Calculas - Alagai Augusten

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Welcome to Calculus 1
Welcome to Calculus 1
Alagai Augusten
00:03:07
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1.1 Introduction to Limits
1.1 Introduction to Limits
Alagai Augusten
00:07:37
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1.2 Estimating Limits
1.2 Estimating Limits
Alagai Augusten
00:06:08
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1.3 Limits that Fail to Exist [01] - |x|/x
1.3 Limits that Fail to Exist [01] - |x|/x
Alagai Augusten
00:04:44
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1.3 Limit that Fails to Exist [02] - 1/x^2
1.3 Limit that Fails to Exist [02] - 1/x^2
Alagai Augusten
00:03:12
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1.3 Limits that Fail to Exist [03] - sin(1/x)
1.3 Limits that Fail to Exist [03] - sin(1/x)
Alagai Augusten
00:08:02
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1.4 Properties of LImits
1.4 Properties of LImits
Alagai Augusten
00:07:31
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1.5 Solving Limits [01] (Factoring)
1.5 Solving Limits [01] (Factoring)
Alagai Augusten
00:09:58
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1.5 Solving Limits [02] (Rationalization)
1.5 Solving Limits [02] (Rationalization)
Alagai Augusten
00:08:15
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1.5 Solving Limits [03] (Fractions)
1.5 Solving Limits [03] (Fractions)
Alagai Augusten
00:05:57
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1.6 Trig Limits [01] (1-cosx/x)
1.6 Trig Limits [01] (1-cosx/x)
Alagai Augusten
00:05:38
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1.6 Trig Limits [02] (tanx/x & sin3x/x)
1.6 Trig Limits [02] (tanx/x & sin3x/x)
Alagai Augusten
00:08:36
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1.7 Limit Definition - Epsilon Delta [01] (NEW)
1.7 Limit Definition - Epsilon Delta [01] (NEW)
Alagai Augusten
00:06:20
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1.7 Limit Definition - Epsilon Delta [02]
1.7 Limit Definition - Epsilon Delta [02]
Alagai Augusten
00:09:59
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1.7 Epsilon Delta Limit Definition [03] (example 1)
1.7 Epsilon Delta Limit Definition [03] (example 1)
Alagai Augusten
00:03:33
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1.7 Proving a Limit: x^2 = 4 (advanced)
1.7 Proving a Limit: x^2 = 4 (advanced)
Alagai Augusten
00:14:04
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1.8 One Sided Limits
1.8 One Sided Limits
Alagai Augusten
00:02:00
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1.8 One Sided Limit (example 1)
1.8 One Sided Limit (example 1)
Alagai Augusten
00:02:48
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1.8 Continuity
1.8 Continuity
Alagai Augusten
00:05:03
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1.8 Continuity (example 1)
1.8 Continuity (example 1)
Alagai Augusten
00:06:32
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1.6 Trig Limits [03] Proof of sinx/x
1.6 Trig Limits [03] Proof of sinx/x
Alagai Augusten
00:09:48
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1.9 Geometric Interpretation of sec(x) and tan(x)
1.9 Geometric Interpretation of sec(x) and tan(x)
Alagai Augusten
00:04:14
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1.9 Geometry of [1 - cos(x)/x]
1.9 Geometry of [1 - cos(x)/x]
Alagai Augusten
00:05:03
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1.9 Problem Solving [01]
1.9 Problem Solving [01]
Alagai Augusten
00:06:10
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1.9 Problem Solving [02]
1.9 Problem Solving [02]
Alagai Augusten
00:10:01
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2.1 - Definition of the Derivative
2.1 - Definition of the Derivative
Alagai Augusten
00:10:10
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2.1 Finding the Slope of a Tangent Line - Example 1
2.1 Finding the Slope of a Tangent Line - Example 1
Alagai Augusten
00:06:21
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2.1 Finding the Slope of Tangent Line - Example 2
2.1 Finding the Slope of Tangent Line - Example 2
Alagai Augusten
00:06:43
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2.1 Finding the Slope of a Tangent Line - Example 3
2.1 Finding the Slope of a Tangent Line - Example 3
Alagai Augusten
00:06:26
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2.2 Function vs. Derivative - Example 1
2.2 Function vs. Derivative - Example 1
Alagai Augusten
00:09:32
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2.2 Function vs. Derivative - Example 2
2.2 Function vs. Derivative - Example 2
Alagai Augusten
00:08:06
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2.2 Function vs. Derivative - Example 3
2.2 Function vs. Derivative - Example 3
Alagai Augusten
00:09:25
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2.3 Derivative of a Constant
2.3 Derivative of a Constant
Alagai Augusten
00:04:40
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2.3 Power Rule
2.3 Power Rule
Alagai Augusten
00:05:04
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2.4 Derivative of sin(x)
2.4 Derivative of sin(x)
Alagai Augusten
00:07:48
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2.4 Derivatives - Trig Functions
2.4 Derivatives - Trig Functions
Alagai Augusten
00:02:48
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2.5 Product Rule
2.5 Product Rule
Alagai Augusten
00:03:16
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2.6 Chain Rule (function notation)
2.6 Chain Rule (function notation)
Alagai Augusten
00:06:22
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2.6 Chain Rule (Leibniz notation)
2.6 Chain Rule (Leibniz notation)
Alagai Augusten
00:03:46
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2.6 Chain Rule - Example 1 - e^(2x)
2.6 Chain Rule - Example 1 - e^(2x)
Alagai Augusten
00:05:05
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2.6 Chain Rule - Example 2 - sin(x^2 + 1)
2.6 Chain Rule - Example 2 - sin(x^2 + 1)
Alagai Augusten
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2.6 Chain Rule - Example 3 - Advanced
2.6 Chain Rule - Example 3 - Advanced
Alagai Augusten
00:03:23
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2.7 Quotient Rule 01
2.7 Quotient Rule 01
Alagai Augusten
00:04:36
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2.7 Quotient Rule 02
2.7 Quotient Rule 02
Alagai Augusten
00:04:29
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2.8 Introduction to Implicit Differentiation
2.8 Introduction to Implicit Differentiation
Alagai Augusten
00:02:46
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2.8 Implicit Differentation (example 1)
2.8 Implicit Differentation (example 1)
Alagai Augusten
00:06:16
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2.8 Implicit Differentiation (example 2) - ln(x)
2.8 Implicit Differentiation (example 2) - ln(x)
Alagai Augusten
00:02:08
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2.8 Derivative of arcsin(x)
2.8 Derivative of arcsin(x)
Alagai Augusten
00:07:30
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2.8 Derivative of arcsec(x)
2.8 Derivative of arcsec(x)
Alagai Augusten
00:07:13
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2.9 Related Rates Introduction
2.9 Related Rates Introduction
Alagai Augusten
00:04:15
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2.9 Relates Rates Example 01 (Filling a Pool)
2.9 Relates Rates Example 01 (Filling a Pool)
Alagai Augusten
00:07:01
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2.9 Related Rates Example 02 (Filling a Trough)
2.9 Related Rates Example 02 (Filling a Trough)
Alagai Augusten
00:09:59
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2.9 Related Rates Example 03 (Security Laser Part 1)
2.9 Related Rates Example 03 (Security Laser Part 1)
Alagai Augusten
00:06:55
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2.9 Related Rates Example 03 (Security Laser Part 2)
2.9 Related Rates Example 03 (Security Laser Part 2)
Alagai Augusten
00:08:47
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2.9 Related Rates Example 04 (Man walking with his shadow)
2.9 Related Rates Example 04 (Man walking with his shadow)
Alagai Augusten
00:09:44
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3.1 Introduction to Extrema
3.1 Introduction to Extrema
Alagai Augusten
00:07:27
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3.1 Extrema Example
3.1 Extrema Example
Alagai Augusten
00:06:16
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3.1 Critical Numbers
3.1 Critical Numbers
Alagai Augusten
00:06:24
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3.2 Finding Critical Numbers [Example 1]
3.2 Finding Critical Numbers [Example 1]
Alagai Augusten
00:06:51
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3.2 Finding Critical Numbers [Example 2]
3.2 Finding Critical Numbers [Example 2]
Alagai Augusten
00:06:19
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3.2 Finding Critical Numbers [Example 3]
3.2 Finding Critical Numbers [Example 3]
Alagai Augusten
00:08:15
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3.2 Finding Critical Numbers [Example 4]
3.2 Finding Critical Numbers [Example 4]
Alagai Augusten
00:04:42
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3.2 Finding Critical Numbers [Example 5]
3.2 Finding Critical Numbers [Example 5]
Alagai Augusten
00:06:35
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3.3 Rolle's Theorem
3.3 Rolle's Theorem
Alagai Augusten
00:06:13
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3.3 Mean Value Theorem
3.3 Mean Value Theorem
Alagai Augusten
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3.3 Mean Value Thereom Example (prove a car was speeding)
3.3 Mean Value Thereom Example (prove a car was speeding)
Alagai Augusten
00:09:59
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3.4 First Derivative Test [Example 1]
3.4 First Derivative Test [Example 1]
Alagai Augusten
00:09:36
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3.4 First Derivative Test [Example 2] (Part 1)
3.4 First Derivative Test [Example 2] (Part 1)
Alagai Augusten
00:09:28
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3.4 First Derivative Test [Example 2] (Part 2)
3.4 First Derivative Test [Example 2] (Part 2)
Alagai Augusten
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3.5 Introduction to Concavity
3.5 Introduction to Concavity
Alagai Augusten
00:06:30
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3.5 Concavity and the Second Derivative [1]
3.5 Concavity and the Second Derivative [1]
Alagai Augusten
00:07:45
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3.5 Inflection Points
3.5 Inflection Points
Alagai Augusten
00:02:02
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3.5 Concavity and the Second Derivative [2]
3.5 Concavity and the Second Derivative [2]
Alagai Augusten
00:09:50
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3.6 Optimization - Box with max volume (Part 1)
3.6 Optimization - Box with max volume (Part 1)
Alagai Augusten
00:09:53
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3.6 Optimization - Box with max volume (Part 2)
3.6 Optimization - Box with max volume (Part 2)
Alagai Augusten
00:09:47
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3.6 Optimization 02 (circle and square with maximum area)
3.6 Optimization 02 (circle and square with maximum area)
Alagai Augusten
00:10:01
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3.7 Linear Approximation
3.7 Linear Approximation
Alagai Augusten
00:07:55
78
4.1 Introduction to Antiderivatives
4.1 Introduction to Antiderivatives
Alagai Augusten
00:08:09
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4.1 Antiderivative Power Rule
4.1 Antiderivative Power Rule
Alagai Augusten
00:03:35
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4.1 Basic Properties of Antiderivatives
4.1 Basic Properties of Antiderivatives
Alagai Augusten
00:07:51
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4.1 Common Antiderivatives
4.1 Common Antiderivatives
Alagai Augusten
00:04:01
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4.2 Intro to Area Under a Curve
4.2 Intro to Area Under a Curve
Alagai Augusten
00:04:29
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Summation Formulas and Sigma Notation (Part 1) Notation
Summation Formulas and Sigma Notation (Part 1) Notation
Alagai Augusten
00:05:44
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Summation Formulas and Sigma Notation (Part 2) Formulas
Summation Formulas and Sigma Notation (Part 2) Formulas
Alagai Augusten
00:07:35
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Summation Formulas and Sigma Notation (Part 3) Advanced Properties
Summation Formulas and Sigma Notation (Part 3) Advanced Properties
Alagai Augusten
00:06:11
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Summation Formulas and Sigma Notation (Part 4) Examples
Summation Formulas and Sigma Notation (Part 4) Examples
Alagai Augusten
00:07:31
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4.2 Estimating the Area Under a Curve
4.2 Estimating the Area Under a Curve
Alagai Augusten
00:09:49
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4.3 Exact Area Under A Curve
4.3 Exact Area Under A Curve
Alagai Augusten
00:09:56
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4.3 Exact Area Under a Curve 02
4.3 Exact Area Under a Curve 02
Alagai Augusten
00:09:42
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4.3 Exact Area - Left Hand Sum
4.3 Exact Area - Left Hand Sum
Alagai Augusten
00:06:45
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4.3 Exact Area Under a Curve 3
4.3 Exact Area Under a Curve 3
Alagai Augusten
00:09:46
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4.4 Riemann Sum and the Definite Integral
4.4 Riemann Sum and the Definite Integral
Alagai Augusten
00:08:48
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4.5 First Fundamental Thereom of Calculus
4.5 First Fundamental Thereom of Calculus
Alagai Augusten
00:10:01
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4.5 First Fundamental Theorem of Calculus (Examples)
4.5 First Fundamental Theorem of Calculus (Examples)
Alagai Augusten
00:09:20
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4.6 Properties of Integrals
4.6 Properties of Integrals
Alagai Augusten
00:05:44
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4.6 Area Under the x-axis
4.6 Area Under the x-axis
Alagai Augusten
00:05:11
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4.6 Average Value of a Function
4.6 Average Value of a Function
Alagai Augusten
00:09:13
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5.1 Integration: Re-Writing an Integral - Ex.1
5.1 Integration: Re-Writing an Integral - Ex.1
Alagai Augusten
00:06:25
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5.1 Integration: Re-Writing an Integral - Ex.2
5.1 Integration: Re-Writing an Integral - Ex.2
Alagai Augusten
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5.1 Integration: Re-Writing an Integral - Ex.3
5.1 Integration: Re-Writing an Integral - Ex.3
Alagai Augusten
00:05:46
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5.2 Integration: U-Substitution - Ex.1
5.2 Integration: U-Substitution - Ex.1
Alagai Augusten
00:07:10
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5.2 Integration: U-Substitution - Ex.2
5.2 Integration: U-Substitution - Ex.2
Alagai Augusten
00:04:50
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5.2 Integration: U-Substitution - Ex.3
5.2 Integration: U-Substitution - Ex.3
Alagai Augusten
00:06:28
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5.2 Integration | U-Substitution - Ex. 4
5.2 Integration | U-Substitution - Ex. 4
Alagai Augusten
00:07:12
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5.2 Integration | U-Substitution - Ex. 5
5.2 Integration | U-Substitution - Ex. 5
Alagai Augusten
00:03:40
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5.2 Integration | U-Substitution - Ex.6
5.2 Integration | U-Substitution - Ex.6
Alagai Augusten
00:08:09
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5.3 Integration | Natural Log (ln) - Ex.1
5.3 Integration | Natural Log (ln) - Ex.1
Alagai Augusten
00:02:56
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5.3 Integration | Natural Log (ln) - Ex.2
5.3 Integration | Natural Log (ln) - Ex.2
Alagai Augusten
00:03:20
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5.3 Integration | Natural Log (ln) - Ex.3
5.3 Integration | Natural Log (ln) - Ex.3
Alagai Augusten
00:02:35
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5.3 Integration | Natural Log (ln) - Ex. 4
5.3 Integration | Natural Log (ln) - Ex. 4
Alagai Augusten
00:03:13
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5.4 Integration | Integral of secx
5.4 Integration | Integral of secx
Alagai Augusten
00:04:11
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5.4 Integration | Integral of tanx
5.4 Integration | Integral of tanx
Alagai Augusten
00:02:41

Welcome to Calculus 1

4 Bekeken· 25 Maart 2024
Alagai Augusten
Alagai Augusten
6 abonnees
6
In

http://www.rootmath.org | Calculus 1

An overview of the Calculus Course to come.

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