Learn Calculus 1, 2 & 3
2.8 (23 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
1,452 students enrolled

Learn Calculus 1, 2 & 3

Calculus 1,2 &3 through animation,explanations,applications,plenty of solved tutorials and 11 ebooks to help you in exam
2.8 (23 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
1,452 students enrolled
Created by Moein Ud Din
Last updated 2/2019
English
Current price: $10.99 Original price: $199.99 Discount: 94% off
30-Day Money-Back Guarantee
This course includes
  • 23 hours on-demand video
  • 11 articles
  • 11 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
Training 5 or more people?

Get your team access to Udemy's top 3,000+ courses anytime, anywhere.

Try Udemy for Business
What you'll learn
  • Calculus 1 - Functions, Graphing of functions, Parabola, Limit
  • INTEGRATION; Introduction to integration, Definite integral, Indefinite integral, U-substitution, Integration by parts

  • DIFFERENTIAL EQUATIONS; Introduction to differentiation, Linear, Bernoulli's, Exact, Homogeneous & Non-homogeneous, Maxima and Minima, Separable, Partial

  • VECTOR CALCULUS; Introduction to Scalar and Vector, Unit normal vector, Gradient, Divergence, Directional derivative, Solenoidal , Curl, Irrotational, Line integral, Surface integral, Green's Theorem, Stoke's Theorem, Gauss-Divergence Theorem
  • Langrange's Mean Value Theorem, Newton Raphson Method, Newton's Difference Interpolation Method (Forward, Backward and Central), Runge-Kutta Method, Taylor Series, Maclaurin Series, Fourier Series, Laplace Transform, Inverse Laplace Transform
  • APPLICATIONS of Calculus in daily life with real world examples. 11 ebooks (640 pages) for more explanation and solved tutorials to help you in exam
Requirements
  • Know about the basics of Calculus
  • Be able to to solve calculus problems easily
Description

Learn Calculus 1, 2 & 3 through animation. The course includes videos explanation with plenty of relevant solved tutorials and daily life applications in real world . The lectures are appealing, fancy (graphic designing), fast and take less time to walk you through the whole lecture. A prefect choice for students who feel boredom watching long lectures. Moreover, 11 ebooks (640 pages) have been added for more explanation and solved tutorials to help you in exam. So join me here and do it in a quick and easy way. This course covers the below list of topics:

  • Function

  • Domain and range

  • Graphing of functions

  • Parabola

  • Limit

  • Introduction to integration

  • Important formulas of integration

  • Definite integral equations

  • Indefinite integral equations

  • U-substitution method

  • Integration by parts

  • Introduction to differentiation

  • Linear differential equations

  • Bernoulli's differential equations

  • Exact differential equations

  • Homogeneous differential equations

  • Non homogeneous differential equations

  • Mixima & Minima differential equations

  • Separable differential equations

  • Partial differential equations

  • Scalar

  • Vector

  • Unit normal vector

  • Gradient

  • Divergence

  • Directional derivative

  • Solenoidal

  • Curl

  • Irrotational

  • Line integral

  • Surface integral

  • Green's Theorem

  • Stoke's Theorem

  • Gauss-Divergence Theorem

  • Langrange's Mean Value Theorem

  • Newton Raphson Method

  • Newton's Difference Interpolation Method [Finite-Difference Calculus]

  • Newton's Forward Difference Interpolation Method

  • Newton's Backward Difference Interpolation Method

  • Newton's Central Difference Interpolation Method

  • Runge-Kutta Method

  • Taylor Series

  • Maclaurin Series

  • Fourier Series

  • Laplace Transform

  • Inverse Laplace Transform

  • APPLICATIONS of Calculus in daily life

  • 11 Ebooks (640 pages) for more explanations and solved tutorials to help you in exam

NOTE: Animation plays key role here, everything is to the point. The only intention behind is to make the calculus interesting and less boring for students to help them in learning

Who this course is for:
  • Beginner at High school, college and university level
  • Anyone who wants to learn Calculus
Course content
Expand all 359 lectures 23:04:35
+ Calculus 1 - Function
29 lectures 03:24:29
Introduction to function
09:26
Types of functions
05:04
Even and Odd functions
10:18
Graphical representation of Even and Odd functions
04:51
Neither functions
02:47
Product of two functions
06:09
Addition and Subtraction of two functions
06:10
Division of two functions
01:37
Prerequisites of Function
08:27
Identify Domain and Range from the graph
07:55
Identify Domain and Range from parabolic functions
11:04
Identify Domain and Range of functions making different straight line graphs
07:18
Identify Domain and Range from a straight line( with a single number) and circle
08:04
Find the Domain from the discrete or digital graph of a parabola
05:23
Find the Domain from the discrete or digital graph of a circle and a line
10:19
Find the domain for Polynomial and Fractional functions
09:26
Find domain from a Fractional function with a quadratic equation at denominator
03:46
Find the domain from the square root functions
07:05
Find the domain from the square root functions in fractional form
07:26
Find the domain from square root functions in fractional form
06:26
Find the domain from the addition of two square root functions
13:26
Domain from square root function with square root term in numerator only
10:25
Ordered pair test to know that whether it is function or not
07:52
Vertical line test of a function on continuous graph
11:50
Vertical line test of a function on discontinuous/discrete/digital graph
03:10
What are One-to-One and Onto functions?
04:49
Horizontal line test to identify One-to-One function
05:54
Onto functions, check whether it's Onto function or not
03:22
+ Calculus 1 - Graphing of functions
12 lectures 01:59:57
Introduction to graphical representation of a function
02:13
How to draw the graph of a function? Understand the technique
11:50
Draw the graph of parabolic piece-wise function from the equation
10:30
Draw the graph of a piece-wise function with 3 pieces and check if it's function
17:28
Draw one more graph of a piece-wise function with 3 pieces and then check it
10:00
Now find the EQUATION from the graph of a piece-wise function
12:08
Learn how to combine functions graphically? See it in graphical perspective
05:52
Transforming of a graph to another place after adding and subtracting any value
11:59
Transforming of graph after multiplication of a value and then take its opposite
08:49
Transforming of a graph after doing some changes to its dependent variable only
14:21
Transform the graph of a cubic function after doing some changes to its equation
08:02
+ Calculus 1 - Parabola
12 lectures 01:50:32
Introduction to parabola
02:54
Graphical representation of a parabola, how to draw its graph?
11:32
Method 1- to find the vertex of the Parabola
07:00
Method 2-Find the vertex of Parabola from the vertex form of quadratic equation
06:05
Method 3-Find the vertex of Parabola from the factor form of quadratic equation
13:56
What is actually Axis of symmetry, vertex and y-intercept of the Parabola?
03:30
Draw the graph of a Parabola using integers and odd numbers' method
13:47
Problem 1:Find the Axis of symmetry, vertex,y-intercept and graph of a parabola
11:40
Problem.2: Find axis of symmetry, vertex and y-intercept of a downward parabola
07:54
Prob.3: Find axis of symmetry, x-y intercept, vertex, graph, direction
13:00
Derive the equation from the graph of a Parabola
12:33
+ Calculus 1 - Limit
11 lectures 01:55:17
Introduction to Limit, walk through a pictorial show to understand the limit
16:26
Mathematical definition of the Limit
09:13
Solve an example to prove the mathematical definition of the Limit
09:46
Solve a quadratic equation to prove the mathematical definition of the Limit
15:49
Basic formulas of Limit
13:00
Existence of the Limit, when does limit exist?
09:33
Six types of procedures to solve the limit of a function
01:36
Find the limit of a function using Direct substitution method
09:18
Find the limit of a quadratic/trigonometric functions using Direct substitution
06:45
Find the limit of exponential functions using Direct substitution
09:05
Find the limit of a function via cubic formula by applying Direct substitution
14:46
+ What is Integration?
6 lectures 19:39

How to define integration?

Preview 00:59
Graphical Representation of Integration
01:00

Comparison of Reimann sum and Integration process

How to calculate area under the graph using Integration and Reimann sum method
03:29
Prove that Integration is the better choice to calculate area under the curve
02:43
Integration vs Differentiation
01:00
Formulas list of integration
10:28
+ Types of Integral Equations
4 lectures 03:07
Definite Integral
00:26
How definite Integral looks like and how it solves?
01:28
What is Indefinite Integral?
00:28
How Indefinite Integral looks like and how it solves?
00:45
+ Indefinite Integral
16 lectures 21:04
Algebraic function
01:08
Inverse algebraic function
01:05
Inverse algebraic function
00:33
Integral of function with multi terms
01:08
Algebraic function with multi terms
02:08
Algebraic function with the product of two expressions
02:01
Exponential function
00:52
Exponential function
01:12
Inverse exponential function
01:12
Exponential function raised to the power of two terms
00:59
Exponential function with multi terms
01:18
Algebraic expression
01:50
Algebraic expression
00:56
Integration of square function
01:03
Integral of square root function
01:44
Trigonometric function
01:55
+ Definite Integral
13 lectures 30:25
Definition
00:26
How to solve definite Integral equation?
01:58
Rule #1 of definite integral
00:57
Rule # 2 of definite integral
01:42
Rule # 3 of definite integral
02:02
Single definite integral
01:13
Tutorial of single definite integral
01:05
Double definite integral equation
01:02
Tutorial of double definite integral equation
02:13
Tutorial of double definite integral equation with variable limits
03:49
Triple definite integral equation
02:24
Tutorial of triple definite integral equation
03:11
Tutorial of triple definite integral equation
08:23
+ U-substitution method
12 lectures 27:24
Algebraic expression with a function having raised to power 5
01:59
If a function has a square root term
01:44
Function with square root term
02:13
Product of two functions with a square root
02:27
U-substitution for exponential function
02:01
U-substitution for exponential function with partial fraction
04:56
Trigonometric function
02:12
Product of two trigonometric functions with natural log
02:08
Product of trigonometric functions
01:40
Trigonometric function
01:23
Trigonometric function
02:15