Differential Calculus and Geometry
Topics
Part-A
- Change of Axes
- Pair of Straight Line
- General Equation of 2nd Degree
- Circle
- System of Circles
- Elipse
- Hyperbola
- Rectangular Coordinate
- Plane
- Straight Line
- Limit
- Continuity & Differentiability
- Differentiation
- Successive Differentiation
- Expansion of Functions
- Maxima and Minima
- Indeterminate Forms
- Partial Differentiation
- Tangent and Normal
- Curvature
Books
“A Text Book on Coordinate Geometry with Vector Analysis by Rahmam & Bhattacharjee” is taught by Majed Sir. “Differential Calculus by B.C. Das & B.N. Mukherjee” is taught by Alal Sir.
Lectures
Assignments
⚠ The solutions are to help your thinking so that you can understand whether your thinking is correct or not. Don’t just copy and paste them. First do it yourself and then see the solution.
Notes
Semester Question Pattern
Section-A
Question patterns may vary depending on the situation.
- Limit + Continuity + Differentiability + Differentiation – 1 set Qsn
- Successive Differentiation + Maxima Minima + Partial Differentiation – 1 set Qsn
- Expansion of Function + Maxima Minima + Indeterminate Forms – 1 set Qsn
- Tangent and Normal + Curvature – 1 set Qsn
- Change of Axes + Pair of Straight Line – 1 set Qsn
- Change of Axes + 2nd Degree Equation – 1 set Qsn
- 2nd Degree Equation + Rectangular Coordinates – 1 set Qsn
- Straight Line + Plane – 1 set Qsn
Question patterns may vary depending on the situation.
Youtube Tutorials
Geometry
Upto Lecture-10
Playlist Videos
1
Change of Axes | Two Dimensional Geometry | Lecture 1
2
Pair of straight line | Homogeneous Equation of 2nd Degree | Lecture 2 part 1
3
Pair of straight line | Homogeneous Equation of 2nd Degree | Lecture 2 Part 2
4
General Equation of 2nd Degree Representing a Pair of Straight Lines | Lecture 3
5
General Equation of Second Degree Presents a Pair of Straight Lines | Lecture 4 part 1
6
General Equation of Second Degree Presents a Pair of Straight Lines | Lecture 4 part 2
7
General Equation of Second Degree Presents a Pair of Straight Lines | Lecture 5
8
General Equation of 2nd Degree || Lecture - 6
9
Rectangular Coordinates || Lecture - 7
10
Rectangular Coordinates || Lecture - 8
11
The Plane Rectangular Coordinates || Lecture 9
12
The Straight Line || Lecture 10
13
Hooke's Law & Newton's Second Law
14
The Straight Line | Lecture 11 | School of CSE
15
Sphere in Geometric Mathematics | Lecture 12
16
Differential Equation | Lecture 13 | Part 1
17
Differential Equation | Lecture 13 | Part 2
18
Homogeneous Differential Equation | Lecture 14 | Part 1
19
Homogeneous Differential Equation | Lecture 14 | Part 2
20
Linear Differential Equations | Lecture 15
21
Exact Differential Equations | Lecture 16
22
Linear Ordinary Differential Equations with Constant Coefficient | Lecture 17
23
Auxiliary Differential Equations | Lecture 18
24
Particular Integral | Method of Undetermined Coefficient | Lecture 19
25
Solution of Higher order Homogeneous Differential Equations | Lecture 20 | Part 1
26
Solution of Higher order Homogeneous Differential Equations | Lecture 20 | Part 2
27
Higher order Differential equations Solution| Series Circuit | Lecture 22
28
Partial Differential Equation | Lecture - 23
29
Linear Partial Differential Equations of Order One | Lecture 24
30
Non Linear Partial Differential Equations of Order One | Lecture 25
31
Homogeneous Partial Differential Equations of Higher Order with Constant Coefficients | Lecture 26
32
Bessel Functions | Generating Function and Miscellaneous Results | Lecture - 27
33
Recurrence Formulas For Legendre Polynomials || Lecture - 28 || Last Class
Differentiation
Watch according to topic
Playlist Videos
1
Concept of differentiation in Hindi
2
Rolle's Theorem in Hindi
3
Lagrange's Mean Value Theorem in Hindi
4
Tangent and Normal in Hindi
5
Leibnitz theorem of nth derivative of product of two functions in Hindi
6
Maclaurin's expansion Theorem in Hindi
7
Taylor's Expansion theorem for one variable in hindi
8
Taylor's Expansion Theorem and Problems in hindi
9
Asymptotes Definition with Working rule and Question in Hindi(Part I)
10
Asymptotes of Curve - Shortcut Method In Hindi(Part II)
11
Parallel Asymptotes - Concept & Working Rule in Hindi(Part III)
12
Parallel Asymptotes - Solved Questions In Hindi(Part IV)
13
Asymptotes Parallel To Coordinate Axes - Working rule & Questions in Hindi(Part V)
14
Curvature, Radius of Curvature and Centre of Curvature in hindi
15
Tracing of Cartesian Curve in Hindi (Part-I)
16
Tracing of Cartesian Curve in Hindi(Part-II)
17
Concept of Polar Coordinate System in Hindi
18
Tracing of Polar Curve in Hindi
19
Partial Differentiation in Hindi
20
Euler's theorem for Homogeneous Function in Hindi
21
Lagrange's method of Undermined Multipliers - Extreme Value for 3 or more variable function in Hindi
22
Maxima and Minima of two Variable Function in hindi
23
Total Differential Coefficient in Hindi
24
Differentiation of implicit Function in Hindi
25
Jacobian in Hindi
26
Approximation of Error in Hindi
27
Taylor's Expansion Theorem of Two Variable x & y Statement and Proof in Hindi
28
Taylor's Series Expansion of Two-Variable [X,Y] Solved Questions in Hindi
29
Continuity of One Variable Function In terms of Epsilon & Delta in Hindi
Limit and Continuity
Playlist Videos
1
Limit - Concept of Limit, Left hand & Right hand Limit in Hindi (Lecture 1)
2
Limit - More Problems in Hindi (Lecture 2)
3
Limit - Evaluation of Limits by Substitution & Trigonometric Identity in Hindi(Lecture 3)
4
Limit - Evaluation of Limits by Standard Limits & Trigonometric Identity in Hindi(Lecture 4)
5
Limit - Limit at infinity II Basics & Questions in Hindi(Lecture5)
6
Continuity of Function in hindi (Lecture 1)
7
Continuity of Function in Hindi II More Problems(Lecture 2)
Continuity and Differentiability
Playlist Videos
1
Class 12 Maths NCERT - Continuity Important Questions Board Exam 2019
2
Class 12 Maths NCERT - Crash Course | Revision Class | Board Exam 2019
3
Class 12 Maths NCERT - Continuity Part-2 Important Questions Exam 2019
4
Class 12 Maths NCERT - Differentiability Important Questions Exam 2019
5
Class 12 Maths NCERT Differentiation of Inverse Trigonometric Function
6
Class 12 Maths NCERT Differentiation of Logarithmic Function Exam-2019
7
Class 12 XII Maths NCERT - Derivative of Function in Parametric Forms
8
Second Order Derivative - Class 12 XII Maths NCERT Important Question
9
Maths Important Questions & Topics Of Class 12th | Board Exam 2019
10
Solution of Maths Class 12 | Maths CBSE Paper Exam-2019 | SET-1 Solved
11
Career Option After 12th Science | Career Counseling | B.Sc. & B.Tech. Students
12
Calculus | Taylor Series | Maclaurin Series | Important formulae
Successive Differentiation
Playlist Videos
1
Successive Differentiation | Differential Calculus | Concepts & Examples
2
Successive Differentiation | nth Derivative | Differential Calculus
3
Leibnitz Theorem | Successive Differentiation | nth Derivative | Part-I
4
Leibnitz Theorem | Successive Differentiation | nth Derivative | Part-II
5
Leibnitz Theorem | nth Differential Coefficient For Special Value of x | Part-III
6
Maclaurin Series | Maclaurin Theorem | Proof & Series Expansion | Part-I
7
Maclaurin Series | Maclaurin Theorem | Example & Solutions | Part-II
8
Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I
9
Taylor Series | Taylor Theorem | Example & Solutions | Part-II
Expansion of function
Playlist Videos
1
Maclaurin Series | Maclaurin Theorem | Proof & Series Expansion | Part-I
2
Maclaurin Series | Maclaurin Theorem | Example & Solutions | Part-II
3
Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I
4
Taylor Series | Taylor Theorem | Example & Solutions | Part-II
Mean Value Theorem
Playlist Videos
1
Real Analysis | Mean Value Theorem | Rolle's Theorem - Proof & Examples
2
Real Analysis | Mean Value Theorem | Rolle's Theorem - Proof & Examples
3
Real Analysis | Mean Value Theorem | Lagrange's Mean Value Theorem - Proof & Examples
4
Real Analysis | Mean Value Theorem | Cauchy's Mean Value Theorem - Proof & Examples
5
Real Analysis | Riemann Integral - Upper & Lower Riemann Integral | Definition With Examples
6
Real Analysis | Riemann Integral - Riemann's Criterion For Integrability Theorem Proof
7
Uniform Convergence | Pointwise Limit - Pointwise Convergence | Real Analysis
8
Directional Derivative | Function of two Variable | Real Analysis by GP sir
9
Improper Integral | Convergence and Divergence of Improper Integral | Types of Improper Integral
10
Improper Integral | P-Test, Comparison Test & Mu Test for Convergence | Real Analysis
11
Improper Integral | Able's & Dirichlet Test for Convergence of Improper Integration | Real Analysis
12
Improper Integral | Comparison, Limit Comparison Test & P - Test for Second Kind | Real Analysis
13
Improper Integral | Mu Test & Absolutely Convergence for Second Kind | Real Analysis by GP sir
14
Improper Integral | Convergence of Beta & Gamma Function | Real Analysis by GP sir
Indeterminant forms
Playlist Videos
1
Differential Calculus | Indeterminant form | Part - 1 by GP Sir
2
Differential Calculus | Indeterminant form | Part - 2 by GP Sir
Tangent & Normal
Playlist Videos
1
Differential Geometry | Curve in Space | Equation of Tangent Line & Normal by GP Sir
2
Tangent and Normal in Hindi
Radius of Curvature
Playlist Videos
1
Radius of Curvature | Radius of Curvature Formula & Example & Solution
2
Radius of Curvature Part-2 Example and Solutions Differential Calculus
3
Radius of Curvature Part-3 Example and Solutions Differential Calculus
