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B000355 - CALCULUS AND LABORATORY
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Teaching Methods
Type of Assessment
Course program
Academic Year 2012-13
Coorte 2012 - 3-years First Cycle Degree (DM 270/04) in PLANT NURSERY SCIENCES, ENVIRONMENT AND GREEN AREAS MANAGEMENT
Course year
First year - First Semester
Belonging Department
Agriculture, Food, Environment and Forestry (DAGRI)
Course Type
Single education field course
Scientific Area
MAT/05 - MATHEMATICAL ANALYSIS
Credits
12
Teaching Hours
96
Teaching Term
24/09/2012 ⇒ 14/12/2012
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
ITALIANO
Course Content
Basic instruments of differential and integral calculus for functions of one real variable. Basic functions. Limits and continuity. Derivative, its geometrical interpretation, its meaning in the applied sciences. Basic theorems and methods of differential calculus. Definite integral, its meaning in terms of area and in the applied sciences. Fundamental theorem of calculus.
Suggested readings (Search our library's catalogue)
Textbooks:
M.Longinetti, Lezioni di Analisi Matematica 1- Pitagora editrice Bologna;
M.Longinetti-A.Venturi , Temi e Soluzioni di prove scritte di Matematica, Edizioni CUSL Firenze;
M.Longinetti-D.Pagani: Corso di sostegno di matematica, dispense
M.Longinetti: Laboratorio di Matematica, dispense on line
M.Longinetti, Lezioni di Analisi Matematica 1- Pitagora editrice Bologna;
M.Longinetti-A.Venturi , Temi e Soluzioni di prove scritte di Matematica, Edizioni CUSL Firenze;
M.Longinetti-D.Pagani: Corso di sostegno di matematica, dispense
M.Longinetti: Laboratorio di Matematica, dispense on line
Learning Objectives
Knolewdge acquired: elementary functions (linear, polynomials, exponential, logarithm) and examples of their use in the applied sciences;
concept of derivative and definite integral (geometric meaning, significance in the applied sciences) and of their main applications.
Competence acquired (at the end of the course):
ability to understand which problems can be solved via the use of derivatives and integrals.
Skills acquired (at the end of the course): manipulation of elementary functions, computation of derivatives and their use to study monotonicity and maxima of a function; drawing the graph of a function with or without the help of a suitable software, computation of a numerical approximation of a definite integral
concept of derivative and definite integral (geometric meaning, significance in the applied sciences) and of their main applications.
Competence acquired (at the end of the course):
ability to understand which problems can be solved via the use of derivatives and integrals.
Skills acquired (at the end of the course): manipulation of elementary functions, computation of derivatives and their use to study monotonicity and maxima of a function; drawing the graph of a function with or without the help of a suitable software, computation of a numerical approximation of a definite integral
Teaching Methods
Total hours of the course (including the time spent in attending lectures, seminars, private study, examinations, etc...): 300
Hours reserved to private study and other indivual formative activities: 192
Lectures (hours): 45
Laboratory (hours): 33
Laboratory-field/practice (hours): 30
Hours reserved to private study and other indivual formative activities: 192
Lectures (hours): 45
Laboratory (hours): 33
Laboratory-field/practice (hours): 30
Type of Assessment
xam modality:Written and oral exam
Course program
Basic instruments of differential and integral calculus for functions of one real variable. Basic functions. Limits and continuity. Derivative, its geometrical interpretation, its meaning in the applied sciences. Basic theorems and methods of differential calculus. Definite integral, its meaning in terms of area and in the applied sciences. Fundamental theorem of calculus.