Provide students with basic tools of analysis for application in other disciplines that require mathematical concepts.
1. Review of fundamental concepts
2. Algebric Functions
3. Transcendental Functions
4. Continuity and limits of the functions
5. Differential calculus.
6. Theorems of derivable functions
7. Study of the Functions
8. Integral Calculus - Introduction
The lectures are descriptive with the introduction of the concepts and many examples as a way to consolidate the theoretical concepts. In practical classes, the student will be provided a statement that it must resolve in order to put into practice what was previously presented and critically grasp the concepts.
N. Piskounov, "Calculo Diferencial e Integral", Vol I, 12º Edição, Edições Lopes da Silva, Porto, 1988.
Apostol, "Calculus", Vol I , 2º Ediçao, Editora Reverté Ltda, rio de Janeiro, 1983
Murray, R.S. Piegal, "Cálculo Avançado", Colecção Shaum, McGraw-Hill, 1978
Maurice D. Weir, Joel Hass, Frank R. Giordano & Ross L. Finney, Thomas' calculus: early transcendentals : based on the original work by George B. Thomas, Jr, Pearson Addison-Wesley, 2006.