Discipline ID
97ac1514-598d-4ae9-af20-fdf75b940953
COURSE DETAIL
HISTORY OF MATHEMATICS
Country
Spain
Host Institution
Complutense University of Madrid
Program(s)
Complutense University of Madrid
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
159
UCEAP Course Suffix
UCEAP Official Title
HISTORY OF MATHEMATICS
UCEAP Transcript Title
HIST OF MATHEMATICS
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
This course provides a study of the history and development of mathematics, from its origins to the present. It is divided in two parts: mathematics through the 18th century (pre-Euclidean mathematics; Golden Age; second Alexandrian period; medieval mathematics; 16th century; the scientific revolution; development of calculation and mechanics in the 18th century), and mathematics of the last two centuries (from Gauss to the foundation of analysis; foundation of mathematics; Gödel theorems and computation; birth of modern algebra; geometrization of space in the 19th century; differential geometry and applications; algebraic geometry and applications; physical motivations of functional analysis).
Language(s) of Instruction
Spanish
Host Institution Course Number
800594
Host Institution Course Title
HISTORY OF MATHEMATICS
Host Institution Campus
Facultad de Ciencias Matemáticas, Campus de Ciudad Universitaria
Host Institution Faculty
Host Institution Degree
Host Institution Department
Grado en Ingeniería Matemática
COURSE DETAIL
ENGINEERING MATHEMATICS 1
Country
Taiwan
Host Institution
National Taiwan University
Program(s)
National Taiwan University
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics
Engineering
UCEAP Course Number
13
UCEAP Course Suffix
UCEAP Official Title
ENGINEERING MATHEMATICS 1
UCEAP Transcript Title
ENGINEERING MATH 1
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
This engineering mathematics course covers ordinary and series solutions of differential equations, vectors and vector space, matrix, determinants, linear systems, eigenvalues, diagonalization, system of linear differential equations, and Laplace transformation.
Language(s) of Instruction
Chinese
Host Institution Course Number
BME2103
Host Institution Course Title
ENGINEERING MATHEMATICS 1
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Biomechatronics Engineering
COURSE DETAIL
DISCRETE MATHEMATICS
Country
Ireland
Host Institution
University of Galway
Program(s)
University of Galway
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
106
UCEAP Course Suffix
UCEAP Official Title
DISCRETE MATHEMATICS
UCEAP Transcript Title
DISCRETE MATH
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description
This course explores enumerative combinatorics, such as permutations, combinations, derangements, and Graph theory, which is the basis for understanding and analyzing networks.
Language(s) of Instruction
English
Host Institution Course Number
MA284
Host Institution Course Title
DISCRETE MATHEMATICS
Host Institution Campus
National University of Ireland, Galway
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
COURSE DETAIL
MATHEMATICAL FINANCE I
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
130
UCEAP Course Suffix
A
UCEAP Official Title
MATHEMATICAL FINANCE I
UCEAP Transcript Title
MATH FINANCE
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course introduces the basics of financial mathematics. Topics include basic mathematical theory of interest, term structure of interest rates, fixed income securities, risk aversion, basic utility theory, single-period portfolio optimization, basic option theory. Mathematical rigor is emphasized.
Language(s) of Instruction
English
Host Institution Course Number
MA3269
Host Institution Course Title
MATHEMATICAL FINANCE I
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
COURSE DETAIL
NUMERICAL METHODS
Country
United Kingdom - England
Host Institution
University College London
Program(s)
University College London
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
138
UCEAP Course Suffix
UCEAP Official Title
NUMERICAL METHODS
UCEAP Transcript Title
NUMERICAL METHODS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course examines the ideas underpinning computational mathematics and introduces a series of methods to solve different problems. The overarching goal is to provide the fundamental tools for the solution of large scale differential equations. These tools include solution methods for nonlinear equations and systems, solution methods for large linear systems, and methods for ordinary differential equations.
Language(s) of Instruction
English
Host Institution Course Number
MATH0033
Host Institution Course Title
NUMERICAL METHODS
Host Institution Campus
University College London
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
COURSE DETAIL
TOPOLOGY
Country
Ireland
Host Institution
University of Galway
Program(s)
Irish Universities,National University of Ireland, Galway,University of Galway
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
114
UCEAP Course Suffix
UCEAP Official Title
TOPOLOGY
UCEAP Transcript Title
TOPOLOGY
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description
This course introduces the theory and application of topology. Topics include the basic algebra of set theory, including De Morgan's Laws; topological space; the relationship between topologies and continuous functions; homeomorphism; construction of new topological spaces using the subspace and quotient constructions; compactness and basic theorems relating to this concept; connectedness and basic theorems relating to this concept; and applying topological ideas to solve problems in other areas of mathematics or applied mathematics e.g. topological proof of the fundamental theorem of algebra or a proof of the Brouwer fixed point theorem.
Language(s) of Instruction
English
Host Institution Course Number
MA342
Host Institution Course Title
TOPOLOGY
Host Institution Campus
National University of Ireland, Galway
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
COURSE DETAIL
SPECIOSITY
Country
China
Host Institution
Fudan University
Program(s)
Fudan University
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
20
UCEAP Course Suffix
UCEAP Official Title
SPECIOSITY
UCEAP Transcript Title
SPECIOSITY
UCEAP Quarter Units
3.00
UCEAP Semester Units
2.00
Course Description
This course is designed to improve students' scientific literacy and recognition ability as well as enhance their ability to discriminate from a professional perspective by analyzing and critiquing many specious ideas. The course will be offered in collaboration with many experts in various disciplines, including mathematics, physics, chemistry, biology, management, computer science, medicine, literature, history, philosophy, political science, history, journalism, etc.
Language(s) of Instruction
Chinese
Host Institution Course Number
MATH110020
Host Institution Course Title
SPECIOSITY
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
COURSE DETAIL
LINEAR ALGEBRA II
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
112
UCEAP Course Suffix
UCEAP Official Title
LINEAR ALGEBRA II
UCEAP Transcript Title
LINEAR ALGEBRA II
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course is a mixture of abstract theory, with rigorous proofs, and concrete calculations with matrices. The abstract component builds on the theory of vector spaces and linear maps to construct the theory of bilinear forms (linear functions of two variables), dual spaces (which map the original space to the underlying field), and determinants. The concrete applications involve ways to reduce a matrix of some specific type (such as symmetric or skew-symmetric) to as near diagonal form as possible.
Language(s) of Instruction
English
Host Institution Course Number
MTH6140
Host Institution Course Title
LINEAR ALGEBRA II
Host Institution Campus
Queen Mary, University of London
Host Institution Faculty
Host Institution Degree
Host Institution Department
School of Mathematical Sciences
COURSE DETAIL
OBJECT-ORIENTED PROGRAMMING
Country
United Kingdom - England
Host Institution
King's College London
Program(s)
King's College London
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Engineering
Computer Science
UCEAP Course Number
125
UCEAP Course Suffix
UCEAP Official Title
OBJECT-ORIENTED PROGRAMMING
UCEAP Transcript Title
OBJECT-ORIENTD PRGM
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
The course provides a theoretical understanding and practical skills related to object-oriented programming. Practical skills will be learnt using the C++ programming language. The course enables students to tackle complex programming problems, making good use of the object-oriented programming paradigm to simplify the design and implementation process.
Language(s) of Instruction
English
Host Institution Course Number
5CCYB041
Host Institution Course Title
OBJECT-ORIENTED PROGRAMMING
Host Institution Campus
Strand Campus
Host Institution Faculty
Host Institution Degree
bachelors
Host Institution Department
Biomedical Engineering and Imaging Sciences
COURSE DETAIL
MULTIVARIATE CALCULUS
Country
United Kingdom - Scotland
Host Institution
University of St Andrews
Program(s)
Scottish Universities,Psychology and Neuroscience, St Andrews,University of St Andrews
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
103
UCEAP Course Suffix
UCEAP Official Title
MULTIVARIATE CALCULUS
UCEAP Transcript Title
MULTIVARIATE CALC
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course extends the basic calculus in a single variable to the setting of real functions of several variables. It introduces techniques and concepts that are used throughout the mathematical sciences and physics: partial derivatives, double and triple integrals, surface sketching, and cylindrical and spherical coordinates.
Language(s) of Instruction
English
Host Institution Course Number
MT2503
Host Institution Course Title
MULTIVARIATE CALCULUS
Host Institution Campus
St Andrews
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics & Statistics