Learn Calculus 2 & 3 from scratch to Advanced

Name: Learn Calculus 2 & 3 from scratch to Advanced
Rating: 4.5 (47 reviews)

Calculus 2 & 3 through animation,explanations,plenty of solved examples to help you in exam

Created byMoein Ud Din

Last updated 6/2023

English

What you'll learn

DIFFERENTIATION: Introduction, Partial equations,Maxima Minima,Separable equations,Linear equations,Homo Nonhomogeneous differentiation, Bernoulli's 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, Newton’s Forward Interpolation, Newton's backward interpolation, Newton’s Stirling Central 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

Course content

38 sections • 206 lectures • 12h 31m total length

Introduction1:20

What is definite integral and how it looks like graphically?2:10
Rules of definite integral equations4:38
Types of definite integral equations4:23
Find the integration of single definite integral equation0:58
Integration of double definite integral equations5:30
Learn to solve double definite integral equations by setting and applying limits, performing integration with respect to x, then integrating with respect to y, and identifying limits graphically.
Integration of triple definite integral equations7:35
Explore evaluating triple definite integrals by selecting the order of integration (z, y, x), applying correct limits, and solving worked examples.

What is Indefinite integral equation?0:28
Learn how to solve an indefinite integral equation0:45
Find the integration of some basic integral functions2:32
Explore solving basic indefinite integrals using the power rule and logarithmic rule, with examples like ∫ x^n dx and ∫ x^{-3} dx, including constants of integration.
Integration of some indefinite integral functions separating their terms5:05
Integration of some indefinite integral exponential functions5:10
Indefinite integral of fractional, rational and trigonometric functions6:47

What is mean by integration by parts?1:08
Explore integration by parts as a fundamental technique for integrating products of two functions, and preview solving logarithmic, algebraic, trigonometric, and exponential integrals in upcoming lectures.
Techniques to solve the indefinite integration by parts4:51
Learn how to use the two techniques of integration by parts6:44
Indefinite Integration of the product of algebraic & exponential by parts6:48
Indefinite Integration of the product of a constant & logarithmic by parts3:12
Indefinite Integration of the product of algebraic & trig functions by parts7:00
Solve the product of three functions using substitution method2:45
learn to solve the product of three functions using substitution, setting tan x = t, differentiating, and substituting to bypass integration by parts.
Solve the addition of two indefinite integrals using integration by parts2:55
Apply integration by parts to the addition of two indefinite integrals, using choices that simplify terms like log x and e^x, yielding log x e^x + C.
Solve the addition of two indefinite integrals using integration by parts2:27
Solve the product of multi functions by parts with inverse trig function as well3:14
Explore solving a product of multiple functions with integration by parts, applying the formula to exponential and polynomial factors, and simplifying the resulting integrals.
Solve the integrals of the product of multi functions with a cubic function4:22

Introduction to the linear differential equation and how it looks like?4:22
The graph of a linear equation is always a straight line, how? let's do it2:16
Some important conditions of the linear differential equation3:19
Identify standard linear differential equations by three conditions: no product of dependent variables, every dependent variable to the first power, and derivative terms appearing linearly.
Orders of the differential equations2:34
Learn the procedure to solve a linear differential equation in just two steps1:43
learn the procedure to solve a standard linear differential equation using an integrating factor; compute mu(x)=exp(integral p(x) dx) and apply the general solution y=mu^{-1} integral(mu q dx) + C mu^{-1}.
Solution of the numerical of some linear differential equations8:37

Requirements

Be able to know basics of Calculus

Description

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:

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
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
Application of Calculus
ebooks

Who this course is for:

Beginner to Advanced

Learn Calculus 2 & 3 from scratch to Advanced

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 1min

Integration - Introduction to integration4 lectures • 16min

Integration - Definite integral equations6 lectures • 25min

Integration - Indefinite integral equation6 lectures • 21min

Integration - Indefinite integral - U-substitution method3 lectures • 25min

Integration - Integration by parts11 lectures • 45min

Differentiation - Introduction to differentiation4 lectures • 16min

Differentiation - Partial differential equations4 lectures • 15min

Differentiation - Separable differential equations2 lectures • 6min

Differentiation - Linear differential equations6 lectures • 23min

Requirements

Description

Who this course is for: