Discipline ID
97ac1514-598d-4ae9-af20-fdf75b940953
COURSE DETAIL
LINEAR AND COMBINATORIAL OPTIMIZATION
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Engineering
UCEAP Course Number
141
UCEAP Course Suffix
UCEAP Official Title
LINEAR AND COMBINATORIAL OPTIMIZATION
UCEAP Transcript Title
LINEAR & COMB OPTIM
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
In science, technology, and economics, linear and combinatorial optimization problems appear more and more often. The most well-known example is linear programming, where the so-called simplex method has been of utmost importance in industry since it was invented in the middle of the twentieth century. Other important problems, such as effective data processing, contain discrete variables (i.e. integers). In connection with this, the importance of combinatorial methods has grown. This course makes students aware of problems in linear and combinatorial optimization which are important in the applications, and provides knowledge about mathematical methods for their solution. The course also helps students develop their ability to solve problems, with and without the use of a computer.
Language(s) of Instruction
English
Host Institution Course Number
FMAF35
Host Institution Course Title
LINEAR AND COMBINATORIAL OPTIMIZATION
Host Institution Course Details
Host Institution Campus
Engineering/Mathematics
Host Institution Faculty
Host Institution Degree
Host Institution Department
Engineering - Mathematics
Course Last Reviewed
2020-2021
COURSE DETAIL
MATHEMATICS OF MODERN CRYPTOGRAPHY
Country
Taiwan
Host Institution
National Taiwan University
Program(s)
National Taiwan University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Computer Science
UCEAP Course Number
126
UCEAP Course Suffix
UCEAP Official Title
MATHEMATICS OF MODERN CRYPTOGRAPHY
UCEAP Transcript Title
MATH CRYPTOGRAPHY
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
This course provides an introduction to modern cryptography with a mathematical focus. It covers the basics of abstract algebra and number theory, and introduces cryptocurrencies such as Bitcoin, BlockChain, and FinTech. Topics include data security, stream ciphers, Data Encryption Standard (DES) and alternatives, Advanced Encryption Standard (AES), block ciphers, public-key cryptography, RSA Cryptosystem, elliptic curve cryptosystems, digital signatures, hash functions, Message Authentication Codes (MACs), and key establishment.
Language(s) of Instruction
Host Institution Course Number
MATH5425
Host Institution Course Title
INTRODUCTION TO CRYPTOGRAPHY
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2022-2023
COURSE DETAIL
MATHEMATICAL ANALYSIS I
Country
Ireland
Host Institution
University College Cork
Program(s)
University College Cork
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
103
UCEAP Course Suffix
UCEAP Official Title
MATHEMATICAL ANALYSIS I
UCEAP Transcript Title
MATHMTICL ANLYS 1
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description
This course presents elementary classical analysis in a concrete setting, emphasizing specific techniques important to classical analysis and its applications. Topics include topology of Euclidean space; continuous and differentiable mappings; and Riemann integration.
Language(s) of Instruction
English
Host Institution Course Number
MA2051
Host Institution Course Title
MATHEMATICAL ANALYSIS I
Host Institution Course Details
Host Institution Campus
University College Cork
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2019-2020
COURSE DETAIL
FINANCIAL MATHEMATICS
Country
Spain
Host Institution
Carlos III University of Madrid
Program(s)
Carlos III University of Madrid
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
103
UCEAP Course Suffix
UCEAP Official Title
FINANCIAL MATHEMATICS
UCEAP Transcript Title
FINANCIAL MATHS
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
This course on financial mathematics covers the time value of the money, classic forms of capitalization and discount, typologies of annuities and their application in the valuation of financial products and investment projects, elements of a loan, and the application of financial concepts to new situations.
Language(s) of Instruction
Spanish
Host Institution Course Number
13743
Host Institution Course Title
MATEMÁTICAS FINANCIERAS
Host Institution Course Details
Host Institution Campus
Facultad de Ciencias Sociales y Jurídicas. (Getafe)
Host Institution Faculty
Host Institution Degree
Host Institution Department
Economía de la Empresa
Course Last Reviewed
COURSE DETAIL
MATHEMATICS MODELS AND DYNAMIC SYSTEMS
Country
Spain
Host Institution
University of Barcelona
Program(s)
University of Barcelona
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
160
UCEAP Course Suffix
UCEAP Official Title
MATHEMATICS MODELS AND DYNAMIC SYSTEMS
UCEAP Transcript Title
MATH MODELS
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
This course examines mathematical models from different scientific fields including biology, physics, and economics, and applies dynamic systems tools in the analysis of mathematical models. Topics covered include: discrete dynamic systems; fractals and complex dynamics; continuous dynamic systems.
Language(s) of Instruction
English
Host Institution Course Number
360153
Host Institution Course Title
MODELOS MATEMATICOS Y SISTEMAS DINÁMICOS
Host Institution Course Details
Host Institution Campus
Facultad de Matemáticas e Informática, Campus Plaça Universitat
Host Institution Faculty
Host Institution Degree
Host Institution Department
Matemáticas e Informática
Course Last Reviewed
COURSE DETAIL
OPTIMIZATION, DECISION MATHEMATICS AND VARIATIONAL PRINCIPLES
Country
United Kingdom - England
Host Institution
University of Cambridge, Pembroke College
Program(s)
Summer in Cambridge
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
104
UCEAP Course Suffix
S
UCEAP Official Title
OPTIMIZATION, DECISION MATHEMATICS AND VARIATIONAL PRINCIPLES
UCEAP Transcript Title
OPTIMIZATN/DEC MATH
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
This course introduces students to a variety of applicable mathematical methods for solving real-world problems. It is intended for students interested in how further mathematics can be used to solve hands-on problems. The economically-minded will be interested in optimizing based on constrained resources, and computer scientists will be interested in the various network algorithms explored. Physicists will find the material at the end of the course indispensable for solving classical problems. The game theory section of the course includes a discussion of the assumptions made about how rational agents act, which may interest psychologists and philosophy students.
Language(s) of Instruction
English
Host Institution Course Number
Host Institution Course Title
OPTIMISATION, DECISION MATHEMATICS AND VARIATIONAL PRINCIPLES
Host Institution Course Details
Host Institution Campus
Pembroke College
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2022-2023
COURSE DETAIL
DIFFERENTIAL AND INTEGRAL ANALYSIS
Country
United Kingdom - England
Host Institution
University of London, Queen Mary
Program(s)
University of London, Queen Mary
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
151
UCEAP Course Suffix
UCEAP Official Title
DIFFERENTIAL AND INTEGRAL ANALYSIS
UCEAP Transcript Title
DIFF&INTEGRAL ANLYS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course provides a basis for differential and integral calculus, examining the theory behind differentiation and integration rather than their applications. The course includes some full proofs, and covers differentiable functions, the algebra of derivatives, and key theorems. Students study integration involving the Riemann integral; the Fundamental Theorem of Calculus and applications, as well as sequences of functions; pointwise and uniform convergence; the Weierstrass M-test; and term-by-term integration of power series.
Language(s) of Instruction
English
Host Institution Course Number
MTH5105
Host Institution Course Title
DIFFERENTIAL AND INTEGRAL ANALYSIS
Host Institution Course Details
Host Institution Campus
QMUL
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematical Sciences
Course Last Reviewed
2019-2020
COURSE DETAIL
INTRODUCTION TO RISK AND RELIABILITY ANALYSIS
Country
Norway
Host Institution
University of Oslo
Program(s)
University of Oslo
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Statistics
Mathematics
UCEAP Course Number
109
UCEAP Course Suffix
UCEAP Official Title
INTRODUCTION TO RISK AND RELIABILITY ANALYSIS
UCEAP Transcript Title
RISK & RELIABILITY
UCEAP Quarter Units
8.00
UCEAP Semester Units
5.30
Course Description
This course provides the probability theoretical basis for calculating the reliability of a system. This means the likelihood that a system functions when the reliability of the individual components the system consists of is known. Examples of systems are energy systems and networks. The course also deals with various examples of risk analysis in industrial applications. The course subject is illustrated by various simulation techniques. The course discusses topics including what coherent systems are, and how to represent such systems by paths and cuts; how to compute the reliability for systems of components; what discrete event simulations is, and how to apply different simulation techniques to do computations related to risk and reliability analysis; how to compute the reliability importance of components; and how to perform a risk and reliability analysis in various practical situations. This course is an introduction to more advanced studies, but is also suitable as an aid subject in other professional circles and as further and postgraduate education for realists and engineers.
Language(s) of Instruction
English
Host Institution Course Number
STK3405
Host Institution Course Title
INTRODUCTION TO RISK AND RELIABILITY ANALYSIS
Host Institution Course Details
Host Institution Campus
Mathematics and Natural Sciences
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
COURSE DETAIL
OPTIMIZATION
Country
France
Host Institution
University of Bordeaux
Program(s)
University of Bordeaux
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
115
UCEAP Course Suffix
UCEAP Official Title
OPTIMIZATION
UCEAP Transcript Title
OPTIMIZATION
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
The objective of this course is to initiate the understanding of the methods and models of optimization. The first part of the course concerns convex optimizations, specifically conditions of optimality, the algorithm of the gradient, and its variants. The second part of the course concerns linear programming in the real and natural numbers. The emphasis is put on modeling. Topics include: modeling, the formalization of concrete problems in the form of mathematical optimization; optimization without constraints (analytic resolution, dichotomy, variants of the gradient); optimization with constraints (conditions of optimality, linear programming, linear programming with whole numbers).
Language(s) of Instruction
French
Host Institution Course Number
4TMQP01U
Host Institution Course Title
OPTIMISATION
Host Institution Course Details
Host Institution Campus
UNIVERSITÉ DE BORDEAUX: Collège des Sciences et Techniques
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathématiques
Course Last Reviewed
COURSE DETAIL
UNDERGRADUATE INDEPENDENT RESEARCH
Country
Hong Kong
Host Institution
Chinese University of Hong Kong
Program(s)
Research in Hong Kong
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Statistics
Sociology
Psychology
Political Science
Physics
Mathematics
Linguistics
Legal Studies
International Studies
History
Health Sciences
Geography
Environmental Studies
English
Engineering
Education
Economics
Earth & Space Sciences
Computer Science
Biological Sciences
UCEAP Course Number
186
UCEAP Course Suffix
S
UCEAP Official Title
UNDERGRADUATE INDEPENDENT RESEARCH
UCEAP Transcript Title
RESEARCH
UCEAP Quarter Units
9.00
UCEAP Semester Units
6.00
Course Description
The undergraduate research program places students in research opportunites to conduct indpendent research under the supervision of a Chinese University of Hong Kong faculty. Students are expected to spend approximately 15 to 20 hours per week in independent research as well as attend lectures and labs.
Language(s) of Instruction
English
Host Institution Course Number
IASP4091
Host Institution Course Title
INDEPENDENT RESEARCH
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Course Last Reviewed
2021-2022