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Elements of Mathtematics II
Scholar Year: 2019/2020 - 2S
| Code: |
SEC03 |
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Acronym: |
EMII |
| Scientific Fields: |
Matemática |
Courses
| Acronym |
N. of students |
Study plan |
Curricular year |
ECTS |
Contact time |
Total Time |
| IPESEC |
|
|
1º |
6,0 |
|
162,0 |
| TSPSEC |
37 |
|
1º |
6,0 |
|
162,0 |
Teaching language
Portuguese
Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)
Provide students with the basic mathematical knowledge required in the professional training of a professional higher technician.
Syllabus
1. Antiderivatives
1.1 Definition and properties. Immediate antiderivatives.
1.2 Methods:
1.2.1 Parts;
1.2.2 Decomposition;
1.2.3 Substitution.
2. Integral Calculus
2.1 Riemann integral. Properties.
2.2 Indefinite integral. Properties. Fundamental Theorem of Calculus, Barrow’s formula.
2.3 Integration by parts and integration by substitution.
2.4 Areas and volumes of solids of revolution.
2.5 Improper integrals.
Teaching methodologies
The classes are theoretical-practical. The fundamental concepts of the different subjects of the program are presented. Exercises are also solved in way to illustrate the topics covered. Under the guidance of the teacher, students will carry out a series of exercises that will allow them to gain a deeper understanding of the topics covered.
Assessment methodologies and evidences
The use of the Curricular Unit (UC) can be obtained through two evaluation processes: Continuous Assessment and Examination Evaluation.
Continuous Evaluation
The continuous evaluation is based on the performance of two tests and four mini tests (with grades rounded to tenths). Access to continuous assessment requires attendance of at least 75% of classes up to the first test and another 75% between the 1st and 2nd tests.
Assigning by T1 and T2 the scores (from 0 to 20 values, rounded to the tenths) obtained in the 1st test and in the 2nd test and MT1, MT2, MT3 and MT4 the scores (from 0 to 20 values, rounded to the tenths) obtained in the 1st , 2nd, 3rd and 4th mini tests, the final grade CF (rounded to the units) will be calculated as follows:
If the mean of the test scores is greater than or equal to 8:
CF=[(T1+T2)/2]*0.75+[(MT1+MT2+MT3+MT4)/4]*0.25
If the mean of the test scores is lessl to 8:
CF=(T1+T2)/2
The approval conditions for continuous assessment are as follows:
1. If CF (rounded to the units) is greater than or equal to 10 and less than 17, the student is approved with a final grade equal to CF.
2. If CF (rounded to the units) is greater than or equal to 17, the student will have to take an oral test, the final grade being the average of these two marks. If you do not attend the oral test the final classification will be 16 values.
3. If CF is less than 10, the student can perform the recovery of the test with the lowest grade, on the same day and time of the normal period exam, having to previously choose to perform the recovery test or the exam.
Remark:
If the student is not able to perform one of the tests and through justification presented to the responsible teacher of the UC (personally or via email), or if the student give up one of the tests, the student can only recover that test.
Examination Evaluation
The examination evaluation is based on the performance of an examination. The conditions of approval being as follows:
If E is the grade obtained in the exam (rounded to the units),
1. If E (rounded to the units) is greater than or equal to 10 and less than 17, the student is approved with a final grade equal to E.
2. If E is greater than or equal to 17, the student will have to take an oral test, obtaining as a final mark the average of the classifications of said oral test and the exam. If you do not attend the oral test, the final grade will be 16 points.
Grade improvement
According to Article 11 of the IPS Student Performance Assessment Guidelines, the improvement of classification may occur in the school year of enrollment, at the time of appeal, or in the school year following that of approval, at any time examination, with the exception of the special season.
Observations:
. The tests last for 1 hour and 30 minutes, the minitestes last for 25 minutes and the exams last for 2 hours and 30 minutes, all of them being developmental.
. Students covered by article 217 of the Rules of Academic Activities and Guidelines for Assessment and School Performance of Students of the IPS must, by the second week of the beginning of the semester, contact the responsable for the course, in person or by email carla.rodrigues @ estsetubal.ips.pt, in order to present their specific characteristics, under the terms established in the respective diplomas, failing which they can not be executed due to lack of objective conditions.
Dates and times of evaluation: subject to confirmation
Mini test 1 - week 11 to 15 March
Mini test 2 - week 1 to 5 April
Mini test 3 - week 13 to 17 May
Mini test 4 - week 17 to 21 June
Test 1: April 18
Test 2: June 13
Exam of Normal Season: July 1, 2019 at 14:00 pm
Time Period Exam: July 15, 2019 at 14:00 pm
Special Time Exam: date to be defined by the Pedagogical Council
Attendance system
The Continuous Assessment presupposes a compulsory attendance between tests of at least 75% of classes.
Workers, high-level athletes, association leaders and students under the Religious Freedom Act must apply to the Head of the Curricular Unit until the second semester of the semester to present their specific characteristics, in accordance with the respective diplomas otherwise they will not be enforced due to lack of objective conditions.
Assement and Attendance registers
| Description |
Type |
Time (hours) |
End Date |
| Attendance (estimated) |
Classes |
0 |
|
| |
Total: |
0 |
Bibliography
Bibliografia base:
- Sérgio Fernandes; Cálculo Integral em R, Departamento de Matemática, 2019.
Bibliografia complementar:
- Azenha, Acilina e Jerónimo, M. A.; Cálculo Diferencial e Integral em R e R^n, McGraw-Hill, 2000.
- Fernanda Sequeira; Análise Matemática 3º Volume - Exercícios Resolvidos e Propostos, Litexa Editora, 1982.
Bibliografia para revisões:
- Textos de Apoio editados pelo Departamento de Matemática (disponíveis na página da UC).
Observations
• Each mini-test has a duration of 25 minutes, each test lasts 90 minutes and the exam lasts 2 hours and 30 minutes.
• The use of mobile phones or any other means of remote communication during the tests (mini-tests, tests or exams) is not allowed or shown as a reason for canceling the test, regardless of whether or not themselves.
Tests
• Students must perform the test resolution on their own IPS sheets, by first purchasing the test booklet (1 cover and 4 continuation sheets) in the reprography.
Exams
It is mandatory to enroll in the examinations up to one week before the date of its accomplishment. The registration for the exams (namely Normal and Appeal Season) obeys the following procedures:
• The student makes the registration for the exam in the reprography, writing his number and name in the registration form corresponding to his course, which is in a file and delivers the examination book without filling it.
• On the day of the exam, the students must be the student card holder, which will serve as an identification element. In case they do not have a student card, they must present the Identity Card / Citizen Card, or document with photograph and similar identification value.
• The abandonment of the room in case of withdrawal can only be done one hour after the start of the examination and will imply the final delivery of the test. • No proof or written questions are accepted in pencil.
• It is allowed to consult an A4 sheet handwritten by the student himself in the exams.
Face-to-face timetable for questions: Friday from 11am to 1pm in the E313 office.
• Communication with students is done exclusively for the institutional address (@ students.ips.pt). It is up to the student to consult his area in the information system, as well as to manage and periodically consult his email account in the IPS domain, using it to communicate with the IPS services.
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