- Видео 42
- Просмотров 29 110
CalculusGuide
Добавлен 23 июн 2023
This channel provides a lecture series and tutorials on calculus. It is aimed at the late secondary school and undergraduate university level. It seeks to provide clear and simple explanations of topics, and useful examples and applications. Please subscribe to this channel if you find this content useful.
I am available to provide private tuition in calculus. To schedule a lesson, please use one of the following links:
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We can have a free video chat regarding a lesson plan before you commit to any lessons
I am available to provide private tuition in calculus. To schedule a lesson, please use one of the following links:
www.superprof.ie/experienced-math-tutor-and-scientist-who-makes-material-clear-and-accessible-relaxed-and-supportive-environment-masters-degree.html
www.gumtree.ie/meath/summerhill/services/tuition-classes/other-tuition-classes/maths-tutor-grinds-secondary-school-and-third-level-experienced-tutor-59074.html
We can have a free video chat regarding a lesson plan before you commit to any lessons
2.7 Proof of the Derivative Sum Rule
0:00 Introduction
0:06 The derivative sum rule
1:35 Proof of the derivative sum rule
In this video I explain the proof of the derivative sum rule.
If you would like to learn about limits, please watch the video linked below:
ruclips.net/video/Zx8a_IfDt1I/видео.html
0:06 The derivative sum rule
1:35 Proof of the derivative sum rule
In this video I explain the proof of the derivative sum rule.
If you would like to learn about limits, please watch the video linked below:
ruclips.net/video/Zx8a_IfDt1I/видео.html
Просмотров: 57
Видео
2.6 Proof of the Constant Multiple Differentiation Rule
Просмотров 55Месяц назад
0:00 Introduction 0:07 The constant multiple differentiation rule 1:16 Proof of the constant multiple differentiation rule In this video I explain the proof of the constant multiple differentiation rule. If you would like to learn about limits, please watch the video linked below: ruclips.net/video/Zx8a_IfDt1I/видео.html
2.5 Proof of the Constant Function Differentiation Rule
Просмотров 38Месяц назад
0:00 Introduction 0:08 The constant function differentiation rule 0:42 Proof of the constant function differentiation rule In this video I explain the proof of the constant function differentiation rule. If you would like to learn about limits, please watch the video linked below: ruclips.net/video/Zx8a_IfDt1I/видео.html
7.3 The Dot Product Explained
Просмотров 1102 месяца назад
0:00 Introduction 0:33 Definition of the dot product explained 2:14 Dot product example calculation 3:28 How to calculate the angle between two nonzero vectors 8:48 How to test whether two vectors are perpendicular 11:45 The properties of the dot product 12:47 Derivation of the equation for the angle between two nonzero vectors 22:14 Summary 22:43 End screen In this video I explain the dot prod...
7.2 How to Add and Subtract Vectors
Просмотров 282 месяца назад
0:00 Introduction 0:06 Vector addition demonstrated and explained geometrically 1:17 How to calculate the resultant vector, when adding two vectors expressed in component form 4:14 How to calculate the resultant vector, when adding two vectors expressed as linear combinations of i and j 5:50 Vector subtraction demonstrated and explained geometrically 6:57 How to calculate the resultant vector, ...
7.1 Introduction to Vectors
Просмотров 1233 месяца назад
0:00 Introduction 0:21 Scalars and vectors 3:53 Equal vectors 5:07 The standard position of a vector 5:43 The component form of a vector 8:05 The position vector 8:40 The length or magnitude of a vector 11:50 Vector addition 15:48 Multiplication of a vector by a scalar 20:50 The standard unit vectors i and j, and how to express a vector as a linear combination of i and j 23:50 The zero vector 2...
3.5 Concavity and Points of Inflection Explained | Applications of Derivatives
Просмотров 526 месяцев назад
0:00 Introduction 0:08 Concavity explained with examples 3:37 The definition of concavity explained 7:52 The second derivative test for concavity explained 12:28 Example problem and solution 1: Determining the concavity of a function 14:17 Example problem and solution 2: Determining the concavity of a function 16:01 Points of inflection explained 19:45 Summary In this video we explain concavity...
3.1 Critical Points and Extreme Values | Applications of Derivatives
Просмотров 2107 месяцев назад
In this video, we learn how to find the maximum and minimum values of a function, also known as extreme values. We explain absolute and local extreme values. We also explain critical points, and how these can be used to find extreme values. 0:00 Introduction 0:37 Maximum and minimum values explained (absolute and local) 6:13 Critical points explained 9:18 Example problem and solution: Finding a...
6.4 How to Calculate the Length of a Curve Explained | Applications of Integrals
Просмотров 4,7 тыс.7 месяцев назад
0:00 Introduction 0:42 The theory explained 8:52 Important requirements 9:24 Definition: The length of a smooth curve 9:59 Example Problem and Solution: Calculating the length of a curve 24:22 Summary 24:42 End screen In this video, we explain the theory and the method of how to calculate the length of a curve. We also demonstrate this calculation in an example problem and solution ruclips.net/...
6.3 How to Calculate Work Done by a Variable Force | Applications of Integrals
Просмотров 3288 месяцев назад
0:00 Introduction 0:28 How to calculate the work done by a constant force 1:51 How to calculate the work done by a variable force along a straight line 5:20 The theory behind the calculation explained 15:40 Example problem and solution demonstrated 18:39 Summary In this video, we learn how we can use integration to calculate the work done by a variable force along a line. We explain the theory ...
4.14 Integration by Substitution Explained
Просмотров 2399 месяцев назад
0:00 Introduction 1:10 The chain rule for differentiation 8:39 Connecting the chain rule with integration by substitution 15:41 The method of integration by substitution explained 19:13 Using the substitution method to evaluate definite integrals explained 20:27 First example problem and solution 29:09 Second example problem and solution: We introduce an additional step which is sometimes requi...
6.2 Calculating Volume by Rotation (Solids of Revolution, the Disk Method) Applications of Integrals
Просмотров 7610 месяцев назад
0:00 Introduction 1:12 Calculating volume by slicing: the method explained 3:48 Example problem and solution: calculating the volume of a pyramid using the method of slicing 10:59 Calculating volume by rotation: the theory explained (also known as the disk method, and calculating the volume of solids of revolution) 15:26 Calculating volume by rotation: the method explained 17:58 Example problem...
6.1 How to Calculate Volume with the Method of Slicing (Explained!) | Applications of Integrals
Просмотров 19610 месяцев назад
0:00 Introduction 1:07 The theory of the method of slicing explained 11:32 The main definition and equation 13:08 The four steps of the method 15:46 Example Problem and Solution: Calculating the volume of a solid using the method of slicing 22:08 Summary In this video, we explain the theory of the method of slicing for calculating the volume of a solid. We also demonstrate the method of slicing...
5.1 How to Learn the Fundamental Theorem of Calculus
Просмотров 11511 месяцев назад
In this video, I suggest material to study to assist with learning and understanding the Fundamental Theorem of Calculus. I also suggest a particular order to study it in. Video links to lecture videos: ruclips.net/video/pWHfkK7k2nY/видео.html ruclips.net/p/PLMNnpd665Ym_RW7l3_MmAinxfdeSjvLoY ruclips.net/p/PLMNnpd665Ym9-9qMvza4dwKL6rU4GbFOc ruclips.net/video/poJMJZTmYSk/видео.html ruclips.net/vi...
1.6 What's a Continuous Function?
Просмотров 30511 месяцев назад
0:00 Introduction 0:31 An initial description of continuous functions, with some examples 1:59 A description of discontinuity, with a removable discontinuity 3:16 Explaining a jump discontinuity 4:10 Beginning to define a continuous function 4:33 Explaining closed intervals 5:16 Explaining the domain and range of a function 6:21 Explaining the interior points and endpoints of a function 7:14 In...
4.13 Proof (explained!) of the Fundamental Theorem of Calculus, Part 2 (Integral Evaluation Theorem)
Просмотров 32211 месяцев назад
4.13 Proof (explained!) of the Fundamental Theorem of Calculus, Part 2 (Integral Evaluation Theorem)
4.12 The Fundamental Theorem of Calculus, Part 2 Explained (Integral Evaluation Theorem)
Просмотров 19011 месяцев назад
4.12 The Fundamental Theorem of Calculus, Part 2 Explained (Integral Evaluation Theorem)
4.11 Proof (explained!) of the Fundamental Theorem of Calculus, Part 1
Просмотров 271Год назад
4.11 Proof (explained!) of the Fundamental Theorem of Calculus, Part 1
4.10 The Fundamental Theorem of Calculus Part 1 Explained
Просмотров 457Год назад
4.10 The Fundamental Theorem of Calculus Part 1 Explained
4.9 Mean Value Theorem for Definite Integrals Explained
Просмотров 239Год назад
4.9 Mean Value Theorem for Definite Integrals Explained
Mean Value Theorem for Derivatives Explained
Просмотров 436Год назад
Mean Value Theorem for Derivatives Explained
4.8 Average (Mean) Value of a Function Explained
Просмотров 81Год назад
4.8 Average (Mean) Value of a Function Explained
4.6 Riemann Sums and Definite Integrals Explained
Просмотров 65Год назад
4.6 Riemann Sums and Definite Integrals Explained
4.5 Making Estimates Using Finite Sums Explained
Просмотров 53Год назад
4.5 Making Estimates Using Finite Sums Explained
4.4 Integration: Initial Value Problems Explained
Просмотров 90Год назад
4.4 Integration: Initial Value Problems Explained
4.3 Integration: Algebra Rules and Examples
Просмотров 88Год назад
4.3 Integration: Algebra Rules and Examples
Hello sir when you gonna start differential eq
Thank you for the great explanation!
Excellent
Cooll
Exellent information to answer the question " What this math is good for?". Thank you.
You need a better mic.
whilst technically correct, this would be very confusing for a new starter.Some graphing would be much more helpful showing a tangent to the curve at some point and the slope of the tangent is your derivative..QED
Hi, thank you for your feedback. I have introductory videos for new starters, and I have now added links in this video's description. This channel's videos are structured into sequential sections using video playlists on the CalculusGuide channel homepage :)
"Promosm" 💔
Any reason why second derivative gets a t^2?
A+
Please, I need more examples of differentiation for
Very helpful I took calculus about four times and never knew what it was until now
I promise you that this is entirely coincidental and I just now found your channel, but we have the exact same format in our videos.
👍 P r o m o s m