With this function you can construct your weekly calendar of lessons, which is customized on the basis of the courses that you intend to follow.
Warning: the personal schedule does not replace the presentation of the study plan! It's an informal tool that can help you better manage the organization of class attendance before the study plan presentation.
After the study plan presentation we recommend you to use the Lecture timetable service in your Online Services.
To create your customized schedule follow these instructions:
- Click on the "Enable" link to proceed. You will be asked your surname and first name in order to determine your alphabetic grouping.
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To add or remove courses from your personal schedule, use the small icons which are found next to the courses:
 addition of the course removal of the course selection of the section of the Laboratory of Architecture
(Note: the effective area in which the teaching will be carried out will be determined after the presentation of the Study Plans)
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The sidebar on the left displays the number of lessons included in schedule.
There are also these commands:
 View the schedule: allows the viewing of the weekly synoptic schedule Delete the schedule: cancels the selections made
When you have finished the entry, you can print the calendar you have made.
| Semester (Sem) | | 1 | First Semester | | 2 | Second Semester | | A | Annual course | Educational activities | | A | Basic activities | Language |  | Course completely offered in italian |  | Course completely offered in english | | -- | Not available | Innovative teaching |  | The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching.
These CFUs include:
- Subject taught jointly with companies or organizations
- Blended Learning & Flipped Classroom
- Massive Open Online Courses (MOOC)
- Soft Skills
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Academic Year
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2019/2020
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School
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School of Architecture Urban Planning Construction Engineering
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Name
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(Bachelor of Science degree)(ord. 270) - MI (497) Building and Construction Engineering
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Track
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IE1 - Curriculum - IEC
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Programme Year
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1
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ID Code
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053110
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Course Title
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MATHEMATICAL ANALYSIS 1
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Course Type
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Mono-Disciplinary Course
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Credits (CFU / ECTS)
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9.0
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Semester
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First Semester
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Course Description
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"1. Sets. Natural, integer, rational numbers. Summation and product symbols. Factorial and binomial coefficients. Newton's formula. Real numbers. Bounded sets, maximum, minimum, upper and lower bounds. Absolute value, distance between real numbers, triangle inequality, neighbourhoods, limit points.
Complex numbers, complex plane. Algebraic, polar end exponential forms; operations.
Functions: domain, natural domain, codomain, image, graph. Extensions and restrictions. Injective and surjective functions; inverse functions. Extrema of a function. Functions that are: bounded, monotonic, even, odd, periodic. Elementary functions and their graphs. Transformations of sets in the plane and graphs of functions. Composition of functions. Sequences.
Limits of functions, basic properties and theorems, indeterminate forms. Particular case of limits of sequences. Special limits. The number e. Landau's symbols, their properties and use for calculations of limits. Continuous functions. Continuity of elementary functions. Discontinuities. Extensions by continuity. Fundamental theorems about continuous functions (Weierstrass, zeroes, intermediate values). Continuity of composed and inverse functions. Asymptotes.
Derivative of a function, geometrical meaning, tangent line. Differentiation and continuity. Left and right derivatives, singular points. Derivatives of elementary functions. Differentiation rules. Derivatives of higher order. Stationary points and Fermat's theorem. Some fundamental theorems (Rolle, Lagrange, de l'Hospital). Monotonicity theorems. Taylor's formula. Convexity. Investigation of the main features of a function and sketch of its graph. Antiderivative and indefinite integral; methods for finding integrals.
Definite integral and properties. Integrability of continuous functions. Mean value and mean value theorem. Functions defined by integrals. Fundamental theorems of calculus. Improper integrals: definitions and criteria for the study of convergence.
Regular curves. Differential calculus for curves. Rectifiable curves, length. The arc-length parameter. Line integrals and applications.
Series of numbers: convergent, divergent, oscillating. Some special series. Criteria for convergence and divergence. Hints at approximate determination of sums of convergent series."
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Scientific-Disciplinary Sector (SSD)
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Educational activities
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SSD Code
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SSD Description
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CFU
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A
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MAT/05
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MATHEMATICAL ANALYSIS
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9.0
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Innovative teaching
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The course includes 1.0 credits in Innovative Teaching as follows:
- Blended Learning & Flipped Classroom
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| Schedule, add and remove | Alphabetical group | Professor | Language | Course details |
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| From (included) | To (excluded) |
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| -- | A | ZZZZ | Di Cristo Michele | |  |
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Details 
Class schedule planning