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

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DISCRETE MATHEMATICS ENGINEERING
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics Engineering
UCEAP Course Number
102
UCEAP Course Suffix
UCEAP Official Title
DISCRETE MATHEMATICS ENGINEERING
UCEAP Transcript Title
DISCRETE MATH ENG
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

The aim of the course is to treat some basic parts of discrete mathematics, of importance in computer science, information theory, signal processing, physics and many other subjects in technology and science. The aim is also to develop the students' ability to solve problems and to assimilate mathematical text. The course should also provide general mathematical education.

Language(s) of Instruction
English
Host Institution Course Number
FMAB75
Host Institution Course Title
DISCRETE MATHEMATICS
Host Institution Campus
Host Institution Faculty
Engineering
Host Institution Degree
Host Institution Department
Course Last Reviewed
2022-2023

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INTRODUCTION TO MATH FOR ECONOMICS
Country
Spain
Host Institution
Carlos III University of Madrid
Program(s)
Carlos III University of Madrid
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics Economics
UCEAP Course Number
55
UCEAP Course Suffix
UCEAP Official Title
INTRODUCTION TO MATH FOR ECONOMICS
UCEAP Transcript Title
INTRO MATH FOR ECON
UCEAP Quarter Units
2.50
UCEAP Semester Units
1.70
Course Description
This course provides a study of the theory of functions of one variable and focuses on the properties of monotonicity, continuity, derivability, and concavity/convexity of functions.
Language(s) of Instruction
Host Institution Course Number
13443
Host Institution Course Title
INTRODUCCIÓN A LAS MATEMÁTICAS PARA LA ECONOMÍA
Host Institution Campus
Getafe
Host Institution Faculty
Facultad de Ciencias Sociales y Jurídicas
Host Institution Degree
Doble Grado en Estudios Internacionales y Economía
Host Institution Department
Economía
Course Last Reviewed
2024-2025

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ALGEBRA I
Country
Canada
Host Institution
McGill University
Program(s)
McGill University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
102
UCEAP Course Suffix
UCEAP Official Title
ALGEBRA I
UCEAP Transcript Title
ALGEBRA I
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course offers a study of sets, functions, mappings, and relations; groups, subgroups, cyclic groups, and cosets; homomorphism and isomorphism; group actions on sets; methods of proof; complex numbers; divisibility theory for integers and modular arithmetic; divisibility theory for polynomials; rings, ideals, and quotient rings; and fields and construction of fields from polynomial rings.
Language(s) of Instruction
English
Host Institution Course Number
MATH 235
Host Institution Course Title
ALGEBRA I
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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PROBABILITY
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
159
UCEAP Course Suffix
UCEAP Official Title
PROBABILITY
UCEAP Transcript Title
PROBABILITY
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description
This course provides an introduction to probability theory aimed at third-year mathematics majors. Topics include: probability space; random variables: distribution, distribution functions, discrete random variables, moments of discrete random variables; random vectors; sequences of random variables; law of large numbers and the central limit theorem. Recommended prerequisites: introductory differential calculus, introductory integral calculus, multivariable differential calculus, multivariable integral calculus.
Language(s) of Instruction
Catalan
Host Institution Course Number
360162
Host Institution Course Title
PROBABILIDADES
Host Institution Course Details
Host Institution Campus
Facultad de Matematicas e Informática, Campus Plaza Universidad
Host Institution Faculty
Host Institution Degree
Host Institution Department
Matematicas e Informática
Course Last Reviewed

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STATISTICAL MODELLING
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)
Statistics Mathematics
UCEAP Course Number
111
UCEAP Course Suffix
UCEAP Official Title
STATISTICAL MODELLING
UCEAP Transcript Title
STATISTCL MODELLING
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

This course covers linear models, regression analysis, analysis of variance, with applications in various fields. Students use a specialized statistical software package to analyze linear models. 

Language(s) of Instruction
English
Host Institution Course Number
5CCM242A
Host Institution Course Title
STATISTICAL MODELLING
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2021-2022

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ENGINEERING MATHEMATICS 3
Country
Taiwan
Host Institution
National Taiwan University
Program(s)
National Taiwan University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics Engineering
UCEAP Course Number
104
UCEAP Course Suffix
UCEAP Official Title
ENGINEERING MATHEMATICS 3
UCEAP Transcript Title
ENGINEERING MATH 3
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description

This engineering mathematics course covers matrices and gaussian elimination, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors, and positive definite matrices.

 

 

Language(s) of Instruction
English
Host Institution Course Number
ESOE3042
Host Institution Course Title
ENGINEERING MATHEMATICS (III)
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
ENGINEERING SCIENCE OCEAN
Course Last Reviewed
2022-2023

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ANALYSIS IN HIGHER DIMENSIONS
Country
New Zealand
Host Institution
University of Auckland
Program(s)
University of Auckland
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
113
UCEAP Course Suffix
UCEAP Official Title
ANALYSIS IN HIGHER DIMENSIONS
UCEAP Transcript Title
HIGHER DIMENSIONS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
By selecting the important properties of distance many different mathematical contexts are studied simultaneously in the framework of metric and normed spaces. Examines carefully the ways in which the derivative generalizes to higher dimensional situations. These concepts lead to precise studies of continuity, fixed points and the solution of differential equations. A recommended course for all students planning to advance in mathematics.
Language(s) of Instruction
English
Host Institution Course Number
MATHS 333
Host Institution Course Title
ANALYSIS IN HIGHER DIMENSIONS
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed

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DIFFERENTIAL EQUATIONS AND APPLIED METHODS
Country
United Kingdom - England
Host Institution
University of East Anglia
Program(s)
English Universities,University of East Anglia,Environment and Sustainability, East Anglia
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
139
UCEAP Course Suffix
UCEAP Official Title
DIFFERENTIAL EQUATIONS AND APPLIED METHODS
UCEAP Transcript Title
DIFF EQUATN&METHODS
UCEAP Quarter Units
8.00
UCEAP Semester Units
5.30
Course Description
This course explores ordinary differential equations with topics ranging from solution by reduction of order, variation of parameters for inhomogeneous problems, and series solution to the method of Frobenius. Additionally, students look at Legendre's and Bessel's equations including Legendre polynomials, Bessel functions and their recurrence relations, the Fourier series, Partial differential equations (PDEs), heat equation, wave equation, Laplace's equation, and solution by separation of variables. Other topics include the method of characteristics for hyperbolic equations, the characteristic equations, Fourier transform and its use in solving linear PDEs, dynamical systems, equilibrium points and their stability, the phase plane, theory, and applications.
Language(s) of Instruction
English
Host Institution Course Number
MTHA5004Y
Host Institution Course Title
DIFFERENTIAL EQUATIONS AND APPLIED METHODS
Host Institution Course Details
Host Institution Campus
University of East Anglia
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed

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COMPLEX ANALYSIS
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
127
UCEAP Course Suffix
E
UCEAP Official Title
COMPLEX ANALYSIS
UCEAP Transcript Title
COMPLEX ANALYSIS
UCEAP Quarter Units
5.00
UCEAP Semester Units
3.30
Course Description

This course offers a study of complex analysis. Topics include: holomorphic functions; analytic functions-- power series and elementary functions; complex integration-- Cauchy's integral formula and applications; the residue theorem and applications-- evaluation of integrals and series; conformal maps.

Prerequisites: Linear Algebra, Differential Calculus, Integral Calculus, Vector Calculus.

 

Language(s) of Instruction
English
Host Institution Course Number
18271
Host Institution Course Title
VARIABLE COMPLEJA
Host Institution Campus
Leganés
Host Institution Faculty
Escuela Politécnica Superior
Host Institution Degree
Grado en Matemática Aplicada y Computación
Host Institution Department
Departamento de Matemáticas
Course Last Reviewed
2021-2022

COURSE DETAIL

COMPLEX ANALYSIS
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
108
UCEAP Course Suffix
UCEAP Official Title
COMPLEX ANALYSIS
UCEAP Transcript Title
COMPLEX ANALYSIS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course introduces students to analytic function theory and applications. The topics include analytic functions, Cauchy-Riemann equations, harmonic functions, multivalued functions and the cut plane, singularities, Cauchy's theorem, Laurent series, evaluation of contour integrals, fundamental theorem of algebra, Argument Principle, and Rouche's Theorem.
Language(s) of Instruction
English
Host Institution Course Number
MT3503
Host Institution Course Title
COMPLEX ANALYSIS
Host Institution Course Details
Host Institution Campus
St Andrews
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics & Statistics
Course Last Reviewed
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