Learn Basics of Calculus

Name: Learn Basics of Calculus
Rating: 4.6 (5 reviews)

Introduction to Limits and Derivatives

Created byDr. Humayun Baig Mirza

Last updated 10/2021

English

What you'll learn

In this course the students will learn about Introduction to limits and their applications along with Introduction to Derivatives with applications.
Objective of this course is to teach in a simple and easiest way so that every student can understand and pickup the concepts even if he has never studied mathe
The questions are practically demonstrated how they are solved.
By solving the questions the students how have fear that calculus is very difficult is removed, and they can solve simple questions by themselves.
After learning the students will be able practically apply and analyze in their Daily Job.

Course content

3 sections • 22 lectures • 9h 24m total length

Average rate of Change32:32
Explore the average rate of change of a function by applying the formula (f(x1) - f(x0)) / (x1 - x0), with worked examples and algebraic simplifications.
Equation line4:59
Learn how to find a line through (2,4) parallel to 2x+4y=6 by using slope-intercept and point-slope forms, giving y = -x/2 + 5.
Point Of Inflection2:19
Identify the point of inflection by examining where the second derivative changes sign from negative to positive or positive to negative, using critical values and the graph's continuity.
Slope Intercept form of equation of Line12:59
Learn to find the slope from two points, derive the slope-intercept form y = mx + b, and recognize vertical lines as undefined slope while identifying the intercept.
Equation of line which is Parallel and perpendicular to new Line1:07
Learn to find the equation of a line through two points, and determine parallel or perpendicular relationships using slope equality for parallel lines and negative reciprocals for perpendicular lines.
Introduction to limits7:18
learn how to evaluate limits of expressions like (2x+1)/(4x) as x approaches 2, by substituting and canceling common factors to simplify the ratio.
Introduction to derivative sample questions10:42
Learn how to find derivatives using the limit definition, including that the derivative of constant functions is zero and the power rule for x^n, with simple examples.
Derivatives of Natural Logarithms4:55
Explore the derivatives of natural logarithms, apply the rule that d/dx ln x = 1/x, and use the reciprocal approach to differentiate related logarithmic functions.

Basics of Limits. Using Formulas25:28
In this Lecture you will learn the basic formulas and how to evaluate the simple as well as complex nature limits, which we will discuss in coming lectures.
Sample Questions for solving limits21:43
This Lecture is a video in which we will solve simple questions with the help of formulas that we have studied in Lecture No. 1
Limits Involving Infinity30:06
In this lecture we will learn how to solve different complex problems using infinity. also there are questions in which there are radical signs and how they are solved in this case.
Limits for trigonometric functions59:34
In this lecture you will learn how to solve limits for trigonometric functions like Sin(), Cos() etc. further you will also learn how to use squeezing theorem when indetermined form occurs.

Introduction to Average Rate of Change.29:56
In this lecture you will study how to find the Rate of change in a function when it move from one point to another. i.e. from xo to x1
Instantaneous Rate of Change18:45
In this lecture you will study how to find the Rate of change in a function at its current position. Questions will make it more clear.
Introduction to derivatives Using formulas1:37:12
In this lecture the basic formulas for finding derivatives with one or two examples having discussed so that when you begin to solve questions you'll be already familiar with them.
Derivatives of Trigonometric Function35:50
the derivatives of trigonometric functions like Sin() , cos() with the application of formulas which are studied in lecture 14have been taught.
Chain Rule21:36
In this lecture we will learn how to find out dy/dx when there are two different functions such as
u= f(x) and y = f(x) and we will find dy/dx as (dy/du).(du/dx)
so lets get into the lecture for this
Implicit differentiation33:11
In this lecture we will study the process of differentiation of the functions that are either difficult or impossible to differentiate directly.
Derivatives of Logarithums34:34
in this lecture we will learn to differentiate the Logarithmic functions but all differentiation will base on the previous formulas and techniques that we have already studied.
Derivatives of Exponential functions14:17
In this lecture we will learn to differentiate the exponential functions, but all differentiation will base on the previous formulas and techniques that we have already studied.
L'Hopitals Rule for evaluating Limits When Undetermined form occurs1:00:04
in this lecture we will learn a general method for using limits. this method will enable us to establish limits when we cannot establish either 0 or 1/0 form. i.e. we get 0/0 form. then we apply this method by differentiating numerator and denominator separately and applying limit.
Analysis of Function (First and Second order derivative test)5:12
In this lecture we will study the functions first derivative test whether it is rising/ decreasing relative maxima or minima. Similarly we will use second derivative test for Concavity of curve, Maximum or Minimum points and Point of inflection which is the point at which function changes its concavity.

Requirements

Basics Knowledge of Arithmatics, like addition, subtraction etc. and some basic algebraic formulas.

Description

This course has been designed keeping in view the difficulties faced by students in understanding and solving the questions. This course has been outlined for the students of A-level, BS, BBA, Engineering, rather any field where the concepts of calculus are applied. Also those who never studied calculus or consider it very difficult to understand will feel comfortable.

Two major topics i.e. LIMITS and DERIVATIVES have been selected with basic questions and techniques to understand concepts and handle problems. after studying these you will be able to apply in your specific field like business, Engineering etc.

The course has been divided into three sections in which:

Section one contains free sample lectures for the students to decide about the course selection.

Section two contains four video lectures on Basics of limits with sufficient number of solved questions, where every step clearly discussed. This section covers:

Basics of Limits. Using Formulas
Sample Questions for solving limits
Limits Involving Infinity
Limits for trigonometric functions

Section three contains ten video lectures on the introduction of derivatives with solved examples.

Introduction to Average Rate of Change.
Instantaneous Rate of Change
Introduction to derivatives Using formulas
Derivatives of Trigonometric Function
Chain Rule
Implicit Differentiation
Derivatives of Natural Logarithms
Derivatives of Exponential Functions
L'Hopitals Rule for evaluating Limits When Undetermined form occurs
Analysis of Function (First order and second order tests have been included.)

Hopefully you will like and consider my course for yourself and for your friends.

Dr. Humayun

Who this course is for:

This course has been desigined for the students who are studying calculus for the first time, and also for those who think it is very difficult to learn.

Learn Basics of Calculus

What you'll learn

Explore related topics

Course content

Free Sample lectures8 lectures • 1hr 17min

Introduction to Limits4 lectures • 2hr 17min

INTRODUCTION TO DERIVATIVES10 lectures • 5hr 51min

Requirements

Description

Who this course is for: