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# Mathematics

 Code 13637 Year 1 Semester S1 ECTS Credits 6 Workload TP(60H) Scientific area Mathematics Entry requirements Do not exist. Mode of delivery Face to face lectures. Work placements not applicable Learning outcomes The objectives of this course unit are to apply concepts and methods of differential and integral calculus in the modeling of practical situations and problem solving motivated by research in the field of pharmaceutical sciences.At the end of the course unit students should be able to apply concepts and methods of differential and integral calculus to solve practical problems. Syllabus Derivation: calculations with composite and implicit functions, derivatives of higher orders, differential. Mean value theorems (Rolle, Lagrange) and location of the extreme. Calculations with implicit derivatives and differentials. Indefinite integral: primitives, integration by parts, calculation of primitives using substitutions. Defined Integral: existence and properties, methods of calculation (chain rule, use of substitutions). Differential equations. Separable first order equations: properties and applications (autocatalysis, spread of infection). Linear equation of degree 1: Problem solving. Functions with bi-dimensional variables: Limit and continuity, definition and notation of derived functions, Clairaut’s Theorem. Differential function, examples. Differential function. Differentiable function approximation. Chain rule for functions of argument and two-dimensional calculations with functions of bi-dimensional argument (elementary examples). Main Bibliography • Cálculo com Geometria Analítica, Volume 1. e Volume 2, Louis Leithold;• Cálculo, vol. 1 e vol. 2, James Stewart, 5ª edição, CENGAGE Learning;• Cálculo, vol. 2, Howard Anton, Irl Bivens, Stephen Davis, 8ª Edição, 2007, Bookman;• Notes of Mathematics for Pharmaceutical Sciences, Alberto Simões, UBI. Teaching Methodologies and Assessment Criteria The evaluation will be periodic.There is a minimum score of 5.5 values for the student to be admitted to the exam.They will carry out 2 practical tests (T1, T2).The quotation for the various tests will be:First test (T1): 10 values.Second test (T2): 10 values.The teaching-learning (CEA) classification will be:CEA = T1 + T2The final classification (CF) will be:CF = Not allowed if CEA < 5.4CF = E if 5.5 <= CEA <9.4CF = CEA if CEA >= 9.5being E the exam classification.If fraudulent practice is detected in taking the tests, the student will be Not Admitted to the Exam.Grade Defense: If the final grade in the curricular unit is higher than 17 values, the student can choose between getting a final grade of 17 values or taking a complementary test (oral and/or written) to defend the grade on a date prior to exam. Language Portuguese. Tutorial support is available in English.

### Instructors Alberto Manuel Tavares Simões

### Course

Pharmaceutical Sciences
Last updated on: 2021-01-27

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