Enroll Course: https://www.udemy.com/course/calculus_2/
If you’re a college engineering student looking to deepen your understanding of differential and integral calculus, look no further than the ‘Calculus 2’ course on Udemy, taught by the experienced educator Eliran. With over 15 years of teaching mathematics and physics, Eliran has developed unique teaching methods and utilizes technological aids that make learning complex topics more accessible and engaging.
This course serves as a continuation from Calculus 1, diving deeper into the world of multivariable functions. The curriculum is thoughtfully divided into two parts: the differential and the integral.
**Part 1: The Differential**
In this section, you’ll start with an introduction to functions of two variables, exploring domains and contour lines. The course progresses to limit calculations of these functions and the definition of partial derivatives. Eliran explains differentiability and how to derive functions of two variables, covering tangent planes and normal lines, as well as the chain rule for composite functions.
You’ll also learn about gradients and directional derivatives, higher-order derivatives, and extreme value problems—both local and absolute extrema within closed domains and under given constraints. This part is crucial for anyone looking to apply calculus in real-world engineering problems.
**Part 2: The Integral**
The second half of the course shifts focus to integrals, beginning with double integrals and moving on to line integrals of both types. You will delve into Green’s Theorem, conservative fields, and potential functions, before tackling triangular integrals and finally surface integrals of both types, along with Gauss’s Law.
One of the standout features of this course is the personal attention Eliran provides. He encourages students to reach out with any questions throughout the course, promising a response within 24 hours. This level of support is invaluable, especially when grappling with challenging concepts.
Overall, the ‘Calculus 2’ course on Udemy is a comprehensive and well-structured program that not only covers essential calculus concepts but also provides the guidance and support needed to succeed. If you’re ready to take your calculus skills to the next level, I highly recommend enrolling in this course. It’s an investment in your education that will pay off in your engineering studies and beyond!
Enroll Course: https://www.udemy.com/course/calculus_2/