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Course Curriculum

1. DIFFERENTIAL CALCULUS (9 Free Videos)
9 Chapters | 108 solved Problems

2. FUNCTIONS OF SEVERAL VARIABLES (8 Free Videos)
8 Chapters | 72 Solved Problems

3. INTEGRAL CALCULUS (6 Free Videos)
6 Chapters | 79 Solved Problems

4. MUTIPLE INTEGRALS (7 Free Videos)
7 Chapters | 79 Solved Problems

5. ORDINARY DIFFERENTIAL EQUATIONS (9 Free Videos)
9 Chapters | 69 Solved Problems

CALCULUS (U19MA101)

Course Objective:

Provide the information about Review of limits, continuity and differentiability.
Understand maxima and minima of functions of two variables.
Demonstrate Integral calculus.
Identify the problems based on area, surface and volume.
To Recognize the Second order linear differential equations.

Course Outcome:

CO1: Apply Mean value theorem and Taylor’s theorem. K1,K3
CO2: Analyze Total derivative. K2,K4
CO3: Formulate Reduction Formulae. K3,K5
CO4: Translate Change of order of integration. K2,K5
CO5: Apply method of variation of parameters. K3,K5

TEXT BOOKS:

1. Stewart, J. Calculus: Early Transcendentals (8th Edition), Cengage Learning, 2015.

2. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd Edition, 2014.

REFERENCES:

1. Kreyszig E, Advanced Engineering Mathematics (10th Edition), John Wiley (2015).

2. Boyce W E and DiPrima R, Elementary Differential Equations (9th Edition), John Wiley (2005).

3. Nishant Shukla, Elementary Integral Calculus

4. Anton H, Calculus: Early Transcendentals, 10th Edition, Wiley (2012).

5. B V Ramana, Higher Engineering Mathematics, Tata McGraw Hill Education Pvt Ltd., New Delhi (2012).

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CALCULUS (U19MA101)

Let’s Try

₹ 799 + GST

Course Curriculum

label_important1. DIFFERENTIAL CALCULUS (9 Free Videos) 9 Chapters | 108 solved Problems

label_important 1.1 Limit of a Functions

label_important 1.2 Continuity

label_important 1.3 Derivatives

label_important 1.4 Differentiation Rules

label_important 1.5 Implicit Differentiation

label_important 1.6 Logarithmic Differentiation

label_important 1.7 Maxima and Minima of functions of one variable

label_important 1.8 Newton's Law of cooling

label_important 1.9 Law of Natural Growth and Decay

label_important2. FUNCTIONS OF SEVERAL VARIABLES (8 Free Videos) 8 Chapters | 72 Solved Problems

label_important 2.1 Partial Differentiation

label_important2.2 Euler's Theorems

label_important 2.3 Total Derivatives

label_important 2.4 Change of variable

label_important 2.5 Jacobian's

label_important 2.6 Derivative of an Implicit Functions

label_important 2.7 Taylors Series & Maclaurin Series

label_important 2.8 Maxima & Minima

label_important3. INTEGRAL CALCULUS (6 Free Videos) 6 Chapters | 79 Solved Problems

label_important 3.1 Definite Integral

label_important3.2 Definite Integral - Reimann Sum

label_important 3.3 Integration by Parts

label_important 3.4 Trigonometric Integrals

label_important 3.5 Trigonometric Substitutions

label_important 3.6 Integration of rational functions by partial fraction

label_important4. MUTIPLE INTEGRALS (7 Free Videos) 7 Chapters | 79 Solved Problems

label_important 4.1 Double Integral

label_important4.2 Change of Order of Integration

label_important 4.3 Change of Variables (Double Integral)

label_important 4.4 Triple Integral

label_important 4.5 Change of Variables (Triple Integral)

label_important 4.6 Application of Double Integral (Area)

label_important4.7 Application of Triple Integral (Volume)

label_important5. ORDINARY DIFFERENTIAL EQUATIONS (9 Free Videos) 9 Chapters | 69 Solved Problems

label_important 5.1 Linear Differential Equations of Higher Order

label_important5.2 General solution of f(D)y = e^ax

label_important 5.3 General solution of f(D)y = cos ax or sin ax

label_important 5.4 General solution of f(D)y = x^m

label_important 5.5 General solution of f(D)y = e^ax . f(x)

label_important 5.6 General solution of f(D)y = x^m . f(x)

label_important 5.7 Method of Variation of Parameters

label_important 5.8 Cauchy's Differential Equations

label_important 5.9 Legendre Differential Equations

CALCULUS (U19MA101)

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1. DIFFERENTIAL CALCULUS (9 Free Videos)
9 Chapters | 108 solved Problems

1.1 Limit of a Functions

1.2 Continuity

1.3 Derivatives

1.4 Differentiation Rules

1.5 Implicit Differentiation

1.6 Logarithmic Differentiation

1.7 Maxima and Minima of functions of one variable

1.8 Newton's Law of cooling

1.9 Law of Natural Growth and Decay

2. FUNCTIONS OF SEVERAL VARIABLES (8 Free Videos)
8 Chapters | 72 Solved Problems

2.1 Partial Differentiation

2.2 Euler's Theorems

2.3 Total Derivatives

2.4 Change of variable

2.5 Jacobian's

2.6 Derivative of an Implicit Functions

2.7 Taylors Series & Maclaurin Series

2.8 Maxima & Minima

3. INTEGRAL CALCULUS (6 Free Videos)
6 Chapters | 79 Solved Problems

3.1 Definite Integral

3.2 Definite Integral - Reimann Sum

3.3 Integration by Parts

3.4 Trigonometric Integrals

3.5 Trigonometric Substitutions

3.6 Integration of rational functions by partial fraction

4. MUTIPLE INTEGRALS (7 Free Videos)
7 Chapters | 79 Solved Problems

4.1 Double Integral

4.2 Change of Order of Integration

4.3 Change of Variables (Double Integral)

4.4 Triple Integral

4.5 Change of Variables (Triple Integral)

4.6 Application of Double Integral (Area)

4.7 Application of Triple Integral (Volume)

5. ORDINARY DIFFERENTIAL EQUATIONS (9 Free Videos)
9 Chapters | 69 Solved Problems

5.1 Linear Differential Equations of Higher Order

5.2 General solution of f(D)y = e^ax

5.3 General solution of f(D)y = cos ax or sin ax

5.4 General solution of f(D)y = x^m

5.5 General solution of f(D)y = e^ax . f(x)

5.6 General solution of f(D)y = x^m . f(x)

5.7 Method of Variation of Parameters

5.8 Cauchy's Differential Equations

5.9 Legendre Differential Equations