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Numerical methods are techniques to approximate mathematical procedures (e.g., integrals). Approximations are needed because we either cannot solve the procedure analytically (e.g., the standard normal cumulative distribution function) or because the analytical method is intractable (e.g., solving a set of a thousand simultaneous linear equations for a thousand unknowns). By end of this course, participants will be able to apply the numerical methods for the following mathematical procedures and topics: differentiation, nonlinear equations, and simultaneous linear equations, interpolation, regression, integration, and ordinary differential equations. Additionally, they will be able to calculate errors and implement their relationship to the accuracy of the numerical solutions. To be prepared for this course, students should have a passing grade in introductory physics, integral calculus, differential calculus, and ordinary differential equations.
- Course related:
- BSE3302 Computer Methods in Building Services Engineering
- Subjects:
- Mathematics and Statistics
- Keywords:
- Numerical analysis Numerical calculations
- Resource Type:
- Others
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Video
How MRI Works: Part 1 - NMR Basics. First in a series on how MRI works. This video deals with NMR basis such as spin, precession, T1 and T2, TR and TE, and Boltzmann Magnetization. 0:00 - Introduction 1:22 - Nuclear Magnetic Resonance 4:10 - Inside the MRI Scanner 7:50 - The Proton, Spin, and Precession 11:34 - Signal Detection and the Larmor Equation 14:10 - Flip Angle 15:30 - Ensemble Magnetic Moment 16:34 - Free Induction Decay and T2 18:43 - T2 Weighting and TE 21:46 - Spin Density Imaging 24:18 - T1 Relaxation 25:45 - T1 Weighting and TR 27:01 - The NMR Experiment and Rotating Frame 28:57 - Excitation: the B1 field 30:14 - Measuring Longitudinal Magnetization 31:34 - The MR Contrast Equation 34:42 - Boltzmann Magnetization and Polarization 40:09 - Hyperpolarization 41:42 - Outro
- Course related:
- BME42113 Biomedical Imaging
- Subjects:
- Medical Imaging and Physics
- Keywords:
- Magnetic resonance imaging
- Resource Type:
- Video
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Others
Physics is the study of matter, motion, energy, and force. Here, you can browse videos, articles, and exercises by topic. We keep the library up-to-date, so you may find new or improved material here over time.
- Course related:
- AP10001 Introduction to Physics
- Subjects:
- Physics
- Keywords:
- Physics
- Resource Type:
- Others
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Others
Welcome to the BioNinja Website – your one-stop resource for everything IB Biology related! This website is designed specifically for the new IB Biology syllabus (2016 –) This site is still under development, so new features will be periodically added This site was optimised for Safari – certain features may not work on other browsers For access to the old website (2009 – 2015 syllabus), click here
- Course related:
- ABCT1102 General Biology
- Subjects:
- Biology
- Keywords:
- Biology
- Resource Type:
- Others
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Video
Masterpieces of microengineering, kinesins are motorized transport machines that move cellular materials to their correct locations in the cell so they can perform their functions. Kinesins have two feet, or "globular heads," that literally walk, one foot over another. Known as the "workhorses of the cell," kinesins can carry cargo many times their own size.
- Course related:
- ABCT2103 Cell Biology
- Subjects:
- Biology
- Keywords:
- Kinesin
- Resource Type:
- Video
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Video
We are two sisters on a mission to demystify science with humor and relevance by creating videos, GIFs, comics, and resources. Our content is focused on high school biology (Pinky is a former high school biology teacher), though we do receive comments that some of our content is useful for intro biology courses at the college level as well. We're for anyone wanting to learn biology! We frequently remind viewers that we cannot include all of the fascinating exceptions and details in a video under 10 minutes. We like to create memorable visuals to the content, but they're not scientific illustrations. Meaning, nitrogen and carbon don't tap dance. Our illustrated cell and molecule cartoons are definitely not to scale. DNA is usually a right-handed double helix (well...there are exceptions) and it doesn't have eyes...a face...or a top hat...
- Subjects:
- Health Sciences and Biology
- Keywords:
- Biology
- Resource Type:
- Video
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Video
COMSOL Multiphysics ®是一款通用的工程模擬軟體平臺，其核心產品可單獨運行，也可與任意組合的附加模組結合使用，以模擬電磁、結構力學、聲學、流體、熱傳、化工等各領域的產品設計和過程。 各附加模組和LiveLink™產品可以無縫地整合到軟體環境中去，這意味著無論您從事哪一領域的建模工作，都可以遵循同樣的建模流程。 根據您的模擬需求，擴展產品可自由組合使用。
- Course related:
- EE4006 Individual Project
- Subjects:
- Physics
- Keywords:
- Engineering -- Data processing Physics -- Computer simulation Engineering -- Computer simulation COMSOL Multiphysics Physics -- Data processing
- Resource Type:
- Video
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Video
This video playlist covers the topic of: 1. PDE 1 | Introduction 2.PDE 2 | Three fundamental examples 3.PDE 3 | Transport equation: derivation 4.PDE 4 | Transport equation: general solution 5. PDE 5 | Method of characteristics 6. PDE 6 | Transport with decay and nonlinear transport 7.PDE 7 | Wave equation: intuition 8.PDE 8 | Wave equation: derivation 9.PDE 9 | Wave equation: general solution 10.PDE 10 | Wave equation: d'Alembert's formula 11.PDE 11 | Wave equation: d'Alembert examples 12.PDE 12 | Wave equation: characteristics 13.PDE 13 | Wave equation: separation of variables 14.FA 1 | Fourier series introduction 15.FA 2 | Computing Fourier series 16.PDE | Heat equation: intuition 17.PDE | Finite differences: introduction
- Course related:
- AMA3723 Further Mathematical Methods for Finance
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Partial
- Resource Type:
- Video
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Video
Between you and the rest of the world lies an interface that makes up 16% of your physical weight. This is your skin, the largest organ in your body: laid out flat, it would cover close to 1.7 square metres of ground. But besides keeping your organs in, what is its purpose? Emma Bryce takes us into the integumentary system to find out. Lesson by Emma Bryce, animation by Augenblick Studios.
- Course related:
- BME1D04 Subject Title Skin-Care Technologies: Principles, Applications and Safety
- Subjects:
- Health Sciences and Human Biology
- Keywords:
- Body covering (Anatomy) Skin
- Resource Type:
- Video
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Video
Planet Earth is this solid thing you are standing on right now. In your everyday life you don't really waste a thought about how amazing this is. A giant, ancient, hot rock. How did it come into existence and how big is it really? You will be surprised. The ground you are standing on is just a very, very small part of the big picture.
- Course related:
- LSGI1D03 Living on a Dynamic Earth
- Subjects:
- Environmental Sciences
- Keywords:
- Earth sciences
- Resource Type:
- Video