Intro to Gradient Descent || Optimizing High-Dimensional Equations

გაკვეთილები33 გაკვეთილი

• ✓1What are the big ideas of Multivariable Calculus?? Full Course Intro
• ✓2Angle between vectors leads to defining the Dot Product | Multivariable Calculus
• ✓3Geometrically Defining the Cross Product | Multivariable Calculus
• ✓4The Vector Equation of Lines | Multivariable Calculus
• ✓5Equations of Planes: Vector & Component Forms | Multivariable Calculus
• ✓63D Curves and their Tangents | Intro to Vector-Valued Functions
• ✓7How long is a curve?? The Arclength Formula in 3D
• ✓8How curvy is a curve? Intro to Curvature & Circles of Curvature | Multi-variable Calculus
• ✓9Torsion: How curves twist in space, and the TNB or Frenet Frame
• ✓10Tangential and Normal components of Acceleration | Multi-variable Calculus
• ✓11Visualizing Multi-variable Functions with Contour Plots
• ✓12Limits are...weird...for multi-variable functions | Limits along paths
• ✓13Computing Multivariable Limits Algebraically
• ✓14What are derivatives in 3D? Intro to Partial Derivatives
• ✓15Continuity vs Partial Derivatives vs Differentiability | My Favorite Multivariable Function
• ✓16What is differentiability for multivariable functions??
• ✓17The Multi-Variable Chain Rule: Derivatives of Compositions
• ✓18Directional Derivatives | What's the slope in any direction?
• ✓19Geometric Meaning of the Gradient Vector
• ✓20How to find the TANGENT PLANE | Linear approximation of multi-variable functions
• ✓21Multi-variable Optimization & the Second Derivative Test
• ✓22Multivariable Optimization with Boundaries
• ✓23Lagrange Multipliers | Geometric Meaning & Full Example
• ✓24Lagrange Multipliers with TWO constraints | Multivariable Optimization
• ✓25Intro to Gradient Descent || Optimizing High-Dimensional Equations
• ✓26Defining Double Integration with Riemann Sums | Volume under a Surface
• ✓27Double Integration Example over General Regions --- two ways!
• ✓28Change the order of integration to solve tricky integrals
• ✓29Double Integration in Polar Coordinates | Example & Derivation
• ✓30The Gaussian Integral // Solved Using Polar Coordinates
• ✓31Triple Integrals in Cartesian Coordinates | Volume between Surfaces
• ✓32Integration in Spherical Coordinates
• ✓33Change of Variables & The Jacobian | Multi-variable Integration

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