Info Dump of Topics

This list was imported from the old index file, it was originally designed to be a file that would link to every other file but with the addition of Obsidian linking and searching became easier and the need for an extensive index/glossary file diminished.

Calculus

ME 2004 - Calculus Overview - a basic rundown of major calculus topics
Calculus 1 - Class Notes - A provided copy of all topics covered in Calculus 1
Calculus 2 - Class Notes - Written by the same prof as above for a different university
Diff-rules - Differentiation and Integration rules from pre-calculus
- Power Rule - differentiate and integrate a variable with an exponent
- Chain Rule - a fairly important differentiation rule
Differentiation - the slope of a graph
- Difference Types - derivative approximation method
Integration - the area under a graph
- Trapezoidal Rule - a method to approximate an integral
- Simpsons Rules - another, more accurate, method to approximate an integral
Root Finding - where the graph crosses 0
- Newton-Rhapson Method - A method for approximating the root
Graphs of Quadratic Surfaces - Examples of quadratic surfaces and their names

Linear Algebra

Glossary of Linear Algebra - Glossary of linear algebra terms
ME 2004 - Linear Algebra Overview - a basic rundown of major linear algebra topics
Linear Algebra Class Notes - Written by the same prof. as the calculus class notes.
Matrix Operations
- Dot Products - Multiplying two vectors
- Basic Matrix Operations, 1-4 - Adding/Multiplying by constants
- Matrix-Vector Products, 1-4 - Multiplying a matrix and vector
- Elementary Row Operations, 2-1 - Elementary Row Operations
Matrix Concepts
- Identity Matrix, 1-4
- Linear Independence, 2-4
- Matrix Span, 2-3
- Homogeneous Linear Systems - Definition of a Homogeneous System
- Inverse Matrices, 3-1 - The inverse of a matrix
- Eigenvalues and Eigenvectors - Vectors when multiplied by a matrix equal a scalar multiple of themselves
Matrix Forms and Ideas
- Augmented and Row Echelon, 2-1
  - Augmented Matrix Format
  - Row Echelon Matrix Form
- Matrix Rank, 2-2 - Definition of Matrix Rank
- Reduced Row Echelon From, 2-2 - RREF Matrix Form
Solving systems of equations using Matrices
- Gauss-Reduction, 2-2 - Regular Row Reduction
  - Interactive Row Reduction - A helpful website to preform row reduction
  - Gauss-Jordan Method, 2-2 - A method to solve a matrix
- Gauss-Seidel Method - Another method to solve a matrix
- Inconsistent Linear System, 2-1 - An example of an unsolvable matrix
Other uses of Matrices
- Curve Fitting, 2-1 - How to fit a curve using linear algebra
Miscellaneous
- Partial Fraction Decomposition Examples - Collin College - Orginial