edX
edXMastering Calculus
1k studentsINTERMEDIATEEnglish
Korshub's take
Multivariable Calculus for Applied Problems
Calculus of many variables is the language of physics, engineering, and optimization. This course builds your fluency: from visualizing functions in three dimensions to computing directional derivatives and solving complex integrals.
You'll master level curves, Taylor approximations, and differential equations—tools that model real phenomena from heat diffusion to motion under forces. Critical points and extreme values teach you to optimize systems that depend on multiple parameters.
Whether you're preparing for applied mathematics, physics, engineering, or economics, this course gives you both computational power and conceptual understanding of how variables interact.
About this course
Represent functions of one, two and three variables using level curves/surfaces and contour maps or graphs. ,Approximate functions and their values using (Taylor) polynomial approximations. ,Solve a wide variety of separable and linear first order differential equations and initial value problems. ,Evaluate a wide variety of definite single, double and triple integrals over a wide variety of domains. ,Solve a wide variety of linear second order differential equations including those with constant coefficients using the method of undetermined coefficients and solve the corresponding initial value problems. ,Find critical points of functions of several variables and find extreme values of functions of several variables in a closed domain. ,Compute and interpret first and higher order total, partial and directional derivatives of general functions of one or several variables.
Price
$330
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