Real powers, absolute value, roots.
Coordinates. Cartesian and
parametric equations. Sums of vectors.
Scalar and vector product.
Linear systems. Matrices and determinants. Independence, bases. Projections. Matrix of an operator. Eigenvectors.
Complex numbers. Euler Formula. Roots.
Functions and graphs. Invertible functions.
Convergent sequences and series. Binomial theorem.
Theorems about limits. Properties of continuous functions.
Differentiation. Mean Value Theorem. If the sign of f' is constant
in an interval, then f is monotonic in that interval.
f'' and convexity. Criteria for maxima and minima in stationary points.
Definite and indefinite integrals. Fundamental Theorem of Calculus.
Integration by change of variables and by parts.