A Complete Guide to Integral Calculus (Advanced Calculus)
Mastering Integral Calculus: Jacobians, Gamma Functions, and Surface Integrals
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5 hours
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Jan 2025
last update
$44.99
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What you will learn
Understand and apply the concept of Jacobians in polar coordinates to transform functions of two variables.
Evaluate double integrals by changing variables, simplifying computations for complex regions.
Apply double integrals to solve real-world problems, including area, mass, and center of mass calculations in polar coordinates.
Analyze and evaluate integrals related to the Gamma function and its properties.
Comprehend the properties and applications of the Gamma function and use it in integral calculus problems.
Apply the Laplace transform to solve integrals and understand its importance in mathematical modeling.
Understand Jacobians in cylindrical and spherical coordinates and apply them for coordinate transformations in three-dimensional problems.
Perform triple integrals by changing variables to cylindrical or spherical coordinates to simplify integrals.
Apply triple integrals to real-world contexts, such as calculating volumes, masses, and centers of mass for 3D objects in cylindrical or spherical coordinates.
Calculate surface area using integration techniques for surfaces defined parametrically or in coordinate systems.
Evaluate surface integrals in cartesian, cylindrical, and spherical coordinates.
Apply surface integrals to solve problems in physics and engineering, such as flux and surface area calculations in various coordinate systems.
6261787
udemy ID
10/30/2024
course created date
11/3/2024
course indexed date
Angelcrc Seven
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