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Be English-friendly or any other language-friendly means that UC is taught in a language but can either of the
following conditions:
1. There are support materials in English / other language;
2. There are exercises, tests and exams in English / other language;
3. There is a possibility to present written or oral work in English / other language.
1
6.0
18.0 h/sem
0.0 h/sem
36.0 h/sem
0.0 h/sem
0.0 h/sem
0.0 h/sem
1.0 h/sem
55.0 h/sem
95.0 h/sem
0.0 h/sem
150.0 h/sem
Since year
2017/2018
Pre-requisites
NA
Objectives
This curricular unit aims to develop competencies in the field of calculus. CU intends to promote a proper learning of mathematical tools in the field of optimization and the development of skills in order to apply in practical problems of industrial management and logistics.
Program
1. Extreme of functions of more than a variable 1.1 Definitions and generalities 1.1.1 Maxima and minima of functions of more than a variable 1.1.2 Conditioned Extremes 1.1.3 Maxima and minima of implicit functions 2. Series 2.1 Numerical Series 2.1.1 Definitions and examples 2.1.2 Convergence 2.2 Series of Functions and Power Series 2.2.1 Mac-Laurin / Taylor Development 3. Integral calculus 3.1 Anti-derivatives 3.2 Concept and integral calculus 3.3 Calculation of areas. 4. Introduction to ordinary differential equations 4.1 Definitions and generalities 4.2 Separable first-order differential equation, Linear first-order differential equation, Bernoulli equation, First order homogeneous differential equation and Exact Differential Equation 4.3 Qualitative Analysis of Differential Autonomous Equations.
Evaluation Method
The continuous assessment (80% attendances), in Regular Season, comprises: 1. Mid-term test (40%); 2. 2 Evaluations in Groups of 2 elements (10% + 10%); 3. Final test (40%). Minimum mark for grading 8.0 valores for any item in continuous assessment. Exam - is made by an exam in the first season of exams. Students with no approval at the CU have the second season of exams. Students with mark greater than 16 valores shall go for an oral defense. Attention see: Observations.
Teaching Method
The learning methodologies (LM) used for this course are: LM1. Expositional: presentation of theoretical concepts LM2. Participative: analysis and resolution of exercises and problems LM3. Active: with the realization of group works LM4. Self-study, autonomous work by the student, according to course schedule. The assessment is two folded: the continuous evaluation and the exams.
Observations
Basic Bibliographic
Hughes-Hallett, Gleason, McCallum, et. al. (2005), Calculus, Single and Multivariable, Wiley
