Calculus lab

Numerical and graphical tools to check your hand work: plot a function with its derivative and tangent line, explore limits, run Newton's method and bisection, compare Riemann sums with the trapezoid and Simpson rules, watch partial sums of a series, build Taylor polynomials with the error bound, test an antiderivative by differentiating it, and get the critical points and inflection points of a curve.

Write functions like in a calculator: x^3 - 3*x, sin(x)/x, exp(-x^2), sqrt(x), log(x) (natural log), pi. Numerical output is evidence, not proof: the exam asks for exact answers and justification.