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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
Geometric Vectors
3.1.1 Geometric Vectors & Their Properties
3.1.2 Vector Addition & Scalar Multiplication
3.2.1 Further Properties of Vectors
3.3.1 Basis for Lines & Planes
3.3.2 Bases for Three Space
3.4.1 Linear Independence, Dimension & Basis
3.5.1 The Dot Product
3.5.2 The Cross Product
3.6.1 Lines & Planes in Space
3.6.2 Interactions of Lines & Planes
3.6.3 Euclidean n-space