Calculus-That Will Break Your Fear

Calculus-That Will Break Your Fear, available at $19.99, has an average rating of 4.83, with 41 lectures, based on 3 reviews, and has 50 subscribers.

You will learn about Total Derivatives using Chain Rule Homogenous function Euler's theorem Maxima and Minima for a function of one variable, two variables and three variables Continuity of a function at a particular value and in a Closed Interval Differentiability of a function in an Open Interval Mean Value Theorems : Roll's Theorem Legrange's Mean Value Theorem Cauchy's Mean Value Theorem Taylor's Theorem ( Generalised Mean Value Theorem ) Definite Integrals and Properties of definite integrals Improper Definite Integrals, Convergence and Divergence Comparison Test, P-Series Test and Integral Test Gamma functions Beta functions Applications : Areas Length of the arc of a curve Volume generated by revolving the areas formed about X-Axis and about Y-Axis Limits VECTOR CALCULUS : Basic Vector Algebra : Dot Product ( Scalor Product ), Cross Product ( Vector Product ), Scalor Triple Product, Vector Triple Product Gradient, Directional derivative (d.d), Unit Normal Divergence, Solenoidal Vector Curl or Rotation , Irrotational or Conservative Force Field Line Integrals, Work Done Surface Integrals : Double Integrals evaluation techniques, Change of order of integration Volume Integrals, Triple integrals evaluation techniques Vector Integral Theorems : Green's Theorem Stoke's Theorem Guass – Divergence Theorem This course is ideal for individuals who are +2, Engineering students and students preparing for Competitive exams or GATE, PSU,S It is particularly useful for +2, Engineering students and students preparing for Competitive exams or GATE, PSU,S.

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Summary

Title: Calculus-That Will Break Your Fear

Price: $19.99

Average Rating: 4.83

Number of Lectures: 41

Number of Published Lectures: 41

Number of Curriculum Items: 41

Number of Published Curriculum Objects: 41

Original Price: ₹1,199

Quality Status: approved

Status: Live

What You Will Learn

Total Derivatives using Chain Rule
Homogenous function
Euler's theorem
Maxima and Minima for a function of one variable, two variables and three variables
Continuity of a function at a particular value and in a Closed Interval
Differentiability of a function in an Open Interval
Mean Value Theorems :
Roll's Theorem
Legrange's Mean Value Theorem
Cauchy's Mean Value Theorem
Taylor's Theorem ( Generalised Mean Value Theorem )
Definite Integrals and Properties of definite integrals
Improper Definite Integrals, Convergence and Divergence
Comparison Test, P-Series Test and Integral Test
Gamma functions
Beta functions
Applications :
Areas
Length of the arc of a curve
Volume generated by revolving the areas formed about X-Axis and about Y-Axis
Limits
VECTOR CALCULUS :
Basic Vector Algebra : Dot Product ( Scalor Product ), Cross Product ( Vector Product ), Scalor Triple Product, Vector Triple Product
Gradient, Directional derivative (d.d), Unit Normal
Divergence, Solenoidal Vector
Curl or Rotation , Irrotational or Conservative Force Field
Line Integrals, Work Done
Surface Integrals : Double Integrals evaluation techniques, Change of order of integration
Volume Integrals, Triple integrals evaluation techniques
Vector Integral Theorems :
Green's Theorem
Stoke's Theorem
Guass – Divergence Theorem

Who Should Attend

+2, Engineering students and students preparing for Competitive exams
GATE, PSU,S

Target Audiences

+2, Engineering students and students preparing for Competitive exams
GATE, PSU,S

This course has detailed explanation of following Topics:

Partial Derivatives : Partial and Total Derivatives ( Chain rule), Homogeneous functions, Euler’s Theorem, Maxima and Minima for a function of One variable, Two variables and Three variables.

Mean value theorems :Continuity of a function at a particular value and in a closed interval, Differentiability of a function in an open interval, Roll’s theorem, Legrange’s Mean value theorem, Cauchy’s Mean value theorem , Taylor’s theorem ( Generalized Mean value theorem.

Definite and Improper Definite Integrals: Properties of Definite Integrals, Convergence and Divergence, Comparison Test, P-Series Test, Integral test, Gamma and Beta functions.

Limits :Limits definition, Indeterminate forms of Limits.

Vector Calculus : Basics of Vector Algebra, Dot ( Scalar ) Product , Cross ( Vector )Product , Scalar Triple Product, Vector Triple Product, Application of Partial Derivatives on Vectors :Gradient, Directional Derivative( d,d ), Unit normal, Divergence, Solenoidal vector, Curl or Rotation, Irrotational or Conservative Force Field.

Multiple Integrals : Line integrals, Work done, Surface Integrals, Double Integrals evaluation Techniques, Volume Integrals, Triple Integrals evaluation techniques.

Vector Integral Theorems : Green’s Theorem, Stoke’s Theorem and Gauss – Divergence Theorem

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Lecture 2: Partial Derivatives

Lecture 3: Higher Order Partial Derivatives

Lecture 4: Problems in Partial Derivatives

Lecture 5: Additional Problems in Partial Derivatives

Lecture 6: Homogeneous Functions

Lecture 7: Euler's Theorem and Problems

Lecture 8: Total Derivatives

Lecture 9: Total Derivatives Continuation

Lecture 10: Maxima and Minima for a function of Single Variable

Lecture 11: Maxima and Minima for a function of two variables.

Lecture 12: Constrained Maxima and Minima for a function of Three Variables.

Lecture 13: Continuity of a function

Lecture 14: Differentiability of a function

Lecture 15: Rolle's Theorem

Lecture 16: Legrange's Mean Value Theorem

Lecture 17: Cauchy's Theorem

Lecture 18: Taylor's Theorem ( Generalised Mean Value Theorem )

Lecture 19: Additional problems in Mean Value Theorem.

Chapter 2: Definite and Improper Definite Integrals.

Lecture 1: Definite and Improper Definite Integrals.

Lecture 2: Properties Of Definite Integrals

Lecture 3: Improper Definite Integrals

Lecture 4: Comparision Test, P-Series Test and Integral Test,

Lecture 5: Gamma Function

Lecture 6: Beta Functions

Lecture 7: Application Of Integrals : Length of the Arc of the Curve

Lecture 8: Applications Of Integrals : Areas and Volumes

Chapter 3: LIMITS

Lecture 1: Limits

Lecture 2: Limts continuation.

Chapter 4: VECTOR CALCULUS

Lecture 1: Vector Algebra

Lecture 2: Introduction to basics of Vector Algebra continuation

Lecture 3: Gradient, Directional Derivative (d.d ), Normal

Lecture 4: Gradient of a scalor point function continuation

Lecture 5: Divergence, Curl or Rotation

Lecture 6: Line Integral

Lecture 7: Surface Integrals, Double Integrals Evaluation Techniques

Lecture 8: Change of Order of Integrals

Lecture 9: Triple Integrals

Lecture 10: Green's Theorem

Lecture 11: Stoke's Theorem

Lecture 12: Guass-Divergence Theorem

Instructors

Amarender Reddy Byreddy
Senior GATE faculty

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