Course Videos
You can find my videos here: https://www.youtube.com/@bevinmaultsby
In particular, here are my videos for the following courses...
MA 241 Single Variable Calculus II -- full semester course:
https://www.youtube.com/playlist?list=PLBEl4BT8wUgPasvgpQZ2ustikfBCbavYd
Here are certain topics of interest:
- Applications of Integration (arc length, average value, work done lifting objects, quick example of pulling up a rope, springs and Hooke’s law, work done pumping fluid from a tank, force due to hydrostatic pressure, center of mass)
- Techniques of Integration (u-sub, integration by parts, trigonometric integrals, trig substitution, partial fractions, Trapezoidal Rule, Simpson’s Rule, improper integrals)
- Sequences and Series (sequences of numbers, convergent sequences, theorems about convergent sequences, series of numbers, convergent series, tests for convergence and divergence, absolute convergence, power series, Taylor Series)
- Ordinary Differential Equations
- 2nd Order ODEs and the Method of Undetermined Coefficients
MA 242 Multivariable Calculus/Calculus III -- full semester course:
https://www.youtube.com/playlist?list=PLBEl4BT8wUgOqJCBijQxClMIuumgtMinc
Index here: https://maultsby.wordpress.ncsu.edu/multivariable-calculus-complete-semester-course/
- Introduction to Vectors
- Calculus on Parametric Curves
- Differential Multivariable Calculus
- Double and Triple Integration
- Line Integrals
- Surface Integrals
MA 341 Applied Differential Equations (in progress) -- intended as a supplement:
https://www.youtube.com/playlist?list=PLBEl4BT8wUgPsjfEmDorZwz0Ql5FU-aP7