| Code |
13637
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| Year |
1
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| Semester |
S1
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| ECTS Credits |
6
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| Workload |
TP(60H)
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| Scientific area |
Mathematics
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Entry requirements |
Do not exist.
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Mode of delivery |
Face to face lectures.
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Work placements |
not applicable
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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.
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Syllabus |
1 Differential Calculus of Real Functions of Real Variable
1.1 Definition of Derivative
1.2 Higher Order Derivative
1.3 Application of Derivatives
2 Integral Calculus
2.1 Primitives
2.2 Integrals
2.3 Improper Integrals
3 Real Functions of Several Variables
3.1 Introduction
3.2 Functions, Scalar and Vector Fields
3.3 Limits
3.4 Continuity
3.5 Exercises
3.6 1st Order Partial Derivatives
3.7 Differentiability
3.8 Tangent Plane. Linearization
3.9 Directional Derivative
3.10 Higher Order Derivatives. Schwarz theorem
3.11 Derivative of the Composite Function. Implicit Function
3.12 Free and Conditioned Extremes
4 Integral Calculus in Rn
4.1 Double Integral
4.2 Triple Integral
4.3 Variable change
5 Differential Equations
5.1 First notions
5.2 Equations of Separate Variables
5.3 Homogeneous Differential Equations
5.4 Exact Differential Equations
5.5 Integrating Factor Method
5.6 Linear Differential Equations
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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.
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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 written face-to-face 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 + T2
The final classification (CF) will be:
CF = Not allowed if CEA < 5.4
CF = E if 5.5 <= CEA <9.4
CF = CEA if CEA >= 9.5
being E the exam classification.
If fraudulent practice is detected in taking the tests, the student will be Not Admitted to the Exam.
The only exceptions to the application of the assessment criteria apply to Student-Workers and Military Students with respect to attendance. These students are exempt from compliance with the attendance criteria, being able to attend classes according to their availability.
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Language |
Portuguese. Tutorial support is available in English.
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