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Information Theory
by Prof. Raymond W. Yeung- 4.7
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Approx. 33 hours to complete
The lectures of this course are based on the first 11 chapters of Prof. Raymond Yeung’s textbook entitled Information Theory and Network Coding (Springer 2008). At the completion of this course, the student should be able to: 1) Demonstrate knowledge and understanding of the fundamentals of information theory. 3) Develop deeper understanding of communication systems....
Calculus through Data & Modeling: Limits & Derivatives
by Joseph W. Cutrone, PhDTop Instructor- 4.8
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Approx. 10 hours to complete
This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. This fundamental notion will be applied through the modelling and analysis of data. The Limit of a Function...
Calculus through Data & Modeling: Applying Differentiation
by Joseph W. Cutrone, PhD- 0.0
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Approx. 7 hours to complete
As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult to evaluate. Linear Approximations and Tangent Planes...
Introduction to Mathematical Thinking
by Dr. Keith DevlinTop Instructor- 4.8
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Approx. 39 hours to complete
Learn how to think the way mathematicians do – a powerful cognitive process developed over thousands of years. Mathematical thinking is not the same as doing mathematics – at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems....
Differential Equations for Engineers
by Jeffrey R. Chasnov- 4.9
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Approx. 27 hours to complete
This course is about differential equations and covers material that all engineers should know. Both basic theory and applications are taught. In the first five weeks we will learn about ordinary differential equations, and in the final week, partial differential equations. The course is composed of 56 short lecture videos, with a few simple problems to solve following each lecture....
Matrix Algebra for Engineers
by Jeffrey R. Chasnov- 4.8
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Approx. 20 hours to complete
This course is all about matrices, and concisely covers the linear algebra that an engineer should know. The mathematics in this course is presented at the level of an advanced high school student, but typically students should take this course after completing a university-level single variable calculus course. And after each substantial topic, there is a short practice quiz....
Single Variable Calculus
by Robert Ghrist- 4.6
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Approx. 14 hours to complete
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences....
Vector Calculus for Engineers
by Jeffrey R. Chasnov- 4.8
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Approx. 28 hours to complete
Vector Calculus for Engineers covers both basic theory and applications. In the first week we learn about scalar and vector fields, in the second week about differentiating fields, in the third week about multidimensional integration and curvilinear coordinate systems. These theorems are needed in core engineering subjects such as Electromagnetism and Fluid Mechanics....
Introduction to Ordinary Differential Equations
by Kwon, Kil Hyun- 4.7
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Approx. 15 hours to complete
In this introductory course on Ordinary Differential Equations, we first provide basic terminologies on the theory of differential equations and then proceed to methods of solving various types of ordinary differential equations. We handle first order differential equations and then second order linear differential equations. The lecture is self contained. However, if necessary, you may consult any introductory level text...
Fibonacci Numbers and the Golden Ratio
by Jeffrey R. Chasnov- 4.8
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Approx. 10 hours to complete
Learn the mathematics behind the Fibonacci numbers, the golden ratio, and how they are related. These topics are not usually taught in a typical math curriculum, yet contain many fascinating results that are still accessible to an advanced high school student. Download the lecture notes: https://www. math. ust. hk/~machas/fibonacci. pdf Watch the promotional video:...
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