariable calculus through geometric and conceptual understanding. Master vectors, curves, partial derivatives, multiple integrals, and optimization techniques for advanced mathematical applications.
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32 Lesons
5 hours
On-Demand
Free-Video
Ross Dynamics Lab

Hyperbolic vs Non-Hyperbolic Fixed Points - Computing Their Invariant Manifolds via Taylor Series

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Explore hyperbolic and non-hyperbolic fixed points, their invariant manifolds, and computational methods using Taylor series expansion in dynamical systems and nonlinear dynamics.
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7 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Krista King

What Does a Double Integral Represent?

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Explore the concept of double integrals, comparing them to single integrals and visualizing their representation of volume under a surface in multivariable calculus.
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9 Lesons
26 minutes
On-Demand
Free-Video
Krista King

How to Solve Partial Derivatives

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Learn to calculate and interpret partial derivatives for multivariable functions, including first-order, second-order, and mixed partial derivatives, with clear explanations and examples.
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12 Lesons
35 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3

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Comprehensive exploration of advanced calculus concepts, including vectors, multivariable functions, and vector fields, with practical applications and in-depth mathematical analysis.
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34 Lesons
3 days 3 hours
On-Demand
Free-Video
Professor Leonard

Calculus 3 Lecture - Constrained Optimization with LaGrange Multipliers

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Learn to optimize multivariable functions with constraints using gradients and LaGrange multipliers. Master this powerful calculus technique through clear explanations and challenging examples.
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5 Lesons
59 minutes
On-Demand
Free-Video
Insights into Mathematics

Tangent Conics and Tangent Quadrics - Differential Geometry

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Exploring advanced calculus concepts through algebraic methods, focusing on tangent conics and quadrics. Offers a fresh perspective on polynomial approximations and their geometric applications.
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7 Lesons
49 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - The Extreme Value Theorem

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Explore the extreme value theorem in two variables through practical examples, enhancing understanding of multivariable calculus concepts.
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1 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - When the Divergence Theorem Doesn't Apply

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Explore surface integrals over special vector fields, including cases where the divergence theorem fails, in this advanced multivariable calculus analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Verifying the Divergence Theorem

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Explore a practical example of the divergence theorem in multivariable calculus, enhancing understanding through step-by-step verification and clear explanations.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Stoke's Theorem

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Explore Stoke's Theorem in multivariable calculus, including its description and a proof outline, enhancing understanding of vector calculus and its applications in physics and engineering.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Two Surface Integrals Over Vector Fields

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Explore surface integrals over vector fields in this concise tutorial, enhancing your understanding of multivariable calculus concepts and applications.
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1 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - The Area of a Parameterized Surface

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Derive a formula for calculating the area of parameterized surfaces in multivariable calculus, enhancing understanding of complex geometric concepts.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Vector Forms of Green's Theorem

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Explore vector forms of Green's Theorem in multivariable calculus, enhancing understanding of this fundamental concept in advanced mathematics.
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1 Lesons
26 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - What Is a Vector Field

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Explore vector fields, their graphical representations, and conservative vector fields with clear examples and explanations.
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1 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - More Change of Variables in Multiple Integrals

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Explore advanced techniques for evaluating double integrals using change of variable methods, enhancing your understanding of multivariable calculus concepts.
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1 Lesons
21 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Transformations of the Plane

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Explore one-to-one transformations of the plane, laying groundwork for change of variables in multiple integrals and advancing understanding of multivariable calculus concepts.
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1 Lesons
22 minutes
On-Demand
Free-Video
Michael Penn

Multivariable Calculus - Changing the Order of Integration in Double Integrals

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Explore techniques for changing integration order in double integrals over complex regions, enhancing problem-solving skills in multivariable calculus.
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1 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - 2-Forms

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Introduction to 2-forms in differential geometry, defining the concept and providing examples to illustrate their properties and applications in mathematical analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
Michael Penn

An Aesthetic Double Integral

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Explore an elegant calculation of a double integral, showcasing refined mathematical techniques and aesthetic problem-solving approaches in advanced calculus.
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1 Lesons
21 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Cynthia Vinzant - Log Concave Polynomials and Matroids

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Explore strong log concavity in polynomials, its applications to matroids, and connections to combinatorics and geometry. Learn about recent developments and their implications.
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8 Lesons
58 minutes
On-Demand
Free-Video
Khan Academy

Introduction to the Surface Integral - Multivariable Calculus - Khan Academy

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Learn the fundamentals of surface integrals in multivariable calculus, exploring their applications and calculations in three-dimensional space.
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1 Lesons
22 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - Double Integrals Over Polar Regions

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Comprehensive exploration of double integrals in polar coordinates, covering translation from rectangular to polar forms and practical applications in calculus.
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1 Lesons
3 hours 25 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - How to Solve Double-Repeated-Iterated Integrals

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Comprehensive guide to solving double integrals, covering construction techniques over various regions. Ideal for mastering advanced calculus concepts and enhancing problem-solving skills in multivariable integration.
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1 Lesons
3 hours 24 minutes
On-Demand
Free-Video
Professor Leonard

Introduction to Double Integrals - Background Info

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Explore the origins, representations, and fundamental concepts of double integrals in this comprehensive introduction, laying the groundwork for advanced calculus applications.
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1 Lesons
52 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - Finding Tangent Planes and Normal Lines to Surfaces

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Learn to find tangent planes and normal lines to surfaces in multivariable calculus, using gradient functions to analyze complex three-dimensional geometries.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - Finding Differentials of Multivariable Functions

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Explore differentials of multivariable functions, from basic concepts to advanced applications in word problems. Gain a deeper understanding of calculus principles and their real-world relevance.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - The Chain Rule for Multivariable Functions

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Explore the Chain Rule for multivariable functions, focusing on derivatives involving parametrics and compositions. Derive the rule and practice with examples.
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1 Lesons
2 hours 12 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - Partial Derivatives - Derivatives of Multivariable Functions

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Explore partial derivatives in multivariable calculus, including tangent line slopes, implicit differentiation, and higher-order derivatives. Gain a deep understanding through numerous examples.
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1 Lesons
2 hours 29 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - Limits and Continuity of Multivariable Functions

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Explore limits and continuity of multivariable functions, including the Squeeze Theorem. Learn techniques to determine limit existence and regions of continuity in this comprehensive lecture.
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1 Lesons
2 hours 15 minutes
On-Demand
Free-Video
Professor Leonard

Intro to Multivariable Functions - Domain, Sketching, Level Curves

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Explore multivariable functions, focusing on domain analysis, function sketching, and level curves. Gain practical skills in visualizing and interpreting complex mathematical concepts.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Professor Dave Explains

Double and Triple Integrals

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Explore double and triple integrals, building on single integral knowledge. Learn to set up integration bounds and choose variable order through rules and examples.
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1 Lesons
15 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Calculus - Classifying 2D Critical Points Using the Discriminant

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Learn to classify 2D critical points using the discriminant method. Explore maximum, minimum, and saddle points with visualizations and step-by-step derivations for multivariable functions.
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6 Lesons
30 minutes
On-Demand
Free-Video
NIOS

Mathematics I

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Explore advanced calculus concepts including theorems, integrals, and series. Master differentiation, integration, and multivariable calculus for a strong mathematical foundation.
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26 Lesons
23 hours
On-Demand
Free-Video
Mathemaniac

What Is Jacobian - The Right Way of Thinking Derivatives and Integrals

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Explore the Jacobian matrix and determinant in multivariable calculus, rethinking derivatives and integrals for a deeper understanding of changing variables in higher dimensions.
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9 Lesons
27 minutes
On-Demand
Free-Video
Krista King

Precise Definition of the Limit for Multivariable Functions

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Explore the epsilon-delta definition of limits for multivariable functions, gaining a precise understanding of this advanced calculus concept with clear explanations and examples.
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1 Lesons
34 minutes
On-Demand
Free-Video
Gautam Varde

Gauss Divergence Theorem - Proof and Applications in Vector Calculus

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Explore the Gauss Divergence Theorem with a clear, concise proof. Gain insights into vector calculus and its applications in engineering and mathematics.
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1 Lesons
11 minutes
On-Demand
Free-Video
Gautam Varde

Exact Differential Forms and Equations in Vector Calculus - Problems and Solutions

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Learn to identify and solve exact differential forms in vector calculus, with practical problem-solving techniques and applications.
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1 Lesons
13 minutes
On-Demand
Free-Video
Wrath of Math

Second Derivatives Test for Local Extrema of Multivariable Functions - Calculus 3 Exercises

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Explore second derivatives test for finding local extrema of multivariable functions through three examples, covering maximums, minimums, and saddle points using partial derivatives.
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4 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Green's Theorem: Derivation and Examples - Lecture 23

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Derive and explore Green's Theorem through detailed examples, enhancing understanding of this fundamental concept in vector calculus.
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1 Lesons
19 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Derivative as a Linear Map

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Explore the concept of derivative as a linear map, gaining insights into its mathematical properties and applications.
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1 Lesons
25 minutes
On-Demand
Free-Video
Dot Physics

Mathematical Method to Test for Conservative Fields

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Learn a mathematical technique to determine if a vector field is conservative by calculating its curl and verifying if it equals zero.
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1 Lesons
19 minutes
On-Demand
Free-Video
Excellence Academy

Partial Derivative by Quotient Rule - Part 2

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Master partial differentiation using the quotient rule. Learn step-by-step problem-solving techniques for complex functions in calculus.
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1 Lesons
22 minutes
On-Demand
Free-Video
Excellence Academy

Partial Derivative and Chain Rule in Calculus

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Aprenda a resolver problemas de derivadas parciais usando a regra da cadeia. Domine o processo passo a passo para diferenciação parcial em apenas 20 minutos.
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1 Lesons
20 minutes
On-Demand
Free-Video
Excellence Academy

Partial Derivative by Quotient Rule - Partial Differentiation

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Master partial differentiation using the quotient rule. Learn step-by-step problem-solving techniques for complex functions in calculus.
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1 Lesons
17 minutes
On-Demand
Free-Video
Excellence Academy

Total Derivative and Total Differentiation - Best Introduction and Explanation

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Explore total derivative and differentiation through step-by-step problem-solving using partial derivatives. Master this essential calculus concept with clear explanations and examples.
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1 Lesons
16 minutes
On-Demand
Free-Video
UofU Data Science

Probability and Statistics: Joint Continuous Random Variables - Lecture 10

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Master probability concepts through double integrals, marginal PDFs, and conditional expectations while exploring joint continuous random variables and their independence relationships.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Wrath of Math

Geometric Definition of the Dot Product and Two-Dimensional Multiplication

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Dive into the geometric foundations of dot products, from basic vector multiplication to advanced concepts in R^2, including component definitions, law of cosines, and applications in higher dimensions.
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15 Lesons
34 minutes
On-Demand
Free-Video