Ivan Li

This Semester's Piazza

The Plug and Chug Series Videos

• 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)

Chapter 2 - Matrices

• Systems of Equations Part 1
• Systems of Equations Part 2
• Rank and Dealing with Unknown Matrix Entries
• Inverse Matrices

Chapter 3 - Determinants

• Determinants - Row Reduction
• Determinants - Cofactor Expansion
• Determinants - Block Matrices
• Determinant of a Matrix of Unknowns
• Determinants and Invertibility

Chapter 4 - Vector Spaces

• 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

Chapter 6 - Linear Transformations

• 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)

Chapter 7 - Eigenvalues and Eigenvectors

• 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
  • Addendum - Complex Eigenvectors

Chapter 8 - Differential Equations

• 8.1 - 8.2: Linear Homogeneous ODEs
• 8.3: Method of Undetermined Coefficients (Annihilators)
  • Addendum - Case with Multiplicity
• 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

Chapter 9 - Systems of Differential Equations

• Intro to Systems of Diff Eqs
• Systems of Diff Eqs Part 1
• Systems of Diff Eqs Part 2
• Systems of Diff Eqs Part 3
• Systems with Initial Value Conditions
  • Addendum - Another Method w/ Initial Value Conditions
• Linear Systems
• Nonlinear Systems

Graded HW Problems

Homework 1: Solutions to graded HW1 Problems

Homework 2: Solutions to graded HW2 Problems

Homework 3: Solutions to graded HW3 Problems

Homework 4: Solutions to graded HW4 Problems

Homework 5:

Homework 6: Solutions to graded HW6 Problems

Homework 7: Solutions to graded HW7 Problems

Homework 8: Solutions to graded HW8 Problems

Homework 9: Solutions to graded HW9 Problems

Homework 10: