Understand, visualize and manipulate different elementary functions, like power functions, roots, polynomials, trigonometric functions, exponential and logarithmic functions;
Understand, visualize and solve equations and inequalities involving these elementary functions;
Understand the concept of differentiation and calculate the derivatives of compositions of elementary functions;
Understand the concept of integration and to use some elementary integration techniques;
Understand, visualize and manipulate geometric objects in the plane, such as vectors, lines, circles and more general curves.