Enroll Course: https://www.udemy.com/course/calculus_2/
For engineering students navigating the complexities of higher mathematics, Calculus 2 can often feel like a daunting hurdle. Fortunately, resources like Eliran’s Udemy course, “Calculus 2,” aim to demystify this essential subject. With 15 years of experience teaching mathematics and physics, Eliran brings a wealth of knowledge and a unique teaching methodology, enhanced by technological aids, to this comprehensive course.
This course is designed as a direct continuation of introductory calculus, diving deep into both differential and integral calculus for two-variable functions. Eliran breaks down the material into two main parts, ensuring a structured and progressive learning experience.
Part 1, focusing on the differential aspects, begins with an introduction to functions of two variables, including their domains and contour lines. It then moves systematically through limits, partial derivatives, and the crucial concept of differentiability. Eliran covers tangent planes, normal lines, the chain rule for composite functions, and implicit differentiation. The latter half of this section delves into gradients, directional derivatives, higher-order derivatives, and culminates in a thorough exploration of optimization problems, including local extrema, absolute extrema on closed domains, and constrained optimization.
Part 2 shifts the focus to integral calculus. It starts with double integrals, followed by line integrals of Type 1 and Type 2. Eliran then introduces Green’s Theorem, conservative fields, and potential functions. The course progresses to triple integrals and concludes with surface integrals of Type 1 and Type 2, along with Gauss’s Law. This comprehensive coverage ensures students are well-equipped with the tools needed for advanced engineering applications.
One of the standout features of this course is the personal support offered. Eliran assures students that he is available to answer questions via direct message on the platform, promising a response within 24 hours. This level of accessibility is invaluable for students who may encounter difficulties or require clarification.
**Recommendation:**
Eliran’s “Calculus 2” course on Udemy is highly recommended for any engineering student seeking a robust understanding of multivariable calculus. The structured approach, clear explanations, and dedicated support system make it an excellent resource for mastering this critical subject. Whether you are reviewing concepts or learning them for the first time, this course provides the depth and clarity needed to succeed.
Enroll Course: https://www.udemy.com/course/calculus_2/