Discipline ID
97ac1514-598d-4ae9-af20-fdf75b940953
COURSE DETAIL
COMPLEX VARIABLES WITH APPLICATIONS
Country
Hong Kong
Host Institution
Chinese University of Hong Kong
Program(s)
Chinese University of Hong Kong
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
112
UCEAP Course Suffix
UCEAP Official Title
COMPLEX VARIABLES WITH APPLICATIONS
UCEAP Transcript Title
COMPLEX VARIABLES
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
This course introduces the basic properties of complex functions and analytic functions and illustrates the important use of these theories to other branches of mathematics and sciences. Topics include: complex numbers; limits, continuity and derivatives, Cauchy-Riemann equations, analytic functions; elementary functions; mapping by elementary functions; Contours integrals, Cauchy-Goursat theorem, Cauchy integral formula, Morera's theorem, maximum moduli of functions, the fundamental theorem of algebra; Taylor series and Laurent's series; residues and poles, evaluation of infinite real integrals.
Language(s) of Instruction
English
Host Institution Course Number
MATH2230
Host Institution Course Title
COMPLEX VARIABLES WITH APPLICATIONS
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
COURSE DETAIL
INTERDISIPLINARY PROJECTS
Country
Australia
Host Institution
University of Sydney
Program(s)
University of Sydney
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Environmental Studies
UCEAP Course Number
186
UCEAP Course Suffix
UCEAP Official Title
INTERDISIPLINARY PROJECTS
UCEAP Transcript Title
INTERDISPL PROJECTS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
University of Sydney welcomes 30 leading business, government, and community organizations to offer real-world projects available for eligible students to apply. The projects champion collaboration across discipline areas and provide rare opportunities to work with major industry partners on real-world problems. The projects are open to all eligible undergraduate students who have completed at least 1.5 years (3 semesters) of full time study. Students work in interdisciplinary groups throughout the semester, in collaboration with the industry partner and academic lead. Groups present their projects to the industry partner at the end of the semester.
Language(s) of Instruction
English
Host Institution Course Number
INDP3000
Host Institution Course Title
INTERDISCIPLINARY PROJECTS
Host Institution Course Details
Host Institution Campus
sydney
Host Institution Faculty
Host Institution Degree
Host Institution Department
Interdisciplinary Projects
Course Last Reviewed
COURSE DETAIL
FURTHER QUANTITATIVE METHODS (MATHEMATICS)
Country
United Kingdom - England
Host Institution
London School of Economics
Program(s)
London School of Economics
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
114
UCEAP Course Suffix
UCEAP Official Title
FURTHER QUANTITATIVE METHODS (MATHEMATICS)
UCEAP Transcript Title
FURTHER QUANT METHD
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This is a second course in quantitative methods, following on directly from Quantitative Methods (Mathematics) (MA107). This course contains further algebra and calculus. As with the course MA107, the emphasis is on applications in economics and finance. Topics include matrix methods in portfolio analysis; linear independence; rank of a matrix; eigenvalues and eigenvectors; diagonalization; linear systems of recurrence equations; Markov process; second-order recurrence equations; macroeconomic models; vector geometry; gradient and directional derivative; tangent hyperplanes and the optimal bundle; resource allocation and Pareto efficiency; orthogonal matrices and quadratic forms; critical points of quadratic functions; Taylor's approximation; and optimization of functions of two or more variables.
Language(s) of Instruction
English
Host Institution Course Number
MA207
Host Institution Course Title
FURTHER QUANTITATIVE METHODS (MATHEMATICS)
Host Institution Course Details
Host Institution Campus
London School of Economics
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
COURSE DETAIL
DECISION AND RISK
Country
United Kingdom - England
Host Institution
University College London
Program(s)
University College London
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Statistics
Mathematics
UCEAP Course Number
116
UCEAP Course Suffix
UCEAP Official Title
DECISION AND RISK
UCEAP Transcript Title
DECISION & RISK
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
The course provides an introduction to the ideas underlying the calculation of risk from a Bayesian and frequentist standpoint, and the structure of rational, consistent decision making. It is primarily intended for third and fourth year undergraduate students and taught postgraduate students registered on the degree programs offered by the Department of Statistical Science.
Language(s) of Instruction
English
Host Institution Course Number
STAT0011
Host Institution Course Title
DECISION AND RISK
Host Institution Course Details
Host Institution Campus
University College London
Host Institution Faculty
Host Institution Degree
bachelors
Host Institution Department
Stastistical Science
Course Last Reviewed
2021-2022
COURSE DETAIL
MATHEMATICAL METHODS IN PHYSICS
Country
Norway
Host Institution
University of Oslo
Program(s)
University of Oslo
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Physics
Mathematics
UCEAP Course Number
117
UCEAP Course Suffix
UCEAP Official Title
MATHEMATICAL METHODS IN PHYSICS
UCEAP Transcript Title
MATH METHOD PHYSICS
UCEAP Quarter Units
8.00
UCEAP Semester Units
5.30
Course Description
This course addresses a number of important mathematical methods often used in physics. The course discusses topics including basic complex analysis, differential equations, Fourier series, and transforms, tensor calculus, variational calculus, orthogonal functions, and Laplace transformations.
Language(s) of Instruction
English
Host Institution Course Number
FYS3140
Host Institution Course Title
MATHEMATICAL METHODS IN PHYSICS
Host Institution Course Details
Host Institution Campus
Mathematics and Natural Sciences
Host Institution Faculty
Host Institution Degree
Host Institution Department
Physics
Course Last Reviewed
COURSE DETAIL
ENGINEERING MATHEMATICS 2
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
21
UCEAP Course Suffix
UCEAP Official Title
ENGINEERING MATHEMATICS 2
UCEAP Transcript Title
ENGINEERING MATH 2
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
This course examines the basic principles of engineering mathematics, calculation, and their practical applications in engineering. The course covers linear algebra (matrix, vector, determinant, linear equation system, matrix eigenvalue problem), vector calculus, vector divergence and curl, gradient and direction derivative function of scalar field, Fourier series analysis and integration, Conversion and other units.
Language(s) of Instruction
Host Institution Course Number
TA10320421
Host Institution Course Title
ENGINEERING MATHEMATICS (II)
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Course Last Reviewed
2021-2022
COURSE DETAIL
MATHEMATICS FOR VISUAL DATA PROCESSING
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
168
UCEAP Course Suffix
UCEAP Official Title
MATHEMATICS FOR VISUAL DATA PROCESSING
UCEAP Transcript Title
VISUAL DATA PROCESS
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course studies various mathematical concepts and tools which have wide applications in image processing and computer vision. Topics: Hilbert space, least squares and orthonormal basis; continuous and discrete Fourier transform; spectral analysis for image processing; uncertainty principle and Gabor transform; multi-resolution analysis and wavelets; denoising. Emphasis is on the connections between theoretical analysis, computational algorithm, and practical implementation. Topics: transform in continuum space; discrete systems for computational algorithm; digital systems for practical implementation.
Language(s) of Instruction
English
Host Institution Course Number
MA4268
Host Institution Course Title
MATHEMATICS FOR VISUAL DATA PROCESSING
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
COURSE DETAIL
ALGEBRA II
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
141
UCEAP Course Suffix
UCEAP Official Title
ALGEBRA II
UCEAP Transcript Title
ALGEBRA II
UCEAP Quarter Units
4.50
UCEAP Semester Units
3.00
Course Description
In this course, students study groups (homomorphisms, isomorphisms, normal subgroups, and first isomorphism theorem); fundamental theorem of abelian groups, groups of small order, group actions, Burnside's lemma, and applications; linear algebra (direct sums, quotient spaces); determinants, minimal polynomials, and Cayley-Hamilton theorem; and canonical forms of matrices, Jordan normal form, and rational canonical form.
Language(s) of Instruction
English
Host Institution Course Number
M2PM2
Host Institution Course Title
ALGEBRA II
Host Institution Course Details
Host Institution Campus
Imperial College London
Host Institution Faculty
Host Institution Degree
Host Institution Department
Mathematics
Course Last Reviewed
2018-2019
COURSE DETAIL
DISCRETE MATHEMATICS
Country
China
Host Institution
Fudan University
Program(s)
Fudan University
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
Computer Science
UCEAP Course Number
169
UCEAP Course Suffix
UCEAP Official Title
DISCRETE MATHEMATICS
UCEAP Transcript Title
DISCRETE MATH
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
The course examines the foundation of infinite sets, the pigeon cage principle, repeatable permutations and combinations, graph theory concepts, Euler and Hamiltonian graphs, plane graphs , character coloring, tree, group, ring, domain, etc., and related literature for these knowledge points.
Language(s) of Instruction
Chinese
Host Institution Course Number
COMP130196
Host Institution Course Title
DISCRETE MATHEMATICS
Host Institution Course Details
Host Institution Campus
Host Institution Faculty
Haibin KAN
Host Institution Degree
Host Institution Department
Computer cie
Course Last Reviewed
2021-2022
COURSE DETAIL
MATHEMATICS FOR PHYSICAL SCIENCES AND ENGINEERING
Country
United Kingdom - England
Host Institution
Exeter College, University of Oxford
Program(s)
Summer in Oxford
UCEAP Course Level
Upper Division
UCEAP Subject Area(s)
Mathematics
UCEAP Course Number
115
UCEAP Course Suffix
S
UCEAP Official Title
MATHEMATICS FOR PHYSICAL SCIENCES AND ENGINEERING
UCEAP Transcript Title
MATH/PHYS SCI&ENG
UCEAP Quarter Units
6.00
UCEAP Semester Units
4.00
Course Description
This course explores some important areas of calculus used in many physical sciences and engineering courses. It builds upon the calculus of functions of single variables, to cover multi-variable calculus and functions of a complex variable. The former has applications in classical mechanics, thermodynamics, and electrostatics, for example, while the latter is used extensively in advanced quantum theory and signal processing. It is essential that students taking this course have already studied basic single variable calculus and basic linear algebra. The following topics will be assumed knowledge from the outset: differentiation (product, quotient, chain rules); integration (basic integration techniques, integration by parts and by substitution); and vectors in Cartesian coordinates, scalar (dot) and vector (cross) products.
Language(s) of Instruction
English
Host Institution Course Number
Host Institution Course Title
MATHEMATICS FOR PHYSICAL SCIENCES AND ENGINEERING
Host Institution Course Details
Host Institution Campus
Exeter College
Host Institution Faculty
Host Institution Degree
Host Institution Department
Course Last Reviewed