Enroll Course: https://www.coursera.org/learn/hesap-calculus-dersi
If you’re venturing into the fascinating world of multivariable calculus, Coursera’s ‘Multivariable Calculus I: Concepts’ course is an excellent starting point. Designed with an ’embedded approach’, the course emphasizes real-life applications alongside theoretical foundations, making complex concepts more tangible and understandable.
The course is divided into three main sections:
1. General Topics and Vectors in the Plane – This section covers the basics of functions, vector operations, and geometric interpretations in two-dimensional space.
2. Vectors in Space, Lines, Planes, and Vector Functions – Building on the basics, it explores vectors in three dimensions, space curves, and associated geometries.
3. Surfaces, Partial Derivatives, Double Integrals, and Applications – Delves into the study of surfaces defined by functions of two variables, partial derivatives, and multiple integrals with practical examples.
What makes this course stand out is its focus on visual understanding through computer-generated graphics using tools like Mathematica and MATLAB, along with problem-solving strategies that clarify intricate topics such as the chain rule, gradients, Jacobians, and optimization.
The course’s content is comprehensive and suitable for learners with basic calculus background aiming to deepen their understanding of multivariable calculus concepts essential for advanced mathematics, physics, engineering, and computer science.
I highly recommend this course for anyone interested in mastering the core ideas of multivariable calculus with a focus on real-world applications, aided by visualization tools and clear explanations. It provides a solid foundation necessary for tackling more advanced topics or applying calculus in practical scenarios.
Enroll Course: https://www.coursera.org/learn/hesap-calculus-dersi