Class Mathematics for Biochemistry

This Curricular Unit intends to supply Students with centenary techniques around Differential and Integral Calculus and provide its application. 

Such applicability should be read in a broader sense: In general, mental schemes types require clear technical tools throughout the academic course. 

1.      Introduction to Natural, Integer, Rational and Real numbers. Main properties.

2.      Real sequences: Monotone and limited sequences. Convergent sequences. The number e.

3.      Functions:  Domain. Codomain and graphic.  Sum, product and composition of functions. Inverse function and its graphic representation.

4.      The exponencial function and its inverse.

5.      Limits, Continuity and Differenciability.

6.     Local Extremes and inflection points

7.     Real Functions with vectorial variables. Domain, Tangent plane and local extreme points.

8.   Antiderivation: Basic techniques. Rational functions.

9.                Integration of real functions: The fundamental theorem of integral calculus

               Classification of improper integrals. 

10. Integration in space. Calculation of volumes

If time allows, some topics emerging from the cycle of studies (Biochemistry) will be modelated and ultimately solved using methods (namely, Differential Equations) that though  not included in syllabus shae affinity and will motivate the student towards some mathematical sophistication.

- Apostol, T. (1994). Cálculo (Volume I). Editora Reverte. 

- Sárrico, C. (1999). Análise Matemática ¿ Leitura e exercícios. Col. Trajectos Ciência 4, Gradiva, 

Lisboa.