Learn Calculus 2 & 3 from scratch to Advanced
Calculus 2 & 3 through animation,explanations,plenty of solved examples to help you in exam
DIFFERENTIATION: Introduction, Partial equations,Maxima and Minima,Separable equations,Linear equations,Homo and Nonhomogeneous differentiation and Bernoulli's differential equations
INTEGRATION: What is Integral equations, Integral equations,Integration by Parts, Definite & Indefinite Integral equations, Integral equations U-substitution
MULTI VARIABLE CALCULUS: Vector, Scalar, Vector Differentiation, Curl, Directional Derivative, Divergence, Gradient, Irrotational, Solenoidal
MULTI VARIABLE CALCULUS: Multi integral functions, Line Integral, Surface Integral, Green's theorem, Stoke's theorem 1, Gauss-Divergence Theorem
DIFFERENCE METHODS: Newton’s Difference Interpolation Method, Newton’s Forward Difference Interpolation, Newton's backward difference interpolation method, Newton’s Stirling Centeral Difference Interpolation,
NEWTON'S METHODS: Newton's Raphson Method, Runge-Kutta Method
SERIES: Taylor's Series, Maclaurin Series, Fourier series
TRANSFORMS: Laplace Transform, Inverse Laplace Transform
APPLICATIONS of Calculus in daily life
Learn Calculus 2 & 3 through animation. The course includes videos explanation with plenty of relevant solved examples and. 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. So join me here and do it in a quick and easy way. This course covers the below list of topics:
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Introduction to integration
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Important formulas of integration
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Definite integral equations
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Indefinite integral equations
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U-substitution method
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Integration by parts
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Introduction to differentiation
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Linear differential equations
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Bernoulli’s differential equations
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Homogeneous differential equations
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Non homogeneous differential equations
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Mixima & Minima differential equations
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Separable differential equations
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Partial differential equations
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Scalar
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Vector
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Unit normal vector
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Gradient
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Divergence
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Directional derivative
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Solenoidal
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Curl
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Irrotational
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Line integral
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Surface integral
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Green’s Theorem
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Stoke’s Theorem
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Gauss-Divergence Theorem
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Langrange’s Mean Value Theorem
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Newton Raphson Method
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Newton’s Difference Interpolation Method [Finite-Difference Calculus]
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Newton’s Forward Difference Interpolation Method
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Newton’s Backward Difference Interpolation Method
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Newton’s Central Difference Interpolation Method
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Runge-Kutta Method
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Taylor Series
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Maclaurin Series
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Fourier Series
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Laplace Transform
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Inverse Laplace Transform
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Application of Calculus
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ebooks
Introduction
1
Introduction
Integration - Introduction to integration
1
List of some formulas for integration
2
Definition of integration and understand it graphically
3
Calculate the area under the curve using Riemann sum method and integration
4
Integration is the opposite of differentiation, how?
Integration - Definite integral equations
1
What is definite integral and how it looks like graphically?
2
Rules of definite integral equations
3
Types of definite integral equations
4
Find the integration of single definite integral equation
5
Integration of double definite integral equations
6
Integration of triple definite integral equations
Integration - Indefinite integral equation
1
What is Indefinite integral equation?
2
Learn how to solve an indefinite integral equation
3
Find the integration of some basic integral functions
4
Integration of some indefinite integral functions separating their terms
5
Integration of some indefinite integral exponential functions
6
Indefinite integral of fractional, rational and trigonometric functions
Integration - Indefinite integral - U-substitution method
1
Solve some algebraic, fractional and root functions by U-substitution method
2
Indefinite integral of some exponential functions
3
Indefinite integral of some some trigonometric functions
Integration - Integration by parts
1
What is mean by integration by parts?
2
Techniques to solve the indefinite integration by parts
3
Learn how to use the two techniques of integration by parts
4
Indefinite Integration of the product of algebraic & exponential by parts
5
Indefinite Integration of the product of a constant & logarithmic by parts
6
Indefinite Integration of the product of algebraic & trig functions by parts
7
Solve the product of three functions using substitution method
8
Solve the addition of two indefinite integrals using integration by parts
9
Solve the addition of two indefinite integrals using integration by parts
10
Solve the product of multi functions by parts with inverse trig function as well
11
Solve the integrals of the product of multi functions with a cubic function
Differentiation - Introduction to differentiation
1
Definition, mathematical representation and notations of differential equation
2
Orders of the differential equations
3
Order and Power of a differential equation
4
Two main types of differential equations
Differentiation - Partial differential equations
1
Introduction to partial differential equation, mathematically and graphically
2
Partial differential equation vs Ordinary differential equations
3
Procedure to solve the partial differential equation
4
Solve some equations using partial differentiation
Differentiation - Separable differential equations
1
Learn how to separate the variables of the given function?
2
Solution of some tutorials to understand the separation of the variables
Differentiation - Linear differential equations
1
Introduction to the linear differential equation and how it looks like?
2
The graph of a linear equation is always a straight line, how? let's do it
3
Some important conditions of the linear differential equation
4
Orders of the differential equations
5
Learn the procedure to solve a linear differential equation in just two steps
6
Solution of the numerical of some linear differential equations
Differentiation - Bernoulli's differential equation
1
What is bernoulli's differential equation and how it looks like mathematically?
2
Procedure to solve a bernoull's differential equation
3
Learn two different procedures to the bernoulli's differential equation
4
Solution of one more numerical of bernoulli's differential equation
Differentiation - Maxima & Minima equations of a single and two variables
1
What is mean by mixima and minima equation of a single variable?
2
Steps to solve the Maxima and Minima differential equation with graphs
3
Solve a numerical of the Mixima and Minima differential equation of one variable
4
What is mean by mixima and minima equation of two variables?
5
Steps to solve the Maxima and Minima differential equation with variables
6
Solution of a maxima & minima differential equation carrying two variables
Differentiation - Ist order homogeneous equations
1
Introduction to ist order homogeneous differential equation, how it looks like?
2
Try a test to check that whether it's ist a order homogeneous equation or not
3
Learn the procedure to solve a first order homogeneous differential equation
4
Solutions of some problems of ist order homogeneous differential equations
Differentiation - 2nd order Homogeneous & Non homogeneous
1
Introduction to 2nd order homogeneous equation and check how it looks like
2
Procedure to solve the 2nd order homogeneous differential equation
3
Solve 2nd order homogeneous equation applying real/complex root expressions
4
Introduction to 2nd order Non homogeneous and check how its equation looks like
5
Learn how to solve 2nd order non homogeneous equation in five steps
6
Solve one more example of 2nd order non homogeneous differential equation
Newton's Raphson Method
1
Introduction to Newton's Raphson Method
2
Procedure of three steps only to solve a function using Newton's Raphson method
3
Determine the root up to three decimal places using Newton's Raphson method
Runge-Kutta Method
1
Introduction to Runge-Kutta Method and how it looks like mathematically?
2
Solve a problem in one step size using 4th ordered Runge-Kutta Method
3
Solve another problem in two step size using 4th ordered Runge-Kutta Method
Newton's Interpolation Method - Forward, backward and Central interpolations
1
Introduction to difference interpolation method
2
Introduction to Newton's Forward difference interpolation method
3
Data points table of the Newton's Forward difference interpolation method
4
Solve a problem using Newton's Forward difference interpolation method
5
Introduction to Newton's Backward difference interpolation method
6
Data points table of the Newton's Backward difference interpolation method
7
Solve a problem using Newton's Backward difference interpolation method
8
Introduction to Newton's Central difference interpolation method
9
Data points table of the Newton's Central difference interpolation method
10
Solve a problem using Newton's Central difference interpolation method
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