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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
Partial Derivatives
1.3.1 Partial Derivatives of f(x,y)
1.3.2 Partial Derivatives Examples for f(x,y)
1.3.3 Partial Derivatives for Functions of 3 or more Variables
1.3.4 Second Partial Derivatives & Clairaut’s Theorem
1.3.5 Higher Partial Derivatives
1.4.1 Tangent Planes
1.4.2 Linear Approximation
1.4.3 Differentials
1.5.1 The Chain Rule
1.5.2 The General Chain Rule
1.6.1 Directional Derivatives
1.7.1 Local Maximum & Minimums
1.7.2 The Second Derivative Test for f(x,y)
1.7.3 The Extreme Value Theorem for f(x,y)
1.8.1 Lagrange Multipliers