1. To know basic functions’ properties.
2. To understand the differential calculus concepts necessary for the study of functions; to relate derivative with linear approximation and velocity.
3. To understand Taylor expansion as a key tool to approximate functions with features located at a point and to be able to generalize the notion of polynomial approximation in other contexts.
4. To associate power series with the limit of Taylor expansions, to use convergence criteria and to know power series expansions.
5. To manipulate antiderivative methods as an basic tool for integral calculus. To associate the value of the integral of a function with its average and to know the basic applications. Manipulate indefinite and improper integrals.
6. To solve separable differential equations and 1st order linear equations, as particular cases of direct integration.
7. To understand application models leading to differential equations and to interpret results in their context.

Curricular Unit Form