Calculus 1 2021
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Last updated 8/2022
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 28.29 GB | Duration: 27h 57m
Learn integral and differential calculus from basic to advanced level
Last updated 8/2022
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 28.29 GB | Duration: 27h 57m
Learn integral and differential calculus from basic to advanced level
Learn integral and differential calculus from basic to advanced level
What you'll learn
Limits and continuity, derivatives, definite and indefinite integrals, conic sections, plane curve I and II, three dimensional coordinates system
Various proof of theorems and formula.
Differential equations and their applications.
A complete calculus encyclopedia.
Graphical explanations and geometrical interpretations of various topics
Pre calculus, basic calculus and advance calculus (encyclopedia)
Thousands of examples and exercises have been used to make the contents easy.
Requirements
Since it is complete calculus encyclopedia, so any student who is interested to learn calculus, can take this course.
Description
When trying to explain why it's worth mastering calculus 1, people often call it the language of science. It's true – you can define pretty much anything in numbers and equations in master calculus, be it in the fields of chemistry, physics, data science, machine learning, deep learning, and artificial intelligence or biology. However, it's not that simple to get the master calculus down, as it's not quite a single discipline. There are a lot of areas that relate to a different phenomenon. For example, if study mathematics then, geometry teaches us about shapes, algebra explains the mathematical symbols and how to use them. Calculus, in turn, stands for the study of continuous change.What exactly is calculus, and where can you use it?The name of calculus comes from a Latin word meaning a tiny pebble, as they were used for calculation in ancient times. It helps you find patterns between mathematical equations. This simplifies the tasks that include using functions involving one or multiple variables. Not only does calculus and analytic geometry are great exercise for your brain, but it also has numerous practical applications, including:PhysicsStatisticsEngineeringBusinessEconomicsand any field where creating a mathematical model can help reach the solutionIf you haven't learned calculus at school or simply want to get ahead of the curriculum, we've got good news for you – you can quickly learn calculus online! Guided by a professional lecturer, you will save time, get familiar with the most crucial concepts, and gain valuable skills in just a few hours.This online calculus course is also an excellent option for those who have the basics of calculus down but wish to refresh and strengthen their knowledge. Following explanations and practical examples, you will brush up on your skills in no time!Choose the online calculus course prepared by the best!When you decide to learn calculus online, you face one more problem: how do you choose a course that doesn't take dozens of hours and contains all the vital information? How do you find the balance between theory and practical use? Simply said, how do you choose the best tutorial from all the choices available to you on the Internet?The most important advantage of choosing an online calculus course over face-to-face lectures is being able to select the best teachers: the boundaries of time and location do not exist on the Internet. In this course, you will learn calculus and analytic geometry from a true master! The lectures in this online calculus course have been prepared by the one and only Ad Chauhdry, who has a master's degree in mathematics and over fifteen years of experience teaching at universities. Apart from lecturing, he's also a mathematics researcher and a published author of scientific articles in several journals.In forty-two lectures, Ad Chauhdry explains everything you need to know to master calculus and illustrated the concepts with practical examples in whiteboard demonstrations. As of now, he has taught thousands of people all around the world – both online and offline. With this online calculus course, you can become one of them! Start learning now and become a master of calculus today!This course is a complete calculus encyclopedia. It is the longest course from any calculus course on udemy. There are more than 10 sections in this course and each section has bundles of videos lectures on calculus and its applications. The contents of the course focus onLimits and continuity. Derivatives. Definite and indefinite integrals. Conic sections. Plane curve 1 and plane curve 2. Three-dimensional coordinates system.Partial differentiation. Multiples integrals.Differential equations.Limits and Continuity: In the first section of the course, the students will learn about limits and continuity and their application along with a number of exercises and examples.Differentiation:In this section, the students will get familiar with derivatives and geometrical interpretation of derivatives along with various exercises and examples.Techniques of Integration:This section is organized with various techniques of integration in indefinite integral.Conic Sections:Drawing and sketching and solving of problems of plane geometry of, Parabola and all planes figures. Example Problems of Parabola, derivation of ellipse Equation, ellipse examples, derivation of hyperbola equation,Problems and exercise of hyperbola, graphical explanation of parabola, ellipse, and hyperbola. Focus, vertex, directrix, and eccentricity of parabola, center, foci, vertices, directrix, and latus rectum of the ellipse. I have described the center, vertices, foci, and equation of joint asymptotic of the hyperbola Plane Curve I and IIThe asymptote of a curve.Maxima and minima of a function.Orthogonal trajectories of curves.Solution of curves like cardioid and cycloid etc.Three Dimensional Coordinates System Slopes.Slopes intercept form.Point intercept form.Spherical polar coordinates.Cylindrical coordinates.Paraboloid.Hyperboloid.Ellipsoid.Cycloid.Partial Differentiationdefinitions.Proofs.Examples and exercises.Multiples IntegralsHow to solve the double and multiple Integrals.How to find the limits in doubles and multiple integrals.How to find the area and volume by using the double and multiple integrals.Many examples and exercises.MONEY-BACK GUARANTEEIt is not like that I have wasted the time anywhere in the course. I am giving you genuine course content presentations. So I promise you that you will not waste your money. Also, Udemy has a 30-day money-back guarantee and if you feel that the course is not like what you were looking for, then you can take your money back.WHAT PEOPLE ASK ABOUT MY COURSESHere are some reviews of my courses by the students.1- Brava Man: Superb course!!The instructor is very knowledgeable and presents the Quantum Physics concepts in a detailed and methodical way.We walked through aspects like doing research and implementation via examples that we can follow in addition, to actual mathematical problems we are presented to solve.2- Manokaran Masikova: This is a good course to learn about quantum mechanics from basic and he explained with example to understand the concept.3- Dr. B Baskaran: very nice to participate in the course and very much interesting and useful also.4- Mashrur Bhuiyan: Well currently I am an Engineering student and I forgot the basics of my calculus. but this course helped me to get a good understanding of differentiation and integration. Overall all of the teaching methods are good.5- Kaleem Ul Haq: Really great explanations and each step has been explained well. I am enjoying this course. He is a familiar instructor in calculus. I have seen many lectures of this instructor before taking this course. HOPE YOU WILL JOIN ME IN THIS COURSE
Overview
Section 1: Introduction
Lecture 1 What is Function?
Lecture 2 Defining Limit of a Function
Lecture 3 Examples and Exercises + Complex numbers system
Section 2: Limit and Continuity and Related Exercises and Proofs (Revised)
Lecture 4 Limit Example 1
Lecture 5 Limit Example 2
Lecture 6 Limit Example 3
Lecture 7 Limit Example 4
Lecture 8 Limit Example 6
Lecture 9 Limit Example 5
Lecture 10 Limit Example 7
Lecture 11 Limit Example 8
Lecture 12 Limit Example 9
Lecture 13 Limit Example 10
Lecture 14 Limit Example 11
Lecture 15 Limit Example 12
Lecture 16 Limit Example 13
Lecture 17 Limit Example 14
Lecture 18 Limit Example 15
Lecture 19 Limit Example 16
Lecture 20 Limit Example 17
Lecture 21 Limit Example 18
Lecture 22 Limit Example 19
Lecture 23 Limit Example 20
Lecture 24 Limit Example 21
Lecture 25 Continuity Example 1
Lecture 26 Continuity Example 2
Lecture 27 Continuity Example 3
Lecture 28 Continuity Example 4
Lecture 29 Continuity Example 5
Lecture 30 Continuity Example 6
Lecture 31 Continuity Example 7
Lecture 32 Continuity Example 8
Lecture 33 Continuity Example 9
Lecture 34 Continuity Example 10
Lecture 35 Continuity Example 11
Lecture 36 Continuity Example 12
Lecture 37 Continuity Example 13
Lecture 38 Continuity Example 14
Lecture 39 Continuity Example 15
Lecture 40 Continuity Example 17
Lecture 41 Continuity Example 18
Lecture 42 Continuity Example 18
Lecture 43 Continuity Example 19
Lecture 44 Continuity Example 20
Lecture 45 Continuity Example 21
Lecture 46 Continuity Example 22
Lecture 47 Continuity Example 23
Lecture 48 Continuity Example 24
Lecture 49 Continuity Example 26
Lecture 50 Continuity Example 27
Lecture 51 Continuity Example 28
Section 3: Derivatives
Lecture 52 Derivative by Power Rule
Lecture 53 Exercise Question Derivatives 1
Lecture 54 Exercise Question Derivatives 2
Lecture 55 Exercise Question Derivatives 3
Lecture 56 Exercise Question Derivatives 4
Lecture 57 Exercise Question Derivatives 5
Lecture 58 Exercise Question Derivatives 6
Lecture 59 Exercise Question Derivatives 7
Lecture 60 Exercise Question Derivatives 8
Lecture 61 Exercise Question Derivatives 9
Lecture 62 Exercise Question Derivatives 10
Lecture 63 Exercise Question Derivatives 11
Lecture 64 Exercise Question Derivatives 12
Lecture 65 Exercise Question Derivatives 13
Lecture 66 Exercise Question Derivatives 14
Lecture 67 Exercise Question Derivatives 15
Lecture 68 Exercise Question Derivatives 16
Lecture 69 Exercise Question Derivatives 17
Lecture 70 Exercise Question Derivatives 18
Lecture 71 Exercise Question Derivatives 19
Lecture 72 Exercise Question Derivatives 20
Lecture 73 Exercise Question Derivatives 21
Lecture 74 Exercise Question Derivatives 22
Lecture 75 Exercise Question Derivatives 23
Lecture 76 Exercise Question Derivatives 24
Lecture 77 Exercise Question Derivatives 25
Lecture 78 Exercise Question Derivatives 26
Lecture 79 Exercise Question Derivatives 27
Lecture 80 Exercise Question Derivatives 28
Lecture 81 Exercise Question Derivatives 29
Lecture 82 Exercise Question Derivatives 30
Lecture 83 Exercise Question Derivatives 31
Lecture 84 Exercise Question Derivatives 32
Section 4: nth Derivatives and Leibniz's Rule
Lecture 85 First, Second, and Third Derivatives
Lecture 86 nth Derivatives
Lecture 87 nth Derivatives Corollary
Lecture 88 nth Derivatives Formula
Lecture 89 nth Derivatives Example 1
Lecture 90 nth Derivatives Example 2
Lecture 91 nth Derivatives and Leibniz Rule
Lecture 92 nth Derivatives and Leibniz Rule
Lecture 93 nth Derivatives and Leibniz Rule
Lecture 94 nth Derivatives and Leibniz Rule
Lecture 95 nth Derivatives and Leibniz Rule example 2
Lecture 96 nth Derivatives and Leibniz Rule Example 3
Lecture 97 nth Derivatives and Leibniz Rule Exercise 1
Lecture 98 nth Derivatives and Leibniz Rule Exercise 2
Lecture 99 nth Derivatives and Leibniz Rule Exercise 3
Lecture 100 nth Derivatives and Leibniz Rule Exercise 3
Lecture 101 nth Derivatives and Leibniz Rule Exercise 1
Lecture 102 nth Derivatives and Leibniz Rule example 2
Lecture 103 nth Derivatives and Leibniz Rule Exercise 1
Lecture 104 nth Derivatives and Leibniz Rule Exercise
Lecture 105 nth Derivatives and Leibniz Rule Exercise
Lecture 106 nth Derivatives and Leibniz Rule Exercise
Lecture 107 nth Derivatives and Leibniz Rule Exercise
Lecture 108 nth Derivatives and Leibniz Rule Exercise
Lecture 109 nth Derivatives and Leibniz Rule Exercise
Lecture 110 nth Derivatives and Leibniz Rule Exercise
Lecture 111 nth Derivatives and Leibniz Rule Exercise
Lecture 112 nth Derivatives and Leibniz Rule Exercise
Section 5: Functions of Several Variables
Lecture 113 Functions of Several Variables
Lecture 114 Limits of Functions of Several Variables
Lecture 115 Implicit Functions
Lecture 116 Partial Derivatives
Lecture 117 Functions of Several Variables Exercise 1
Lecture 118 Functions of Several Variables Exercise 2
Lecture 119 Functions of Several Variables Exercise 3
Lecture 120 Functions of Several Variables Exercise 4
Lecture 121 Functions of Several Variables Exercise 5
Lecture 122 Functions of Several Variables Exercise 6
Lecture 123 Functions of Several Variables Exercise 7
Lecture 124 Functions of Several Variables Exercise 8
Lecture 125 Functions of Several Variables Exercise 8 (b)
Lecture 126 Functions of Several Variables Exercise 9
Lecture 127 Functions of Several Variables Exercise 10
Lecture 128 Functions of Several Variables Exercise 11
Lecture 129 Functions of Several Variables Exercise 12
Lecture 130 Functions of Several Variables Exercise 13
Lecture 131 Functions of Several Variables Exercise 14
Lecture 132 Functions of Several Variables Exercise 15
Lecture 133 Functions of Several Variables Exercise 16
Lecture 134 Functions of Several Variables Exercise 17
Lecture 135 Functions of Several Variables Exercise 18
Lecture 136 Functions of Several Variables Exercise 19
Lecture 137 Functions of Several Variables Exercise 20
Lecture 138 Functions of Several Variables Exercise 21
Lecture 139 Functions of Several Variables Exercise 21b
Lecture 140 Functions of Several Variables Exercise 22
Lecture 141 Functions of Several Variables Exercise 23
Lecture 142 Functions of Several Variables Exercise 24
Lecture 143 Partial Derivatives Exercise 25
Lecture 144 Partial Derivatives Exercise 26
Lecture 145 Partial Derivatives Exercise 27
Lecture 146 Partial Derivatives Exercise 28
Lecture 147 Partial Derivatives Exercise 29
Lecture 148 Partial Derivatives Exercise 30
Lecture 149 Partial Derivatives Exercise 31
Lecture 150 Partial Derivatives Exercise 33b
Lecture 151 Partial Derivatives Exercise 32
Lecture 152 Partial Derivatives Exercise 33
Lecture 153 Partial Derivatives Exercise 34
Lecture 154 Partial Derivatives 35
Lecture 155 Partial Derivatives 36
Lecture 156 Partial Derivatives 37
Lecture 157 Partial Derivatives 38
Lecture 158 Partial Derivatives 39
Section 6: Roll's and Mean Value Theorem
Lecture 159 Proof of Roll's Theorem
Lecture 160 Proof of Mean Value Theorem
Lecture 161 Mean Value Theorem Exercise 2
Lecture 162 Mean Value Theorem Exercise 3
Lecture 163 Mean Value Theorem Exercise 4
Lecture 164 Mean Value Theorem Exercise 5
Lecture 165 Mean Value Theorem Exercise 6
Lecture 166 Mean Value Theorem Exercise 7
Section 7: Taylor's and Maclaurin's Series
Lecture 167 Taylor's Theorem
Lecture 168 Maclaurin's Series
Lecture 169 Applications of Maclaurin's Series
Section 8: Indeterminate Form
Lecture 170 0/0 Form and L Hospital Rule
Lecture 171 0/0 Form and L Hospital Rule Exercise 1
Lecture 172 0/0 Form and L Hospital Rule Exercise 2
Lecture 173 0/0 Form and L Hospital Rule Exercise 3
Lecture 174 0/0 Form and L Hospital Rule Exercise 4
Lecture 175 0/0 Form and L Hospital Rule Exercise 5
Lecture 176 0/0 Form and L Hospital Rule Exercise 6
Lecture 177 0/0 Form and L Hospital Rule Exercise 7
Lecture 178 0/0 Form and L Hospital Rule Exercise 8
Lecture 179 0/0 Form and L Hospital Rule Exercise 9
Lecture 180 0/0 Form and L Hospital Rule Exercise 10
Lecture 181 0/0 Form and L Hospital Rule Exercise 10
Lecture 182 0/0 Form and L Hospital Rule Exercise 10
Lecture 183 0/0 Form and L Hospital Rule Exercise 11
Lecture 184 0/0 Form and L Hospital Rule Exercise 12
Lecture 185 0/0 Form and L Hospital Rule Exercise 13
Lecture 186 0/0 Form and L Hospital Rule Exercise 14
Lecture 187 0/0 Form and L Hospital Rule Exercise 15
Lecture 188 0/0 Form and L Hospital Rule Exercise 16
Lecture 189 0/0 Form and L Hospital Rule Exercise 17
Section 9: Indefinite Integral
Lecture 190 Integration Formule
Lecture 191 Integration by Formula
Lecture 192 Integration by Substitution
Lecture 193 Integration by Parts
Section 10: Conic Sections
Lecture 194 Definition of Cone
Lecture 195 Parabola
Lecture 196 Parabola problem
Lecture 197 Parabola Problem
Lecture 198 Ellipse
Lecture 199 Ellipse Problem
Lecture 200 Ellipse Problem
Lecture 201 Hyperbola
Lecture 202 Hyperbola exercise
Lecture 203 Hyperbola exercise
Lecture 204 Conic sections graphs
Section 11: sequences and Series (Basics)
Lecture 205 What is a Sequence?
Lecture 206 Sequences Lecture 2
Students of mathematics, sciences, engineering and all other disciplines where calculus is applicable.
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