Ace Calculus 3 in 16 Hours (The Complete Course)
Study of infinite sequences and series, vector functions, and derivatives and integrals for multivariable functions
5.00 (3 reviews)
78
students
16.5 hours
content
Jan 2025
last update
$19.99
regular price
What you will learn
Express a sequence as an order of numbers
Express an order of numbers as a sequence
Determine whether a sequence converges or diverges
Prove whether a sequence is monotonic or bounded
Find the convergence of a sequence
Express a series in sigma notation
Find the sum of a geometric or telescoping series
Test for the convergence of a series using the Test for Divergence, Integral Test, Comparison/Limit Comparison Tests, Alternating Test, Root and Ratio Tests
Estimate the Sum of a Series
Estimate the Sum of an Alternating Series
Find the radius of convergence and interval of convergence of a power series
Represent a function as a Taylor Series and Maclaurin Series
Estimate how close the function is to its Taylor series representation using the Taylor's Inequality
Apply the Taylor polynomials
Perform operations on vectors (dot product, projection, and cross product)
Recognize and understand equations of lines and planes in 3D
Recognize and sketch a surface function (a function of two variables)
Take the derivative and integral of a vector function
Find the arc length, curvature, and torsion of a vector function
Use and understand the Frenet-Serret equations
Sketch functions of two variables as surfaces and level curves
Take the partial derivative of a multivariable functions with respect to different variables
Use partial derivatives to find the equation of tangent planes
Apply the chain rule on multivariable functions
Find the gradient vector and directional derivatives
Maximize and minimize a multivariable function
Apply Lagrange multiplier method
Estimate the volume under a surface using double Riemann sum
Evaluate iterated integrals
Evaluate double integrals over general regions
Evaluate double integrals in polar coordinates
Find the surface are of a two-variable function over a region
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udemy ID
3/2/2023
course created date
9/16/2023
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