Mathematical Analysis III
General data
Course ID:  360MS12AM3a 
Erasmus code / ISCED: 
(unknown)
/
(0541) Mathematics

Course title:  Mathematical Analysis III 
Name in Polish:  Mathematical Analysis III 
Organizational unit:  Faculty of Mathematics 
Course groups:  
ECTS credit allocation (and other scores): 
8.00

Language:  English 
Type of course:  obligatory courses 
Mode:  (in Polish) w sali 
Short description: 
Course objectives: Knowledge of material related to presented contents: a) understanding introduced notions and theorems b) knowledge of presented proofs c) giving appropriate examples d) solving computational problems Euclidean space is a simple and useful model of the space we live in. This course is a mathematical exploration of this space: we define distance, shapes including boxes and balls, and extend the notion of convergence from singlevariable analysis. The next step is to study functions on Euclidean space, aiming to understand continuous functions. We discuss how the main results from singlevariable analysis can be extended to the multivariable case. We move to derivatives of multivariable functions, aiming to replicate both the geometric meaning (slope of tangents) and the formalism from the singlevariable case, as well as developing a theory which is useful for applications. In the final part of the course we achieve similar goals with integration. 
Full description: 
Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: science and natural science, field of study in the arts and science: mathematics Year: 2, semester: 3 Prerequisities: Mathematical Analysis II, Linear Algebra II lecture 45 h. exercise class 60 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 8 Balance of student workload: attending lectures15x3h = 45h attending exercise classes 30x2h = 60h preparation for classes 15x3h = 45h completing notes after exercises and lectures 15x1h = 15h consultations 15x1h = 15h the final examination: preparation.and take 12h + 4h = 16h Quantitative description Direct interaction with the teacher: 120 h., 5 ECTS 
Learning outcomes: 
Learning outcomes: Can integrate function of several variables.K_U07, K_U10, K_U11, K_U13, K_U14, K_W02, K_W04, K_W05, K_W07 Knows Stokes theorem, can apply it and understands vector versions of this theorem.K_U12, K_U13, K_U14, K_U18, K_U24, K_W02, K_W04, K_W05, K_W07 Knows definitions and basic properties of operators such as gradient, rotation and divergence.K_U16, K_U17, K_W02, K_W04, K_W05 Knows and can apply differential calculus of functions of several variables: knows basic theorems in this topic.K_U12, K_W02, K_W04, K_W05, K_W07 Possesses basic knowledge on the spaces of continuous linear and multilinear maps.K_U16, K_U17, K_W02, K_W04, K_W05 
Assessment methods and assessment criteria: 
The overall form of credit for the course: final exam 
Classes in period "Academic year 2022/2023" (past)
Time span:  20221001  20230630 
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MO WYK
TU W WYK
TH CW
FR CW

Type of class: 
Class, 90 hours
Lecture, 60 hours


Coordinators:  Tomasz Czyżycki, Andrew McKee, Aneta Sliżewska  
Group instructors:  Andrew McKee  
Students list:  (inaccessible to you)  
Examination: 
Course 
Examination
Class  Grading 

Type of course:  obligatory courses 
Classes in period "Academic year 2024/2025" (future)
Time span:  20241001  20250630 
Navigate to timetable
MO TU W TH FR 
Type of class: 
Class, 60 hours
Lecture, 45 hours


Coordinators:  (unknown)  
Group instructors:  Tomasz Goliński, Karolina Wojciechowicz  
Students list:  (inaccessible to you)  
Examination: 
Course 
Examination
Class  Grading 
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