# Online courses directory (258)

ALISON.com's free online Diploma in Mathematics course gives you comprehensive knowledge and understanding of key subjects in mathematics. This course covers calculus, geometry, algebra, trigonometry, functions, vectors, data distributions, probability and probability and statistics. Math qualifications are in great demand from employers and this math course will greatly enhance your career prospects.<br />

In this interactive pre-Calculus course, you will deepen and extend your knowledge of functions, graphs, and equations from high school algebra and geometry courses so you can successfully work with the concepts in a rigorous university-level calculus course. This course is designed to engage learners in the “doing” of mathematics, emphasizing conceptual understanding of mathematical definitions and student development of logical arguments in support of solutions. The course places major emphasis on why the mathematics topics covered work within the discipline, as opposed to simply the mechanics of the mathematics.

Technological innovations have revolutionized the way we view and interact with the world around us. Editing a photo, re-mixing a song, automatically measuring and adjusting chemical concentrations in a tank: each of these tasks requires real-world data to be captured by a computer and then manipulated digitally to extract the salient information. Ever wonder how signals from the physical world are sampled, stored, and processed without losing the information required to make predictions and extract meaning from the data?

Students will find out in this rigorous mathematical introduction to the engineering field of signal processing: the study of signals and systems that extract information from the world around us. This course will teach students to analyze discrete-time signals and systems in both the time and frequency domains. Students will learn convolution, discrete Fourier transforms, the z-transform, and digital filtering. Students will apply these concepts in interactive MATLAB programming exercises (all done in browser, no download required).

Part 1 of this course analyzes signals and systems in the time domain. Part 2 covers frequency domain analysis.

Prerequisites include strong problem solving skills, the ability to understand mathematical representations of physical systems, and advanced mathematical background (one-dimensional integration, matrices, vectors, basic linear algebra, imaginary numbers, and sum and series notation). Part 1 is a prerequisite for Part 2. This course is an excerpt from an advanced undergraduate class at Rice University taught to all electrical and computer engineering majors.

Technological innovations have revolutionized the way we view and interact with the world around us. Editing a photo, re-mixing a song, automatically measuring and adjusting chemical concentrations in a tank: each of these tasks requires real-world data to be captured by a computer and then manipulated digitally to extract the salient information. Ever wonder how signals from the physical world are sampled, stored, and processed without losing the information required to make predictions and extract meaning from the data?

Students will find out in this rigorous mathematical introduction to the engineering field of signal processing: the study of signals and systems that extract information from the world around us. This course will teach students to analyze discrete-time signals and systems in both the time and frequency domains. Students will learn convolution, discrete Fourier transforms, the z-transform, and digital filtering. Students will apply these concepts in interactive MATLAB programming exercises (all done in browser, no download required).

Part 1 of this course analyzes signals and systems in the time domain. Part 2 covers frequency domain analysis.

Prerequisites include strong problem solving skills, the ability to understand mathematical representations of physical systems, and advanced mathematical background (one-dimensional integration, matrices, vectors, basic linear algebra, imaginary numbers, and sum and series notation). Part 1 is a prerequisite for Part 2. This course is an excerpt from an advanced undergraduate class at Rice University taught to all electrical and computer engineering majors.

Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems.

EE40LX teaches the fundamentals of engineering electronic interfaces between the physical world and digital devices. Students can expect to cover the material of a traditional first circuits course with a project-based approach. We start with essential theory and develop an understanding of the building blocks of electronics as we analyze, design, and build different parts of a robot from scratch around a microcontroller. This course uses the Texas Instruments MSP430G2 LaunchPad, but you are welcome to bring whichever development board or microcontroller you like!

Useful mathematics will be discussed where appropriate, but only a working knowledge of high school algebra is required to follow along for most of the course. The philosophy of the course is to learn by doing, so every lecture features a substantial lab component. Students are invited to work together in small groups to build their own robots along with the instructors. There will also be individual circuit analysis and design exercises to reinforce the theories presented in the course. Those who successfully complete each theory assignment and earn a passing grade will get an Honor Code certificate from BerkeleyX.

Additionally, a kit of electronic components will be available from Newark element14 starting June 12. The kit is not necessary to obtain a certificate for this run of the course, but it will greatly enhance your learning experience. Some mechanical components are required to complete the robot as presented in the course. Also, the lab experience will be most effective if you have access to a digital multimeter.

Creativity is encouraged! Students who are willing to work outside the bounds of the class to develop their own inventions will get the most out of this guided learning experience.

**MyDAQ Information**

Those who do not have access to an oscilloscope or a digital multimeter might consider purchasing a MyDAQ to enable measurements. The video modules use the MyDAQ and the MyProtoBoard as measurement equipment to debug circuits. National Instruments has made available the MyDAQ for students in this course. If you are interested, take a look at the MyDAQ ordering page: http://www.studica.com/us/en/BerkeleyMOOC.html

**Parts Kit Information**

The parts included in the construction of the robot can be purchased at Newark's landing page, which can be found here: http://www.element14.com/community/community/learning-center/online-learning/moocs/edxucb-bridging

A detailed bill of materials with more information can be found here: courses.edx.org/asset-v1:BerkeleyX+EE40LX+2T2015+type@asset+block@EE40LX_PartsList_Summer15.pdf

**What is the format of the class?**

The class consists of eight modules. Every module consists of a combination of theory-based lectures and lab-based discussions where we apply that module’s theory to building a part of a robot. Quiz exercises are sprinkled throughout the videos to reinforce your knowledge and every module ends with a problem set that reinforces the design and analysis aspects of the class.

**Is this class taught at UC Berkeley?**

This class is part of the laboratory component of "EE40: Introduction to Microelectronic Systems," the first circuit analysis course at UC Berkeley. It was specifically designed for the online course format.

**What will the robot do?**

The bare-bones robot that we build will be capable of bouncing around, responding to light or touch inputs, and responding to a loud audio signal.

**What supplies and equipment will I need to get the most out of this course?**

In order to download programs to the MSP430 microcontroller, you will need access to a modern operating system (Apple, Windows, or Linux) with the Energia environment (http://energia.nu/download) installed. Additionally, access to some wire cutters and pliers would be useful. Also, the lab experience will be most effective if you have access to a digital multimeter. An oscilloscope would be useful, but not necessary.

The NI MyDAQ has been made available for students who would like to follow along with the course. The robot project as presented also requires a few wooden craft sticks and two springs which can be found at a local hardware store.

**How much does the kit cost?**

The parts kit will cost around $50 USD for most parts. You are welcome to purchase a kit with another student and to work together on labs to split costs. We will also demonstrate other parts not in the kit for those interested in extending their projects.

**Will I need to know how to program?**

Sample programs are provided in each module that will allow you to test your own circuits with an MSP430 LaunchPad controller. These programs will be explained in optional videos for interested students. If you already know how to code, you can tweak these programs to add additional functionality to your project.

**Will this course cover microcontroller programming?**

No. Sample programs written in Energia, a high-level language, will be provided, but programming will not be explicitly covered. Students interested in learning microcontroller programming should refer to UT Austinx’s Embedded Systems course.

**What if I already have a microcontroller?**

Since analog electronics are the emphasis of the course, you should feel free to use any microcontroller you feel comfortable with. However, the use of any other microcontrollers would require you to write your own programs.

**Is there a required textbook?**

No textbook is required for this course. Handouts are provided for the concepts presented in the class; material for some of these handouts is taken from the 2nd edition of the book *Circuits* by Fawwaz Ulaby and Michel Maharbiz and we recommend the book as way to delve deeper into basic circuit concepts. We also occasionally provide links to web content that we find useful or informative.

Statics is the study of methods for quantifying the forces between bodies. Forces are responsible for maintaining balance and causing motion of bodies, or changes in their shape. You encounter a great number and variety of examples of forces every day, such as when you press a button, turn a doorknob, or run your hands through your hair. Motion and changes in shape are critical to the functionality of man-made objects as well as objects the nature. Statics is an essential prerequisite for many branches of engineering, such as mechanical, civil, aeronautical, and bioengineering, which address the various consequences of forces. This course contains many interactive elements, including: simulations; “walk-throughs” that integrate voice and graphics to explain a procedure or a difficult concept; and, most prominently, computer tutors in which students practice problem solving with hints and feedback. This course uses algebra and trigonometry and is suitable for use with either calculus- or non-calculus-based academic statics courses. Completion of a beginning physics course is helpful for success in statics, but not required. Many key physics concepts are included in this course.

Want to learn how to think clearly about important financial decisions and improve your financial literacy? Finance for Everyone will showcase the beauty and power of finance. This introductory finance course will be a gateway into the world of finance and will examine multiple applications to apply to your everyday life. Join us to better understand how to apply frameworks and tools to make smart financial choices.

You will be able to value the impact of different choices available to you: from renting or buying, evaluating car, home and student loans, or deciding whether to go to college versus pursuing a new idea to simply understanding how the financial world works.

Starting with time value of money, the course will help you develop a full appreciation for the many applications of finance. Using real world examples, the course will enable you to understand and analyze many personal and professional decisions we confront on a daily basis. You will understand stocks and bonds, learn to allocate scarce resources in a value-add way, and adopt smart tools for making every day decisions.

Finance is simultaneously a way of thinking and a set of tools. Finance is everywhere. There are no prerequisites for this course except for a sense of curiosity and a positive attitude. However, a comfort level with algebra and numbers and an understanding of accounting (the language of business) will clearly help. We will, however, try to cover everything starting with fundamentals and highlight when there is a need to do some further work in specific subjects.

This free diploma course provides students with the mathematical knowledge and skills needed to study Business or Commerce at third-level. The course consists of maths tutorial videos in which qualified maths teachers resolve problems in real-time. Furthermore, a comprehensive assessment tests students on all aspects of mathematics which are related to Business & Commerce. This course will appeal to third-level students who are lacking confidence in their mathematical knowledge and skills. This course will also appeal to students who are re-entering formal education after a significant absence. This diploma course will help to help to build students’ confidence in their mathematical ability and ensure that they are prepared for third-level study. The topics covered in this course are, Introduction to Mathematics, Algebra, Equations and Functions, Calculus, Probability and Statistics, Calculus, Matrices, Statistics and Introduction to Business Mathematics.<br />

This free diploma course provides students with the mathematical knowledge and skills needed to study a Science, Technology or Engineering discipline at third-level. The course consists of maths tutorial videos in which qualified maths teachers resolve problems in real-time. Furthermore, a comprehensive assessment tests students on all aspects of mathematics which are related to science, technology and engineering. This course will appeal to third-level students who are lacking confidence in their mathematical knowledge and skills. This course will also appeal to students who are re-entering formal education after a significant absence. This diploma course will help to build students’ confidence in their mathematical ability and ensure that they are prepared for third-level study. The topics covered in this course are, Introduction to Mathematics, Algebra, Equations and Functions, Calculus, Probability and Statistics, Calculus, Matrices, Trigonometry and Complex Numbers.<br />

The modern smartphone is enabled by a billion-plus nanotransistors, each having an active region that is barely a few hundred atoms long. Interestingly the same amazing technology has also led to a deeper understanding of the nature of current flow on an atomic scale and my aim is to make these lessons from nanoelectronics accessible to anyone in any branch of science or engineering. I will assume very little background beyond linear algebra and differential equations, although we will be discussing advanced concepts in non-equilibrium statistical mechanics that should be of interest even to specialists.

In the first half of this course (4 weeks) we will introduce a new perspective connecting the quantized conductance of short ballistic conductors to the familiar Ohm's law of long diffusive conductors, along with a brief description of the modern nanotransistor. In the second half (4 weeks) we will address fundamental conceptual issues related to the meaning of resistance on an atomic scale, the interconversion of electricity and heat, the second law of thermodynamics and the fuel value of information.

Overall I hope to show that the lessons of nanoelectronics lead naturally to a new viewpoint, one that changes even some basic concepts we all learn in freshman physics. This unique viewpoint not only clarifies many old questions but also provides a powerful approach to new questions at the frontier of modern nanoelectronics, such as how devices can be built to control the spin of electrons.

This course was originally offered in 2012 on nanoHUB-U and the accompanying text was subsequently published by World Scientific. I am preparing a second edition for publication in 2015, which will be used for this course. The manuscript will be made available to registered students.

__Sample comments:__

From Roald Hoffmann, http://en.wikipedia.org/wiki/Roald_Hoffmann

Cornell University

* "… the pedagogical imperative in research is very important to me, and so I really value a kindred spirit. Your (Datta's) online courses are just wonderful!"*

From anonymous student in previous offering.

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This course is the latest in a series offered by the nanoHUB-U project which is jointly funded by Purdue and NSF with the goal of transcending disciplines through short courses accessible to students in any branch of science or engineering. These courses focus on cutting-edge topics distilled into short lectures with quizzes and practice exams.

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

Build your earth science vocabulary and learn about cycles of matter and types of sedimentary rocks through the Education Portal course Earth Science 101: Earth Science. Our series of video lessons and accompanying self-assessment quizzes can help you boost your scientific knowledge ahead of the Excelsior Earth Science exam . This course was designed by experienced educators and examines both science basics, like experimental design and systems of measurement, and more advanced topics, such as analysis of rock deformation and theories of continental drift.

This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other. Angle basics. Measuring angles in degrees. Using a protractor. Measuring angles. Measuring angles. Acute right and obtuse angles. Angle types. Vertical, adjacent and linearly paired angles. Exploring angle pairs. Introduction to vertical angles. Vertical angles. Using algebra to find the measures of vertical angles. Vertical angles 2. Proof-Vertical Angles are Equal. Angles Formed by Parallel Lines and Transversals. Identifying Parallel and Perpendicular Lines. Figuring out angles between transversal and parallel lines. Congruent angles. Parallel lines 1. Using algebra to find measures of angles formed from transversal. Parallel lines 2. CA Geometry: Deducing Angle Measures. Proof - Sum of Measures of Angles in a Triangle are 180. Triangle Angle Example 1. Triangle Angle Example 2. Triangle Angle Example 3. Challenging Triangle Angle Problem. Proof - Corresponding Angle Equivalence Implies Parallel Lines. Finding more angles. Angles 1. Angles 2. Sum of Interior Angles of a Polygon. Angles of a polygon. Sum of the exterior angles of convex polygon. Introduction to angles (old). Angles (part 2). Angles (part 3). Angles formed between transversals and parallel lines. Angles of parallel lines 2. The Angle Game. Angle Game (part 2). Acute right and obtuse angles. Complementary and supplementary angles. Complementary and supplementary angles. Example using algebra to find measure of complementary angles. Example using algebra to find measure of supplementary angles. Angle addition postulate. Angle basics. Measuring angles in degrees. Using a protractor. Measuring angles. Measuring angles. Acute right and obtuse angles. Angle types. Vertical, adjacent and linearly paired angles. Exploring angle pairs. Introduction to vertical angles. Vertical angles. Using algebra to find the measures of vertical angles. Vertical angles 2. Proof-Vertical Angles are Equal. Angles Formed by Parallel Lines and Transversals. Identifying Parallel and Perpendicular Lines. Figuring out angles between transversal and parallel lines. Congruent angles. Parallel lines 1. Using algebra to find measures of angles formed from transversal. Parallel lines 2. CA Geometry: Deducing Angle Measures. Proof - Sum of Measures of Angles in a Triangle are 180. Triangle Angle Example 1. Triangle Angle Example 2. Triangle Angle Example 3. Challenging Triangle Angle Problem. Proof - Corresponding Angle Equivalence Implies Parallel Lines. Finding more angles. Angles 1. Angles 2. Sum of Interior Angles of a Polygon. Angles of a polygon. Sum of the exterior angles of convex polygon. Introduction to angles (old). Angles (part 2). Angles (part 3). Angles formed between transversals and parallel lines. Angles of parallel lines 2. The Angle Game. Angle Game (part 2). Acute right and obtuse angles. Complementary and supplementary angles. Complementary and supplementary angles. Example using algebra to find measure of complementary angles. Example using algebra to find measure of supplementary angles. Angle addition postulate.

A broad set of tutorials covering perimeter area and volume with and without algebra. Perimeter and Area Basics. Area and Perimeter. Perimeter of a Polygon. Perimeter of a shape. Perimeter 1. Finding dimensions given perimeter. Area 1. Finding dimensions given area. Perimeter and Area Basics. Triangle Area Proofs. Area of triangles. Interesting Perimeter and Area Problems. Area of Diagonal Generated Triangles of Rectangle are Equal. Area of an equilateral triangle. Area of shaded region made from equilateral triangles. Shaded areas. Challenging Perimeter Problem. Triangle inqequality theorem. Triangle inequality theorem. Koch Snowflake Fractal. Area of an equilateral triangle. Area of Koch Snowflake (part 1) - Advanced. Area of Koch Snowflake (part 2) - Advanced. Heron's Formula. Heron's formula. Part 1 of Proof of Heron's Formula. Part 2 of the Proof of Heron's Formula. Circles: Radius, Diameter and Circumference. Parts of a Circle. Radius diameter and circumference. Area of a Circle. Area of a circle. Quadrilateral Overview. Quadrilateral Properties. Area of a Parallelogram. Area of parallelograms. Area of a trapezoid. Area of a kite. Area of trapezoids, rhombi, and kites. Perimeter of a Polygon. Perimeter and Area of a Non-Standard Polygon. How we measure volume. Measuring volume with unit cubes. Volume with unit cubes. Measuring volume as area times length. Volume of a rectangular prism or box examples. Volume 1. Volume word problem example. Volume word problems. Solid Geometry Volume. Cylinder Volume and Surface Area. Volume of a Sphere. Solid geometry. Perimeter and Area Basics. Area and Perimeter. Perimeter of a Polygon. Perimeter of a shape. Perimeter 1. Finding dimensions given perimeter. Area 1. Finding dimensions given area. Perimeter and Area Basics. Triangle Area Proofs. Area of triangles. Interesting Perimeter and Area Problems. Area of Diagonal Generated Triangles of Rectangle are Equal. Area of an equilateral triangle. Area of shaded region made from equilateral triangles. Shaded areas. Challenging Perimeter Problem. Triangle inqequality theorem. Triangle inequality theorem. Koch Snowflake Fractal. Area of an equilateral triangle. Area of Koch Snowflake (part 1) - Advanced. Area of Koch Snowflake (part 2) - Advanced. Heron's Formula. Heron's formula. Part 1 of Proof of Heron's Formula. Part 2 of the Proof of Heron's Formula. Circles: Radius, Diameter and Circumference. Parts of a Circle. Radius diameter and circumference. Area of a Circle. Area of a circle. Quadrilateral Overview. Quadrilateral Properties. Area of a Parallelogram. Area of parallelograms. Area of a trapezoid. Area of a kite. Area of trapezoids, rhombi, and kites. Perimeter of a Polygon. Perimeter and Area of a Non-Standard Polygon. How we measure volume. Measuring volume with unit cubes. Volume with unit cubes. Measuring volume as area times length. Volume of a rectangular prism or box examples. Volume 1. Volume word problem example. Volume word problems. Solid Geometry Volume. Cylinder Volume and Surface Area. Volume of a Sphere. Solid geometry.

This topic introduces the basic conceptual tools that underpin our journey through Euclidean geometry. These include the ideas of points, lines, line segments, rays, and planes. Euclid as the Father of Geometry. Language and Notation of Basic Geometry. Lines, Line Segments, and Rays. Recognizing rays lines and line segments. Specifying planes in three dimensions. Points, lines, and planes. Language and Notation of the Circle. The Golden Ratio. Identifying Rays. Measuring segments. Measuring segments. Congruent segments. Congruent segments. Segment addition. Segment addition. Algebraic midpoint of a segment exercise. Midpoint of a segment. Euclid as the Father of Geometry. Language and Notation of Basic Geometry. Lines, Line Segments, and Rays. Recognizing rays lines and line segments. Specifying planes in three dimensions. Points, lines, and planes. Language and Notation of the Circle. The Golden Ratio. Identifying Rays. Measuring segments. Measuring segments. Congruent segments. Congruent segments. Segment addition. Segment addition. Algebraic midpoint of a segment exercise. Midpoint of a segment.

Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Basic understanding of Algebra I necessary. Interesting Perimeter and Area Problems. Challenging Perimeter Problem. CA Geometry: deductive reasoning. CA Geometry: Proof by Contradiction. CA Geometry: More Proofs. CA Geometry: Similar Triangles 1. CA Geometry: Similar Triangles 2. CA Geometry: More on congruent and similar triangles. CA Geometry: Triangles and Parallelograms. CA Geometry: Area, Pythagorean Theorem. CA Geometry: Area, Circumference, Volume. CA Geometry: Pythagorean Theorem, Area. CA Geometry: Exterior Angles. CA Geometry: Deducing Angle Measures. CA Geometry: Pythagorean Theorem, Compass Constructions. CA Geometry: Compass Construction. CA Geometry: Basic Trigonometry. CA Geometry: More Trig. CA Geometry: Circle Area Chords Tangent. CA Geometry: Secants and Translations. Interesting Perimeter and Area Problems. Challenging Perimeter Problem. CA Geometry: deductive reasoning. CA Geometry: Proof by Contradiction. CA Geometry: More Proofs. CA Geometry: Similar Triangles 1. CA Geometry: Similar Triangles 2. CA Geometry: More on congruent and similar triangles. CA Geometry: Triangles and Parallelograms. CA Geometry: Area, Pythagorean Theorem. CA Geometry: Area, Circumference, Volume. CA Geometry: Pythagorean Theorem, Area. CA Geometry: Exterior Angles. CA Geometry: Deducing Angle Measures. CA Geometry: Pythagorean Theorem, Compass Constructions. CA Geometry: Compass Construction. CA Geometry: Basic Trigonometry. CA Geometry: More Trig. CA Geometry: Circle Area Chords Tangent. CA Geometry: Secants and Translations.

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