Code |
10234
|
Year |
1
|
Semester |
S1
|
ECTS Credits |
6
|
Workload |
T(30H)/TP(30H)
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Scientific area |
Mathematics
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Entry requirements |
Do not exist.
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Mode of delivery |
Classroom
|
Learning outcomes |
In this course we will explore the key ideas of differential and integral calculus relevant to the Life Sciences The student will work examples, analytic and graphically, and it is hoped that he will be able to communicate orally, discuss and write in a clear and organized way. -Apply the basics of differential calculus. -Calculate the mean values ??of functions. -Apply the concept of partial derivatives to solve optimization problems and linear approximation of functions of several variables. -Identify and solve Ordinary Differential Equations and interpret the solutions. -Demonstrate skills of effective oral and written communication, presenting ideas in a clear, logical and organized, supported by the correct use of notations. -Using new technologies to show computational capacity to solve problems. -Demonstrate resourcefulness in self-study, showing ability to study independently.
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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; • Notas de Matemática para Ciências Farmacêuticas, 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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