Все публикации

SageMath plotting demo

SageMath plotting demo

sagemath demo ellipse

sagemath demo ellipse evolute

2.2 number 5

2.2 number 5 integral

Proof sin(x) =

Proof sin(x) = sin(pi - x)

3.2 the derivative.

3.2 the derivative. Short calculus

3.1 Slope of

3.1 Slope of a curve. Short calculus

4.4 exercises 3-9

4.4 exercises 3-9

Exercise 10 of

Exercise 10 of section 4.3

Defining the derivative

Defining the derivative in multivariable calculus

Proof of multivariable

Proof of multivariable chain rule

Corrected proof of

Corrected proof of exp(x+y)=exp(x)exp(y)

Correct proof of

Correct proof of exp(x+y)=exp(x)exp(y)

Hints for homework

Hints for homework 4

Power series and

Power series and radius of convergence

Proof of Babylonian

Proof of Babylonian square root algorithm

State and prove

State and prove MCT (monotone convergence theorem)

Cauchy definition. Convergent

Cauchy definition. Convergent implies Cauchy

Example of monotone

Example of monotone increasing, bounded, and limit

Proof by induction,

Proof by induction, sum of squares

Proof by induction,

Proof by induction, 1+2+…+n

Real and imaginary

Real and imaginary parts converge too!

Example of two

Example of two sequences that do NOT converge, but their sum does!

Prove first limit

Prove first limit law, limit of a sum is the sum of the limits

Convergent sequences are

Convergent sequences are bounded