Math 1221

Vector, Matrix and Integral Calculus

Topics

Part-A
  1. Vector Geometry
  2. Vector Differentiation
  3. Vector Integration
  4. Vector Theorems
  5. Matrix
Part-B
  1. Indefinite Integral
  2. Method of Substitution
  3. Integration by Parts
  4. Integration of Trigonometric Function
  5. Integration of Rational Function
  6. Definite Integral
  7. Reduction Formula
  8. Gama Beta function
  9. Length of Curves
  10. Area and Volume of Curves and Surface of Revolution

Books

“Integral Calculus including Differential Equation by B. C. Das & B. N. Mukherjee” is needed for Integration.

MZA Sir's Lectures

Helal Sir's Lectures

Helal Sir's Previous 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
  1. Vector Geometry + Vector Differentiation – 1 set Qsn
  2. Vector Integration + Vector Theorems – 1 set Qsn
  3. Matrix – 2 set Qsn
Section-B
  1. Indefinite Integral + Integration by Parts + Integration of Trigonometric and Rational Function – 1 set Qsn
  2. Definite Integral + Reduction Formula + Gama Beta Function – 2 set Qsn
  3. Length of Curves + Area and Volume of Curves + Surface of Revolution – 1 set Qsn
Question patterns may vary depending on the situation.

YouTube Lessons

Thermodynamics

Thermodynamics