Develop essential mathematics skills with expert instruction and practical examples.
This course is designed for anyone who wants to demystify multivariable calculus and gain a solid foundation in this essential mathematical tool. Whether you're a student pursuing a STEM degree, an individual seeking to enhance your quantitative skills, or simply someone with a passion for mathematics, this course welcomes you on a guided journey through the captivating world of multivariable calculus. No prior calculus experience is necessary.
We'll start with the basics, building your understanding step-by-step. Through interactive lectures, engaging exercises, and clear explanations, you'll gain a comprehensive grasp of key concepts such as:Introduction to multivariable functions: Learn how to represent and work with functions that take multiple inputs. Arithmetic operations: Master performing basic operations like addition, subtraction, and multiplication on multivariable functions.
Partial derivatives: Understand how to differentiate multivariable functions with respect to each variable individually. Directional derivatives: Explore how a function changes in different directions and discover the concept of directional derivatives. Limits and continuity: Delve into the crucial concepts of limits and continuity for multivariable functions.
Gradient and steepest ascent/descent: Learn about the gradient, a powerful tool that helps us understand the direction of a function's steepest change. Tangents and tangent planes: Visualize and understand the concept of tangents and tangent planes for multivariable functions. Optimization: Discover how to find the maximum and minimum values of multivariable functions, a valuable skill in various applications.
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