Mathematics 22
- Linear Transformations, Null Space, and Image
- Linear Dependence and Independence, Bases and Dimension
- Vector Spaces, Subspaces, and Matrices
- Inner Product and Norm
- Vectors and Linear Combinations
- Method of Undetermined Coefficients
- Nonhomogeneous Linear ODEs of Second Order
- The Wronskian, Existence and Uniqueness of Solutions
- Euler-Cauchy Equation
- Testing for Convergence or Divergence of a Series
- Sequences and Series
- Homogeneous Linear ODEs of Second Order with Constant Coefficients
- Homogeneous Linear ODEs of Second Order
- Harmonic Addition Theorem
- Product-to-Sum and Sum-to-Product Identities
- Multiple-Angle and Half-Angle Formulas
- Addition Formulas for Trigonometric Functions
- Bernoulli Equation
- Solution of First-Order Linear ODEs
- Exact Differential Equations and Integrating Factors
- Separation of Variables
- Basic Concepts of Modeling