13 Summer Course Degrees in Mathematics 2024
- Oxford, United Kingdom
Full time
2 weeks
On-Campus
English
Your future in accounting, banking or education begins here. With a solid Mathematics qualification from Oxford Summer Courses, you’ll learn from world-class tutors in small groups and individually for focused, intense study.
Summer School in Algar 2024- Quadratic forms, linear algebraic groups and their invariants
University of Antwerp
Featured
- Antwerp, Belgium
Full time
5 days
On-Campus
English
In 2024, the ALGAR summer school will be dedicated to quadratic forms, linear algebraic groups, and their invariants. The lectures will be accompanied by exercise sessions and a couple of research talks. The confirmed speakers are: Julian Lyczak (University of Antwerp, Belgium)
Summer Course: Linear Algebra, Multivariable Calculus, and Modern Applications
Stanford Summer Session
Featured
- Stanford, USA
Full time
8 weeks
On-Campus
English
This course provides unified coverage of linear algebra and multivariable differential calculus. It discusses applications connecting the material to many quantitative fields. Linear algebra in large dimensions underlies the scientific, data-driven, and computational tasks of the 21st century. The linear algebra portion of the course includes orthogonality, linear independence, matrix algebra, and eigenvalues as well as ubiquitous applications: least squares, linear regression, Markov chains (relevant to population dynamics, molecular chemistry, and PageRank), singular value decomposition (essential in image compression, topic modeling, and data-intensive work in the natural sciences), and more. The multivariable calculus material includes unconstrained optimization via Graduateients and Hessians (used for energy minimization in physics and chemistry), constrained optimization (via Lagrange multipliers, crucial in economics), Graduateient descent, and the multivariable Chain Rule (which underlie many machine learning algorithms, such as backpropagation), and Newton's method (a crucial part of how GPS works).
- Stanford, USA
Full time
8 weeks
On-Campus
English
What are the theoretical limits of computing power? What problems can be solved with computers? Which ones cannot? And how can we reason about the answers to these questions with mathematical certainty? This course explores the answers to these questions and serves as an introduction to discrete mathematics, computability theory, and complexity theory. At the completion of the course, students will feel comfortable writing mathematical proofs, reasoning about discrete structures, reading and writing statements in first-order logic, and working with mathematical models of computing devices. Throughout the course, students will gain exposure to some of the most exciting mathematical and philosophical ideas of the late nineteenth and twentieth centuries.
- Stanford, USA
Full time
8 weeks
On-Campus
English
The Calculus Course addresses a variety of topics centered around the theme of "calculus with infinite processes", largely the content of BC-level AP Calculus that isn't in the AB-level syllabus. It is needed throughout probability and statistics at all levels, as well as to understand approximation procedures that arise in all quantitative fields (including economics and computer graphics).
- Stanford, USA
Full time
8 weeks
On-Campus
English
Introduction to probability theory, including probability axioms, conditional probability, independence, random variables, and expectation. Joint, marginal, and conditional distributions. Discrete models (binomial, hypergeometric, Poisson) and continuous models (normal, exponential).
- Stanford, USA
Full time
8 weeks
On-Campus
English
Discrete and continuous time Markov chains, Poisson processes, random walks, branching processes, first passage times, recurrence and transience, stationary distributions. Non-Statistics master's students may want to consider taking STATS 215 instead.
- Stanford, USA
Full time
8 weeks
On-Campus
English
Techniques for organizing data, computing, and interpreting measures of central tendency, variability, and association. Estimation, confidence intervals, tests of hypotheses, t-tests, correlation, and regression. Possible topics: analysis of variance and chi-square tests, computer statistical packages.
- Stanford, USA
Full time
8 weeks
On-Campus
English
Applied linear algebra and linear dynamical systems with applications to circuits, signal processing, communications, and control systems. Topics: least-squares approximations of over-determined equations, and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm, and singular-value decomposition. Eigenvalues, left and right eigenvectors, with dynamical interpretation.
- Stanford, USA
Full time
8 weeks
On-Campus
English
Fundamental concepts and tools for the analysis of problems under uncertainty, focusing on structuring, model building, and analysis. Examples from legal, social, medical, and physical problems. Topics include axioms of probability, probability trees, belief networks, random variables, conditioning, and expectation. The course is fast-paced but has no prerequisites.
- Stanford, USA
Full time
8 weeks
On-Campus
English
The Fourier transform is a tool for solving physical problems. Fourier series, the Fourier transform of continuous and discrete signals and its properties. The Dirac delta, distributions, and generalized transforms. Convolutions and correlations and applications; probability distributions, sampling theory, filters, and analysis of linear systems. The discrete Fourier transform and the FFT algorithm. Multidimensional Fourier transforms and use in imaging. Further applications to optics, and crystallography. Emphasis is on relating theoretical principles to solving practical engineering and science problems.
Summer Course: Introduction to Probability and Statistics for Engineers
Stanford Summer Session
Featured
- Stanford, USA
Full time
8 weeks
On-Campus
English
Random variables, independence, and conditional probability; discrete and continuous distributions, moments, and distributions of several random variables. Topics in mathematical statistics: random sampling, point estimation, confidence intervals, hypothesis testing, non-parametric tests, regression and correlation analyses; applications in engineering, industrial manufacturing, medicine, biology, and other fields. Prerequisite: CME 100/ENGR154 or MATH 51 or 52.
- Medford, USA
Full time, Part time
6 weeks
On-Campus
English
Our International STEM Scholar Program is an intensive 6-week graduate-level preparatory program designed to prepare you for enrolling in any English speaking Science, Technology, Engineering, or Math graduate-level program. As part of our STEM Scholars course, you will develop your academic writing, research, communication, and presentation skills while building the confidence necessary for success in graduate school or the workplace.