|Responsible unit:||Mathematics Section|
|Course/CS Responsible:||Master in Informatics and Computing Engineering|
|Acronym||No. of Students||Study Plan||Curricular Years||Credits UCN||Credits ECTS||Contact hours||Total Time|
|MIEIC||186||Syllabus since 2009/2010||1||-||6||70||162|
|Rui Paulo Soares Ribeiro|
This course aims to acquaint students with the differential and integral calculus, in order to make them able to apply basic tools of mathematical analysis in problem solving related with subjects of this degree. This course also aims to expand students’ knowledge, so that they can solve new kinds of problems. At the end of this course, the learning outcomes are: 1. To solve derivatives of functions, draw graphics and study functions in general 2. To solve integrals and use them in various engineering applications 3. To use different integration techniques and differential equations 4. To use series and polynomials, to dominate the approximation concepts.
As a result of this course,one the students shouldbe aquainted with teh folloing matters:
1. To solve derivatives of functions, draw graphics and study functions in general
2. To solve integrals and use them in various engineering applications
3. To use differential equations and Laplace tranforms
4. To use series and polynomials, to dominate the approximation concepts.
Knowledge of pre-calculus at the level of the high school program of Math A
2- Applications of differenciation
a. Maxima, minima, function growth, concavities
c. Applications to engineering problems
a. Indefinite integral
b. Definite integral
c. Fundamental Theorem
4- Integration Techniques
5- Application of integration
6- Differential Equations
a. First Order Differential Equations
b. Second Order Differential Equations
7- Laplace Transforms and their use to solve differential equations
a. Convergence criteria
b. Trigonometric series, power series ...
9- Function approximation
a. Taylor series
b. Fourier series
At the theoretical lectures (T) one presents and discusses the proposed program at a theoretical level with the support of applied examples. The theoretical and practical classes (TP) are intended for analysis and applied problem solving by the students. One aims to use the acquired skills in the theoretical lectures to address, and correctly solve, the typical examples and problems. This methodology allow us to evaluate the student´s skills, the level of acquired knowledge and the mathematical reasoning to solve the problems with increasing level of complexity.
|Frequência das aulas||70,00|
In order to attend the mini-test ,the students need to to be in conformity with the general standards of evaluation of FEUP.
It is mandatory to attend ALL the partial exams (mini-tests)
All registered students are allowed to attend partial exams.
Students, who are repeating the course, do not need to attend classes. However, they have to attend to the mini-tests.
The final grade will be calculated taking into account the weighted average ratings of the four mini-tests:
- 10% for the mini-test with the lowest grade among the four
- 30% for each of the other three
Each mini-tests has equal weight in the final grade. In the case of an “appeal exam” on the subject of a specific mini-test, the grade obtained in the later replaces the marks obtained in the corresponding mini-test in the calculation of the final grade. In the case of a “appeal exam” on the entire matter, the student waives the classification previously obtained in the mini-tests and the final grade will be the one obtained at the “appeal exam”.
Four assessment mini-tests (closed-book) will take place during the semester. The date, time, duration and classrooms of the assessment tests, as well as for the appeal test, will be communicated well in advance in the file “Avisos” of the discipline´s site at SIFEUP
It will be done through special examination, provided that it is required at convenient dates. Students with special conditions (TE, DA, ..), although exempt of classes, MUST realize the mini-tests and submit themselves to the rules of the general evaluation of the course
To the appeal exam are admitted the students who have obtained frequency, the ones that attended the mini-tests and DID NOT obtained more than 9.5 points on a scale of 0 to 20 in the weighted average of mini-tests. On appeal the student may repeat the evaluation on the subject of ONE of mini-tests of their choice, or choose for the appeal on the entire matter.
Language of instruction is Portuguese.