Discipline ID
97ac1514-598d-4ae9-af20-fdf75b940953
COURSE DETAIL
CALCULUS AND LINEAR ALGEBRA
Country
Hong Kong
Host Institution
Hong Kong University of Science and Technology (HKUST)
Program(s)
Hong Kong University of Science and Technology
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
13
UCEAP Course Suffix
UCEAP Official Title
CALCULUS AND LINEAR ALGEBRA
UCEAP Transcript Title
CALC&LINEAR ALGEBRA
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
This course teaches basic application techniques in single-variable calculus and linear algebra. Key topics include: systems of linear equations and matrices, functions and graphing, derivatives and optimization, integration and applications.
Language(s) of Instruction
English
Host Institution Course Number
MATH1003
Host Institution Course Title
CALCULUS AND LINEAR ALGEBRA
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
COURSE DETAIL
MATHEMATICS FOR LIBERAL ARTS AND SCIENCE
Country
Netherlands
Host Institution
Utrecht University – University College Utrecht
Program(s)
University College Utrecht
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
11
UCEAP Course Suffix
UCEAP Official Title
MATHEMATICS FOR LIBERAL ARTS AND SCIENCE
UCEAP Transcript Title
MATH LIB ART & SCI
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
Students learn elementary yet important mathematical concepts and techniques that have a wide range of applications in natural and social sciences. The focus is on calculus skills required for further study in life sciences, earth sciences, and economics, amongst others. Topics include basic and discrete mathematics, matrices, graphs and derivatives, functions of multiple variables, and optimization and basic integration, with applications to probability distributions.
Language(s) of Instruction
English
Host Institution Course Number
UCACCMAT01
Host Institution Course Title
MATHEMATICS FOR LIBERAL ARTS AND SCIENCE
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Academic Core
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2021-2022
COURSE DETAIL
ALGORITHMS, GAMES, AND THE INTERNET
Country
Germany
Host Institution
Technical University Berlin
Program(s)
Technical University Berlin
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Computer Science
UCEAP Course Number
127
UCEAP Course Suffix
UCEAP Official Title
ALGORITHMS, GAMES, AND THE INTERNET
UCEAP Transcript Title
ALGORITHMS & GAMES
UCEAP Quarter Units
8.50
UCEAP Semester Units
5.70
Course Description
This course addresses theoretical problems at the interface of game theory and computer science, often inspired by internet applications such as sponsored search, crowdsourcing, and social computing platforms. Game theory studies strategic interactions of multiple agents in situations where the well-being of a single agent depends not only on the agent's own actions, but also on the actions of other agents. The course begins by discussing fundamental concepts from game theory and investigating algorithmic aspects of solution concepts. Then students analyze internet-inspired algorithmic problems from a game-theoretic perspective.
Language(s) of Instruction
English
Host Institution Course Number
04347 L 260
Host Institution Course Title
ALGORITHMS, GAMES, AND THE INTERNET
Host Institution Course Details
Host Institution Campus
FAKULTÄT IV ELEKTROTECHNIK UND INFORMATIK
Host Institution Faculty
Host Institution Degree
Host Institution Department
Softwaretechnik und Theoretische Informatik
Course Last Reviewed
COURSE DETAIL
ALGORITHMIC GAME THEORY AND ITS APPLICATIONS
Country
United Kingdom - Scotland
Host Institution
University of Edinburgh
Program(s)
University of Edinburgh
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Computer Science
UCEAP Course Number
176
UCEAP Course Suffix
UCEAP Official Title
ALGORITHMIC GAME THEORY AND ITS APPLICATIONS
UCEAP Transcript Title
ALGRTHMIC GAME THRY
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description
This course brings together as a coherent body of knowledge the game theoretic algorithms and models that underpin several flourishing subjects at the intersection of computer science, economics, e-commerce, and AI.
Language(s) of Instruction
English
Host Institution Course Number
INFR11218
Host Institution Course Title
ALGORITHMIC GAME THEORY AND ITS APPLICATIONS (UG)
Host Institution Course Details
Host Institution Campus
University of Edinburgh
Host Institution Faculty
Host Institution Degree
Host Institution Department
School of Informatics
Course Last Reviewed
2023-2024
COURSE DETAIL
NUMBER THEORY
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
140
UCEAP Course Suffix
UCEAP Official Title
NUMBER THEORY
UCEAP Transcript Title
NUMBER THEORY
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
The course treats multiplicative number theoretic functions, Möbius inversion formula, properties of Euler's totient function, primitive roots and indices, quadratic residues, the Legendre symbol and it's properties, the quadratic reciprocity theorem, representations of integers as sums of squares, number theoretic properties of the Fibonacci sequence, continued fractions, Diophantine approximation.
Language(s) of Instruction
English
Host Institution Course Number
MATM35
Host Institution Course Title
NUMBER THEORY
Host Institution Course Details
Host Institution Campus
Lund
Host Institution Faculty
Science
Host Institution Degree
Host Institution Department
Course Last Reviewed
2024-2025
COURSE DETAIL
UNDERGRADUATE RESEARCH
Country
Singapore
Host Institution
Singapore University of Technology and Design
Program(s)
STEM Research in Singapore
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Statistics
Psychology
Mechanical Engineering
Mathematics
Materials Science
Health Sciences
Environmental Studies
Engineering
Electrical Engineering
Earth & Space Sciences
Computer Science
Civil Engineering
Chemical Engineering
Biological Sciences
Bioengineering
Agricultural Sciences
UCEAP Course Number
186
UCEAP Course Suffix
S
UCEAP Official Title
UNDERGRADUATE RESEARCH
UCEAP Transcript Title
RESEARCH
UCEAP Quarter Units
10.00
UCEAP Semester Units
6.70
Course Description
This course provides research training for exchange students. Students work on a research project under the guidance of assigned faculty members. Through a full-time commitment, students improve their research skills by participating in the different phases of research, including development of research plans, proposals, data analysis, and presentation of research results. A pass/no pass grade is assigned based a progress report, self-evaluation, midterm report, presentation, and final report.
Language(s) of Instruction
English
Host Institution Course Number
Host Institution Course Title
iUROP META RESEARCH
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Inbound International Undergraduate Research Opportunities Programme
Course Last Reviewed
2022-2023
COURSE DETAIL
NUMERICAL ANALYSIS: NUMERICAL APPROXIMATION
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
160
UCEAP Course Suffix
UCEAP Official Title
NUMERICAL ANALYSIS: NUMERICAL APPROXIMATION
UCEAP Transcript Title
NUMERICAL APPROXMTN
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
The fundamental problem of approximation theory is to represent a possibly complicated function by simpler, easier to compute functions. In approximation theory it is usually assumed that the values of the function are known. This information is then used to construct an approximant. In numerical computation, information usually comes in a less explicit form. For example, the function may be the solution to a differential equation. Nevertheless, the two subjects of approximation and computation are closely related, and it is impossible to understand fully the possibilities in numerical computation without a good understanding of the elements of constructive approximation. This course gives an overview of basic classical approximation theory, i.e., best and good approximation from a finite family of functions in specific normed linear spaces (such as L1, L2, and C). Minimax approximation and the construction of good approximations (the exchange algorithm) are studied. Also covered are orthogonal polynomials and least squares approximation. The results and techniques from approximation theory and numerical analysis are applied in both the continuous and the discrete cases. The theory is illustrated mainly by considering numerical approximation techniques by polynomials and splines.
Language(s) of Instruction
English
Host Institution Course Number
NUMN19
Host Institution Course Title
NUMERICAL ANALYSIS: NUMERICAL APPROXIMATION
Host Institution Course Details
Host Institution Campus
Science
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
COURSE DETAIL
HONORS COMPLEX VARIABLES
Country
United Kingdom - Scotland
Host Institution
University of Edinburgh
Program(s)
University of Edinburgh
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
102
UCEAP Course Suffix
UCEAP Official Title
HONORS COMPLEX VARIABLES
UCEAP Transcript Title
COMPLEX VARIABLES
UCEAP Quarter Units
8.00
UCEAP Semester Units
5.30
Course Description
This is a first course in complex analysis. Topics include analytic functions, Mobius transformations and the Riemann sphere, complex integration, series expansions, and the residue calculus and its applications. In the skills section of this course students work on mathematical reading and writing, although the skills involved are widely applicable to reading and writing technical and non-technical reports. Students then use these skills to write a report after completing a group project re-searching a topic connected with complex numbers or complex analysis.
Language(s) of Instruction
English
Host Institution Course Number
MATH10067
Host Institution Course Title
HONOURS COMPLEX VARIABLES
Host Institution Course Details
Host Institution Campus
Edinburgh
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2018-2019
COURSE DETAIL
NUMERICAL ANALYSIS: NUMERICAL LINEAR ALGEBRA
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
142
UCEAP Course Suffix
UCEAP Official Title
NUMERICAL ANALYSIS: NUMERICAL LINEAR ALGEBRA
UCEAP Transcript Title
NUM LINEAR ALGEBRA
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course provides an introduction to numerical linear algebra, including methods and principles for solving fundamental problems in linear algebra. The course covers matrix and vector norms, orthogonalization, projection, matrix factorizations, direct and iterative solvers, condition numbers, stability of a method, and complexity of an algorithm. Students learn to solve problems and are trained in implementing numerical methods in code. This course prepares students for further studies in numerical analysis, statistics, computer science, and image analysis.
Language(s) of Instruction
English
Host Institution Course Number
NUMB11
Host Institution Course Title
NUMERICAL ANALYSIS: NUMERICAL LINEAR ALGEBRA
Host Institution Course Details
Host Institution Campus
Lund
Host Institution Faculty
Science/Engineering
Host Institution Degree
Host Institution Department
Mathematics/Engineering
Course Last Reviewed
2021-2022
COURSE DETAIL
LINEAR ALGEBRA I
Country
Ireland
Host Institution
Trinity College Dublin
Program(s)
Trinity College Dublin
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
111
UCEAP Course Suffix
UCEAP Official Title
LINEAR ALGEBRA I
UCEAP Transcript Title
LINEAR ALGEBRA 1
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description
This course teaches the application of linear algebra. Topics inlcude lines, planes, vectors, dot and cross product; linear systems, Gauss-Jordan elimination, and reduced row echelon form; matrix multiplication, elementary row operations, and inverse matrix; permutations, odd and even, determinants, and transpose matrix; minors, cofactors, adjoint matrix, inverse matrix, and Cramer's rule; vector spaces, linear independence and span, and bases and dimension; linear operators, matrix of a linear operator with respect to a basis; and change of basis, transition matrix, and conjugate matrices.
Language(s) of Instruction
English
Host Institution Course Number
MAU11101
Host Institution Course Title
LINEAR ALGEBRA I
Host Institution Course Details
Host Institution Campus
Trinity College Dublin
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2019-2020