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Edexcel IAL Pure Mathematics 2: Revision Notes (Calculus and Related Topics)

학습 가이드 - 영상으로 배우기

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Sequences

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

Series

  • 가이드 코스
    Intro to Series: Partial Sums
    06:45
  • 가이드 코스
    Intro to Series: Partial Sums Example 1
    04:33
  • 가이드 코스
    Geometric Series
    06:00

Convergence Tests

  • 가이드 코스
    Ratio Test
    05:35
  • 가이드 코스
    Direct Comparison Test
    09:25
  • 가이드 코스
     Ratio Test Example 1
    10:07

Introduction to Functions

  • 가이드 코스
    Relations and Functions
    5:20
  • Introduction to Calculus Channel
    1:36
  • 가이드 코스
    Finding the Domain and Range of a Graph
    5:10

Properties of Functions

  • 가이드 코스
    Properties of Functions
    06:21

Common Functions

  • Properties of Parabolas
    7:42
  • Graphing Logarithmic Functions Example 1
    4:30
  • Logarithms Introduction
    7:30

Trigonometric Identities

  • Verifying Trig Equations as Identities
    7:17
  • Simplifying Trig Expressions
    6:36
  • Simplifying Trig Expressions Example 2
    5:18

Introduction to Trigonometric Functions

  • Trig Values in Quadrants II, III, & IV Example 1
    3:03
  • Trig Values in Quadrants II, III, & IV Example 2
    8:22
  • 가이드 코스
    Introduction to Trigonometric Functions
    6:04

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

Continuity

  • Intro to Continuity
    05:34
  • Intro to Continuity Example 2
    00:57
  • Determine Continuity Algebraically
    05:25

Intro to Extrema

  • Finding Extrema Graphically Example 1
    04:45
  • Finding Extrema Graphically Example 2
    02:46
  • Finding Extrema Graphically
    05:58

The First Derivative Test

  • The First Derivative Test: Finding Local Extrema Example 3
    11:22
  • The First Derivative Test: Finding Local Extrema Example 2
    04:00
  • The First Derivative Test: Finding Local Extrema Example 4
    05:00

Concavity

  • Determining Concavity Given a Function Example 3
    02:33
  • Determining Concavity from the Graph of f' or f''
    03:56
  • Determining Concavity Given A Function Example 2
    6:08

The Second Derivative Test

  • The Second Derivative Test: Finding Local Extrema
    06:02
  • The Second Derivative Test: Finding Local Extrema Example 1
    05:34

Curve Sketching

  • Summary of Curve Sketching
    11:41
  • Summary of Curve Sketching Example 3
    06:22
  • Summary of Curve Sketching Example 1
    13:20

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49

Riemann Sums

  • 가이드 코스
    Sigma Notation
    04:22
  • 가이드 코스
    Introduction to Riemann Sums
    06:11
  • 가이드 코스
    Sigma Notation Example 1
    03:05

Introduction to Definite Integrals

  • 가이드 코스
    Basic Rules for Definite Integrals
    06:07
  • 가이드 코스
    Definition of the Definite Integral
    05:43