Course description

Calculus is a branch of mathematics that studies continuous change. It has two main parts: differential calculus, which focuses on rates of change and slopes of curves, and integral calculus, which deals with accumulation of quantities and areas under curves. It is widely used in physics, engineering, economics, and many other fields to model and solve real-world problems.

What will i learn?

  • Upon successful completion of this course, students will be able to:
  • Calculate curvature and radius of curvature for a given curve.
  • Determine the important quantities associated with scalar and vector fields.
  • Find gradient of a scalar point function, divergence and curl of a vector point function.
  • Evaluate line integral, double integral and applying these concepts to find out work done by a force, volume of regions in space, center of gravity of a mass etc.
  • Transform double integral to line integrals, triple integrals to surface integrals, surface integrals to line integrals and vice versa.

Text books & references

Vinay Aurora

Free

Modules

7

Skill level

Beginner

Expiry period

Lifetime

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