Evan Camrud, PhD - VideoAndMovie

This channel contains the lecture videos for my mathematics courses.

Surface areas and volumes obtained by rotations

31:04

Surface areas and volumes obtained by rotations

Arc lengths and areas of planar curves and regions

31:52

Arc lengths and areas of planar curves and regions

Applications of power series

36:59

Applications of power series

The Taylor series

40:20

The Taylor series

Convergence tests for infinite series

34:56

Convergence tests for infinite series

Convergence tests for improper integrals

34:56

Convergence tests for improper integrals

$Summation via partial fraction decomposition$

26:45

Summation via partial fraction decomposition

Integration via trigonometric substitution

31:25

Integration via trigonometric substitution

Integrating trigonometric polynomials

30:59

Integrating trigonometric polynomials

$Integration via partial fraction decomposition$

38:23

Integration via partial fraction decomposition

Polar curves in the plane

19:00

Polar curves in the plane

Parametric curves in the plane

40:12

Parametric curves in the plane

Dynamics in 2 dimensions

29:50

Dynamics in 2 dimensions

Equilibria, improper integrals, and infinite series

44:08

Equilibria, improper integrals, and infinite series

Finite-time blow-up, and improper integrals revisited

34:40

Finite-time blow-up, and improper integrals revisited

Separable ordinary differential equations

28:08

Separable ordinary differential equations

Initial value problems

29:46

Initial value problems

Dynamics

37:10

Dynamics

Summation by parts, and the power rules for summation

25:02

Summation by parts, and the power rules for summation

Telescoping sums, and re-indexing

30:08

Telescoping sums, and re-indexing

Summation

30:25

Summation

Common rules of finite differences

32:12

Common rules of finite differences

Finite differences

21:53

Finite differences

Sequences and indexing

22:08

Sequences and indexing

Intuition for integration techniques

30:31

Intuition for integration techniques

Integration by parts

31:20

Integration by parts

Integration by (u-)substitution

30:15

Integration by (u-)substitution

The (continuous) integral

19:28

The (continuous) integral

Common rules of the (continuous) derivative

34:47

Common rules of the (continuous) derivative

The (continuous) derivative

29:40

The (continuous) derivative