December 21, 2023: School of Mathematics, Nantong University, Nantong, China.
December 15, 2023: School of Mathematical Sciences, Nanjing Normal University, Nanjing, China.
Description: This workshop will build on your knowledge of vectors, then extend to matrices, and show how they are part of a family of mathematical structures called tensors. We will explore how large amounts of data can be managed and handled through vectors and matrices. A hands-on introduction to MATLAB will include calculating physical properties using matrices and you will learn how these techniques can be used to solve physical problems from quantum chemistry calculations on atoms and molecules to automatic face recognition.
Morning session (90 minutes)
Part 1: Introduction to Big Data in STEM - applications, challenges, computing (10 minutes)
Part 2: Storing information on computers - vectors, matrices and tensors (30 minutes)
Vectors and introduction to matrices via interactive game
Introduction to tensors and unfolding of tensors (in the context of vectors and matrices) – dimensionality reduction
Part 3: Introduction to MATLAB: a hands-on activity (40 minutes)
Storing information in arrays (vectors, matrices and tensors) %plotting 2-D and 3-D vectors
Reading large data sets from external sources (Finance app)
Afternoon session (90 minutes)
Part 1: Solving physical problems (40 minutes)
Matrices in quantum chemistry
Matrices and the finite element method in engineering
Tensors and data compression techniques
Part 2: Using MATLAB for data compression: a hands-on activity (35 minutes)
Part 3: Q&A and evaluation (10 minutes)
Description: The workshop provides an introduction to quantum chemistry (atomic models,spectroscopy,Bohr’s explanation of the periodic table etc) in conjunction with hands-on activities.
Introduction to Quantum Chemistry (Prof. M. Melgaard)
Quantum Chemistry in action: hands-on activities
Activity 1: The Quantum Leap Game – the Bohr model of the atom
Activity 2: The Chemical Detective – Guess the Gas
Activity 3: Making Molecules – a taste of University study
Description: This workshop will build on your knowledge of vectors, then extend to matrices, and show how they are part of a family of mathematical structures called tensors. We will explore how large amounts of data can be managed and handled through vectors and matrices. A hands-on introduction to MATLAB will include calculating physical properties using matrices and you will learn how these techniques can be used to solve physical problems from quantum chemistry calculations on atoms and molecules to automatic face recognition.
Morning session (90 minutes)
Part 1: Introduction to Big Data in STEM - applications, challenges, computing (10 minutes)
Part 2: Storing information on computers - vectors, matrices and tensors (30 minutes)
Vectors and introduction to matrices via interactive game
Introduction to tensors and unfolding of tensors (in the context of vectors and matrices) – dimensionality reduction
Part 3: Introduction to MATLAB: a hands-on activity (40 minutes)
Storing information in arrays (vectors, matrices and tensors) %plotting 2-D and 3-D vectors
Reading large data sets from external sources (Finance app)
Afternoon session (90 minutes)
Part 1: Solving physical problems (40 minutes)
Matrices in quantum chemistry
Matrices and the finite element method in engineering
Tensors and data compression techniques
Part 2: Using MATLAB for data compression: a hands-on activity (35 minutes)
Part 3: Q&A and evaluation (10 minutes)