7. Linear Dynamical Systems Lecture 7
science, electrical, engineering, technology, linear, dynamical, system, Gauss, Newton, method, least, squares, recursive, rank, one, update, formula
6. Linear Dynamical Systems Lecture 6
science, electrical, engineering, technology, linear, dynamical, system, least, squares, application, Moore-Penrose, QR, factorization, BLUE, Vandermonde, matrix
5. Linear Dynamical Systems Lecture 5
science, electrical, engineering, technology, linear, dynamical, system, QR, factorization, decomposition, Gram-Schmidt, orthogonal, nullspace, equation, research
4. Linear Dynamical Systems Lecture 4
science, electrical, engineering, technology, linear, dynamical, system, orthonormal, vector, matrix, dual, basis, Cauchy-Schwartz, inequality, research
3. Linear Dynamical Systems Lecture 3
science, electrical, engineering, technology, linear, dynamical, system, algebra, control, design, gram, matrix, vector, space, differentiation, research
2. Linear Dynamical Systems Lecture 2
science, electrical, engineering, technology, linear, dynamical, system, vector, matrix, Fourier, transform, gain, factor, signal, circuit, function, research
1. Linear Dynamical Systems Lecture 1
science, electrical, engineering, technology, linear, dynamical, system, circuits, algebra, signal, processing, inputs, outputs, research
008 The Harmonic Oscillator and the Wavefunctions of its Stationary States
Eighth lecture of the Quantum Mechanics course given in Michaelmas Term 2009
007 Back to Two-Slit Interference, Generalization to Three Dimensions and the Virial Theorem
Seventh Lecture of the Quantum Mechanics course given in Michaelmas Term 2009
Numeracy Basics - interactive quiz
Comprehensive quiz covering the full range of numeracy (mathematics) basics including multiplication, rounding, division, order of execution, maths conventions, series, surveys, summation and so on. Offers randomised questions, multiple attempts, instant feedback.
Uniform convergence and pointwise convergence
The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences. The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a uniform
How and why we do mathematical proofs
This is a module framework. It can be viewed online or downloaded as a zip file. As taught in Autumn Semester 2009/10 The aim of this short unit is to motivate students to understand why we might want to do proofs (why proofs are important and how they can help us) and to help students with some of the relatively routine aspects of doing proofs. In particular, the student will learn the following: * proofs can help you to really see why a result is true; * problems that are easy to state can be
Algebra for quantity surveying students
This is the beginning of a handout suitable for motivating quantity surveying students to study algebra as RICS appears to wants them to do. It is very much work in progress so expansion, correcting and improvement would be most welcome. There is more about this in my FETLAR blog at http://stack.bham.ac.uk/blog/index.php?userid=385&courseid=14 (login needed); I will repeat this blog entry in the JORUM Community Bay some time soon.
Algebra for quantity surveying students
This is the beginning of a handout suitable for motivating quantity surveying students to study algebra as RICS appears to wants them to do. It is very much work in progress so expansion, correcting and improvement would be most welcome. There is more about this in my FETLAR blog at http://stack.bham.ac.uk/blog/index.php?userid=385&courseid=14 (login needed); I will repeat this blog entry in the JORUM Community Bay some time soon.
Mathematics for Chemistry Workbook
A workbook for chemists on the underlying mathematics needed to study chemistry at beginning undergraduate level. Videos of worked solutions to many of the problems in this workbook can be also found in JORUM
Applied Mathematics - Dynamics These resources are a selection of audio and video podcasts from a first year Dynamics class (MAM1044H) at th Tensors and Relativity Course COURSE OUTLINE General Physics Tensors and Relativity Course COURSE OUTLINE General Physics 18.950 Differential Geometry (MIT) 18.440 Probability and Random Variables (MIT)
1. Mathematical Tools
2.
1. Mathematical Tools
2.
This course is an introduction to differential geometry. Metrics, Lie bracket, connections, geodesics, tensors, intrinsic and extrinsic curvature are studied on abstractly defined manifolds using coordinate charts. Curves and surfaces in three dimensions are studied as important special cases. Gauss-Bonnet theorem for surfaces and selected introductory topics in special and general relativity are also analyzed. From the course home page: Course Description This course is an introduction to dif
This course introduces students to probability and random variable. Topics include distribution functions, binomial, geometric, hypergeometric, and Poisson distributions. The other topics covered are uniform, exponential, normal, gamma and beta distributions; conditional probability; Bayes theorem; joint distributions; Chebyshev inequality; law of large numbers; and central limit theorem.
