Midterm
- Intro and parametric equations
- Polar coordinates, curve sketch, tangent lines, area in polar coordinate
- Area in polar (cont.), Vector and lines in 3D / Planes
- Vector-valued functions, position vector, calculus of vector functions, TNB vectors
- Partial derivatives of function of several variables
- Chain rules and branch diagrams
- Directional derivatives, normal vectors and tangent planes, gradient vectors
- Intro and parametric equations
- Polar coordinates, curve sketch, tangent lines, area in polar coordinate
- Area in polar (cont.), Vector and lines in 3D / Planes
- Vector-valued functions, position vector, calculus of vector functions, TNB vectors
- Partial derivatives of function of several variables
- Chain rules and branch diagrams
- Directional derivatives, normal vectors and tangent planes, gradient vectors
1. Extremes of functions of several variables
2. Extremes with constraints, Lagrange multipliers
3. Multiple integrals of function of several variables
- Double integrals over rectangular region
4. Multiple integrals of function of several variables
- Double integrals over non-rectangular region
5.Triple integration and meaning
6. Vector calculus I
- Vector fields /Line integral of scalar field along curve path
7. Vector calculus II
- Line integral of vector field along curve path
- Independence of path, Conservative fields
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