Code: | M1012 | Acronym: | M1012 | Level: | 100 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
Web Page: | https://moodle2324.up.pt/course/view.php?id=6729 |
Responsible unit: | Department of Mathematics |
Course/CS Responsible: | Bachelor in Biology |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
L:B | 166 | Official Study Plan | 1 | - | 6 | 48 | 162 |
3 | |||||||
L:CC | 1 | study plan from 2021/22 | 2 | - | 6 | 48 | 162 |
L:CTA | 56 | Plano estudos a partir do ano letivo 2016/17 | 1 | - | 6 | 48 | 162 |
L:F | 0 | Official Study Plan | 2 | - | 6 | 48 | 162 |
3 | |||||||
L:G | 54 | study plan from 2017/18 | 1 | - | 6 | 48 | 162 |
3 | |||||||
L:Q | 0 | study plan from 2016/17 | 3 | - | 6 | 48 | 162 |
SauDInoB | 38 | Current Studies Plan | 1 | - | 6 | 48 | 162 |
Teacher | Responsibility |
---|---|
Fernando Jorge Soares Moreira |
Theoretical classes: | 1,85 |
Theoretical and practical : | 1,85 |
Type | Teacher | Classes | Hour |
---|---|---|---|
Theoretical classes | Totals | 2 | 3,692 |
Fernando Jorge Soares Moreira | 3,692 | ||
Theoretical and practical | Totals | 10 | 18,46 |
Fernando Jorge Soares Moreira | 5,538 | ||
Maria Helena Pinto da Rocha Mena de Matos | 1,846 | ||
Maria João de Sousa Costa | 2,769 | ||
Maria Zélia Ramos Alves da Rocha | 6,461 | ||
Jorge Paulo Mauricio de Carvalho | 1,846 |
The aim of this course is that the student:
- masters some basic techniques of linear algebra (operations with matrices, solving linear systems) and recognizes some of its applications;
- masters some basic techniques of differential and integral calculus of one variable (calculation of derivatives, primitives and integrals, solution of differential equations) and recognizes some of its applications.
Familiarity with basic techniques of differential and integral calculus, differential equations, and matrix theory, and their applications.
Prerequisites: basic knowledge of Mathematics acquired in the secondary education system.
I. Linear Algebra
1. Real matrices; matrix operations.
2. Systems of linear equations; Gaussian elimination; chacteristic of a matrix; matrix inversion.
3. Markov chains as a mathematical model; regular chains andstationary state vector.
4. Linear regression by the least squares method.
II. Calculus
4. Polynomial, exponential, logarithmic, and trigonometric functions(review). Inverse trigonometric functions, their derivatives; l'Hôpital's rule.
5. Primitivation by substitution, change of variable, and by parts; primitivation of rational functions.
6. Area and definite integral; Fundamental Theorem of Calculus; area of regions bounded by curves; improper integrals.
7. First order differential equations: separable or linear.
8. Examples of modelling by differential equations.
1. Lectures: presentation of the course material and of examples.
2. Exercise sessions: solution of exercises by the students with the advice of the teachers; the exercises are published in advance to stimulate student work.
3. Regular office hours for student advice and clarification of doubts.
4. Besides the bibliography list, slides of the lecture notes and exercises are published on moodleUP.
designation | Weight (%) |
---|---|
Teste | 100,00 |
Total: | 100,00 |
designation | Time (hours) |
---|---|
Estudo autónomo | 106,00 |
Frequência das aulas | 56,00 |
Total: | 162,00 |
Course registration is the only requirement.
There will be two optional midterm tests during the semester, with equal weight, and duration of 1h00m, the first durin the classes period of the semester an the second on the day of the exams calendar.
To be approved by midterm tests, the sum of the corresponding ratings must be greater than or equal to 9.5.
The final exam at "época de recurso" consists of two parts, corresponding to the tests. The classification of each part is the best between that of the test and that of the corresponding exam part. These rules do not apply to all remaining exams.
Grade improvement can be attempted only through exam at "época de recurso".
(see the "Formula for the Calcultation of the Final Score")
Any type of special student evaluation may take one of the following forms: exclusively an oral examination; an oral examination plus a written examination, the student being required to pass both of them; only a written examination. The option for one of them is of sole responsibility of the professors in charge of the course unit.
(see the "Formula for the Calcultation of the Final Score")