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CALC3 KAWAI Parametric Equations
- Class notes • 2 pages • 2020
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Parametric equations general form
Parameters
Parametric descriptions 
Parametric equations of a circle
Proof of parametric circle
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CALC 3 KAWAI Conic Sections
- Class notes • 2 pages • 2020
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Intersections of cone(s) with a plane
Parabola
Ellipse
Circle
Hyperbola
Semi-major axis
Semi-minor axis
Standard form of conics
Asymptotes
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CALC 3 KAWAI 2D Vectors
- Class notes • 2 pages • 2020
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Component form of vectors
Engineering vector notation
Position vectors
Magnitude of vectors
Unit vectors
Scalar multiples
Parallel vectors
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CALC 3 KAWAI Dot Product
- Class notes • 2 pages • 2020
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Dot products 
Properties of dot products
Angle of separation
Geometric formula of dot product
Projections 
Orthogonals
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CALC 3 KAWAI Cross Product
- Class notes • 2 pages • 2020
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Cross products of 2 component vectors <x,y> and 3 component vectors <x,y,z>
Engineering notation of cross products
Order of cross products
Properties of cross products
Geometric property of cross product
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CALC 3 KAWAI 3D Lines & Planes
- Class notes • 3 pages • 2020
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Position vector function
Vector Equations
Parametric Equations
Non-simple planes
Normal vector
Orthogonal vector
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CALC 3 KAWAI 3D Cylinders & Quadric Surfaces
- Class notes • 3 pages • 2020
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Extrusions along x,y,z axes
Generating curves
Traces in x,y,z 
Quadric surfaces classification 
Ellipsoid, Elliptic paraboloid, Hyperbolic paraboloid, Hyperboloid of one sheet, Hyperboloid of two sheets, Hyperbolic cones, Elliptic cones
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Mat 271 (Calculus II) Notes & Homework
- Class notes • 132 pages • 2016
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This file has all lecture notes from the semester with detailed theory definitions, examples, and uses. The file also includes written out and solved homework problems and an in depth final review which helped me get a 93% on the final exam.
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