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B006517 - MATHEMATICAL ANALYSIS II
Main information
Teaching Language
Course Content
Learning Objectives
Prerequisites
Teaching Methods
Further information
Type of Assessment
Academic Year 2021-22
Coorte 2020 - 3-years First Cycle Degree (DM 270/04) in CIVIL, BUILDING AND ENVIRONMENTAL ENGINEERING
Course year
Second year - First Semester
Belonging Department
Civil and Environmental Engineering (DICEA)
Course Type
Single education field course
Scientific Area
MAT/05 - MATHEMATICAL ANALYSIS
Credits
9
Teaching Hours
81
Teaching Term
13/09/2021 ⇒ 17/12/2021
Attendance required
No
Type of Evaluation
Final Grade
Course Content
show
Lectureship
Teaching Language
Italian
Course Content
The n-dimensional Euclidean space. Curves in parametric form, line integrals.
Differential calculus for (real valued) functions of several variables.
*[Unconstrained and constrained optimization problems.]
Differential calculus for vector valued functions of several variables; parametric surfaces.
Multiple integrals.
Vector fields, corresponding line integrals. Surface and flow integrals.
Function spaces. Sequences of functions, function and power series. Fourier series.
Differential calculus for (real valued) functions of several variables.
*[Unconstrained and constrained optimization problems.]
Differential calculus for vector valued functions of several variables; parametric surfaces.
Multiple integrals.
Vector fields, corresponding line integrals. Surface and flow integrals.
Function spaces. Sequences of functions, function and power series. Fourier series.
Learning Objectives
Knowledge acquired: fundamental elements of differential and integral calculus in several variables; curves and surfaces. Sequences and series of functions, Fourier series.
Skills: understanding of problems relating to the listed topics (see Knowledge), autonomy in proposing and rigorously supporting arguments for their resolution. Confident usage of symbols and results; good control of errors.
Abilities: setting up an analytical framework for simple physical/mechanical problems; strenghtened communication skills in written and oral presentations; autonomy within the individual study and active participation in a group.
Skills: understanding of problems relating to the listed topics (see Knowledge), autonomy in proposing and rigorously supporting arguments for their resolution. Confident usage of symbols and results; good control of errors.
Abilities: setting up an analytical framework for simple physical/mechanical problems; strenghtened communication skills in written and oral presentations; autonomy within the individual study and active participation in a group.
Prerequisites
Differential and integral calculus for functions of one variable
Sequences and numerical series. Ordinary Differential Equations.
Linear algebra and analytic geometry.
Prerequisite (formal): course "Analisi Matematica I"
Recommended: course "Geometria"
Sequences and numerical series. Ordinary Differential Equations.
Linear algebra and analytic geometry.
Prerequisite (formal): course "Analisi Matematica I"
Recommended: course "Geometria"
Teaching Methods
Lessons (in the classroom), in the absence of rigid separation between theory and practice.
The discussion of assigned exercises/ problems and possibly of some proofs is part of the course.
The discussion of assigned exercises/ problems and possibly of some proofs is part of the course.
Further information
Course duration: 13 nominal weeks, from Sept. 20 to Dec. 17, 2021, excluding Dec. 8 (National holiday); 81 hours
Schedule (at the Centro Didattico Morgagni):
Tue. 14:10-16:10
Wed. 8:50-10:50
Thu. 14:10-16:10
Schedule (at the Centro Didattico Morgagni):
Tue. 14:10-16:10
Wed. 8:50-10:50
Thu. 14:10-16:10
Type of Assessment
The final examination includes a written exam on the contents of the course: students are asked to answer basic questions as well as to solve problems.
The exam involves a subsequent interview in which students should expect (i) to discuss - albeit briefly - the paper, (ii) answer questions on definitions and results dealt with in the course (along with the respective proofs). It is also possible (iii) to give a presentation on a subject either not discussed in depth during the lectures or not in the syllabus at all (see a list of suggested topics in Moodle).
Two exams (valid in lieu of the written examination) will be held during the semester.
Please note that the sessions are distinct from each other: the conclusion of an exam cannot be postponed to a subsequent session, unless otherwise indicated.
The exam involves a subsequent interview in which students should expect (i) to discuss - albeit briefly - the paper, (ii) answer questions on definitions and results dealt with in the course (along with the respective proofs). It is also possible (iii) to give a presentation on a subject either not discussed in depth during the lectures or not in the syllabus at all (see a list of suggested topics in Moodle).
Two exams (valid in lieu of the written examination) will be held during the semester.
Please note that the sessions are distinct from each other: the conclusion of an exam cannot be postponed to a subsequent session, unless otherwise indicated.