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Single Variable Calculus
Multivariable Calculus
Differential Equations
Functions of Several Variables & Their Limits
Partial Derivatives
Double Integrals
Triple Integrals
Vector Calculus
Linear Algebra I
Linear Systems of Equations
RECAP: Linear Systems of Equations
Matrices
Geometric Vectors
Vector Spaces & Linear Transformations
Mathematical Modelling
Discrete Time Models
Equilibrium & Stability
CORONAVIRUS Models
Matrices
2.1.1 Matrices: Introductory Definitions & Operations
2.1.2 Trace, Transpose, and Other Definitions
2.1.3 Matrix Addition & Scalar Multiplication
2.2.1 Matrix Multiplication
2.2.2 Properties of Matrix Multiplication
2.3.1 Identity Matrix & Inverse Matrices
2.3.2 Properties of Inverse Matrices
2.4.1 Determinants
2.4.2 Minors & Cofactor Expansion
2.4.3 Determinant Properties
2.4.4 More Determinant Properties
2.5.1 The Inverse Matrix Formula
2.5.2 Solving Linear Systems Using Inverses
2.6.1 Cramer’s Rule