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Дмитрий Ильинский
and
Alex Dainiak
Algebra is one of the definitive and oldest branches of mathematics, and design of computer algorithms is one of the youngest. Despite this generation gap, the two disciplines beautifully interweave. Firstly, modern computers would be somewhat useless if they were not able to carry out arithmetic and algebraic computations efficiently, so we need to think on dedicated, sometimes rather sophisticated algorithms for these operations. Secondly, algebraic structures and theorems can help develop algorithms for things having [at first glance] nothing to do with algebra, e.g. graph algorithms. One of the main goals of the offered course...
Read more
Algebra is one of the definitive and oldest branches of mathematics, and design of computer algorithms is one of the youngest. Despite this generation gap, the two disciplines beautifully interweave. Firstly, modern computers would be somewhat useless if they were not able to carry out arithmetic and algebraic computations efficiently, so we need to think on dedicated, sometimes rather sophisticated algorithms for these operations. Secondly, algebraic structures and theorems can help develop algorithms for things having [at first glance] nothing to do with algebra, e.g. graph algorithms. One of the main goals of the offered course...
Read more
Algebra is one of the definitive and oldest branches of mathematics, and design of computer algorithms is one of the youngest. Despite this generation gap, the two disciplines beautifully interweave. Firstly, modern computers would be somewhat useless if they were not able to carry out arithmetic and algebraic computations efficiently, so we need to think on dedicated, sometimes rather sophisticated algorithms for these operations. Secondly, algebraic structures and theorems can help develop algorithms for things having [at first glance] nothing to do with algebra, e.g. graph algorithms. One of the main goals of the offered course is thus providing the learners with the examples of the above mentioned situations. We believe the course to contain much material of interest to both CS and Math oriented students. The course is supported by programming assignments.
Register for this course and see more details by visiting:
OpenCourser.com/course/5ybsyi/algebra
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Focuses on how Algebra can impact modern computer science, specifically algorithms
Taught by recognized Algebra and algorithm design experts: Dmitry Ilyinsky and Alex Dainiak
Includes programming assignments to provide hands-on experience
Designed for both Computer Science and Mathematics students
Provides a unique perspective on the relationship between Algebra and algorithms
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Reviews summary
Interesting algebra & algorithms
This course on Algebra and Algorithms has been well received by its learners. One reviewer commented that the materials were interesting.
The course has good materials.
"Хороший материал, было интересно"
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Algebra & Algorithms with these
activities:
Review High School Algebra Notes
Show steps
Refresh your knowledge of fundamental algebraic concepts covered in high school to strengthen your foundation for the course.
Browse courses on
Algebra
Show steps
-
Gather your high school algebra notes or textbooks.
-
Review key concepts such as polynomials, equations, and functions.
-
Solve practice problems to reinforce your understanding.
Read 'Algebra: Chapter Zero'
Show steps
Review key concepts in algebra, such as sets, functions, and groups, to build a strong foundation for the course.
Show steps
-
Purchase or borrow the book.
-
Read the book, taking notes and highlighting important concepts.
-
Complete the exercises at the end of each chapter.
Explore Khan Academy's Algebra Modules
Show steps
Supplement your understanding by accessing free online tutorials that provide interactive lessons and exercises on algebraic concepts.
Browse courses on
Algebra
Show steps
-
Create a Khan Academy account.
-
Navigate to the Algebra section.
-
Complete the modules and practice exercises.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve Algebraic Equations
Show steps
Enhance your algebraic skills by practicing solving equations, which are essential for understanding the course material.
Browse courses on
Algebra
Show steps
-
Find online or textbook resources with algebraic equations.
-
Solve the equations, showing your work and steps.
-
Check your answers using a calculator or online solvers.
Form a Study Group
Show steps
Collaborate with peers to discuss course material, solve problems together, and enhance your understanding through group learning.
Browse courses on
Algebra
Show steps
-
Recruit 2-4 classmates who are enrolled in the course.
-
Schedule regular study sessions.
-
Review course notes, work through problems, and engage in discussions.
Attend an Algebra Workshop
Show steps
Participate in a workshop led by an expert to gain insights into advanced algebraic techniques and gain hands-on experience.
Browse courses on
Algebra
Show steps
-
Research and identify relevant algebra workshops.
-
Register for and attend the workshop.
-
Actively engage in the workshop activities and discussions.
Design an Algorithm
Show steps
Apply the principles of algebra to design an algorithm that solves a specific problem, fostering a deeper understanding of the interplay between the two disciplines.
Browse courses on
Algorithm Design
Show steps
-
Identify a problem that can be solved using algebraic principles.
-
Break the problem down into smaller, manageable steps.
-
Develop a step-by-step algorithm using algebraic operations.
-
Code the algorithm in a programming language.
-
Test and debug the algorithm to ensure its functionality.
Develop an Algebra Glossary
Show steps
Create a comprehensive glossary that defines key algebraic terms and concepts, fostering a deeper understanding and reference tool.
Browse courses on
Algebra
Show steps
-
Identify the essential terms and concepts covered in the course.
-
Define each term clearly and concisely.
-
Provide examples and illustrations to clarify the definitions.
-
Organize the glossary alphabetically or by topic.
Review High School Algebra Notes
Show steps
Refresh your knowledge of fundamental algebraic concepts covered in high school to strengthen your foundation for the course.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Gather your high school algebra notes or textbooks.
- Review key concepts such as polynomials, equations, and functions.
- Solve practice problems to reinforce your understanding.
Read 'Algebra: Chapter Zero'
Show steps
Review key concepts in algebra, such as sets, functions, and groups, to build a strong foundation for the course.
Show steps
Show steps
Show steps
- Purchase or borrow the book.
- Read the book, taking notes and highlighting important concepts.
- Complete the exercises at the end of each chapter.
Explore Khan Academy's Algebra Modules
Show steps
Supplement your understanding by accessing free online tutorials that provide interactive lessons and exercises on algebraic concepts.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Create a Khan Academy account.
- Navigate to the Algebra section.
- Complete the modules and practice exercises.
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve Algebraic Equations
Show steps
Enhance your algebraic skills by practicing solving equations, which are essential for understanding the course material.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Find online or textbook resources with algebraic equations.
- Solve the equations, showing your work and steps.
- Check your answers using a calculator or online solvers.
Form a Study Group
Show steps
Collaborate with peers to discuss course material, solve problems together, and enhance your understanding through group learning.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Recruit 2-4 classmates who are enrolled in the course.
- Schedule regular study sessions.
- Review course notes, work through problems, and engage in discussions.
Attend an Algebra Workshop
Show steps
Participate in a workshop led by an expert to gain insights into advanced algebraic techniques and gain hands-on experience.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Research and identify relevant algebra workshops.
- Register for and attend the workshop.
- Actively engage in the workshop activities and discussions.
Design an Algorithm
Show steps
Apply the principles of algebra to design an algorithm that solves a specific problem, fostering a deeper understanding of the interplay between the two disciplines.
Browse courses on
Algorithm Design
Show steps
Show steps
Show steps
- Identify a problem that can be solved using algebraic principles.
- Break the problem down into smaller, manageable steps.
- Develop a step-by-step algorithm using algebraic operations.
- Code the algorithm in a programming language.
- Test and debug the algorithm to ensure its functionality.
Develop an Algebra Glossary
Show steps
Create a comprehensive glossary that defines key algebraic terms and concepts, fostering a deeper understanding and reference tool.
Browse courses on
Algebra
Show steps
Show steps
Show steps
- Identify the essential terms and concepts covered in the course.
- Define each term clearly and concisely.
- Provide examples and illustrations to clarify the definitions.
- Organize the glossary alphabetically or by topic.
Career center
Learners who complete Algebra & Algorithms will develop knowledge and skills
that may be useful to these careers:
Mathematician
Mathematician
Mathematicians research and develop new mathematical theories and applications. This course provides a strong foundation in algebra, which is essential for understanding the theoretical underpinnings of mathematics.
Computer Scientist
Computer Scientist
Computer Scientists research and develop new computer technologies and applications. This course provides a foundation in algebra and algorithms, which are essential for understanding the theoretical underpinnings of computer science.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and statistical techniques to solve complex problems in business and industry. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in operations research.
Data Analyst
Data Analyst
Data Analysts use mathematical and statistical techniques to analyze data and identify trends and patterns. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in data analysis.
Financial Analyst
Financial Analyst
Financial Analysts use mathematical and statistical techniques to analyze financial data and make investment decisions. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in financial analysis.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematical and statistical techniques to analyze financial data and make investment decisions. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in quantitative finance.
Actuary
Actuary
Actuaries use mathematical and statistical techniques to assess risk and uncertainty. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in actuarial science.
Market Researcher
Market Researcher
Market Researchers use mathematical and statistical techniques to collect, analyze, and interpret data about consumer behavior. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in market research.
Business Analyst
Business Analyst
Business Analysts use mathematical and statistical techniques to analyze business data and make recommendations for improvement. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in business analysis.
Statistician
Statistician
Statisticians use mathematical and statistical techniques to collect, analyze, and interpret data. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in statistics.
Data Scientist
Data Scientist
Data Scientists use mathematical and statistical techniques to extract knowledge from data. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in data science.
Risk Manager
Risk Manager
Risk Managers use mathematical and statistical techniques to assess and manage risk. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in risk management.
Epidemiologist
Epidemiologist
Epidemiologists use mathematical and statistical techniques to study the causes and spread of disease. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in epidemiology.
Biostatistician
Biostatistician
Biostatisticians use mathematical and statistical techniques to analyze data in the field of biology. This course provides a strong foundation in algebra, which is essential for understanding the mathematical models used in biostatistics.
Software Engineer
Software Engineer
Software Engineers design, develop, test, and maintain computer software. This course provides a foundation in algebra and algorithms, which are essential for understanding the theoretical underpinnings of software design and development.
For more career information including salaries, visit:
OpenCourser.com/course/5ybsyi/algebra
Reading list
We've selected 14 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
Algebra & Algorithms.
Provides a comprehensive introduction to algebra, covering topics such as groups, rings, fields, and modules. It valuable resource for students who want to learn more about the foundations of algebra.
Provides a comprehensive introduction to algorithms, covering topics such as sorting, searching, graph algorithms, and dynamic programming. It valuable resource for students who want to learn more about the design and analysis of algorithms.
Provides a comprehensive introduction to algebraic geometry, covering topics such as schemes, varieties, and sheaves. It valuable resource for students who want to learn more about the foundations of algebraic geometry.
Save
Provides a comprehensive introduction to modern algebra, covering topics such as groups, rings, fields, and modules. It valuable resource for students who want to learn more about the foundations of modern algebra.
Provides a comprehensive introduction to algorithms and data structures, covering topics such as sorting, searching, graph algorithms, and dynamic programming. It valuable resource for students who want to learn more about the design and analysis of algorithms and data structures.
Provides a comprehensive introduction to computer algebra, covering topics such as polynomials, matrices, and Gröbner bases. It valuable resource for students who want to learn more about the applications of algebra to computer science.
Save
Provides a comprehensive introduction to category theory, covering topics such as categories, functors, and natural transformations. It valuable resource for students who want to learn more about the foundations of category theory.
Provides a comprehensive introduction to graph theory, covering topics such as graphs, trees, and matrices. It valuable resource for students who want to learn more about the foundations of graph theory.
Provides a comprehensive introduction to number theory, covering topics such as integers, primes, and factorization. It valuable resource for students who want to learn more about the foundations of number theory.
Provides a comprehensive introduction to set theory, covering topics such as sets, functions, and cardinals. It valuable resource for students who want to learn more about the foundations of set theory.
Provides a comprehensive introduction to topology, covering topics such as sets, functions, and topological spaces. It valuable resource for students who want to learn more about the foundations of topology.
Provides a comprehensive introduction to linear algebra, covering topics such as vectors, matrices, and determinants. It valuable resource for students who want to learn more about the foundations of linear algebra.
Provides a comprehensive introduction to calculus, covering topics such as derivatives, integrals, and differential equations. It valuable resource for students who want to learn more about the foundations of calculus.
Provides a comprehensive introduction to discrete mathematics, covering topics such as sets, functions, and graphs. It valuable resource for students who want to learn more about the foundations of discrete mathematics.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/5ybsyi/algebra
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Time
28 hours
Via
Coursera
Institution
Moscow Institute of Physics and Technology
Instructors
Дмитрий Ильинский
Alex Dainiak
Good to know
Focuses on how Algebra can impact modern computer science, specifically algorithms
Taught by recognized Algebra and algorithm design experts: Dmitry Ilyinsky and Alex Dainiak
Includes programming assignments to provide hands-on experience
Designed for both Computer Science and Mathematics students
Provides a unique perspective on the relationship between Algebra and algorithms
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