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Mathematics

Code 10234
Year 1
Semester S1
ECTS Credits 6
Workload T(30H)/TP(30H)
Scientific area Mathematics
Mode of delivery Classroom
Learning outcomes In this course we will explore the key ideas of differential and integral calculus relevant to the Life Sciences

The student will work examples, analytic and graphically, and it is hoped that he will be able to communicate orally, discuss and write in a clear and organized way. -Apply the basics of differential calculus.
-Calculate the mean values ??of functions.
-Apply the concept of partial derivatives to solve optimization problems and linear approximation of functions of several variables.
-Identify and solve Ordinary Differential Equations and interpret the solutions.
-Demonstrate skills of effective oral and written communication, presenting ideas in a clear, logical and organized, supported by the correct use of notations.
-Using new technologies to show computational capacity to solve problems.
-Demonstrate resourcefulness in self-study, showing ability to study independently.
Syllabus 1. Review on the study of real functions of one variable.
2. Differential Calculus in R
2.1 Limits and continuity
2.2 Differentiation
2.3 Applications
3. integral calculus
3.1 Primitives
3.2 Fundamental Theorem of Calculus
3.3 Applications
4. Differential calculus in Rn
4.1 Partial derivatives
4.2 Applications
5. Ordinary Differential Equations
5.1 In the 1st and 2nd order
5.2 Applications
Main Bibliography - Maths for Chemists Vol. I, M. C. R. Cockett e G. Doggett, The Royal Society of Chemistry, 2003.
- Introduction to Mathematics for Life Scientists, E. Batschelet, Springer-Verlag, 1979.
- Cálculo I, J. Stewart, Pioneira Thomson Learning, São Paulo (4ª ed), 2004.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2012-05-17

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