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1
Definition of Asymptotes with Working Rule in Hindi By GP Sir
2
Asymptotes Example & Solution When Roots are Equal | Definition & Rule
3
Intersection of Curve and Its Asymptotes Definition & Method | GP Sir
4
Asymptotes By Inspection Method | Parallel Asymptotes | By Gp Sir
5
Curve Tracing of Cartesian Curve By GP Sir
6
Curve Tracing of Cartesian Curve | Lecture-II | Working Rule of Tracing
7
Curve Tracing of Polar Curves | Cardioids, Limacon, Bernoulli | GP Sir
8
Maxima And Minima of Two Variables Function | Examples And Solution
9
Maxima and Minima - Langrange's Method of Undetermined Multipliers
10
Partial Differentiation Example And Solution | Multivariable Calculus
11
Partial Differentiation - Euler's Theorem for Homogeneous Function
12
Partial Differentiation - Total Differential Coefficient Problem & Solution
13
Radius of Curvature | Radius of Curvature Formula & Example & Solution
14
Radius of Curvature Part-2 Example and Solutions Differential Calculus
15
Radius of Curvature Part-3 Example and Solutions Differential Calculus
16
Jacobian, Jacobian Transformation, Jacobian Method, Differential Calculus
17
Jacobian, Jacobian Properties,Jacobian Example, Differential Calculus
18
Jacobian, Jacobian of Implicit Function, Jacobian Example Par-III
19
Envelope and Evolutes, Envelope Math, Differential Calculus By GP Sir
20
Envelope and Evolutes, Evolute, Evolute of Curve Differential Calculus
21
Infinite Series - Convergence Of Infinite Series | Basic Concepts
22
Infinite Series - Comparison Test For Convergence of Series | Calculus
23
Infinite Series - Cauchy's Integral Test For Convergence of Series
24
Infinite Series - D'Alembert's Ratio Test For Convergence of Series
25
Successive Differentiation | Differential Calculus | Concepts & Examples
26
Successive Differentiation | nth Derivative | Differential Calculus
27
Leibnitz Theorem | Successive Differentiation | nth Derivative | Part-I
28
Leibnitz Theorem | Successive Differentiation | nth Derivative | Part-II
29
Leibnitz Theorem | nth Differential Coefficient For Special Value of x | Part-III
30
Maclaurin Series | Maclaurin Theorem | Proof & Series Expansion | Part-I
31
Maclaurin Series | Maclaurin Theorem | Example & Solutions | Part-II
32
Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I
33
Taylor Series | Taylor Theorem | Example & Solutions | Part-II
34
Calculus | Important formulae | Limit Continuity And Differentiability
35
Calculus | Mean Value Theorem | Important formulae | Rolles, Lagrange & Cauchy
36
Calculus | Taylor Series | Maclaurin Series | Important formulae
Description:
Explore a comprehensive 11-hour course on Differential Calculus designed for B.Sc. and Engineering students. Delve into a wide range of topics including asymptotes, curve tracing, maxima and minima, partial differentiation, radius of curvature, Jacobian transformations, envelopes and evolutes, infinite series, successive differentiation, Leibnitz theorem, and Taylor and Maclaurin series. Learn through detailed explanations, examples, and solutions provided by Dr. Gajendra Purohit. Master important theorems, formulas, and concepts in calculus, including limit continuity, differentiability, and mean value theorems. Gain a solid foundation in differential calculus applicable to various scientific and engineering fields.

Differential Calculus for B.Sc. and Engineering Students

Dr. Gajendra Purohit
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