Log of Math 126F
August 16 -notes
Post July 10 - notes
See Caleb Geiger's notes
July 10 -notes
13.4 Motion in Space: Velocity and Acceleration
Velocity, acceleration, and displacement
Speed and distance traveled
Obtaining position vector from acceleration and initial conditions
Tangential and normal components of acceleration
July 7 - notes
10.3 Polar Coordinates
Definition of polar coordinates
Conversions between polar and cartesian coordinates
Graphs in polar coordinates
Symmetries of polar graphs
Tangents to polar curves
July 5 - notes
13.3 Arc length and Curvature
More parameterizing a curve with respect to arc length
The unit normal and unit binormal vector
TNB frame
The normal plane
The osculating plane
The osculating circle
July 3 - notes by Caleb Geiger
13.3 Arc length and Curvature
Definition of arc length
Parameterizing a curve with respect to arc length
Definition of unit tangent vector
Intuitive definition of curvature in terms of osculating circle
Computational definition of curvature
June 30 - notes
10.2 Calculus with parametric curves
Tangents of parametric curves
Arclength of parametric curves
13.2 Derivatives and Integrals of Vector Functions
Derivatives of vector functions
Unit tangent vectors of vector functions
Integrals of vector functions
June 28 - notes
12.6 Cylinders and Quadratic Surface
Transformations of quadratic surfaces from standard form
Converting equations into standard form equations by completing the square
10.1/13.1 Vector functions and space curves
Definition of vector functions
Definition of parametric equation
Definition of space curves
Intersections versus collisions
Graphs of vector functions
Limits of vector functions
Continuous vector functions
June 26 - notes
12.5 Equation of lines and planes
A point and normal vector defines a plane
Vector equation for a plane
Linear equation for a plane
All plane problems reduce to finding a point and a normal vector
Distance from a point to a plane
12.6 Cylinders and Quadratic Surface
Definition of a trace
Definition of a cylinder
Quadratic surfaces
June 22 - notes
12.4 Cross Product
Computational definition of cross product
Intuitive definition of cross product
Basic properties
Torque as a cross product
12.5 Equation of lines and planes
Defining data of a line (2 points or a point and direction)
Vector equation of a line
Parametric equation of a line
Symmetric equation of a line
Conversations between all forms
Skew, parallel, intersecting lines
June 20 - notes
12.2 Vectors
Equation of sphere
12.3 Dot product
Definition of dot product
Basic properties
Dot product as information about angles
Projection, components
Work as a dot product
June 18 - notes
12.1 Coordinate System
Graphs in 3d
Distance formula
12.2 Vectors
Definition of a vector
Addition, scalar multiplication,
length, normalization