Mathematics · Columbia University
I learned many math concepts such as lines, planes, shapes, vectors, vector valued functions, and partial derivatives.
I learned a lot in this course such as integration by parts, integration with substitution, integration with trig substitution, finding surface area and surface of revolution, as well as convergence and divergence tests for series, such as Taylor and Maclaurin series.
I learned how to work with multivariable functions and vector functions, understand how particles move in space, and explored topics such as partial derivatives, gradients, and tangent planes. - f
Methods of integration, sequences and series.
Space curves, multi-dimensional functions, modeling movement with vectors. I learned that course descriptions can make a course seem more challenging than it really is (like this one)
Basic calc II topics: mostly methods of integration, a little bit of differential equations, and sequences and series + Taylor series.
In Calculus II I learned about integration, derivatives, finding the areas of surfaces of revolutions and curves, and methods to determine convergence and divergence of series, sequences, and functions.
Vector calculus, equations of 3d curves and shapes, multivariable functions, partial derivatives, gradient, lagrange multipliers
Integration Techniques, Applications of Integration Techniques, Sequences & Series, Taylor & Mclaurin Series
Multivariable calculus, partial derivatives, vectors, gradient vector, lagrange multiplier, arc length, curvature