Calculus 1

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.