a. To understand the concept of real number and its implications, mainly the concept of limit.
b. To understand and manipulate series of real numbers.
c. To identify functions, their dependence on variables and their basic properties (monotony, parity, continuity, differentiability).
d. To master the basic operations of Calculus: limits, derivatives, integrals and Taylor expansions.
e. To interpret the derivative as rate of variation of a function, and the integral as an area.
f. To understand the Taylor polynomial as the best polynomial local approximation for a sufficiently smooth function, and to apply that approximation to simple cases.
g. To be able to graph simple functions.
h. To be able to solve simple optimization problems.