# Courses tagged with "Calculus I" (279)

This physics course covers the physical principles of major in vivo bio-imaging modalities.

This course will focus on magnetic resonance imaging, also known as an MRI. In the first part of the course, the dynamic of spins in a magnetic field is described, leading to the essential notions of magnetic resonance (MR), excitation and relaxation. We will also discuss the basic mechanisms of image reconstruction, MR spectroscopy and functional MRI.

You will learn how existing physical principles transcend into bio-imaging and establish an important link into life sciences, illustrating the contributions physics can make to life sciences. Practical examples will be shown to illustrate the respective imaging modality, its use, premise and limitations, and biological safety will be touched upon.

During this course, you will develop a good understanding of the mechanisms leading to tissue contrast of the bio-imaging modalities covered in this course, including the inner workings of the scanner and how they define the range of possible biomedical applications. You will be able to judge which imaging modality is adequate for specific life science needs and to understand the limits and promises of each modality.

This physics course covers the physical principles of major in vivo bio-imaging modalities and the different imaging techniques.

After a short study of ultrasound imaging, you will learn about the different X-ray imaging techniques. The understanding of the interaction of X-rays with tissue will lead to the study of three different techniques:

- Computed Tomography (CT)
- Emission Tomography
- Positron Emission Tomography (PET)

This course shows how existing physical principles transcend into bio-imaging and establish an important link into life sciences, illustrating the contributions physics can make to life sciences. Practical examples will be shown to illustrate the respective imaging modality, its use, premise and limitations, and biological safety will be touched upon.

During this course, you will develop a good understanding of the mechanisms leading to tissue contrast of the bio-imaging modalities covered in this course, including the inner workings of the scanner and how they define the range of possible biomedical applications. You will be able to judge which imaging modality is adequate for specific life science needs and to understand the limits and promises of each modality.

To learn more about biomedical imaging, join us in the second part of this course Biomedical Imaging: Magnetic Resonance Imaging (MRI).

This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.

En este curso se investigan las causas y se definen las leyes de la interacción electromagnética. Esta interacción es una de las más importantes que caracterizan nuestra vida diaria, ya que muchos de los fenómenos que se observan a nuestro alrededor, incluidos los químicos y biológicos, son debidos a la interacción electromagnética entre átomos y moléculas. Este curso se centra en analizar el origen de esta interacción y describir las leyes físicas que la gobiernan.

Se aborda el estudio del universo físico analizando objetos en movimiento. Se definen y analizan todas las magnitudes y leyes físicas que permiten describir geométrica y causalmente el movimiento de cuerpos representados por un punto.

Trataremos:

- Magnitudes físicas y álgebra vectorial
- Fundamentos de cinemática del punto
- Tipos de movimiento
- Dinámica del punto
- Trabajo y potencia
- Energía mecánica

While the advances in genomics promise to usher a new era in medical practice and create a major paradigm shift in patient care, the ethical, legal and social impact of genomic medicine will be equally significant. The information and potential use of genomic discoveries are no longer issues left for scientists and medical professionals to handle, but have become ones for the public at large. Rarely a day passes without a genomics-related story reported in the media. By the end of this course, students will be able to better understand the field of genomics; be familiar with various online databases and resources; and understand and appreciate the medical, social, ethical, and legal issues associated with the availability of personal genomic information.

Given the diversity of the topics and the specific expertise required to cover each, this is a unique cross-disciplinary course where faculty from different disciplines including genetics, computational sciences, bioinformatics, genetic counseling, bioethics, law, and business will participate in lecturing. We have assembled a team of experts from various departments at Georgetown University and other institutions, to teach this comprehensive online genomics course.

For a detailed description of the weekly topics, see the course outline.

Global Warming Science teaches you about the risks and uncertainties of future climate change by examining the science behind the earth’s climate. You will be able to answer such questions as, “What is the Greenhouse Effect?” and “How and why has earth’s climate changed through geologic history?”

This science course is designed for college sophomores and juniors with some preparation in college-level calculus and physics.

This class describes the science of global warming and the forecast for humans’ impact on Earth’s climate. Intended for an audience without much scientific background but a healthy sense of curiosity, the class brings together insights and perspectives from physics, chemistry, biology, earth and atmospheric sciences, and even some economics—all based on a foundation of simple mathematics (algebra).

Gain a foundational understanding of the world of 2-dimensional materials, including Graphene. This course provides an overview of this exciting new field of study, starting with the concept of what a 2-dimensional material is, how they are produced, their unique and superlative properties, and the range of potential applications.

Graphene is the world’s first 2-dimensional material and is the thinnest, strongest, and most flexible material known to exist. Graphene, a special form of carbon,,can conduct electricity and heat better than anything else. In this electronics course, we will introduce you to the exciting world of graphene science and technology. You will learn about the fundamentals of graphene and how this material offers new insights into nanotechnology and quantum physics. You will also learn about emerging practical applications for graphene. Topics covered include material properties, electronics, physics, physical chemistry, synthesis and device fabrication and application.

Graphene offers a wealth of potential future applications; in composites, solar cells, sensors, superchargers, etc. The list is endless. This course takes a closer look at the particular potential graphene offers within electronics, e.g. optoelectronic devices using graphene produced via chemical vapor deposition (CVD), an industrially compatible technique.

This course content was developed at Chalmers University of Technology who is the coordinator of the Graphene Flagship, EUs biggest research initiative ever. At the Chalmers Graphene Centre research and industry cooperate in the field to achieve interplay and synergies.

In order to benefit fully from this course you should have an adequate knowledge of general physics and university level mathematics.

Despite spectacular recent progress, there is still a lot we don't know about our universe. We don't know why the Big Bang happened. We don't know what most of the universe is made of. We don't know whether there is life in space. We don't know how planets form, how black holes get so big, or where the first stars have gone. This course will take you through nine of the greatest unsolved problems of modern astrophysics. We can't promise you the answers, but we will explain what we do and don't know, and give you an up-to-date understanding of current research. This course is designed for people who would like to get a deeper understanding of these mysteries than that offered by popular science articles and shows.

This is the first of four ANUx courses which together make up the Australian National University's first year astrophysics program. It is followed by courses on exoplanets, on the violent universe, and on cosmology. These courses compromise the Astrophysics XSeries. Learn more about the XSeries program and register for all the courses in the series today!

WHAT IS “HOW STUFF MOVES”?

Mechanics is the study of how things move. It was the first quantitative science to achieve wide power to predict behavior, including things never before directly observed. Newton, Leibniz, and others invented calculus to describe motion and we will find both differential and integral calculus extremely useful throughout this course.

This is the first in a 3-part series of courses that parallels the second-semester mechanics course taught at Harvey Mudd College. Part 1 explores the concepts of momentum, force, and energy, and how these properties define the motion of objects at everyday speeds. Part 2 examines angular motion, and Part 3 examines wave motion. This course is an invitation to develop your problem-solving skills and to learn how to apply mathematics to all sorts of problems of the physical world. Learning the rules that govern how stuff moves in the world around us is *exciting*; using those rules to predict *correctly *something that you haven’t observed means that you really understand something. It‘s a great feeling.

WHAT SHOULD I KNOW BEFORE WE START?

You need not have taken physics before, but we assume that you have studied mathematics, up to and including a first course in calculus. You may be taking a calculus course concurrently with this course; that should be a good strategy. We will introduce important calculus ideas and methods as the need arises and provide examples.

There is a Mathematics Diagnostic Test that you can take at the beginning of this course to ensure that your mathematics background will set you up for success in this course.

WHAT IS “HOW STUFF MOVES”?

Mechanics is the study of how things move. It was the first quantitative science to achieve wide power to predict behavior, including things never before directly observed. Newton, Leibniz, and others invented calculus to describe motion and we will find both differential and integral calculus extremely useful throughout this course.

This is the second in a 3-part series of courses that parallels the second-semester mechanics course taught at Harvey Mudd College. Part 2 expands on Part 1 by considering the rotation of objects, connecting new concepts of angular momentum and torque to the properties of linear motion. Part 1 examined linear motion, and Part 3 examines wave motion. This course is an invitation to develop your problem-solving skills and to learn how to apply mathematics to all sorts of problems of the physical world. Learning the rules that govern how stuff moves in the world around us is *exciting*; using those rules to predict *correctly *something that you haven’t observed means that you really understand something. It‘s a great feeling.

WHAT SHOULD I KNOW BEFORE WE START?

You need not have taken physics before, but we assume that you have studied mathematics, up to and including a first course in calculus. You may be taking a calculus course concurrently with this course; that should be a good strategy. We will introduce important calculus ideas and methods as the need arises and provide examples.

There is a Mathematics Diagnostic Test that you can take at the beginning of Part 1 of this series to ensure that your mathematics background will set you up for success in this course.

WHAT IS “HOW STUFF MOVES”?

Mechanics is the study of how things move. It was the first quantitative science to achieve wide power to predict behavior, including things never before directly observed. Newton, Leibniz, and others invented calculus to describe motion and we will find both differential and integral calculus extremely useful throughout this course.

This is the third in a 3-part series of courses that parallels the second-semester mechanics course taught at Harvey Mudd College. Part 3 focuses on the movement of oscillating systems and the propagation of waves (sound, seismic, or surface-water). Part 1 examined linear motion, and Part 2 examined angular motion. This course is an invitation to develop your problem-solving skills and to learn how to apply mathematics to all sorts of problems of the physical world. Learning the rules that govern how stuff moves in the world around us is *exciting*; using those rules to predict *correctly *something that you haven’t observed means that you really understand something. It‘s a great feeling.

WHAT SHOULD I KNOW BEFORE WE START?

You need not have taken physics before, but we assume that you have studied mathematics, up to and including a first course in calculus. You may be taking a calculus course concurrently with this course; that should be a good strategy. We will introduce important calculus ideas and methods as the need arises and provide examples.

There is a Mathematics Diagnostic Test that you can take at the beginning of Part 1 of this series to ensure that your mathematics background will set you up for success in this course.

A flow is called hypersonic if the Mach number is greater than 5. This means that the flow speed is more than five times the speed of sound. In air at room temperature, the speed of sound is around 340 m/s, so a Mach 5 flow would have a flow speed of 1.7 km/s or just over 6,000 km/h. When a rocket launches a satellite into earth orbit, when a probe enters the atmosphere of another planet or when an aircraft is propelled by a supersonic combustion ramjet engine (a scramjet), hypersonic flows are encountered. Hypersonics – from Shock Waves to Scramjets introduces the basic concepts associated with flight at speeds greater than Mach 5 and takes students to the stage where they can analyse the performance of a scramjet engine that might be used in a future access-to-space system.

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