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Евгений Маевский
В онлайн-курсе НИУ ВШЭ представлены основные понятия и методы математического анализа, необходимые для работы с данными.
Первая лекция вводная и посвящена обсуждению базовых понятий: функция, ее график, множество уровня и т.д. Следующие пять лекций содержат основы теории пределов и дифференциального исчисления скалярных и векторных функций от одной и нескольких переменных. В частности, в шестой лекции рассматриваются задачи гладкой оптимизации. Последняя, седьмая лекция посвящена интегральному исчислению. Наряду со стандартным материалом в курсе рассмотрены некоторые вычислительные методы и алгоритмы.
Register for this course and see more details by visiting:
OpenCourser.com/course/bwry97/matematicheskii
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Teaches the mathematical analysis concepts that are essential for working with data
Strong fit for learners who want to enter or advance in the field of data science or analytics
Introduces the essential mathematical ideas for working with data and is appropriate for beginners
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Reviews summary
Math for data scientists
This math course provides a comprehensive overview of concepts critical to data science, including functions, limits, derivatives, and integrals. The course is well-paced and engaging, though some students may find the extensive homework assignments challenging. Overall, it is a valuable resource for students looking to strengthen their mathematical foundation for data science.
Clear and concise explanations of mathematical concepts.
"Отличный курс. Достаточно большой объем материала и в то же время все доходчиво объясняется."
In-depth coverage of key mathematical concepts for data science.
"Основные понятия и методы математического анализа, необходимые для работы с данными."
Some topics are mentioned but not covered in detail.
"Некоторые темы просто скипнуты. Я понимаю, что они достаточно простые, но зачем тогда было вообще о них упоминать."
Disorganized lecture slides with limited search functionality.
"Слайды, добавленные к неделям сделаны в форме скриншотов, без какого-либо оглавления, без возможности искать что-то в них."
Extensive and rigorous homework assignments.
"Довольно ядреные домашки, столько производных я не считал со времен университетской скамьи."
"Курс очень понравился, каждая тема раскрыта максимально подробно. Единственно, надо набраться терпения при прохождении курса, т.к. на этот курс уйдет достаточно много времени."
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
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it. Supplement your coursework and achieve mastery of the topics covered
in Математический анализ для работы с данными with these
activities:
Review prerequisites for this calculus course
Show steps
Go over the foundational mathematical concepts that are essential for success in this calculus course.
Browse courses on
Algebra
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-
Review your notes or textbooks from previous math courses, especially in the areas of algebra and trigonometry.
-
Take practice quizzes or solve problems to assess your understanding of key concepts.
Review differential and integral calculus
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Revisit differential and integral calculus concepts to refresh your skills.
Browse courses on
Differential Calculus
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-
Go over your old notes or textbooks.
-
Solve practice problems from the book or online resources.
Participate in study groups or discussions
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Engage with peers in study groups or discussions to clarify concepts and share perspectives.
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Join or form a study group with classmates.
-
Participate actively in discussions, asking questions and sharing your understanding.
Five other activities
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Show all eight activities
Regular practice with calculus problems
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Practice solving various types of calculus problems to improve your proficiency and accuracy.
Browse courses on
Problem-Solving
Show steps
-
Find a collection of calculus practice problems from textbooks or online resources.
-
Allocate time for regular practice, setting aside dedicated study sessions for solving problems.
Explore applications of calculus in data science
Show steps
Explore specific examples of how calculus is used in real-world data science applications.
Browse courses on
Applications of Calculus
Show steps
-
Find online tutorials or articles on specific applications of calculus in data science.
-
Follow the steps provided in the tutorials and try implementing the concepts yourself.
Write a comprehensive summary of a specific mathematical topic
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Enhance your understanding by writing a detailed summary of a mathematical topic covered in the course.
Browse courses on
Technical Writing
Show steps
-
Choose a specific mathematical concept or theorem from the course.
-
Research and gather relevant information from textbooks, articles, or online resources.
-
Organize and write a comprehensive summary, explaining the concept clearly and accurately.
Create a visual representation of mathematical concepts
Show steps
Express mathematical concepts through visual representations, such as diagrams, graphs, or interactive simulations.
Browse courses on
Visualization
Show steps
-
Identify a particular mathematical concept from the course.
-
Brainstorm ideas for how to represent the concept visually.
-
Create a visual representation using appropriate tools or software.
Build a mathematical model to solve a real-world problem
Show steps
Apply the mathematical concepts learned in the course to solve a real-world problem through modeling.
Browse courses on
Mathematical Modeling
Show steps
-
Identify a problem or challenge that can be addressed using mathematical modeling.
-
Develop a mathematical model to represent the problem.
-
Validate and refine the model using data and analysis.
Review prerequisites for this calculus course
Show steps
Go over the foundational mathematical concepts that are essential for success in this calculus course.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Review your notes or textbooks from previous math courses, especially in the areas of algebra and trigonometry.
- Take practice quizzes or solve problems to assess your understanding of key concepts.
Review differential and integral calculus
Show steps
Revisit differential and integral calculus concepts to refresh your skills.
Browse courses on
Differential Calculus
Show steps
Show steps
Show steps
- Go over your old notes or textbooks.
- Solve practice problems from the book or online resources.
Participate in study groups or discussions
Show steps
Engage with peers in study groups or discussions to clarify concepts and share perspectives.
Show steps
Show steps
Show steps
- Join or form a study group with classmates.
- Participate actively in discussions, asking questions and sharing your understanding.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Regular practice with calculus problems
Show steps
Practice solving various types of calculus problems to improve your proficiency and accuracy.
Browse courses on
Problem-Solving
Show steps
Show steps
Show steps
- Find a collection of calculus practice problems from textbooks or online resources.
- Allocate time for regular practice, setting aside dedicated study sessions for solving problems.
Explore applications of calculus in data science
Show steps
Explore specific examples of how calculus is used in real-world data science applications.
Browse courses on
Applications of Calculus
Show steps
Show steps
Show steps
- Find online tutorials or articles on specific applications of calculus in data science.
- Follow the steps provided in the tutorials and try implementing the concepts yourself.
Write a comprehensive summary of a specific mathematical topic
Show steps
Enhance your understanding by writing a detailed summary of a mathematical topic covered in the course.
Browse courses on
Technical Writing
Show steps
Show steps
Show steps
- Choose a specific mathematical concept or theorem from the course.
- Research and gather relevant information from textbooks, articles, or online resources.
- Organize and write a comprehensive summary, explaining the concept clearly and accurately.
Create a visual representation of mathematical concepts
Show steps
Express mathematical concepts through visual representations, such as diagrams, graphs, or interactive simulations.
Browse courses on
Visualization
Show steps
Show steps
Show steps
- Identify a particular mathematical concept from the course.
- Brainstorm ideas for how to represent the concept visually.
- Create a visual representation using appropriate tools or software.
Build a mathematical model to solve a real-world problem
Show steps
Apply the mathematical concepts learned in the course to solve a real-world problem through modeling.
Browse courses on
Mathematical Modeling
Show steps
Show steps
Show steps
- Identify a problem or challenge that can be addressed using mathematical modeling.
- Develop a mathematical model to represent the problem.
- Validate and refine the model using data and analysis.
Career center
Learners who complete Математический анализ для работы с данными will develop knowledge and skills
that may be useful to these careers:
Data Scientist
Data Scientist
Data Scientists use mathematical, statistical, and computational techniques to extract knowledge and insights from data. They work with businesses and organizations to help them make better decisions. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in data science, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as a Data Scientist.
Machine Learning Engineer
Machine Learning Engineer
Machine Learning Engineers design and develop machine learning models to solve complex problems. They work with data scientists and other engineers to build and deploy models that can learn from data and make predictions. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in machine learning, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as a Machine Learning Engineer.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to solve complex problems in business and industry. They develop and implement solutions that improve efficiency, productivity, and profitability. This course in Mathematical Analysis for Working with Data can help you build a foundation in the mathematical concepts and methods used in operations research, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as an Operations Research Analyst.
Statistician
Statistician
Statisticians collect, analyze, interpret, and present data. They work with businesses, governments, and other organizations to help them make informed decisions. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in statistics, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as a Statistician.
Data Analyst
Data Analyst
Data Analysts collect, clean, and analyze data to find meaningful patterns and trends. They use their findings to help businesses make better decisions. This course in Mathematical Analysis for Working with Data can help you build a foundation in the mathematical concepts and methods used in data analysis, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as a Data Analyst.
Financial Analyst
Financial Analyst
Financial Analysts use mathematical and analytical techniques to evaluate and make recommendations on investments. They help businesses and individuals make informed decisions about their financial future. This course in Mathematical Analysis for Working with Data can help you build a foundation in the mathematical concepts and methods used in financial analysis, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with financial data, and this course can help you develop the skills you need to succeed as a Financial Analyst.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze and predict financial markets. They help investment firms make informed decisions about trading and investing. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in quantitative analysis, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with financial data, and this course can help you develop the skills you need to succeed as a Quantitative Analyst.
Actuary
Actuary
Actuaries use mathematical and statistical techniques to assess and manage risk. They work with insurance companies, pension funds, and other financial institutions to help them make informed decisions about their financial future. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in actuarial science, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as an Actuary.
Software Engineer
Software Engineer
Software Engineers design, develop, and maintain software applications. They work with businesses and organizations to help them solve problems and achieve their goals. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in software engineering, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as a Software Engineer.
Computer Scientist
Computer Scientist
Computer Scientists conduct research and develop new computer technologies. They work with businesses, governments, and other organizations to help them solve problems and achieve their goals. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in computer science, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as a Computer Scientist.
Operations Manager
Operations Manager
Operations Managers plan, organize, and oversee the day-to-day operations of a business or organization. They work with employees, customers, and suppliers to ensure that the business runs smoothly and efficiently. This course in Mathematical Analysis for Working with Data can help build a foundation in the mathematical concepts and methods used in operations management, such as functions, limits, derivatives, integrals, and optimization. These concepts are essential for understanding and working with data, and this course can help you develop the skills you need to succeed as an Operations Manager.
Business Analyst
Business Analyst
Business Analysts help businesses improve their performance by analyzing their business processes and identifying opportunities for improvement. They work with stakeholders throughout the organization to develop and implement solutions that meet the business's needs. This course in Mathematical Analysis for Working with Data can provide some of the mathematical concepts and methods used in business analysis, such as functions, limits, derivatives, integrals, and optimization. These concepts can be helpful for understanding and working with data, and this course may help you develop some of the skills you need to succeed as a Business Analyst.
Market Research Analyst
Market Research Analyst
Market Research Analysts conduct research to understand the needs and wants of consumers. They work with businesses and organizations to help them develop and market products and services that meet the needs of their target market. This course in Mathematical Analysis for Working with Data can provide some of the mathematical concepts and methods used in market research, such as functions, limits, derivatives, integrals, and optimization. These concepts can be helpful for understanding and working with data, and this course may help you develop some of the skills you need to succeed as a Market Research Analyst.
Product Manager
Product Manager
Product Managers are responsible for the development and marketing of a product or service. They work with engineers, designers, and marketers to ensure that the product meets the needs of the target market. This course in Mathematical Analysis for Working with Data can provide some of the mathematical concepts and methods used in product management, such as functions, limits, derivatives, integrals, and optimization. These concepts can be helpful for understanding and working with data, and this course may help you develop some of the skills you need to succeed as a Product Manager.
Financial Manager
Financial Manager
Financial Managers plan and oversee the financial activities of a business or organization. They work with employees, customers, and suppliers to ensure that the business has the resources it needs to achieve its goals. This course in Mathematical Analysis for Working with Data can provide some of the mathematical concepts and methods used in financial management, such as functions, limits, derivatives, integrals, and optimization. These concepts can be helpful for understanding and working with data, and this course may help you develop some of the skills you need to succeed as a Financial Manager.
For more career information including salaries, visit:
OpenCourser.com/course/bwry97/matematicheskii
Reading list
We've selected seven books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Математический анализ для работы с данными.
Provides a rigorous treatment of mathematical concepts that are essential for machine learning, such as linear algebra, calculus, and probability theory.
Provides a comprehensive overview of applied mathematics, with a focus on topics that are relevant to data science, such as linear algebra, calculus, and statistics.
Save
Provides a comprehensive overview of deep learning, a subfield of machine learning that has become increasingly popular in recent years.
Provides a comprehensive treatment of convex optimization, a mathematical technique that is used in a wide variety of applications, including machine learning.
Collection of problems and exercises in mathematical analysis, which can be used to supplement the course material.
Provides a practical introduction to numerical optimization, a field of mathematics that is used to solve optimization problems.
Provides a comprehensive overview of probability and statistics, with a focus on applications to computer science.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/bwry97/matematicheskii
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Time
6 hours
Via
Coursera
Institution
HSE University
Instructor
Евгений Маевский
This course belongs to a
collection
called
Математика для анализа данных. It's comprised of four courses:
- Теория вероятностей и ее приложения
- Дискретная математика: подсчеты, графы, случайные блуждания
- Математический анализ для работы с данными (viewing)
- Линейная алгебра: от идеи к формуле
Good to know
Teaches the mathematical analysis concepts that are essential for working with data
Strong fit for learners who want to enter or advance in the field of data science or analytics
Introduces the essential mathematical ideas for working with data and is appropriate for beginners
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