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18.01x Single Variable Calculus

Master the calculus of derivatives, integrals, coordinate systems, and infinite series. In this series, you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts. Along with the fundamental computational skills required to solve these problems, you will also gain insight into real-world applications of these mathematical ideas. Learner Testimonials 18.01.1x "Very detailed and comprehensive to the point where it's not possible not to understand concepts or not to be able to solve challenging problems. We are all very fortunate that Professor Jerison and his team spent the time to put together this experience for us. I suspect that it's on an ongoing effort where changes are being made to facilitate learning. It is very rewarding. It can be time-consuming, but I finally realized that to really get math, it takes this much time and effort. Third course in the sequence in at this point, the only thing I am missing is more MIT math MOOCs." - Ivan (completed this course) 18.01.2x "Part 2 of single variable calculus course is another great MIT course. The videos, exercises and problem sets are excellent. The pace of the course accommodates everyone from students, busy working professionals, etc., Add to this generous extensions of the due date by the course staff so that maximum students can learn and complete the course. A great way to learn single variable calculus." - Dna47a (completed this course, spending 10 hours a week on it and found the course difficulty to be medium) 18.01.3x "Another excellent MIT course. The videos, exercises and the problem sets are too good. Add to all this a lively discussion forum where the staff and TA's are always there to help you out." - Dna47a (completed this course)

XSeries

18.03x Differential Equations

Differential equations are the language of the models that we use to describe the world around us. In this series, we will explore temperature, spring systems, circuits, population growth, biological cell motion, and much more to illustrate how differential equations can be used to model nearly everything. We will develop the mathematical tools needed to solve linear differential equations, understand 2x2 systems of first-order linear and nonlinear differential equations. We will use linear algebra to solve systems of more than two differential equations. As well as, explore the use of Fourier series to analyze the behavior of and solve ordinary differential equations (ODEs) and separable partial differential equations (PDEs). In the last course of the series, we will consider frequency domain and Laplace transform to help us appreciate their effects on mechanical and electrical systems. Learner Testimonials "Wonderful course on differential equations. The teachers provide a nice computational tool to depict the dynamics of solving the equations, which is very useful for students to grasp the key ideas and concepts.” - Jiting (completed this course, spending 10 hours a week on it and found the course difficulty to be medium) "Interesting course. Lectures, homeworks and review exercises of any part are really well setup. One of the best MOOC on topic of differential equations." - Gaetano (completed this course, spending 4 hours a week on it and found the course difficulty to be medium) "Another excellent course from MIT. The lecture videos are excellent and so are the exercises. This course also has MATLAB based exercises which is wonderful. The problem sets are excellent and so are the staff and the community teaching assistants who are always there to help any time." - Dna47a (completed this course, spending 8 hours a week on it and found the course difficulty to be medium)

XSeries

5G Strategy for Business Leaders

This program is for current or aspiring business leaders, entrepreneurs, and managers that are looking to leverage 5G as part of their business growth strategy. No background or formal education in 5G is required. Today we’re undergoing one of the most significant technological shifts of the last 50 years. A variety of new technologies and market pressures are colliding to open up the future for business. The convergence of software and networks, cloud, containers, Internet of Things (IoT), Edge, AI and more require us to rethink how we make business and technology decisions. 2G brought digital cellular, 3G greater speeds and, of course, 4G gave us streaming video. 5G is here and will be the biggest leap yet. It means more data and faster speeds with the ability to connect more devices. These are the capabilities that will make the promises of Artificial Intelligence, IoT, and smart cities go from buzzword to reality. This program will teach business managers what is 5G, what are the tools driving its evolution and how to implement a network architecture modernization strategy that enables business- wide digital transformation.

Professional Certificates

Accounting

Accountants with deep financial expertise, business acumen, real-world experience, decision-making ability, and effective communication skills are vital to businesses of all sizes and have tremendous career opportunities. This MicroMasters® program in Accounting is designed for smart, hardworking students with integrity and passion who want to substantially enhance their understanding of accounting. The program curriculum includes courses in the three most fundamental areas of accounting: financial accounting, managerial accounting, and income taxes. Learn from world-renowned, award-winning accounting faculty at the top-ranked Kelley School of Business at Indiana University. The MicroMasters program will introduce you to the following key areas in the accounting profession: Financial Reporting I – How do firms measure and report financial position and financial performance in a set of financial statements? Managerial Accounting and Corporate Control – How do firms make critical strategic decisions using accounting information? Taxes and Decision Making – How do income taxes impact firms, their strategies, capital structure, and after-tax profits? The three graduate-level courses in the MicroMasters program represent 30% of the coursework in the online Master of Science in Accounting from the Kelley School of Business at Indiana University offered on the edX platform. The three graduate-level courses in the MicroMasters program represent 30% of the coursework in the online Master of Science in Accounting from the Kelley School of Business at Indiana University offered on the edX platform. Those who successfully complete this MicroMasters program as a verified learner by the 2022 Spring or Summer term are eligible to apply to the MS in Accounting.

MicroMasters® Programs

Advanced Cardiac Imaging

Understand the basic concepts of using and interpreting cardiac computed tomography (CT) and cardiovascular magnetic resonance (CMR) through didactic lectures with high quality animations, whilst also having hands-on experience to analyze real clinical cases. The course is delivered by world-renowned radiologists and cardiologists, and helps you obtain the career advice and expertise in cardiac CT and cardiac magnetic resonance imaging (MRI). This program combines fundamental knowledge and skills with advanced technological developments in the field. Topics such as coronary artery disease, cardiomyopathy, heart failure, structural heart disease and congenital heart disease will be covered. Cardiac CT and cardiac MR techniques such as CT angiography (CTA), CT-FFR, CT for transcatheter aortic valve replacement/ implantation (TAVR/ TAVI), stress perfusion CMR for ischemic heart disease, CMR for vascular disease, MRI coronary angiography and CMR for pediatric patients will be delivered with the state of the art animations. Clinical cases will also be provided to allow you to learn post-processing skills for CT and MRI cases. By the end of this program, you will be equipped with a solid understanding of cardiac CT and cardiac MRI with practical skills on assessing cardiac CT and cardiac MRI images.

Professional Certificates

Agile Project Management

Nominated for the 2020 edX Prize In this Professional Certificate program, you will learn the mechanics of how to design and facilitate projects using “pure” Agile Scrum and Lean Kanban techniques. You will also learn the trade-offs of using hybrid techniques such as Lean Startup, Scaled Agile For the Enterprise (SAFe), and Disciplined Agile Development. We will then go beyond these frameworks to the science and essential principles you’ll need to ensure you get the greatest benefits of Agile Project Management methods: Speed, Innovation, Leadership, and Kaizen (Change for the Better). After completing this course series, you will be able to clearly explain how Agile techniques address faults in traditional project management techniques, the tradeoffs (benefits and risks) of these approaches, and when it’s best to apply them to maximize value to the organization. Engineers, managers, designers, writers, creators, and executers of all types will benefit from learning these principles of Agile. Whether you’re delivering a small part of a project or portfolios of large multi-million-dollar government works; these principles scale and apply to all industries to achieve delivery success. This is why companies that are embracing these principles continue to set record earnings and stock prices (e.g. AMZN, APPL, TSLA); and those that ignore them find themselves unable to compete. Upon successful completion of this program, learners can earn up to 50 Professional Development Unit (PDU) credits, 10 PDU credits per course, which are recognized by the Project Management Institute (PMI). PDU credits are essential to those looking to maintain certification as a Project Management Professional (PMP).

Professional Certificates

AI and Cloud Computing: Implementation Strategies for Business

Digital technologies are ever-evolving, rapidly moving from disruptive newcomers to industry standards. Despite the widespread adoption of cloud computing and interest in Artificial Intelligence (AI), uncertainty remains around how to best implement these technologies and fully realize the competitive advantages they present. To add value at your organization and remain competitive, it is critical that you have the tools and knowledge to implement and leverage digital technologies. Designed for leaders responsible for making technology-related business decisions, this program provides an overview of cutting-edge technologies such as cloud computing, big data, AI and cognitive computing, blockchain, the Internet of Things (IoT), quantum computing and 5G, and how they can be strategically implemented within specific enterprise environments. Operating at the intersection of IT and business presents unique challenges. Leaders and managers need to stay on top of proliferating information and digital transformation, while reconciling technological advancements with existing environments and legacy systems. Not only do you need to determine the best breed of technology in the marketplace, you also need to ensure new technology aligns with existing technical environments, and supports business needs, processes and objectives. This professional certificate program will address these challenges by providing a strategic overview of emerging vendor-specific digital technologies, focusing on two of the most important and in-demand domains: cloud computing and AI. Learners will review these technologies within an overarching enterprise architecture context, considering factors such as risk management, open source vs. proprietary, redundancy, security and growth. Through real-world case studies and application exercises you will gain the skills to make sound business-driven technology decisions, and oversee implementation. You will apply program teachings to your own specific use cases, and will get to complete the end-to-end process from technology selection to workplace adoption.

Professional Certificates

AI and Data Analytics for Business Leaders

In today's ever-changing business landscape, it is more important than ever for leaders to have an understanding of artificial intelligence and data analytics. AI is expected to drive significant growth and value for the global economy, generated by the companies and countries that leverage it over the coming years. With that in mind, it's critical for leaders, managers, executives, and board members to develop their AI skills and understand how to leverage data to make the right decisions to grow their businesses. This Professional Certificate in AI and Data Analytics, brought to you by Babson College, the #1 school in Entrepreneurship (U.S. News & World Report), will give leaders a basic understanding of AI and how autonomous data can be used to make critical business decisions. The courses in this program will give learners the skills, strategies, and tactics to create AI-powered business models and explain how AI will impact their customers, employees, investors, operations, and product/service offerings. The program will also dive deeper into data analytics to help business leaders understand the fundamental concepts of sound statistical thinking. Key concepts such as understanding variation, perceiving the relative risk of alternative decisions, and pinpointing sources of variation will be highlighted.

Professional Certificates

AI in Practice

Start by recognizing AI’s multiple benefits and implications and end by making a plan for its application. Artificial Intelligence (AI) is like electricity must have been 140 years ago. We may not yet be able to properly imagine how it will affect our lives, but organizations need to start thinking about how AI can be applied to and improve everyday practice. We can’t just leave this to the coding elite either. This program is therefore not about difficult algorithms and complex programming. Rather, it is for anyone, regardless of their professional background or job role, who is interested in learning how to prepare for and apply AI in their own situation, for instance: Experienced managers who want to know what AI can do for their own organization. Data analysts or business consultants who want to understand how AI can be applied in the business processes of the company for which they work. Students who want to understand how the results of AI research can be translated into practical applications. AI innovative solutions, such as the use of machine learning, deep learning, computational argumentation, diagnostic image analysis, reinforcement learning, natural language processing, robotics and data analytics, can help you and your company solve specific problems, drive efficiency and improve performance and decision-making. This two-course program provides a wide range of cases and examples of current AI applications in various organizations. It presents ideas and case studies for actual situations based on state-of-the-art AI research, and provides practical tools for integrating AI into your own organization. This program has been developed by Delft University of Technology and the Innovation Center for Artificial Intelligence Academy (ICAI) in the Netherlands. ICAI is a national initiative involving industry, universities and government in the area of AI research and applications. Case studies presented include contributions from top Dutch universities, public institutions and AI experts from companies such as ING, Ahold Delhaize, Elsevier, KPN and Thirona.

Professional Certificates

Algorithms and Data Structures

This MicroMasters program is a mix of theory and practice: you will learn algorithmic techniques for solving various computational problems through implementing over one hundred algorithmic coding problems in a programming language of your choice. No other online course in Algorithms even comes close to offering you a wealth of programming challenges that you may face at your next job interview. To prepare you, we have invested thousands of hours designing challenges as an alternative to multiple choice questions that you usually find in MOOCs. We believe in learning through application, especially when it comes to learning algorithms. For each algorithm you develop and implement, we have designed multiple tests to check its correctness and running time — you will have to debug your programs without even knowing what these tests are! It may sound difficult, but we believe it is the only way to truly understand how the algorithms work and to master the art of programming.

MicroMasters® Programs

American Sign Language Science

The program integrates the history of American Sign Language (ASL) with research that has been done on the structure, learning, and historical change of ASL and other sign languages. In this program, you will learn how sign languages are structured and how these structures vary. It also looks at how children and adults acquire the ability to understand and use sign language. The program takes a deep dive into recent research on how sign languages have come into existence and how they change as they are used over generations of deaf and hearing users. In addition, this program serves as a resource that helps students process new information, including cutting-edge research. The program is divided into four parts, each exploring different aspects of sign language. The program will introduce students to the science of sign language research and, for the fluent ASL signer, the history and structure of their own language. The content exposes students to an intermediate level in the fields of linguistics and cognitive sciences.

Professional Certificates

Analytics: Essential Tools and Methods

Nominated for the 2020 edX Prize Gain an interdisciplinary understanding of the essential fundamentals of analytics, including analysis methods, analytical tools, such as R, Python and SQL, and business applications. Using common analytics software and tools, statistical and machine learning methods, and data-intensive computing and visualization techniques, learners will gain the experience necessary to integrate all of these parts for maximum impact. Project experience is also included as part of the MicroMasters program. Through these projects, learners will hone their skills with data collection, storage, analysis, and visualization tools, as well as gain instincts for how and when each tool should be used. These projects provide hands-on experience with real-world business applications of analytics and a deeper understanding of how to apply analytics skills to make the biggest difference.

MicroMasters® Programs

Anatomy

In this XSeries you will explore human anatomy using a systems approach, and a vast library of multimedia materials, so you may understand the features of different organ systems in relation to the human body’s form and function. This XSeries covers the following organ systems: Integumentary System Musculoskeletal System Cardiovascular System Respiratory System Urinary System Nervous System Gastrointestinal System Reproductive System Endocrine System This XSeries takes advantage of a highly visual multimedia library of accurate anatomical models and materials to help you better understand the topics.

XSeries

Animal Breeding and Genetics

In this Professional Certificate Program, the focus is on the design, the set-up, execution and optimization of animal breeding programs, genetic improvement and conservation of genetic diversity. Follow this program and learn what the key factors are for improving and increasing productivity and learn what it takes to create and maintain a healthy and strong population. You will learn about the basic principles of population, quantitative and molecular genetics. Biological aspects are integrated in the courses by the many hands-on assignments as well. Professionals working with animals will be able to use the knowledge from these courses to understand the impact of breeding on animal populations and to use genetic principles to make their decisions. Furthermore, following this program will give you an advanced starting point for further studies, such as MSc. level courses in animal breeding. For who Although this course is open to everyone, it is particular useful for breeders of: Cows Poultry/Chicken Horses Pigs/Swine Dogs Sheep Fish Shrimp This program is a great step towards understanding the principles of animal breeding and the sector. Depending upon the animal industry of interest, animal scientists can work in jobs such as cattle breed association representative, dairy industry breeding consultant and/or company representative for Artificial Insemination (AI) companies. Or you can be working for a private breeding company in the case of the swine, poultry and aquaculture industries. In fact, some scientists with experience in animal breeding and genetics go on to work for plant breeding companies. Join this Professional Certificate Program made by top-experts from Wageningen University & Research, ranked #1 for agricultural sciences in the NTU ranking. By joining the program, you become part of the growing community of students that are trained at the Animal Breeding and Genomics Group, which is the centre of excellence for all national and international animal breeding and genomics activities of Wageningen University & Research. The centre is a preferred knowledge and business partner for many national and international clients from both the public and private sector. This includes breeding organisations in commercial and non-commercial livestock, pet animals and horses, the EU and national and foreign governments.

Professional Certificates

Applications of Linear Algebra

This certificate program will take students through roughly seven weeks of MATH 1554, Linear Algebra, as taught in the School of Mathematics at The Georgia Institute of Technology. In the first course, you will explore the determinant, which yields two important results. First, you will be able to apply an invertibility criterion for a square matrix that plays a pivotal role in, for example, computer graphics and in other more advanced courses, such as multivariable calculus. The first course then moves on to eigenvalues and eigenvectors. The goal of this part of the course is to decompose the action of a linear transformation that may be visualized. The main applications described here are to discrete dynamical systems, including Markov chains. However, the basic concepts afforded by eigenvectors and eigenvalues are useful throughout industry, science, engineering and mathematics. In the second course you will explore methods to compute an approximate solution to an inconsistent system of equations that have no solutions. This has a central role in the understanding of current data science applications. The second course then turns to symmetric matrices. They arise often in applications of the singular value decomposition, which is another tool often found in data science and machine learning.

Professional Certificates

Applied AI

Artificial Intelligence (AI) continues to transform the world we live in today. As such, it’s imperative for developers and technology consultants alike to understand AI and possess the skills to create AI powered applications in order to be competitive in your field. This program is designed to arm you with the skills to become and AI Application Developer and advance your career. Through this Professional Certificate program, you will gain a strong understanding of AI, its applications, and use cases, enabling you to apply pre-built AI acumen to your products and solutions. With no prior knowledge or programming background required, you will learn to design, build, and deploy AI-powered applications, create AI driven chatbots, all while developing critical Python skills. You will also become familiar with IBM Watson AI services and APIs. AI skills are imperative for anyone working or entering the technology sector. This program will prepare you for a career in AI applications and enhance your current skill set to grow in your domain. At the end of this program, you will have several projects in hand showcasing AI applications and building AI powered solutions, and walk away with the skills necessary to succeed in your next career step.

Professional Certificates

Applied Corporate Finance

Building on the ‘Foundations of Finance’ course, completing your Professional Certificate in Applied Corporate Finance will give you a rigorous understanding of universal financial concepts, & the skills & confidence to apply them. From cash flow, debt & valuation, to the perspectives of shareholders & other stakeholders, understanding how to interpret - & prepare - financial information can make the difference between beneficial & catastrophic decisions in all organisations. Whether you want to brush up your knowledge of capitalisation, amortisation & revaluation, are responsible for a budget or financial accounting, or need to present a proposal to a panel of financial decision makers, this program provides a straightforward & practical financial toolkit you can use across the board.

Professional Certificates

Applied Data Science with R

Data Science and Data Analytics skills are in high demand and R is the programming language of choice for many data professionals. This Applied Data Science with R program emphasizes a hands-on approach to developing job-ready skills for analyzing and visualizing data using R. You will start the program by learning the fundamentals of R language, including common data types and structures, and utilize it for basic programming and data manipulation tasks. As you progress in the program, you will learn about relational database concepts and gain a foundational knowledge of the SQL language. You will access and analyze data in databases using R and SQL through Jupyter notebooks. You will learn various data analysis techniques – from cleaning and refining data to developing, evaluating, and tuning , data science models. You will also learn how to tell a compelling story with data by creating graphs, visualizations, dashboards and interactive data applications. In each course you will complete hands-on labs and projects to help you gain practical experience with data manipulation, analysis and visualization using a variety of datasets. You will work with tools like R Studio, Jupyter Notebooks, Watson Studio and related R libraries for data science, including dplyr, Tidyverse, Tidymodels, R Shiny, ggplot2, Leaflet, and rvest. By the end of the program you will be able to apply the data science skills and techniques that you have accumulated and show case those skills in the R Data Science Capstone Project. involving a real-world dataset, and inspired by a real business challenge. This project will culminate in a presentation for reporting the results of data analysis with stakeholders.

Professional Certificates

Astrophysics

The Astrophysics XSeries Program consists of four foundational courses in astrophysics taught by prestigious leaders in the field, including Nobel Prize winners. You will be taught by Brian Schmidt, who led the team that discovered dark energy – work which won him the 2011 Nobel Prize for Physics, and by prize-winning educator, science communicator and astrophysics researcher Paul Francis, who will take you through an incredible journey where you learn about the unsolved mysteries of the universe, exoplanets, black holes and supernovae, and general cosmology. Astronomy and astrophysics is the study of everything beyond Earth. Astronomers work in universities, at observatories, for various space agencies like NASA, and more. The study of astronomy provides you with a wide range of skills in math, engineering, and computation which are sought after skills across many occupations. This XSeries Program is great for anyone to start their studies in astronomy and astrophysics or individuals simply interested in what lies beyond Earth.

XSeries

AWS Developer Series

In this integrated, three-part skills series, you will learn how to use your software development and developer operations skills in the AWS Cloud ecosystem. You will learn how to use Amazon Web Services SDKs to build secure and scalable cloud applications, as well as how to use the most common DevOps patterns to develop, deploy, and maintain applications on AWS. We will begin with an introduction to AWS services and AWS development SDKs. You will start with a simple web application. Throughout the course, you will then learn how to make the application more durable, scalable, and secure. You will gain hands-on experience with foundational AWS services such as Amazon EC2, Amazon S3, and Amazon RDS. In addition, you will create an event-driven architecture using AWS Lambda, Amazon Simple Queue Service (SQS), and Amazon Simple Notification Service (SNS); improve application performance; and make your application highly available. You will also implement image processing with Amazon Rekognition and text-to-voice functionality with Amazon Polly. This skills series has a significant hands-on component involving the AWS Free Tier in which you will explore AWS services and concepts using AWS SDKs, AWS APIs, and the AWS Console. Though programming exercises will be in Python, they will be applicable to other languages and frameworks.

XSeries

Basic Spanish

Learn Spanish language online at your own pace. Whether you are learning Spanish to study or work abroad, this program will help you get started. The learn Spanish program will give you a general understanding of common words and phrases as well as basic grammar, Spanish pronunciation and conversation skills, allowing you to communicate in everyday situations according to the A2 proficiency level (elementary) as described in the Common European Framework of Reference for Languages (CEFRL, Council of Europe). These Spanish language courses have been developed using an innovative language learning methodology that lets English speakers develop their language skills while they have fun practicing everyday situations.

Professional Certificates

Bayesian Statistics Using R

Bayesian approach is becoming increasingly popular in all fields of data analysis, including but not limited to epidemiology, ecology, economics, and political sciences. It also plays an increasingly important role in data mining and deep learning. This program provides a practical introduction to applied Bayesian data analysis, combining theory, philosophy and computational facility with the emphasis on formulating and answering real life questions. The two courses provide a broad overview of the fundamentals of Bayesian inference via clear practical examples and may serve as a stepping stone towards any other, more specialized, topic in Bayesian statistics.

Professional Certificates

Big Data

Big data is changing the way businesses operate. Driven by a new scale of data collection that provides massive levels of information, businesses are now able to analyse and gather data insights to make better-informed decisions. Data scientists and business analysts are in high-demand as companies look to use data to improve their business operations. In this Big Data MicroMasters program, you will learn tools and analytical methods to use data for decision-making, collect and organise data at scale, and gain an understanding of how data analysis can help to inform change within organisations. You’ll develop both the technical and computational skills that are in high demand across a range of industries. You’ll develop critical skills in programming for data science, computational thinking, algorithm design, big data fundamentals, and data-driven analysis, with plenty of opportunities to apply and explore your new learnings through a range of case studies.

MicroMasters® Programs

Big Data Technology

This program integrates a variety of topics to allow students to learn the fundamental facets of big data and how it is used in the real world. Topics include mathematical foundations (convex/non-convex optimization and computational methods), data analytics (from data collection, integration, cleansing, mining, machine learning, to business intelligence), and data processing infrastructures (MapReduce, Hadoop, Apache Spark, SQL). The courses in this program are offered by renowned faculty members from the Computer Science and Engineering Department and the Mathematics Department at HKUST. HKUST ranks at the 30th in Computer Science and Information Systems and 36th in Mathematics according to 2021 QS World University Rankings by Subject.

MicroMasters® Programs

Blockchain Essentials

Few emerging technologies inspire more conversation and debate than blockchain. In this program, you’ll discover what the blockchain is, how it works, and how it can be applied to the modern economy in exciting new ways – including in the form of cryptocurrency and other novel use cases. While blockchain technology has only recently been developed, it is improving banking, supply chain, and other transaction networks by making digital interaction and trade more secure and reliable. It allows us to rethink how data is stored, moved, and updated across a network. In this professional certificate program, you will broaden your understanding of the world of blockchain technologies and learn how they are changing the way goods and services are exchanged between participants. Additionally, you will gain new skills as you design and work with smart contracts, bitcoin wallets, transactions, fabricode, Chain SDKs, and more. Businesses are implementing blockchain technology to bring a new level of trust, security, and durability to their network operations. As more and more employers look to leverage the benefits of blockchain technology, more employment opportunities for those with the in-demand knowledge and skills taught in this program will be created every day. Blockchain can provide value in many business contexts, across the world. Take a deeper look and go beyond the hype as you learn not only the state-of-the-art in blockchain technology, but also how it will evolve in the future!

Professional Certificates