Course description

Advanced Calculus delves into the study of higher-level mathematical concepts, including multivariable calculus, vector analysis, and differential equations. It explores topics such as partial derivatives, multiple integrals, and advanced theorems like Green's, Stokes', and Divergence. These tools are essential for understanding and solving complex problems in physics, engineering, and applied sciences. Advanced Calculus bridges foundational mathematics with real-world applications and theoretical research.

What will i learn?

  • knowledge in transforming double integral to line integrals, triple integrals to surface integrals, surface integrals to line integrals and vice versa.
  • Determine the important analytical quantities associated with scalar and vector fields.
  • Solving line integral, double integral and applying these knowledge to find out work done by a force, volume of regions in space, center of gravity of a mass etc.

Text books & references

Ganesh Aurora

Free

Modules

7

Skill level

Beginner

Expiry period

Lifetime

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