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This course includes
- 5h 31m of video
- 33 lessons
- Level: Advanced
- Spoken in English
- Your place is remembered
- Free in full, no card
Lessons
4 sections · 33 lessons · 5h 31m total length
Lessons 1 to 1010 lessons · 1h 25m
- What are the big ideas of Multivariable Calculus?? Full Course Intro17m
- Angle between vectors leads to defining the Dot Product | Multivariable Calculus6m
- Geometrically Defining the Cross Product | Multivariable Calculus5m
- The Vector Equation of Lines | Multivariable Calculus6m
- Equations of Planes: Vector & Component Forms | Multivariable Calculus4m
- 3D Curves and their Tangents | Intro to Vector-Valued Functions10m
- How long is a curve?? The Arclength Formula in 3D7m
- How curvy is a curve? Intro to Curvature & Circles of Curvature | Multi-variable Calculus8m
- Torsion: How curves twist in space, and the TNB or Frenet Frame11m
- Tangential and Normal components of Acceleration | Multi-variable Calculus11m
Lessons 11 to 2010 lessons · 1h 46m
- Visualizing Multi-variable Functions with Contour Plots8m
- Limits are...weird...for multi-variable functions | Limits along paths6m
- Computing Multivariable Limits Algebraically12m
- What are derivatives in 3D? Intro to Partial Derivatives9m
- Continuity vs Partial Derivatives vs Differentiability | My Favorite Multivariable Function9m
- What is differentiability for multivariable functions??15m
- The Multi-Variable Chain Rule: Derivatives of Compositions11m
- Directional Derivatives | What's the slope in any direction?12m
- Geometric Meaning of the Gradient Vector15m
- How to find the TANGENT PLANE | Linear approximation of multi-variable functions9m
Lessons 21 to 3010 lessons · 1h 56m
- Multi-variable Optimization & the Second Derivative Test14m
- Multivariable Optimization with Boundaries15m
- Lagrange Multipliers | Geometric Meaning & Full Example12m
- Lagrange Multipliers with TWO constraints | Multivariable Optimization16m
- Intro to Gradient Descent || Optimizing High-Dimensional Equations11m
- Defining Double Integration with Riemann Sums | Volume under a Surface10m
- Double Integration Example over General Regions --- two ways!10m
- Change the order of integration to solve tricky integrals8m
- Double Integration in Polar Coordinates | Example & Derivation11m
- The Gaussian Integral // Solved Using Polar Coordinates8m
What you need
- Experience expected: this course is pitched at an advanced level.
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
Who this course is for
- People already working with Science.
Those two are our reading of the course's level. The description is the author's own.