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Glossary
Semester (Sem)
1First Semester
2Second Semester
AAnnual course
Educational activities
ABasic 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
Course Details
Context
Academic Year 2018/2019
School School of Civil
Environmental and Land Management Engineering
Name (Bachelor of Science degree)(ord. 270) - LC (306) Civil Engineering for Risk Mitigation
Track CMR - Non diversificato
Programme Year 1

Course Details
ID Code 053384
Course Title MATHEMATICAL ANALYSIS AND GEOMETRY
Course Type Integrated Course
Credits (CFU / ECTS) 16.0
Semester Annual course
Course Description Real numbers, order and completeness. Complex numbers, the nth root. Real functions of a real variable. Limits for functions and successions. Continuity, properties of continuous functions on intervals. Derivatives and rules of derivation, properties of differential functions on an interval, search for maxima and minima, concavity and inflection points. Graph of a function. Taylor's formula. Antiderivative of a function. Definite integral for functions of a variable. Fundamental theorem of integral calculus. Integration rules, integration by substitution and by parts. Mention of generalized integrals. Vectors in plane and space. Scalar and inner products, orthogonality and parallelism. Analytic geometry in space. Straight lines and planes. Vector spaces: base vectors, dimension of vector spaces. Matrices, determinant and rank. Linear applications. Solution of linear systems. Eigenvalues and eigenvectors, matrix diagonalization. Numerical series, character, simple and absolute convergence. Series with positive terms: convergence tests. Series with alternating signs. Series of functions, uniform convergence. Power series and Taylor series. Functions of several variables. Parametric curves. Functions with vector values. Parametric surfaces. Vector fields. Topology of a set of points. Limits, continuity, partial derivatives and differentiability. Taylor's theorem. Free and constraint optimization problem. Hessian matrix. Linear differential forms and vector fields. Gradient, divergence and curl operators. Work on a vector field. Conservative fields. Double and triple integrals of continuous functions. Gauss divergence theorem and its physical meaning.
Scientific-Disciplinary Sector (SSD)
Educational activities SSD Code SSD Description CFU
A
MAT/03
GEOMETRY
6.0
A
MAT/05
MATHEMATICAL ANALYSIS
10.0

Schedule, add and removeAlphabetical groupCodeModule DescriptionProfessorCFUSem.LanguageCourse details
From (included)To (excluded)
--AZZZZ053381MATHEMATICAL ANALYSIS 1.STLaeng Enrico6.01
053383MATHEMATICAL ANALYSIS 2 (MOD. A]Laeng Enrico4.02
053382GEOMETRYLaeng Enrico6.01
manifesti v. 3.3.4 / 3.3.4
Area Servizi ICT
10/04/2020