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Learn Mathematics And Mathematical Modeling online: university courses, full YouTube courses, and courses with free certificates, from the IITs, MIT, Harvard, Google, Microsoft and more.
41 courses
The Hong Kong University of Science and Technology
Learn the mathematics behind the Fibonacci numbers, the golden ratio, and their relationship to each other. These topics may not be taught as part of a typical math curriculum, but they contain many fascinating results that are still accessible to an advanced high school student. The course culmina…
The Hong Kong University of Science and Technology
This course covers the most important numerical methods that an engineer should know, including root finding, matrix algebra, integration and interpolation, ordinary and partial differential equations. We learn how to use MATLAB to solve numerical problems, and access to MATLAB online and the MATLA…
Johns Hopkins University
In this course, we build on previously defined notions of the integral of a single-variable function over an interval. Now, we will extend our understanding of integrals to work with functions of more than one variable. First, we will learn how to integrate a real-valued multivariable function over…
University of California San Diego
Mathematical thinking is crucial in all areas of computer science: algorithms, bioinformatics, computer graphics, data science, machine learning, etc. In this course, we will learn the most important tools used in discrete mathematics: induction, recursion, logic, invariants, examples, optimality.…
Rice University
This first course serves as an introduction to the physics of force and motion. Upon completion, learners will understand how mathematical laws and conservation principles describe the motions and interactions of objects around us. Learners will gain experience in solving physics problems with tool…
Columbia University
This course will focus on capturing the evolution of interest rates and providing deep insight into credit derivatives. In the first module we discuss the term structure lattice models and cash account, and then analyze fixed income derivatives, such as Options, Futures, Caplets and Floorlets, Swap…
Columbia University
This course focuses on applications of optimization methods in portfolio construction and risk management. The first module discusses portfolio construction via Mean-Variance Analysis and Capital Asset Pricing Model (CAPM) in an arbitrage-free setting. Next, it demonstrates the application of the s…
Rice University
This second course serves as an introduction to the physics of electricity and magnetism. Upon completion, learners will understand how mathematical laws and conservation principles describe fields and how these fields are related to electrical circuits. Learners will gain experience in solving phy…
Columbia University
This course focuses on computational methods in option and interest rate, product’s pricing and model calibration. The first module will introduce different types of options in the market, followed by an in-depth discussion into numerical techniques helpful in pricing them, e.g. Fourier Transform (…
Columbia University
This course discusses topics in derivative pricing. The first module is designed to understand the Black-Scholes model and utilize it to derive Greeks, which measures the sensitivity of option value to variables such as underlying asset price, volatility, and time to maturity. Greeks are important…
University of Colorado Boulder
This course will focus on theory and implementation of hypothesis testing, especially as it relates to applications in data science. Students will learn to use hypothesis tests to make informed decisions from data. Special attention will be given to the general logic of hypothesis testing, error an…
The Hong Kong University of Science and Technology
Course Overview: https://youtu.be/xyF-MmGNxd0 The 20th century was known as the century of physics. In the past 120 years, concepts such as space, time, energy, entropy and particles were understood to much deeper levels. New paradigms of thinking such as relativity and quantum mechanics emerged. T…
Duke University
Data science courses contain math—no avoiding that! This course is designed to teach learners the basic math you will need in order to be successful in almost any data science math course and was created for learners who have basic math skills but may not have taken algebra or pre-calculus. Data Sc…
University of Pennsylvania
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.…
University of Pennsylvania
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.…
University of Pennsylvania
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.…
Imperial College London
This intermediate-level course introduces the mathematical foundations to derive Principal Component Analysis (PCA), a fundamental dimensionality reduction technique. We'll cover some basic statistics of data sets, such as mean values and variances, we'll compute distances and angles between vector…
Instituto Tecnológico de Aeronáutica
Este curso apresenta os principais conceitos do controle de sistemas e mostra suas vantagens e importância para a sociedade moderna. Você vai entender o que é o controle de sistemas e como o controle com realimentação funciona, e passará a perceber a sua presença em diversas situações em seu dia-a-…
Hebrew University of Jerusalem
קורס זה עוסק במתמטיקה של בית ספר תיכון מנקודת מבט מתקדמת. מטרתו העיקרית היא לחשוף סטודנטים לעתיד לאופן שבו מתמטיקאים רואים מקצוע זה, ובכך להכין אותם ללימודי מתמטיקה ברמת אוניברסיטה.
Coursera
By the end of this project, you will be fully prepared to use iKnowit with your students to improve their math skills. IKnowit is an interactive math practice site for students in Kindergarten through Grade 5. Through iKnowit, teachers can assign students math activities that are at their ability l…
