[Math] Week 03

Limit and Continuity

• Limit: Intro.
• Limit of Scalar Function
• Limit of Multi-Variable Func.
• Limit Laws of Multi-Variate Function and Limit Point
• Continuity and Contiguity
• Interval

Derivative (or Differentiation)

• Continuity and Differentiable
• Differentiation and Difference
• Key Rules of Differentiation
• Derivatives of Exponential and Logarithmic Functions
• Partial Derivatives
• Gradient
• Directional Derivative
• Chain Rule

Integral

• Integral and Fundamental Theorem of Calculus

Theorem

• Intermediate Value Theorem, Mean Value Theorem and Rolle’s Theorem