# Mathematical, Physical and Life Sciences (MPLS)

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The Mathematical, Physical and Life Sciences (MPLS) Division is one of the four academic divisions of the University of Oxford. We have over 6,000 students and research staff, and generate over half of our funding from external research grants.

The MPLS Division's 10 departments and 3 interdisciplinary units span the full spectrum of the mathematical, computational, physical, engineering and life sciences, and undertake both fundamental research and cutting-edge applied work. Our research addresses major societal and technological challenges and is increasingly interdisciplinary in nature. We collaborate closely with colleagues in Oxford across the medical sciences, social sciences and humanities.

Today's scientific research not only crosses traditional subject boundaries, but also transcends national boundaries: MPLS scientists collaborate with researchers from around the world, and play leading roles in many international projects.

## Series associated with Mathematical, Physical and Life Sciences (MPLS)

# | Episode Title | Description | People | Date | |
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1 | Strachey Lecture - Probabilistic machine learning: foundations and frontiers | Professor Zoubin Ghahramani gives a talk on probabilistic modelling from it's foundations to current areas of research at the frontiers of machine learning. | Zoubin Ghahramani | 15 Mar 2017 | |

2 | Will supersonic transport ever make a comeback? | The Concord is seen as an iconic aircraft and a technological breakthrough – so why can we only see them in museums? In our episode of The Big Questions podcast series we visited Dr Neil Ashton from the E-Research Centre at the University of Oxford to ask | Neil Ashton | 13 Mar 2017 | |

3 | The Future of Particle Physics Panel Discussion | Panel discussion with Prof John Womersley (STFC), Prof John Wheater (Department of Physics), Prof Ian Shipsey (Particle Physics), Prof Dave Wark (Particle Physics), Prof Daniella Bortoletto (Physics) and Prof Subir Sarkar (Particle Theory Group) | John Womersley, John Wheater, Ian Shipsey, Dave Wark | 07 Mar 2017 | |

4 | The Future of Particle Physics: The Particle Physics Christmas Lecture | Professor John Womersley (STFC) gives the Particle Physics Christmas Lecture. | John Womersley | 07 Mar 2017 | |

5 | Kilometres: Turbulence - Morning of Theroetical Physics | Fasten Your Seat Belts: Turbulent Flows in Nature. Turbulence is ubiquitous in nature, and it often causes us headaches both literal and metaphorical. | Michael Barnes | 28 Feb 2017 | |

6 | Microns: The bacterial viewpoint - Morning of Theroetical Physics | Ramin Golestanian will introduce you to Life at Low Reynolds number and ask how microorganisms can swim, navigate, and coordinate their activities. | Ramin Golestanian | 28 Feb 2017 | |

7 | Centimetres: Fluids all around us - Morning of Theroetical Physics | Julia Yeomans will talk about fluids and flows all around us: from superhydrophobic surfaces and how animals and plants keep dry, to bouncing droplets and balloons. | Julia Yeomans | 28 Feb 2017 | |

8 | How do you turn an orange into a grapefruit? | Favouring. It’s a global industry and here in Oxford a group of scientists are getting a ‘taste’ of the action by making natural flavours by manipulating enzymes. | Alize Pennec | 27 Feb 2017 | |

9 | Statistics: Why the Truth Matters Tim Harford | Tim Harford, Financial Times columnist and presenter of Radio 4's "More or Less", argues that politicians, businesses and even charities have been poisoning the value of statistics and data. | Tim Harford | 14 Feb 2017 | |

10 | Earthquakes, can we make smarter buildings? | Major earthquakes across the world have damaged or destroyed numerous buildings, bridges, and other structures. But is there a way of monitoring the building structures to see if it is at risk of falling after an earthquake has struck? | Orfeas Kypris | 09 Feb 2017 | |

11 | What can a power ballad can teach us about the sex life of a fruit flies? | Music provides the soundtrack to our lives. The highs, the lows and the heartache. So why wouldn’t it be the same for a fruit fly? On this episode of the Oxford Sparks Big Questions podcast, we mix music with sex education of fruit flies! | Stuart Wigby, Sally Le Page, Eleanor Bath | 27 Jan 2017 | |

12 | Lion Statue | On whether there were ever lions in Egypt. Today, there are no lions roaming wild in north Africa, but evidence from ancient Egypt suggests that lions once did. | David Whyte Macdonald | 23 Jan 2017 | |

13 | Henry VIII Renaissance Medal | On Henry VIII and the Founding of the Church of England Minted at London in 1545, this medal shows a bust of Henry VIII, with inscriptions in Hebrew and Greek on the reverse. | Diarmaid MacCulloch | 23 Jan 2017 | |

14 | Meissen porcelain chocolate cup and tea bowl | On arranged marriages among royalty. | Helen Watanabe-O'Kelly | 23 Jan 2017 | |

15 | Arab robe worn by T. E. Lawrence | On Lawrence of Arabia and wearing Arab robes. T. E. Lawrence, or Lawrence of Arabia was infamous for his scruffy appearance when in the British Khaki uniform, and wore it as little as possible. | Eugene Rogan | 23 Jan 2017 | |

16 | Silver-gilt carriage clock | This travelling calendar carriage clock dates to 1747–1823. Why would such a clock need to have both lunar and sun time represented on it? With Professor Chris Lintott Astrophysics, University of Oxford. | Chris Lintott | 23 Jan 2017 | |

17 | Ennui by Walter Richard Sickert | On Viginia Woolf's interpretation of Walter Sickert's painting of Ennui. | Dame Hermione Lee | 23 Jan 2017 | |

18 | Mummified Child | On growing up and dying in ancient and modern populations. | Sarah Harper | 23 Jan 2017 | |

19 | Carved Stone Ball | We still do not know why these stone balls were created. They date to the late Neolithic or early Bronze Age, between 3200 and 1500 BC. | Marcus du Sautoy | 23 Jan 2017 | |

20 | Portrait of Mademoiselle Claus by Édouard Manet | Are Eastern Art and Western Art basically the same, and what is painting for? On Édouard Manet, Cézanne and their similarity to Chinese paintings. With Professor Craig Clunas Art History, University of Oxford. | Craig Clunas | 23 Jan 2017 | |

21 | Tombstone of a Muslim girl | On what were people’s feelings about death and the dead in North Africa a thousand years ago? What does this tombstone tell us? With Professor Julia Bray, Arabic, University of Oxford. | Julia Bray | 23 Jan 2017 | |

22 | How do we stop our social media obsession from making us a target for crime? | How vulnerable are we to crime by the statuses we post on our social accounts? | Jason Nurse | 17 Jan 2017 | |

23 | Creative Commons | The Mathematics of Visual Illusions | Puzzling things happen in human perception when ambiguous or incomplete information is presented to the eyes. In this lecture Ian Stewart demonstrates how these phenomena provide clues about the workings of the visual system. | Ian Stewart | 05 Jan 2017 |

24 | How do you make scientific equipment space proof? | Since the 1960’s man has been sending missions to Mars. Some successes, some failures. This hasn’t stopped scientists trying to explore this incredible red planet. | Colin Wilson | 21 Dec 2016 | |

25 | What would life be like if Parasitoid Wasps didn’t exist? | Our Festive episode of our Oxford Sparks podcast follows the traditional Christmas story of ‘It’s a Wonderful Life’. | Christopher Jeffs | 14 Dec 2016 | |

26 | The Observer Strikes Back | What is an observer? In the fifth and final part of their discussion, Jim Hartle and Bernard Carr discuss the nature of observers. | Jim Hartle, Bernard Carr | 06 Dec 2016 | |

27 | No Boundaries for Quantum Cosmology | Where is the observer in the universe? In the fourth part of their discussion, Jim Hartle and Bernard Carr discuss Jim Hartle’s no-boundary proposal. | Bernard Carr, Jim Hartle | 06 Dec 2016 | |

28 | Physics and Philosophy | What are the limits of physics? In the third part of their discussion, Bernard Carr and Jim Hartle talk about the point at which physics ends and philosophy begins. | Bernard Carr, Jim Hartle | 06 Dec 2016 | |

29 | The Quantum and Cosmological Scales | How do we combine our theory of the very small with our theory of the largest scales of the universe? In the second part of their discussion, Jim Hartle and Bernard Carr hash out the connections between cosmology and quantum mechanics. | Jim Hartle, Bernard Carr | 06 Dec 2016 | |

30 | What Fine Tunings Are There? | Is the universe fine-tuned for life? In the first part of their discussion, Bernard Carr and Jim Hartle discuss how physical theories might contain unexplained assumptions that are necessary for the existence of life. | Bernard Carr, Jim Hartle | 06 Dec 2016 | |

31 | Can bubbles help cure cancer? | On this episode, can bubbles cure cancer? | Eleanor Stride | 02 Dec 2016 | |

32 | Astronomy at the Highest Energies: Exploring the Extreme Universe with Gamma Rays | Physics Colloquium 25 November 2016 delivered by Dr Jamie Holder | Jamie Holder | 30 Nov 2016 | |

33 | Creative Commons | Are exhausts causing dementia? | Many people are exposed to exhaust emissions every day in different ways. But what are the harmful effects of these fumes when we breathe them in? Could we see difficulties in other areas of our bodies? What is it doing to our brains? | Imad Ahmed | 21 Nov 2016 |

34 | Exotic combinations of quarks - A journey of fifty years | Physics Colloquium 11 November 2016 delivered by Professor Jon Rosner | Jon Rosner | 17 Nov 2016 | |

35 | Our Simple but Strange Universe | The 13th Hintze Biannual Lecture delivered by Professor David Spergel | David Spergel | 17 Nov 2016 | |

36 | How can we understand our complex economy? | We are getting better at predicting things about our environment - the impact of climate change for example. But what about predicting our collective effect on ourselves? | J Doyne Farmer | 10 Nov 2016 | |

37 | Oxford University Department of Computer Science: Second Year Group Design Practicals | Students undertaking undergraduate (first) degrees in Computer Science, Computer Science & Philosophy and Maths & Computer Science undertake a Group Design Practical as a compulsory part of the course. | Computer Science Students | 08 Nov 2016 | |

38 | Creative Commons | How do you make a reliable weather forecast? | Latest episode from Oxford Sparks, this episode on how to predict the weather. | Hannah Christensen | 04 Nov 2016 |

39 | Strachey Lecture - The Once and Future Turing | Professor Andrew Hodges author of 'Alan Turing: The Enigma' talks about Turing's work and ideas from the definition of computability, the universal machine to the prospect of Artificial Intelligence. | Andrew Hodges, Mike Wooldridge | 02 Nov 2016 | |

40 | Topology and the Classification of Matter: New Physics Hidden in Plain Sight | Third lecture "More is different" - how states of matter emerge from quantum theory Saturday morning of Theoretical Physics. With Professor Steve Simon, introduction by Professor John WheelerThird | Steve Simon | 01 Nov 2016 | |

41 | Magnets, superfluids and superconductors | Second lecture "More is different" - how states of matter emerge from quantum theory Saturday morning of Theoretical Physics. With Professor Fabian Essler, introduction by Professor John Wheeler. | Fabian Essler | 01 Nov 2016 | |

42 | Identical particles: from one to many | First lecture in the "More is different" - how states of matter emerge from quantum theory Saturday morning of Theoretical Physics. With Professor John Chalker, introduction by Professor John Wheeler. | John Chalker | 01 Nov 2016 | |

43 | Searching for - and finding! Gravitational Waves | Physics Colloquium 27th October 2016 delivered by Professor Gabriela Gonzalez | Gabriela Gonzalez | 01 Nov 2016 | |

44 | Visualizing Quantum Matter | Physics Colloquium 28 October 2016 delivered by Professor Séamus Davis | Séamus Davis | 01 Nov 2016 | |

45 | Atmospheric Circulation and Climate Change | Physics Colloquium 21st October 2016 delivered by Professor Theodore (Ted) Shepherd | Theodore (Ted) Shepherd | 01 Nov 2016 | |

46 | Autism and Minds Wired for Science | Simon Baron-Cohen, Professor of Developmental Psychopathology, Cambridge, and Director of the Autism Research Centre, gives the 2016 Charles Simonyi Lecture on new research into autism. | Simon Baron-Cohen, Marcus du Sautoy | 31 Oct 2016 | |

47 | Creative Commons | The explosion mechanism of massive stars | Physics Colloquium 14th October 2016 delivered by Professor Thierry Foglizzo | Thierry Foglizzo | 27 Oct 2016 |

48 | Is my bacon sandwich really going to kill me? | Statistician Dr Jennifer Rogers discusses the numbers linked to processed meat and bowel cancer. | Jennifer Rogers | 25 Oct 2016 | |

49 | DMRG in Quantum Chemistry: From its relation to traditional methods to n-orbital density matrices and beyond | In my talk I will attempt to provide an overview on the application of the density matrix renormalization group (DMRG) algorithm in quantum chemistry. | Markus Reiher | 21 Oct 2016 | |

50 | (Almost) 25 Years of DMRG - What Is It About? | In this talk, I will introduce DMRG both from the historical (statistical) and modern (matrix product state) perspective, highlighting why it has become the method of choice for one-dimensional quantum systems in and out of equilibrium. | Ulrich Schollwöck | 21 Oct 2016 | |

51 | Openness of a Many-fermion Quantum System from the Generalized Pauli Principle | Information about the interaction of a many-electron quantum system with its environment is encoded within the one-electron density matrix (1-RDM). | Romit Chakraborty | 21 Oct 2016 | |

52 | Generalized Pauli Constraints in Reduced Density Matrix Functional Theory | Reduced Density Matrix Functional Theory is a method that relies on the 1-1 correspondence between the ground state wavefunction of many electron systems and the first order reduced density matrix(1RDM) and uses the second one as its fundamental valuable. | Iris Theophilou | 21 Oct 2016 | |

53 | Quasipinning and Extended Hartree-Fock Method based on Generalized Pauli Constraints | It is now known that fermionic natural occupation numbers (NON) do not only obey Pauli’s exclusion principle but are even stronger restricted by the so-called generalized Pauli constraints (GPC). | Carlos Benavides-Riveros | 21 Oct 2016 | |

54 | Fermionic Exchange Symmetry: Quantifying its Influence beyond Pauli’s Exclusion Principle | The Pauli exclusion principle has a strong impact on the properties and the behavior of most fermionic quantum systems. Remarkably, even stronger restrictions on fermionic natural occupation numbers follow from the fermionic exchange symmetry. | Felix Tennie | 21 Oct 2016 | |

55 | Pinning of Fermionic Occupation Numbers | The Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. | Matthias Christandl | 21 Oct 2016 | |

56 | Calculation Of Generalized Pauli Constraints | In the talk I am planning to explain two different solutions of N-representability problem and then give the algorithm to calculate GPCs. | Murat Altunbulak | 21 Oct 2016 | |

57 | Quantum Marginal Problem and Generalized Pauli Constraints | I will give an introduction to the univariate quantum marginal problem using an elementary mathematical point of view. In particular, I will explain how extremality of the local spectrum carries structural information about the global wave function. | David Gross | 21 Oct 2016 | |

58 | Derivation of the time-dependent Hartree(-Fock)-equation | In the talk I will present recent progress in proving closeness of the microscopic and effective description for systems of many fermions. | Peter Pickl | 21 Oct 2016 | |

59 | Physical Meaning of Natural Orbitals and Natural Occupation Numbers | We show that the success of reduced density-matrix functional theory in describing molecular dissociation lies in the flexibility provided by fractional occupation numbers while the role of the natural orbitals is minor. | Nicole Helbig | 21 Oct 2016 | |

60 | Introduction and Overview of the Reduced Density Matrix Functional Theory | In this presentation, we review the theoretical foundations of RDMFT the most successful approximations and extensions, we assess present-day functionals on applications to molecular and periodic systems and we discuss the challenges and future prospect | Nektarios N. Lathiotakis | 21 Oct 2016 | |

61 | As he retires from the the Savilian Chair of Geometry, Oxford Mathematician Nigel Hitchin reflects | From early mathematical inspiration at school in Duffield, Derbyshire, Nigel recalls his often unplanned progress via Jesus College, Oxford, Princeton, Cambridge and Warwick, before his final return to Oxford. | Nigel Hitching, Martin Bridson | 19 Oct 2016 | |

62 | Fashion, Faith, and Fantasy in the New Physics of the Universe | What can fashionable ideas, blind faith, or pure fantasy have to do with the scientific quest to understand the universe? Surely, scientists are immune to trends, dogmatic beliefs, or flights of fancy? | Roger Penrose | 19 Oct 2016 | |

63 | Creative Commons | PDEs (5.8) | In this concluding lecture, Professor Nick Trefethen discusses the question Who invented the great numerical algorithms? | Nick Trefethen | 17 Oct 2016 |

64 | Creative Commons | PDEs (5.7) | In this lecture, Professor Trefethen discusses Chebyshev spectral discretization. | Nick Trefethen | 17 Oct 2016 |

65 | Creative Commons | PDEs (5.6) | In this lecture, Professor Trefethen discusses Fourier, Laurent, and Chebyshev. Then, Chebyshev series and interpolants | Nick Trefethen | 17 Oct 2016 |

66 | Creative Commons | PDEs (5.5) | In this lecture, Professor Trefethen discusses Fourier spectral discretization and Fourier spectral discretization via FFT. | Nick Trefethen | 17 Oct 2016 |

67 | Creative Commons | PDEs (5.4) | In this lecture, Professor Trefethen discusses finite differencing in general grids and multiple space dimensions. | Nick Trefethen | 17 Oct 2016 |

68 | Creative Commons | PDEs (5.3) | In this lecture, Professor Trefethen discusses order of accuracy and reaction-diffusion equations and other stiff PDEs. | Nick Trefethen | 17 Oct 2016 |

69 | Creative Commons | PDEs (5.2) | In this lecture, Professor Trefethen discusses numerical instability and implicit 1D finite differences. | Nick Trefethen | 17 Oct 2016 |

70 | Creative Commons | PDEs (5.1) | In this lecture, Professor Trefethen discusses PDEs in science and engineering, and explicit 1D finite differences. | Nick Trefethen | 17 Oct 2016 |

71 | Creative Commons | ODEs and Nonlinear Dynamics (4.4) | In this lecture, Professor Trefethen discusses stability regions, stiffness, and looks at BVPs in Chebfun. | Nick Trefethen | 17 Oct 2016 |

72 | Creative Commons | ODEs and Nonlinear Dynamics (4.3) | In this lecture, Professor Trefethen discusses planetary motions, chaos and Lyapunov exponents, the Lorenz equations, and lastly Sinai billiards and the SIAM 100-digit challenge. | Nick Trefethen | 17 Oct 2016 |

73 | Creative Commons | ODEs and Nonlinear Dynamics (4.2) | In this lecture, Professor Trefethen discusses order of accuracy, convergence and stability, and adaptive ODE codes. | Nick Trefethen | 17 Oct 2016 |

74 | Creative Commons | ODEs and Nonlinear Dynamics (4.1) | In this lecture, Professor Trefethen discusses ODEs and IVPs, Runge-Kutta and multistep formulas, IVP codes in MATLAB and Simulink, and in the end reviews IVP solutions in Chebfun. | Nick Trefethen | 17 Oct 2016 |

75 | Dark Matter, Fine-Tuned | What surprising features of our theories cry out for explanation? Rocky Kolb and Rafael Alves Batista consider features of our theories that look unlikely or unnatural, and what our chances are for building a unified theory that explains them. | Rocky Kolb, Rafael Alves Batista | 12 Oct 2016 | |

76 | Why Now? | We’re at a particularly interesting time in the evolution of the universe. Rafael Alves Batista and Rocky Kolb chat about the interesting features of our time, and why we should--or should not--expect to be living now. | Rocky Kolb, Rafael Alves Batista | 12 Oct 2016 | |

77 | Dark Matter Particles | What sort of things could dark matter be, and how would we tell which it is? Rafael Alves Batista and Rocky Kolb review the main candidate dark matter particles, and consider our chances for telling which one is out there. | Rocky Kolb, Rafael Alves Batista | 12 Oct 2016 | |

78 | The Future of Dark Matter | In the third part of their discussion, Celine Boehm and Justin Read mull over what we can learn from dark matter. Will understanding dark matter lead us to a small change in the standard model, or a large one? | Justin Read, Celine Boehm | 12 Oct 2016 | |

79 | How Does Dark Matter Act? | In the second part of their discussion, Celine Boehm and Justin Read talk about how dark matter acts, both on large scales, at early times, and in small galaxies much nearer to us. | Justin Read, Celine Boehm | 12 Oct 2016 | |

80 | How Do We Find Dark Matter? | In the first part of their discussion, Justin Read and Celine Boehm go over our evidence for dark matter and consider the possible particles that could make it up. | Justin Read, Celine Boehm | 12 Oct 2016 | |

81 | Two-electron Reduced Density Matrices in Quantum Chemistry and Physics | Strongly correlated quantum systems are not easily described with conventional quantum chemistry formalism because the number of non-negligible configurations grows exponen- tially with the number of orbitals actively participating in the correlation. | David A. Mazziotti | 11 Oct 2016 | |

82 | Entanglement Spectroscopy and its application to the fractional quantum Hall phases | In this talk, we will give an overview of the entanglement spectroscopy with a focus on to the fractional quantum Hall phases. | Nicolas Regnault | 11 Oct 2016 | |

83 | Why should anyone care about computing with anyons? | In this talk Jiannis Pachos discusses a variety of different topics starting from characterizing knot invariants, their quantum simulation with exotic particles called anyons and finally the possible realization of anyons in the laboratory. | Jiannis Pachos | 11 Oct 2016 | |

84 | Quantum Geometry, Exclusion Statistics, and the Geometry of "Flux Attachment" in 2D Landau levels | Duncan Haldane talks about Quantum Geometry, Exclusion Statistics, and the Geometry of "Flux Attachment" in 2D Landau levels. | Duncan Haldane | 11 Oct 2016 | |

85 | Exchange symmetry and anyon virial coefficients | This talk mentions some aspects of the theory of identical particles, for example, treating neutrons and protons as identical particles distinguished by a quantum number called isotopic spin. | Jan Myrheim | 11 Oct 2016 | |

86 | Exchange statistics - Basic concepts | In this talk Jon Magne Leinaas from University of Oslo reviews some of the basic ideas and questions related to the exchange symmetry of identical particles. | Jon Magne Leinaas | 11 Oct 2016 | |

87 | Dark Matter(s) Discussion | Celine Boehm, Rocky Kolb, and Justin Read discuss fine-tuning in dark matter models, how we judge astrophysical parameters to be fine-tuned, how we get evidence for dark matter, supersymmetry, and our prospects for finding the dark matter particle. | Celine Boehm, Rocky Kolb, Justin Read | 04 Oct 2016 | |

88 | The Level of Fine-Tuning it Takes to Make a Dark Matter Model | Dr. Celine Boehm (Durham) discusses the possible dark matter particles and the constraints--theoretical and experimental--on their parameter space. | Celine Boehm | 04 Oct 2016 | |

89 | The Decade of the Wimp | Dr. Rocky Kolb (Chicago) discusses the theoretical reasons to expect dark matter to be a Weakly Interacting Massive Particle (WIMP), and the prospects for finding one. | Rocky Kolb | 04 Oct 2016 | |

90 | Astrophysical Probes of Dark Matter | Dr. Justin Read (Surrey) explains the astrophysical evidence for dark matter, and our prospects for getting more information about its nature and interaction by looking at nearby dwarf galaxies. | Justin Read | 04 Oct 2016 | |

91 | Creative Commons | Optimization (3.3) | In this lecture, Professor Trefethen discusses NEOS and COIN-OR, constraints and linear programming, and quadratic programming and linear constraints. | Nick Trefethen | 03 Oct 2016 |

92 | Creative Commons | Optimization (3.2) | In this lecture, Professor Trefethen discusses Newton's methods for minimizing a function of several variables. He then moves on from Newton's method to practical optimization. | Nick Trefethen | 03 Oct 2016 |

93 | Creative Commons | Optimization (3.1) | In this lecture, Professor Trefethen discusses Newton's methods for 1) a single equation, 2) a system of equations, and 3) minimizing a function of 1 variable. | Nick Trefethen | 03 Oct 2016 |

94 | Creative Commons | Dense Linear Algebra (2.5) | In this lecture, Professor Trefethen provides a demonstration of Chebfun. | Nick Trefethen | 03 Oct 2016 |

95 | Creative Commons | Dense Linear Algebra (2.4) | In this lecture, Professor Trefethen discusses matrix factorizations and SVD. | Nick Trefethen | 03 Oct 2016 |

96 | Creative Commons | Dense Linear Algebra (2.3) | In this lecture, Professor Trefethen discusses floating point arithmetic and backward error analysis. | Nick Trefethen | 03 Oct 2016 |

97 | Creative Commons | Dense Linear Algebra (2.2) | In this lecture, Professor Trefethen discusses QR factorization, the computation of the QR factorization, and linear least-squares. | Nick Trefethen | 03 Oct 2016 |

98 | Creative Commons | Dense Linear Algebra (2.1) | In this lecture, Professor Trefethen discusses matrices, vectors and expansions, including orthogonal vectors and matrices. | Nick Trefethen | 03 Oct 2016 |

99 | Creative Commons | Sparse Matrices and Iterative Methods (1.4) | In this lecture, Professor Trefethon provides a definition of numerical analysis and provides an overview of matrix iterations, including a discussion on the Lanczos iteration. He also reviews various numerical software tools and information sources. | Nick Trefethen | 03 Oct 2016 |

100 | Creative Commons | Sparse Matrices and Iterative Methods (1.3) | In this lecture, Professor Trefethen discusses preconditioned CG and also provides examples of preconditioners | Nick Trefethen | 03 Oct 2016 |

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