Differential Calculus and Geometry

Topics

Part-A
  1. Change of Axes
  2. Pair of Straight Line
  3. General Equation of 2nd Degree
  4. Circle
  5. System of Circles
  6. Elipse
  7. Hyperbola
  8. Rectangular Coordinate
  9. Plane
  10. Straight Line
Part-B
  1. Limit
  2. Continuity & Differentiability
  3. Differentiation
  4. Successive Differentiation
  5. Expansion of Functions
  6. Maxima and Minima
  7. Indeterminate Forms
  8. Partial Differentiation
  9. Tangent and Normal
  10. 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.

Chapter Wise Books

Alal Sir Sheets

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

Updates

Semester Question Pattern

Section-A
  1. Limit + Continuity + Differentiability + Differentiation – 1 set Qsn
  2. Successive Differentiation + Maxima Minima + Partial Differentiation – 1 set Qsn
  3. Expansion of Function + Maxima Minima + Indeterminate Forms – 1 set Qsn
  4. Tangent and Normal + Curvature – 1 set Qsn
Section-B
  1. Change of Axes + Pair of Straight Line – 1 set Qsn
  2. Change of Axes + 2nd Degree Equation – 1 set Qsn
  3. 2nd Degree Equation + Rectangular Coordinates – 1 set Qsn
  4. Straight Line + Plane – 1 set Qsn

Question patterns may vary depending on the situation.

Youtube Tutorials

Geometry

Upto Lecture-10

Differentiation

Watch according to topic

Limit and Continuity

Continuity and Differentiability

Successive Differentiation

Expansion of function

Mean Value Theorem

Indeterminant forms

Tangent & Normal

Radius of Curvature