Calculus I

Lecture1, Calculus Approach

Lecture2, Using Slopes

Lecture3, Calculating Slopes of Tangents

Lecture4, Derivative of a Function

Lecture5, Two Rules for Computing Derivatives

Lecture6, Two more rules for computing derivatives

Lecture7, Examples and Group Projects

Lecture8, More General Limits

Lecture9, More Derivatives

Lecture10, Formal Maxima or Minima

Lecture11, The chain Rule

Lecture12, Rates of Change

Lecture10, Antiderivatives

Lecture10, Approximations Using Differentials

Lecture11, Newton’s Method

 

Lecture13, Precise definition of a limit

Lecture14, Some properties of limits

Lecture15, Limit from below or above

Lecture13, Mean Value Theorem

Lecture18, Infinite Limits

Lecture19, Continuous Functions

Lecture22, The Chain Rule

Lecture23, Higher Order Derivatives

Lecture24, LHopitals Rule

Lecture25, Taylor Polynomials

Lecture26, Implicit Differentiation

Lecture27, Derivatives of Inverse Functions

Lecture28, Hyperbolic Functions

Lecture29, Inverse Hyperbolic Functions

Lecture30, Related Rates