Daniel An
Hi, I am Dr. Daniel An. I teach mathematics at SUNY Maritime College. I wanted to help people by putting some of the precalculus and calculus lectures online. Enjoy!
For differential equations, I wrote a free textbook, where many of the examples are based on the videos. Please visit:
http://bit.ly/diffeqbook
Also, the lectures are easily viewable as playlists here:
http://100worksheets.com/mathingsconsidered.html
Formula for Cubic Equation (Cardano's Formula)
Example Problem Linear Operators on finite vector spaces
Example problem Dimension of a subspace of the space of linear maps
Invertibility and Isomorphism of Vector Spaces
Matrix representation of a linear map
Example Using Fundamental Theorem of Linear Maps
The null space and range of a linear map
The vector space of linear maps
A formula for the dimension of sum of subspaces
Dimension of a vector space
Basis of a finite dimensional vector space
Example Show linearly dependent independent
Example Show a subspace is infinite dimensional
Example find linearly independent polynomials
Example Find the subspace for a direct sum
Example problem about span in a polynomial vector space
An easier way to show a subset is a subspace
Example problem find sum of subspaces as a hyperplane
Span of a list of vectors
Linear independence in a vector space
Example problem for direct sum of vector spaces
Direct sum of subspaces
Sum of subspaces
Subspaces of a vector space
Solution to a quiz problem in linear algebra
Proof of obvious things from vector space axiom
Examples of vector spaces
Introduction to abstract vector spaces
Example problem for matrix relative to two bases
Matrix of a linear map with respect to two bases