Math 227
Problems, Solutions, Handouts
|
Instructor
Joel Feldman
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Notes
- Properties of Derivatives of Vector Valued Functions
[
pdf
]
- The Astroid
[
pdf,
applet
]
- Parametrizing Circles
[
pdf
]
- A Compendium of Curve Formulae
[
pdf
]
- Skateboarding in a Culvert
[
version of January 15, 2016
]
- Vector Field Sketches
[
pdf
]
- Review of Ordinary Differential Equations
[
pdf
]
- The Damped Pendulum
[
pdf,
applet
]
- 3d Coordinate Systems
[
pdf
]
- Flux Formulae
[
pdf
]
- Flux Integral Example
[
pdf
]
- Vector Identities
[
pdf
]
- Divergence Theorem and Variations
[
pdf
]
- Proof that "a . b x c = a x b . c"
[
pdf
]
- Buoyancy
[
pdf
]
- Stokes' Theorem
[
statement and proof
, example
]
- More About Which Vector Fields Have Curl Zero
[
pdf
]
- The Physical Significance of div and curl
[
short, simple, version ,
longer, more involved, version
]
- Integration on Manifolds
[
version of April 4, 2016
]
More Notes
- Complex Numbers and Exponentials
[
pdf
]
- Hyperbolic Trig Functions
[
pdf
]
- Quadric Surfaces
[
pdf
]
- Vectors and Geometry in Two and Three Dimensions
[
pdf
]
- Precession of the Perihelion of Mercury
[
pdf,
applet
]
- Numerical Approximate Solutions to ODE's
- Simple ODE Solvers - Derivation
[ pdf ]
- Simple ODE Solvers - Error Behaviour
[ pdf ]
- Richardson Extrapolation
[ pdf ]
- The RLC Circuit
[
pdf
]
- Rigid Body Motion
- Torque
[ pdf]
- A Summary of Rigid Body Formulae
[ pdf ]
- Euler Wobble
[ pdf ]
- The Chain Rule
[
pdf
]
- The Contraction Mapping Theorem
[
pdf
]
- Circulation around a small circle
[
pdf
]
- The Divergence/Stokes' theorems and partial differential equations
[
The Heat Equation ,
Faraday's Law ,
Poisson's Equation
]
- A Continuous Bijection with Discontinuous Inverse
[
pdf
]