## This Semester's Piazza

## The Plug and Chug Series Videos

- (UPDATED 2020) - Introduction to the Math 240 Plug and Chug Series
- The Plug and Chug Series OneNote Notebook for Math 240 (download and open, must have OneNote)

- Systems of Equations Part 1
- Systems of Equations Part 2
- Rank and Dealing with Unknown Matrix Entries
- Inverse Matrices
- Determinants - Row Reduction
- Determinants - Cofactor Expansion
- Determinants - Block Matrices
- Determinant of a Matrix of Unknowns
- Determinants and Invertibility
- 4.2: Vector Spaces Part 1
- 4.2: Vector Spaces Part 2
- 4.3: Subspaces
- 4.4: Show that a Set Spans
- 4.4: Find a Spanning Set
- 4.4: Find the Span of a Set
- 4.4: Determine if a Vector lies in the Span of a Set
- 4.5: Linear Independence Part 1
- 4.5: Linear Independence Part 2
- 4.6: Bases and Dimension
- 4.6: Difficult Basis of a Subspace Problem
- 4.7: Change of Basis Part 1
- 4.7: Change of Basis Part 2
- 4.9: Rank Nullity Theorem
- 4.9: General Solution of a System of Equations
- Showing a Map is a Linear Transformation
- Showing a Map is NOT a Linear Transformation
- Matrix of a Linear Transformation Part 1
- Matrix of a Linear Transformation Part 2
- Matrix of a Linear Transformation Part 3 (Linear Transformation + Change of Basis)
- 7.1: Eigenvalues and Eigenvectors
- 7.3: Diagonalization
- 7.4: Matrix Exponential
- 7.6: Jordan Canonical Form Part 1
- 7.6: Jordan Canonical Form Part 2
- 7.6: Matrix Exponential of a Defective Matrix
- Chp 7 Extra: Matrix Powers
- Chp 7 Extra: Matrix Exponential with Complex Eigenvalues
- 8.1 - 8.2: Linear Homogeneous ODEs
- 8.3: Method of Undetermined Coefficients (Annihilators)
- 8.4: Complex Value Trial
- 8.7: Variation of Parameters
- 8.8: Cauchy Euler Homogeneous
- 8.8: Cauchy Euler Inhomogeneous (Variation of Parameters + Reduction of Order)
- 8.9: Reduction of Order w/Integration Factor