1. Drawing: y = x 2+3x+2: ezplot ('x 2+3 * x+2')

2. Find the limit: lim (x-> 0)sinx/x: syms x limit (sin(x)/x, x, 0).

3. Find the derivative: y=sin x y'=? diff(sin(x)) y''=？ diff(diff(sin(x)))

4. Find indefinite integral: ∫lnxdx=? int(log(x))

5. Find the definite integral: ∫[0, π/2]sinxdx=? int(sin(x)，x，0，pi/2)

6. Find the partial derivative: z=sin(x+xy) z'x=? :syms x y z=sin(x+x*y) diff(z，x) z'y : diff(z，y) z''xy=？ :diff(diff(z，x)，y)

7. Multiple integral: ∫ [0, 1] dx ∫ [0, x] xydy: int (x * y, y, 0, x), x, 0, 1)

8. Infinite series: ∑ [k = 1, +∞]1[k (k+1)] symskf =1(k * (k+1)); s=symsum(f，k， 1，inf)

9. Solve the differential equation: (y')2-xy'+y = 0:y = d ('(dy) 2-x * dy+y = 0',' x').

10. freire transform, Laplace transform, inverse transform, etc.

Linear algebra:

Including determinant calculation, matrix addition and subtraction, transposition, number multiplication, multiplication, left division, right division, inversion, eigenvalue decomposition, rank calculation, ladder type, equation solution and so on.

Probability statistics:

Including binomial distribution, normal distribution, exponential distribution, χ 2 distribution and other distribution functions, random number generation interactive interface and many other contents. Because there are too many examples, I won't list them. Please read related books.