Discipline ID
97ac1514-598d-4ae9-af20-fdf75b940953

COURSE DETAIL

MATHEMATICS WORKSHOP - THE ART OF DISCOVERY
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
107
UCEAP Course Suffix
S
UCEAP Official Title
MATHEMATICS WORKSHOP - THE ART OF DISCOVERY
UCEAP Transcript Title
MATHEMATICS WORKSHP
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description

This interactive course revolves around problem-solving and both playing and analyzing mathematical games. Throughout the course, students are given a sequence of carefully selected problems to solve individually. Students are given ample time to think about the questions - with hints from the instructors as needed - and they receive follow-up problems after each problem solved. Later in the course, the solutions and key learnings are presented by the instructors. Topics include mathematical games, graph theory, chapters from combinatorics, information theory, and invariants.

Language(s) of Instruction
English
Host Institution Course Number
Host Institution Course Title
MATHEMATICS WORKSHOP - THE ART OF DISCOVERY
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Science and Mathematics
Host Institution Degree
Host Institution Department
Course Last Reviewed
2023-2024
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COURSE DETAIL

COMBINATORICS AND GRAPH THEORY
Country
United Kingdom - Scotland
Host Institution
University of Edinburgh
Program(s)
Intern: Scotland,University of Edinburgh,Scottish Universities
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
120
UCEAP Course Suffix
UCEAP Official Title
COMBINATORICS AND GRAPH THEORY
UCEAP Transcript Title
COMBINAT&GRAPH THRY
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description

This is a first course in combinatorics and graph theory and covers graphs, Euler's V-E+F=2 Theorem, Kuratowski's Theorem, counting sets, generating functions, matching, Hall's Marriage Theorem, Polya counting, and counting paths in graphs.

 

Language(s) of Instruction
English
Host Institution Course Number
MATH10072
Host Institution Course Title
COMBINATORICS AND GRAPH THEORY
Host Institution Course Details
Host Institution Campus
University of Edinburgh
Host Institution Faculty
School of Mathematics
Host Institution Degree
Host Institution Department
Course Last Reviewed
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COURSE DETAIL

FINANCIAL MATHEMATICS I
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
107
UCEAP Course Suffix
UCEAP Official Title
FINANCIAL MATHEMATICS I
UCEAP Transcript Title
FINANCIAL MATH 1
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course covers some of the most important financial instruments, including bonds, shares, and derivatives (such as forward contracts and options). The course explains how it is possible to derive formulas for the fair prices of many types of derivatives, working within the framework of a discrete-time trading model.
Language(s) of Instruction
English
Host Institution Course Number
MTH6154
Host Institution Course Title
FINANCIAL MATHEMATICS I
Host Institution Course Details
Host Institution Campus
Queen Mary University of London
Host Institution Faculty
Host Institution Degree
Host Institution Department
school of math
Course Last Reviewed
2019-2020
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NUMERICAL ANALYSIS II
Country
Singapore
Host Institution
National University of Singapore
Program(s)
National University of Singapore
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
109
UCEAP Course Suffix
B
UCEAP Official Title
NUMERICAL ANALYSIS II
UCEAP Transcript Title
NUMERIC ANALYSIS II
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course is a continuation of MA2213 Numerical Analysis I. It introduces and analyzes important numerical methods for solving linear and nonlinear systems, two-point boundary value problems, as well as Monte Carlo methods and their applications in such fields as quantitative finance and physics. The course develops problem-solving skills in emerging applications of modern scientific computing, and is intended for mathematics and quantitative finance majors and students from engineering, computer science and physical sciences. Major topics: Iterative methods for systems of linear equations and their convergence analysis, numerical solutions of systems of nonlinear equations, methods for solving two-point boundary value problems, Monte Carlo methods and their applications.
Language(s) of Instruction
English
Host Institution Course Number
MA3227
Host Institution Course Title
NUMERICAL ANALYSIS II
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
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SUPERVISION IN MATHEMATICS
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
186
UCEAP Course Suffix
S
UCEAP Official Title
SUPERVISION IN MATHEMATICS
UCEAP Transcript Title
SUPERVISION: MATH
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
A research project that assigns students to expert professors in their proposed research topic. The course takes which takes the students' research capabilities to a more professional level. This can be most closely compared to what is called a supervised research project in the USA.
Language(s) of Instruction
English
Host Institution Course Number
Host Institution Course Title
SUPERVISION IN MATHEMATICS
Host Institution Course Details
Host Institution Campus
University of Cambridge
Host Institution Faculty
Host Institution Degree
Host Institution Department
Course Last Reviewed
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PROBABILITY FOR STATISTICS
Country
Host Institution
Program(s)
University of Melbourne
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
124
UCEAP Course Suffix
UCEAP Official Title
PROBABILITY FOR STATISTICS
UCEAP Transcript Title
PROBABLTY FOR STATS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course develops the probability theory that is necessary to understand statistical inference. Topics: Properties of probability; random variables are and their properties are developed and illustrated through common univariate probability models; models for the joint behavior of random variables along with conditional probability and Markov chains; methods for obtaining the distributions of functions of random variables along with techniques to obtain the exact and approximate distributions of sums of random variables. These methods are illustrated through some well known normal approximations to discrete distributions and by obtaining the exact and approximate distributions of some commonly used statistics. Computer packages are used for numerical and theoretical calculations but programming skills are not required.
Language(s) of Instruction
English
Host Institution Course Number
MAST20006
Host Institution Course Title
PROBABILITY FOR STATISTICS
Host Institution Course Details
Host Institution Campus
Parkville
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics and Statistics
Course Last Reviewed
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NONLINEAR DYNAMICS AND CHAOS
Country
Canada
Host Institution
McGill University
Program(s)
McGill University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
124
UCEAP Course Suffix
UCEAP Official Title
NONLINEAR DYNAMICS AND CHAOS
UCEAP Transcript Title
NONLINEAR DYN&CHAOS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This introductory course on dynamical systems is mainly concerned with linear systems, and one and two-dimensional nonlinear systems of differential equations (low-dimensional nonlinear systems of differential equations, and iterations of low-dimensional maps). Students investigate how to determine the qualitative behavior of the solutions of these differential equations, without having to determine the actual solutions explicitly. This is an applied mathematics course; the main focus is on understanding and explaining the behavior of solutions to differential equations, as opposed to a pure mathematics course where the focus might be more on stating and proving theorems. Topics include linear systems of differential equations (linear stability theory) and nonlinear systems (existence and uniqueness, numerical methods, one and two-dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations, and chaos).
Language(s) of Instruction
English
Host Institution Course Number
MATH 326
Host Institution Course Title
NONLINEAR DYNAMICS AND CHAOS
Host Institution Course Details
Host Institution Campus
Science
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics and Statistics
Course Last Reviewed
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REAL ANALYSIS
Country
United Kingdom - England
Host Institution
London School of Economics
Program(s)
Summer at London School of Economics
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
132
UCEAP Course Suffix
S
UCEAP Official Title
REAL ANALYSIS
UCEAP Transcript Title
REAL ANALYSIS
UCEAP Quarter Units
5.50
UCEAP Semester Units
3.70
Course Description

In this course, students develop concepts such as convergence, continuity, completeness, compactness, and convexity in the settings of real numbers, Euclidean spaces, and more general metric spaces.

Language(s) of Instruction
English
Host Institution Course Number
ME306
Host Institution Course Title
REAL ANALYSIS
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2025-2026
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MATHEMATICS FOR ECONOMICS I
Country
Korea, South
Host Institution
Yonsei University
Program(s)
Yonsei University
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics Economics
UCEAP Course Number
85
UCEAP Course Suffix
A
UCEAP Official Title
MATHEMATICS FOR ECONOMICS I
UCEAP Transcript Title
MATH FOR ECONOMICS
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
This class provides mathematical foundations for other undergraduate courses in economics. This course reviews important mathematical concepts and methods (mostly calculus, linear algebra and optimization), and demonstrates their applications for solving economic problems (rather than lemmas, theorems and proofs). Textbooks: C. Simon and L. Blume, MATHEMATICS FOR ECONOMISTS; Alpha C. Chiang and Kevin Wainwright, FUNDAMENTAL METHODS OF MATHEMATICAL ECONOMICS.
Language(s) of Instruction
English
Host Institution Course Number
ECO1101
Host Institution Course Title
MATHEMATICS FOR ECONOMICS I
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Economics
Course Last Reviewed
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COURSE DETAIL

INTERDISCIPLINARY GAME THEORY
Country
United Kingdom - England
Host Institution
University College London
Program(s)
University College London
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics Economics
UCEAP Course Number
120
UCEAP Course Suffix
N
UCEAP Official Title
INTERDISCIPLINARY GAME THEORY
UCEAP Transcript Title
GAME THEORY
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course is a bridge between the world of mathematics and science and the world of the humanities and the social and historical sciences. Students are exposed to game theory as a descriptive tool that is not bound by the topics of any single discipline. The most influential discoveries made in philosophy, politics, economics, finance, war studies, biology, psychology, law, and history are discussed.
Language(s) of Instruction
English
Host Institution Course Number
BASC0017
Host Institution Course Title
INTERDISCIPLINARY GAME THEORY
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Arts and Sciences
Course Last Reviewed
2023-2024
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