Lecture 1 - Course Info and Intro

MATH2400

Introduction

Topics Covered

1. Absolute Values
2. Sequences ($1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\dots$)
3. Series ($\frac{1}{2^2},\frac{1}{3^2},\frac{1}{4^2},\frac{1}{5^2},\cdots \to \frac{{\pi }^2}{6}$)
4. Limits of functions (${\lim }_{x\to 0}{x}^2+1=1$)
5. Continuity
6. Intermediate Value Theorem (IVP) & Extreme Value Theorem (EVP)
7. Differentiation
8. Integration
9. Sequence of Functions ($1,1-x,1-x+\frac{x^2}{2},1-x+\frac{x^2}{2}+\frac{x^3}{3}$)
10. Taylor Series
11. Multivariable Functions
12. Multivariable differentiation
13. Inverse Function Theorem (IFT)Lecture 1 - Limits and Continuity