Course curriculum

  • 1

    Introduction

    • Introduction
  • 2

    Functions and Limits

    • Parametric Functions

    • Foundations of Limits

    • Rules for Limits

    • Limits and Infinity

    • Continuity

    • Formal Definition of Limits
  • 3

    Rules for Derivatives

    • Introduction to Derivatives

    • Limits Test

    • Rules for Derivatives

    • The Chain Rule

    • Derivatives for Trigonometric Functions

    • Implicit Differentiation

    • Exponentials, Logarithms, and Their Derivatives

    • Inverse Functions and Their Derivatives

    • Derivative Test
  • 4

    Applications of Derivatives

    • Related Rates

    • Extreme Values

    • Sketching Functions

    • Optimization

    • Indeterminate Forms and L'Hôpital's Rule

    • Mean Value Theorem and Approximation

    • Differentials, Rates of Change, and Root Finding
  • 5

    Antiderivatives and Areas

    • Antiderivatives

    • Areas Under Curves

    • Final Test
  • 6

    Sage

    • Sage