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Comprehensive Calculus II Study Guide: Differential Equations, Applications of Integration, Series, and Polar Coordinates

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Basics of Differential Equations

  • Verifying Solutions of Differential Equations Example 1
    03:17
  • Solutions to Basic Differential Equations Example 7
    02:50
  • Verifying Solutions of Differential Equations
    05:09

Separable Differential Equations

  • Newton's Law of Cooling
    10:44
  • Separation of Variables Example 1
    05:28
  • Solving Separable Differential Equations Example 2
    04:55

Work

  • Work Done On A Spring (Hooke's Law) Example 1
    06:02
  • Percorso guidato
    Pumping Liquids Example 5
    11:50
  • Percorso guidato
    Introduction To Work
    06:22

Introduction to Definite Integrals

  • Percorso guidato
    Basic Rules for Definite Integrals
    06:07
  • Percorso guidato
    Definition of the Definite Integral
    05:43

Fundamental Theorem of Calculus

  • Percorso guidato
    Fundamental Theorem of Calculus Part 2
    05:22
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1
    06:11
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1 Example1
    03:25

Integration by Parts

  • Percorso guidato
    Integration by Parts for Definite Integrals Example 7
    08:12
  • Percorso guidato
    Integration by Parts for Definite Integrals
    06:18
  • Percorso guidato
    Repeated Integration by Parts Example 3
    08:03

Improper Integrals

  • Percorso guidato
    Improper Integrals: Infinite Intervals Example 2
    04:06
  • Percorso guidato
    Improper Integrals: Infinite Intervals Example 1
    05:43
  • Percorso guidato
    Improper Integrals: Infinite Intervals
    11:11

Sequences

  • Recursive Formulas
    5:59
  • Arithmetic Sequences - General Formula Example 2
    7:00
  • Geometric Sequences - Recursive Formula
    04:18

Series

  • Percorso guidato
    Intro to Series: Partial Sums
    06:45
  • Percorso guidato
    Intro to Series: Partial Sums Example 1
    04:33
  • Percorso guidato
    Geometric Series
    06:00

Convergence Tests

  • Percorso guidato
    Ratio Test
    05:35
  • Percorso guidato
    Direct Comparison Test
    09:25
  • Percorso guidato
    Ratio Test Example 1
    10:07

Introduction to Power Series

  • Intro to Power Series Example 1
    03:17
  • Representing Functions as Power Series Example 8
    07:19
  • Intro to Power Series
    05:58

Taylor Series & Taylor Polynomials

  • Taylor Polynomials
    07:00
  • Taylor Series
    08:42
  • Convergence of Taylor & Maclaurin Series
    08:26

Parametric Equations

  • Parameterizing Equations
    08:02
  • Eliminate Parameter: Equations with Trig
    04:11
  • Eliminate Parameter: Equations with Trig Example 3
    04:39

Calculus with Parametric Curves

  • Percorso guidato
    Differentiation of Parametric Curves Example 2
    06:38
  • Percorso guidato
    Higher Order Derivatives of Parametric Curves
    06:40
  • Percorso guidato
    Arc Length of Parametric Curves
    06:29

Polar Coordinates

  • Convert Points from Polar to Rectangular
    06:17
  • Convert Points from Rectangular to Polar Example 1
    2:21
  • Convert Equations from Polar to Rectangular Example 2
    3:03

Calculus in Polar Coordinates

  • Percorso guidato
    Area of Polar Regions Example 2
    12:18
  • Percorso guidato
    Slope of Polar Curves
    09:04
  • Percorso guidato
    Slope of Polar Curves Example 1
    05:58