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

COURSE DETAIL

DATA VISUALIZATION
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Statistics Mathematics
UCEAP Course Number
112
UCEAP Course Suffix
UCEAP Official Title
DATA VISUALIZATION
UCEAP Transcript Title
DATA VISUALIZATION
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description

In this online course, learn how to construct graphs and visualizations according to the theory Grammar of Graphics. Learn how to create visualizations yourself using the software R and its package ggplot2. A central part of creating visualizations is making choices. Through the choices you make, your visualizations are more or less intelligible and also highlight different aspects of the data. An important element of the course is therefore to review visualizations by other course participants. Topics covered in the course include introduction to R and ggplot2; choice of color, symbols, scales, and perspective (2D, 3D); summation and abstraction; interactive visualizations; maps and spatial data; visualization of statistical models.

Language(s) of Instruction
English
Host Institution Course Number
STAE04
Host Institution Course Title
DATA VISUALIZATION
Host Institution Campus
Lund
Host Institution Faculty
Economics and Management
Host Institution Degree
Host Institution Department

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RISK THEORY
Country
United Kingdom - England
Host Institution
University of Manchester
Program(s)
University of Manchester
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics Business Administration
UCEAP Course Number
152
UCEAP Course Suffix
N
UCEAP Official Title
RISK THEORY
UCEAP Transcript Title
RISK THEORY
UCEAP Quarter Units
4.00
UCEAP Semester Units
2.70
Course Description

This course provides students with a further grounding in the important statistical and probabilistic techniques and models relevant to the non-life insurance industry.

Language(s) of Instruction
English
Host Institution Course Number
MATH39542
Host Institution Course Title
RISK THEORY
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics

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MULTI-VARIABLE CALCULUS AND DIFFERENTIAL EQUATIONS
Country
United Kingdom - England
Host Institution
Imperial College London
Program(s)
Imperial College London
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
122
UCEAP Course Suffix
Y
UCEAP Official Title
MULTI-VARIABLE CALCULUS AND DIFFERENTIAL EQUATIONS
UCEAP Transcript Title
CALCULUS&DIFFER EQU
UCEAP Quarter Units
10.00
UCEAP Semester Units
6.70
Course Description

This course introduces more advanced topics in calculus and ordinary differential equations. The course introduces students to multi-dimensional vector calculus and differential operators, and to the calculus of variations and the concept of variational problems. Differential equations play a key role in both pure and applied mathematics. The importance of these ideas is emphasized by the inclusion of a number of applications in physics, engineering, and biology. 

Language(s) of Instruction
English
Host Institution Course Number
MATH50004
Host Institution Course Title
MULTI-VARIABLE CALCULUS AND DIFFERENTIAL EQUATIONS
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics

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LAB RESEARCH
Country
Japan
Host Institution
Tohoku University
Program(s)
STEM Research in Tohoku
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Physics Mechanical Engineering Mathematics Materials Science Environmental Studies Engineering Electrical Engineering Earth & Space Sciences Computer Science Civil Engineering Chemistry Chemical Engineering Biological Sciences Bioengineering Biochemistry Agricultural Sciences
UCEAP Course Number
186
UCEAP Course Suffix
S
UCEAP Official Title
LAB RESEARCH
UCEAP Transcript Title
LAB RESEARCH
UCEAP Quarter Units
9.00
UCEAP Semester Units
6.00
Course Description

This six-week summer course provides individual research training through the experience of belonging to a specific laboratory at Tohoku University. Students are assigned to a laboratory research group with Japanese and international students under the supervision of Tohoku University faculty. They participate in various group activities, including seminars, for the purpose of training in research methods and developing teamwork skills. The specific topic studied depends on the instructor in charge of the laboratory to which each student is assigned. The methods of assessment vary with the student's project and laboratory instructor. Students submit an abstract concerning the results of their individual research each semester and present the results near the end of this program.

Language(s) of Instruction
English
Host Institution Course Number
N/A
Host Institution Course Title
LAB RESEARCH
Host Institution Campus
Tohoku University
Host Institution Faculty
Host Institution Degree
Host Institution Department

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DISCRETE MATHEMATICS
Country
Korea, South
Host Institution
Seoul National University
Program(s)
Seoul National University
UCEAP Course Level
Lower Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
10
UCEAP Course Suffix
UCEAP Official Title
DISCRETE MATHEMATICS
UCEAP Transcript Title
DISCRETE MATHEMATCS
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description

This introductory course covers mathematical topics closely related to computer science. Topics include: logic, sets, functions, relations, countability, combinatorics, proof techniques, mathematical induction, recursion, recurrence relations, graph theory, and number theory. The course emphasizes the context and applications of these concepts within computer science. Prerequisites: No prior programming experience is assumed. 

Language(s) of Instruction
English
Host Institution Course Number
4190.101
Host Institution Course Title
DISCRETE MATHEMATICS
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department

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BIOMATHEMATICS
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics Biological Sciences
UCEAP Course Number
157
UCEAP Course Suffix
UCEAP Official Title
BIOMATHEMATICS
UCEAP Transcript Title
BIOMATHEMATICS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

This course provides a basic introduction to mathematical theory and methods in biology, with enough scope to enable the student to handle biologically phrased problems. Topics covered include population models with discrete or continuous time, pharmacokinetics and -dynamics, qualitative analysis of systems of differential equations, modelling of the spread of infectious diseases, bifurcations, limit cycles, and excitable media with applications to, e.g., predator-prey models, spatial methods with application to diffusion, and nerve conduction.

Language(s) of Instruction
English
Host Institution Course Number
FMAN01
Host Institution Course Title
BIOMATHEMATICS
Host Institution Campus
Lund
Host Institution Faculty
Engineering
Host Institution Degree
Host Institution Department

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INTRODUCTION TO HIGHER ANALYSIS
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
144
UCEAP Course Suffix
UCEAP Official Title
INTRODUCTION TO HIGHER ANALYSIS
UCEAP Transcript Title
INTR HIGH ANALYSIS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

The course covers properties of the real numbers R: completeness axiom, Cauchy sequences, cardinality of rational, and irrational numbers; Topology in Rn: open and closed sets, p-norms, convergence, compactness, the Bolzano-Weierstrass theorem, and connected sets; Continuous functions in Rn: intermediate value theorem, min-max theorem, uniform continuity, continuity of inverse functions, implicit function theorem; Convergence of sequences and series of functions: pointwise, absolute, and uniform convergence, term wise differentiation and integration, power series;  and examples of applications to selected topics relevant to mathematical research at the center for mathematical sciences. Admission to the course requires at least 30 credits in mathematics including knowledge corresponding to MATA31 Analysis in One Variable, 15 credits, MATA32 Algebra and Vector Geometry, 7.5 credits and NUMA01 Computational Programming with Python, 7.5 credits.

Language(s) of Instruction
English
Host Institution Course Number
MATB33
Host Institution Course Title
INTRODUCTION TO HIGHER ANALYSIS
Host Institution Campus
Lund
Host Institution Faculty
Science
Host Institution Degree
Host Institution Department

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LINEAR ALGEBRA 2
Country
United Kingdom - England
Host Institution
University of Sussex
Program(s)
University of Sussex
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
106
UCEAP Course Suffix
UCEAP Official Title
LINEAR ALGEBRA 2
UCEAP Transcript Title
LINEAR ALGEBRA 2
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

In this course, students learn about vectors spaces, subspaces, bases, inner products, linear transformations, rank/nullity, matrices of linear maps, change of basis, eigenvalues/eigenvectors, Jordan normal form, diagonalization, and special classes of linear transformations and their matrices.

Language(s) of Instruction
English
Host Institution Course Number
G5138
Host Institution Course Title
LINEAR ALGEBRA 2
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics

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COMPUTATIONAL SCIENCE: SYSTEMS BIOLOGY - MODELS AND COMPUTATIONS
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics Computer Science Biological Sciences
UCEAP Course Number
116
UCEAP Course Suffix
UCEAP Official Title
COMPUTATIONAL SCIENCE: SYSTEMS BIOLOGY - MODELS AND COMPUTATIONS
UCEAP Transcript Title
SYST BIO MODELS CMP
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

The course covers the translation between biology and mathematics; population models and spatial models, simulations: Deterministic versus stochastic simulations of mathematical models; weaknesses, strengths, and applicability; the Gillespie algorithm for stochastic simulations: Naive implementation and possible optimizations for large systems; cost functions; optimization methods including local optimization, thermodynamic methods, particle-swarm optimization, and genetic algorithms; and sensitivity analysis: Estimation of the uncertainty of determined parameter values. Strategies to achieve robustness. Admission to the course requires 90 credits Science studies, including knowledge equivalent to BERN01 Modelling in Computational Science, 7.5 credits or FYTN03 Computational physics, 7.5 credits and English 6/B. Admission to the course also requires knowledge in programming in Python equivalent to NUMA01, 7.5 credits or similar knowledge in Matlab, C++ or the like programming language.

Language(s) of Instruction
English
Host Institution Course Number
BERN06
Host Institution Course Title
COMPUTATIONAL SCIENCE: SYSTEMS BIOLOGY - MODELS AND COMPUTATIONS
Host Institution Campus
Lund
Host Institution Faculty
Science
Host Institution Degree
Host Institution Department

COURSE DETAIL

ANALYSIS IN SEVERAL VARIABLES 2
Country
Sweden
Host Institution
Lund University
Program(s)
Lund University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
162
UCEAP Course Suffix
UCEAP Official Title
ANALYSIS IN SEVERAL VARIABLES 2
UCEAP Transcript Title
ANALYSIS VARIABLS 2
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description

The course is an introduction to vector calculus and a specialization of differential and integral calculus of functions of several variables. The course covers line and surface integrals; Green's formula, Gauss divergence theorem, and Stokes theorem; Basic potential theory. To be eligible for the course, 45 credits in courses in mathematics equivalent to MATA21 Analysis in One Variable (15 credits), MATA22 Linear Algebra 1 (7.5 credits), MATA21 Analysis in Several Variables 1 (7.5 credits), MATB22 Linear Algebra 2 (7.5 credits) and one of the courses NUMA01 Computational Programming with Python (7.5 credits) and MATA23 Foundations of Algebra, (7.5 credits) are required.
 

Language(s) of Instruction
English
Host Institution Course Number
MATB23
Host Institution Course Title
ANALYSIS IN SEVERAL VARIABLES 2
Host Institution Campus
Lund
Host Institution Faculty
Science
Host Institution Degree
Host Institution Department
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