Unit PHYSICS AND MATHEMATICS
- Course
- Pharmacy
- Study-unit Code
- A000247
- Location
- PERUGIA
- Curriculum
- In all curricula
- Teacher
- Michele Pauluzzi
- CFU
- 9
- Course Regulation
- Coorte 2017
- Offered
- 2017/18
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
MATHEMATICS
| Code | 55106206 |
|---|---|
| Location | PERUGIA |
| CFU | 3 |
| Teacher | Roberta Filippucci |
| Teachers |
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| Hours |
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| Learning activities | Affine/integrativa |
| Area | Attività formative affini o integrative |
| Academic discipline | MAT/05 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | Sequences and functions of a single variable. Examples of elementary functions and biological models. Limits, differentiability, monotonicity, concavity and convexity. Graphs of functions. Riemann integral, integral function. Integration techniques. |
| Reference texts | - Benedetto, degli Esposti, Maffei, Dalle funzioni ai modelli (il calcolo per le bioscienze), Casa editrice Ambrosiana - Bigatti, Robbiano, Matematica di base, Casa Editrice Ambrosiana |
| Educational objectives | The student should acquire a basic knowledge in mathematical analysis. the textbooks used are rich of examples and counterexamples, and therefore seem to be optimal to achieve a good understanding of the topics starting from exercises, that is from applications. Main knowledge acquired will be: - To know the main topics of mathematical analysis and how to apply them to the natural sciences, - To know several tools to solve elementary and basilar exercises, - To read and understand texts of Mathematical Analysis - To work in teams, but also in autonomy. The skills listed above are set out in the framework of the professions related to both traditional Pharmacists, and generic pharmacy graduates oriented to technical and/or industrial activities. Main competence (i.e. ability to apply the main knowledge acquired) will be: - To apply the theory to the resolution of exercises or problems based on models developed during lessons - To solve some easy mathematical problems in the field of applied mathematics, indipendently. |
| Prerequisites | To better understand the topics covered in the course the student should be familiar with pre-university education notions such as decomposition of simple algebraic expressions, set theory (union, intersection, complement, difference, Venn diagram, algebra of sets), resolution of linear and quadratic equations and inequalities, manipolation of polynomials. |
| Teaching methods | The course is split in theoretical lessons and practical lessons, in these latter several exercises are carried out in class. The course is organized as follows: 9 hours of theory, together with different examples and counterexamples and 12 hours of practical exercises. In the tutorial service the students will be followed individually by the teacher. |
| Other information | The teacher makes available educational materials at the web page, useful for a better understanding of the course, in order to help and to let the students pass easily the exam. Furthermore all the previous written tests can be found at the web page http://www.dmi.unipg.it/filippucci/esamiFarmacia.htm, in this latter web page you can find also the results of the written test and the date of the relative oral exam. |
| Learning verification modality | The exam is a written exam with open answer. In particular the written test consists of solving 3 or 3 exercises on topics which cover all the programme fThe time to solve the written test is about 2 hours. Exercises assigned are modelled on those solved during the lessons. The written exam is designed to assess the ability of solving concrete or teoric problems. The written test is positively concluded if the grade is greater or equal to 18. Eventually the written test can be replaced by progress assessments. Furthermore, only under the request of the student, an oral exam can be performed after having concluded positively the written test. In this case the oral exam consists of a discussion on two or three topics on all the programme, mainly starting from exercises, and takes about 20 minutes. The oral test is designed to assess the level of knowledge attained by the student on the theoretical contents and on and counterexamples). Finally, the oral examination allows the teacher to verify the performance of the student and his/her ability to organize the presentation in autonomy. |
| Extended program | Sequences, converging sequences. Functions of a single variable. Examples of elementary functions and biological models. Limits, continuous functions, differentiability, Fermat's theorem, Rolle's theorem, Lagrange's theorem, increasing and decreasing functions, concave and convex functions. Graphs of functions. Riemann integral: definition and properties, integral function and its properties. The fundamental theorem of integral calculus, mean value theorem of integral calculus. Integration by parts. Change of variable in an integral. |
PHYSICS
| Code | A000371 |
|---|---|
| Location | PERUGIA |
| CFU | 6 |
| Teacher | Michele Pauluzzi |
| Teachers |
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| Hours |
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| Learning activities | Base |
| Area | Discipline matematiche, fisiche, informatiche e statistiche |
| Academic discipline | FIS/07 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | Introduction: fundamental units, vectors and scalars. Kinematics and Mechanics: Newton laws; Forces, Work and Energy; Momenta, Collisions; Rigid bodies and Rotational motions. Fluid mechanics and Dynamics. Electricity and Magnetism: Electric field, Magnetic field, Maxwell laws |
| Reference texts | recommended: Serway & Jewett, Principi di Fisica Vol. I, EdiSES editore Alternatively: James S. Walker, Fondamenti di Fisica Vol.I e II, Zanichelli |
| Educational objectives | The main goal of the moduls consists in fundamental classical Physics knowledge.The most important competences (i.e. the ability to apply the acquired knowledge) will be:applying basic Physics in the solution of Physics (and non Physics) problems;applying this theoretical knowledge to address problems related to this Course of Studies;developing the ability of building instruments and methods in the study of theoretical concepts and in their application, when facing new situations |
| Prerequisites | In order to be able to understand and apply the majority of the subjects addressed within the course, it is useful to have attended to the Mathematics course, and possibily have successufully passed the exam.Topics of the module do require the ability to solve simple limits, derivatives and integrals. |
| Teaching methods | Module lessons are held by the professor, twice a week, and consist of two hour front lessons and practical exercises and applications covering Physics problems. |
| Learning verification modality | The exams consists of a written test and an oral one.The written test consists on the solution of one-two Physics problems. The tests has a duration of about 2 hours. It is designed in such a way to evaluate the understanding of the theoretical knowledge as well as the ability to correctly apply it in the solution of the proposed issues.The oral exam consists in an interview lasting about 15 to 30 minutes, aiming at ascertaining the knowledge level and understanding acquired by the student on the theoretical content of the course, evaluating as well the student communication skills. |
| Extended program | 1. KINEMATICS AND MECHANICS 1.1. Introduction to Physics Fundamental quantities, Dimensional analysis. 1.2. Vectors Scalar and vector quantities. Properties of vectors. 1.3. Motion in one and two dimensions Displacement, Velocity and instantaneous velocity vector. Acceleration and instantaneous acceleration vector. Kinematic equations. Motion with constant velocity and motion with constant acceleration. Free falling objects. 1.4. Forces and Newton?s Laws Newton?s first law. Concept of force and its properties. Inertial mass. Newton?s second law. Newton?s law of universal gravitation and weight. Newton?s third law. Normal forces. Forces of friction. Tension. Circular motion: angular velocity, centripetal acceleration, period. Nonuniform circular motion: tangential and centripetal acceleration. Centripetal forces. 1.5. Work, Energy, Oscillations Work done by a force. Kinetic energy. Kinetic energy theorem. Conservative forces and Potential energy. Conservation of mechanical energy. Conservation of Energy in general. Elastic forces: work and conservation of energy. Harmonic motion in one dimension. Pendulum. 1.6. Linear momentum and collisions Linear momentum and impulse. Internal and external forces. Conservation of linear momentum. Elastic and inelastic collisions in one and two dimensions. Center of mass. 1.7. Introduction to Rotational kinematics and dynamics. Momentum. Angular and linear quantities. Moments of inertia. Conservation of angular momentum. 2. FLUID MECHANICS 2.1. Hydrostatics and Fluid dynamics Fluids. Density. Pressure and Stevin?s law. Pascal?s law. Archimedes?s principle. Dynamics of ideal fluids: equation of continuity, Bernoulli?s equation. 3. ELECTRICITY AND MAGNETISM 3.1. Electrostatics Electric charges. Coulomb?s law. Insulators and conductors. Electrostatic field; Electric field lines and Gauss?s law for point charge or a charge with spherical or planar symmetry. Electric potential and potential energy due to point charges. Potential differences. Capacitance. Capacitance for planar capacitors. Energy stored in a charged capacitor. 3.2. Currents and resistence Electric current. Resistance and Ohm?s law. Electrical power. Direct current circuits with resisters in series and in parallel. 3.3. Magnetic fields Magnetic field. Lorentz?s force. Motion of a charged particle in magnetic and electric fields; applications. Magnetic force on a current-carrying conductor. Biot-Savart Law. Ampere?s law and magnetic field of a current-carrying rectilinear conductor. Magnetic forces between two parallel conductors. 3.4. Elettromagnetic induction Electromagnetic induction: Faraday?s law. Inductance. Mutual inductance. Self inductance. Induced emfs and electric fields: generalized Ampere?s law 3.5. Maxwell?s equations |