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MAC 2312 Calculus II Syllabus and Study Guide

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Substitution

  • Indefinite Integrals Example 1
    04:40
  • Substitution With an Extra Variable
    04:27
  • Definite Integrals
    06:36

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

Area Between Curves

  • Finding Area Between Curves on a Given Interval
    05:23
  • Finding Area When Bounds Are Not Given
    05:06
  • Finding Area Between Curves that Cross on the Interval Example 2
    06:21

Introduction to Volume & Disk Method

  • Finding Volume Using Disks Example 3
    04:53
  • Disk Method Using y-Axis Example 5
    02:27
  • Introduction to Cross Sections
    05:38

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

Integrals of Trig Functions

  • Percorso guidato
    Integrals Resulting in Basic Trig Functions
    05:28
  • Percorso guidato
    Integrals Resulting in Basic Trig Functions Example 1
    04:22

Partial Fractions

  • Percorso guidato
    Integration Using Partial Fractions
    08:01
  • Percorso guidato
    Partial Fraction Decomposition: Repeated Linear Factors Example 5
    12:27
  • Percorso guidato
    Partial Fraction Decomposition: Distinct Linear Factors with Shortcut
    07:24

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

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