Vector Calculus – A Survival Guide

Categories: Calculus
Wishlist Share
Share Course
Page Link
Share On Social Media

About Course

Dive deep into the fascinating world of vector calculus, a branch of mathematics with unmatched potential in science and engineering. This comprehensive course, featuring engaging video lectures and practical exercises, empowers you to grasp key concepts and unleash their applications in real-world scenarios.

Why Take This Course:

  • Foundations: Gain a solid understanding of vectors, vector spaces, and fundamental operations like addition, subtraction, and dot and cross products.
  • Advanced Concepts: Master gradient, divergence, and curl, unlocking their potential for analyzing complex fields and phenomena.
  • Integral Mastery: Conquer line and surface integrals, opening doors to calculating work, flux, and circulation under diverse conditions.
  • Powerful Theorems: Grasp the profound connections between line, surface, and divergence integrals through Stokes’ and divergence theorems.
  • Real-World Applications: See vector calculus in action! Explore its role in modeling fluid flow, electromagnetic fields, gravitational forces, and more.

Benefits of Taking This Course?

  • Clear and Concise: Expert instructors break down complex concepts into easily digestible chunks, with plenty of examples and illustrations for practical understanding.
  • Accessible: Build upon your existing calculus knowledge and take your mathematical skills to the next level.
  • Engaging: Dive into interactive video lectures, complete challenging quizzes, and hone your problem-solving abilities through practice exercises.
  • Valuable Resource: Master this essential subject for success in physics, engineering, and other STEM fields.

Ready to unlock the power of vector calculus? Enroll today and embark on a rewarding journey through this transformative mathematical realm!

Show More

What Will You Learn?

  • Vectors and vector spaces
  • Vector operations
  • The gradient
  • The divergence
  • The curl
  • Line integrals
  • Surface integrals
  • Stokes' theorem
  • The divergence theorem

Course Content

1. Review of Vector Algebra

  • 1.1 Scalars vs Vectors
    03:04
  • 1.1.1 Problem Exercise 1.1
  • 1.1.2 Solutions to Problem Exercise 1.1
    00:00
  • 1.2 Equality of Vectors
    01:09
  • 1.3 Addition of Vectors
    04:55
  • 1.4 Subtraction of Vectors
    00:43
  • 1.5 Multiplication of a Vector by a Scalar
    01:43
  • 1.6 Null Vector
    00:46
  • 1.7 Unit Vectors
    00:56
  • 1.8 The Dot Product
    02:35
  • 1.9 The Cross Product
    03:02

2. Vector Algebra Contd.

Student Ratings & Reviews

No Review Yet
No Review Yet
mathandbolt