Advanced Calculus - 14 Hour Course
Calculus 2 is considered by most to be the hardest Universtiy Calculus course in the sequence, even most challenging for most students than Calculus 3. This is because you will learn about many different topics, most of which have nothing to do with another. For many, it feels like you are learning about a hodgepodge of integration techniques, sequences and series convergence rules and techniques, with new concepts such as parametric equations and polar integrals throw in for good measure.
Lecture Titles
01 Inverse Trigonometric Functions
02 Derivatives of Inverse Trigonometric Functions
03 Hyperbolic Functions
04 Inverse Hyperbolic Functions
05 L'Hospital's Rule
06 Trigonometric Integrals
07 Integration By Partial Fractions
08 Arc Length
09 Area Of A Surface Of Revolution
10 Parametric Equations
11 Arc Length In Parametric Equations
12 Surface Area Of Revolution In Parametric Equations
13 Polar Coordinates
14 Polar Equations
15 Area And Length In Polar Coordinates
16 Sequences
17 Series
18 Integral Test Of Series Convergence
19 Comparison Tests Of Series Convergence
20 Alternating Series Test Of Convergence
21 Ratio and Root Test Of Series Convergence
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no pass