Mathematics I


To aquire fundamental knowlegments of Mathematics and differential Calculus.

General characterization





Responsible teacher

Maria Paula da Costa Couto


Weekly - 6

Total - 72

Teaching language



There are no prerequisites.


ANTON, Howard; Bivens Irl; Davis Stephen - Cálculo vol I e II, 8ª edição, Bookman, 2007.

Teaching method

Classes consist on an oral explanation of the theory which is illustrated by examples. Most results are proven.  Students have access to copies of the theory and proposed exercises.

Evaluation method


To obtain frequency, first-time students must attend at least two-thirds of pratical classes.

Final approval can be obtained through continuous evaluation or by final exam.


Continuous evaluation

The continuous evaluation consists of two tests whose average will be the grade of the continuous evaluation.




Final exam

A final exam is held at the time of appeal. Students may choose to on the day of the final exam repeat one of the tests (same subject, different questions) with the exam grade equal to the average of the test taken during the semester plus the test taken on the day of the exam. To repeat one of the tests, each student must communicate this intention at least one week in advance of the exam date.


Grade improvement

Anyone wishing to take the grade improvement recourse exam should apply for grade improvement.

Subject matter

1-Coordinate systems in the plane. Plane subsets defined by equations. Lines and circles. Functions of a single variable and its graph.

-Linear and quadratic functions. other elementar functions.

2-Trignometric functions: sine, cosine and tangent.

3-Exponential and logarithmic function.

4-Sequences. Arithmetic and geometric progressions.

5-Limits and derivatives.


Programs where the course is taught: