Unit 4

Intro

  • Integration is an important process of calculus that is closely related to differentiation.
  • There are methods and rules for solving definite and indefinite integrals, including the Fundamental Theorem of Calculus.

Unit 4 Podcast (coming soon)

4.1 Indefinite Integrals

    • Notation
    • Basic Rules
    • Long Division
    • Completing the Square

4.1.6 Integration of Vector-Valued Functions**

4.2 Differential Equations

    • Verifying Solutions
    • Finding General Solutions Using Separation of Variables
    • Particular Solutions using Initial Conditions

    • Sketching Slope Fields
    • Reasoning with Slope Fields

4.2.3 Euler's Method**

    • Approximating Solutions

4.3 Definite Integrals and Accumulation of Change

    • Summation Notation

    • Accumulation Functions
    • Connecting Area to Accumulation Functions

    • Properties