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Math 281 notes

 

Here are notes of each days' lecture from a Spring 2016 Math 281 class. Glaring errors will be removed, but mostly these will remain unedited.

 

Notes of Jan 27 - 12.1-.3: Distance formula, vectors, dot product

 

Notes of Feb 1 - 12.3: Dot product
Notes of Feb 3 - 12.3-.4: Projection, cross product

 

Notes of Feb 8 - 12.5: Lines and planes
Notes of Feb 10 - 12.5-.6: Planes, cylinders

 

Notes of Feb 17 - 12.6: Quadric surfaces, 13.1: Vector functions

 

Notes of Feb 22 - 13.2: Derivatives, integrals of vector functions
Notes of Feb 24 - 13.3: Arc length

 

Notes of Mar 2 - 13.3-.4: Curvature and acceleration

 

Notes of Mar 7 - 14.1: Functions of two variables, 14.2: Limits, 14.3: Partial derivatives
Notes of Mar 9 - 14.3: Partial derivatives, 14.4: Tangent planes and approximation

 

Notes of Mar 14 - 14.4: Tangent planes and approximation

 

Notes of Mar 28 - 14.5: Chain rules, implicit differentiation
Notes of Mar 30 - 14.6: Directional derivatives and gradient, 14.7: Max/min of functions of two variables

 

Notes of Apr 4 - 14.8: Lagrange multipliers
Notes of Apr 6 - 14.8: Lagrange multipliers, 15.1-.2: Double and iterated integrals

 

Notes of Apr 11 - 15.2-.3: Double integrals
Notes of Apr 13 - 15.3: Non-rectangular regions, 15.4: Double integrals in polar coordinates

 

Notes of Apr 18 - 15.4: Double integrals in polar coordinates

 

Notes of Apr 25 - 15.5: Mass and center of mass, 15.7: Triple integrals

Notes of Apr 27 - 15.8: Triple integrals in cylindrical coordinates, 15.9: Triple integrals in spherical coordinates (corrected)

 

Notes of May 2 - 15.10: Change of variables in double integrals

Notes of May 4 - 16.1: Vector fields, 16.2: Line integrals

 

Notes of May 9 - 16.5: Curl and divergence, 16.2: Line integrals

Notes of May 11 - 16.3: Fundamental theorem of line integrals, 16.4: Green's theorem

 

Notes of May 18 - 16.6: Parametric surfaces and area