Mathematical Analysis

Base Knowledge

Mathematics of secondary school.

Teaching Methodologies

  • Theoretical-practical classes based on the oral presentation of theoretical concepts and critical discussion of their application to the resolution of exercises.

Learning Results

The objective of this Curricular Unit is to promote, in the student who successfully completes it, the skills listed below. As a result of the learning process, the student: 1. Masters the fundamental concepts of differential and integral calculus and the aspects related to their applications; 2. Identifies and solves 1st order ordinary differential equations.

Program

Competence 1:
1.1. Derivatives
1.2. Antiderivative
1.3. Definite integrals
1.4. Areas and volumes by applying definite integrals
1.5. Improper integrals

Competence 2:
2.1. Differential equations of separable variables
2.2. Linear differential equations
2.3. Bernoulli differential equations

Curricular Unit Teachers

Internship(s)

NAO

Bibliography

Support materials for the Curricular Unit available on the inforStudent platform (https://inforestudante.ipc.pt)

Ferreira, M. & Amaral, I. (2018). Primitivas e Integrais. Edições Sílabo.

Almeida, R., & Simões, R. (2017). Cálculo Teoria e Exercícios. Plátano Editora.

Almeida, R., & Simões, R. (2014). Primitivas. Escolar Editora.

Ávila, G. (2011). Cálculo das funções de uma variável, Volume 1. LTC.

Farlow, J. (2006). Introduction to Differential Equations and Their Applications. Dover Publications Inc.

Munem, A., & Foulis, J. (2005). Cálculo, Volume I. Rio de Janeiro: Guanabara.

 

Interesting links:

Math is fun

https://www.mathsisfun.com/

WolframAlpha

https://www.wolframalpha.com/examples/mathematics/calculus-and-analysis/

Integral Calculator

https://www.integral-calculator.com/

eMathHelp

https://www.emathhelp.net/calculators/calculus-2/

https://www.emathhelp.net/calculators/calculus-1/online-graphing-calculator/