Sujets liés
Ce cours comprend
- 5 h 31 min de vidéo
- 33 leçons
- Niveau : Avancé
- Langue : English
- On retient où vous en étiez
- Entièrement gratuit, sans carte
Leçons
4 sections · 33 leçons · 5 h 31 min durée totale
Leçons 1 à 1010 leçons · 1 h 25 min
- What are the big ideas of Multivariable Calculus?? Full Course Intro17 min
- Angle between vectors leads to defining the Dot Product | Multivariable Calculus6 min
- Geometrically Defining the Cross Product | Multivariable Calculus5 min
- The Vector Equation of Lines | Multivariable Calculus6 min
- Equations of Planes: Vector & Component Forms | Multivariable Calculus4 min
- 3D Curves and their Tangents | Intro to Vector-Valued Functions10 min
- How long is a curve?? The Arclength Formula in 3D7 min
- How curvy is a curve? Intro to Curvature & Circles of Curvature | Multi-variable Calculus8 min
- Torsion: How curves twist in space, and the TNB or Frenet Frame11 min
- Tangential and Normal components of Acceleration | Multi-variable Calculus11 min
Leçons 11 à 2010 leçons · 1 h 46 min
- Visualizing Multi-variable Functions with Contour Plots8 min
- Limits are...weird...for multi-variable functions | Limits along paths6 min
- Computing Multivariable Limits Algebraically12 min
- What are derivatives in 3D? Intro to Partial Derivatives9 min
- Continuity vs Partial Derivatives vs Differentiability | My Favorite Multivariable Function9 min
- What is differentiability for multivariable functions??15 min
- The Multi-Variable Chain Rule: Derivatives of Compositions11 min
- Directional Derivatives | What's the slope in any direction?12 min
- Geometric Meaning of the Gradient Vector15 min
- How to find the TANGENT PLANE | Linear approximation of multi-variable functions9 min
Leçons 21 à 3010 leçons · 1 h 56 min
- Multi-variable Optimization & the Second Derivative Test14 min
- Multivariable Optimization with Boundaries15 min
- Lagrange Multipliers | Geometric Meaning & Full Example12 min
- Lagrange Multipliers with TWO constraints | Multivariable Optimization16 min
- Intro to Gradient Descent || Optimizing High-Dimensional Equations11 min
- Defining Double Integration with Riemann Sums | Volume under a Surface10 min
- Double Integration Example over General Regions --- two ways!10 min
- Change the order of integration to solve tricky integrals8 min
- Double Integration in Polar Coordinates | Example & Derivation11 min
- The Gaussian Integral // Solved Using Polar Coordinates8 min
Ce qu'il vous faut
- Expérience attendue : le cours est de niveau avancé.
Description
A full course playlist for Multivariable Calculus (aka Calculus III). These videos establish the foundational knowledge for the various content, emphasizing geometric and conceptual understanding. They follow the course MATH200 taught by Dr. Trefor Bazett at the University of Victoria. Topics: * Vectors, Lines & Planes * Vector-Valued Functions (plotting, tangents, curvature, arclength, etc...) * Partial Derivatives * Integration
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