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Janani Ravi
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Builds a strong foundation for beginners who have no experience with numerical methods
Introduces direct and iterative numerical techniques for solving a wide range of mathematical problems
Provides hands-on experience with R programming for implementing numerical methods
Covers essential concepts such as graph algorithms, local search techniques, and linear programming
Led by instructors with expertise and experience in the field of numerical analysis
This course explicitly requires students to have a basic understanding of R programming

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Career center

Learners who complete Solving Problems with Numerical Methods will develop knowledge and skills that may be useful to these careers:
Operations Research Analyst
Operations Research Analysts use advanced analytical techniques to help organizations make better decisions. They may work on projects to improve efficiency, reduce costs, or increase productivity. This course can help prepare you for a career as an Operations Research Analyst by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Data Scientist
Data Scientists use data to solve problems and make predictions. They may work on projects to improve customer service, identify fraud, or develop new products. This course can help you prepare for a career as a Data Scientist by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Financial Analyst
Financial Analysts use financial data to make investment recommendations. They may work for investment banks, hedge funds, or other financial institutions. This course can help prepare you for a career as a Financial Analyst by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Actuary
Actuaries use mathematical and statistical techniques to assess risk. They may work for insurance companies, pension funds, or other financial institutions. This course can help prepare you for a career as an Actuary by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Software Engineer
Software Engineers design, develop, and maintain software applications. They may work for a variety of industries, including technology, finance, and healthcare. This course can help prepare you for a career as a Software Engineer by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical techniques to make investment decisions. They may work for investment banks, hedge funds, or other financial institutions. This course can help prepare you for a career as a Quantitative Analyst by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Market Researcher
Market Researchers collect and analyze data about consumer behavior. They may work for a variety of organizations, including marketing firms, product development companies, and government agencies. This course can help prepare you for a career as a Market Researcher by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Business Analyst
Business Analysts use data to solve business problems. They may work for a variety of organizations, including consulting firms, corporations, and government agencies. This course can help prepare you for a career as a Business Analyst by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Statistician
Statisticians collect, analyze, and interpret data. They may work for a variety of organizations, including government agencies, research institutions, and businesses. This course can help prepare you for a career as a Statistician by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Economist
Economists study the production, distribution, and consumption of goods and services. They may work for a variety of organizations, including government agencies, research institutions, and businesses. This course can help prepare you for a career as an Economist by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Mathematician
Mathematicians study the properties of numbers, shapes, and other mathematical objects. They may work for a variety of organizations, including universities, research institutions, and businesses. This course can help prepare you for a career as a Mathematician by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Computer Scientist
Computer Scientists design, develop, and analyze algorithms. They may work for a variety of organizations, including technology companies, financial institutions, and government agencies. This course can help prepare you for a career as a Computer Scientist by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Physicist
Physicists study the laws of nature. They may work for a variety of organizations, including universities, research institutions, and businesses. This course can help prepare you for a career as a Physicist by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Engineer
Engineers design, build, and maintain structures and systems. They may work for a variety of organizations, including construction companies, manufacturing companies, and government agencies. This course can help prepare you for a career as an Engineer by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience will be essential for success in this field.
Biologist
Biologists study living organisms. They may work for a variety of organizations, including universities, research institutions, and businesses. This course may be useful for a career as a Biologist by providing you with a strong foundation in numerical methods. You will learn how to solve problems using both direct and iterative techniques, and you will gain experience with a variety of numerical algorithms. This knowledge and experience may be helpful for success in this field.

Reading list

We haven't picked any books for this reading list yet.
Covers numerical methods for solving evolutionary differential equations, a topic of great importance in scientific computing. It is written by leading experts in the field.
Focuses on numerical methods for bifurcation problems, a specific area of differential equations where solutions change qualitatively as a parameter is varied. It is written by an expert in the field, with a focus on practical applications.
Presents numerical methods for stochastic differential equations, which are essential for modeling random phenomena in various fields. It is written by leading experts in the field and includes both theoretical background and practical algorithms.
Classic Russian textbook on numerical methods. It provides a comprehensive overview of the subject, from basic concepts to advanced techniques. It is suitable for both undergraduate and graduate students.
Is another classic Russian textbook on numerical methods. It focuses on the mathematical foundations of numerical methods and is suitable for advanced undergraduate and graduate students.
Is particularly well-suited for engineering and science students due to its strong emphasis on applications and its integration with MATLAB. It helps solidify understanding by demonstrating how numerical methods are used to solve practical problems. It's a popular textbook in applied fields.
Considered a classic in the field, this book provides a rigorous introduction to numerical analysis with a strong theoretical foundation. It's suitable for advanced undergraduates and graduate students looking to deepen their understanding of the mathematical underpinnings of numerical methods. While not the most recent, its depth and clarity make it a valuable reference.
Offers a balanced approach to numerical methods, covering both the theoretical aspects and computational implementation. It is well-regarded for its clear exposition and comprehensive coverage of topics typically found in undergraduate courses. It serves as a good textbook and reference for solidifying understanding.
A true classic in the field, this book emphasizes the 'why' behind numerical methods, focusing on gaining insight rather than just numbers. While older, its fundamental principles and unique perspective remain highly relevant and valuable for anyone seeking a deep understanding. It's more valuable as additional reading for historical context and foundational concepts.
Key resource for those wanting to deepen their understanding of numerical linear algebra, a critical component of many numerical methods. It covers both theoretical aspects and practical implementation, including the impact of modern computer architectures. It is well-suited for graduate students and researchers.
Is essential for understanding the crucial aspects of accuracy and stability in numerical computations. It delves into the potential pitfalls of floating-point arithmetic and provides rigorous analysis of algorithms. It's a must-read for anyone serious about the reliability of numerical methods, particularly at the graduate level and for professionals.
Provides a thorough introduction to finite difference methods, a fundamental technique for solving differential equations numerically. It valuable resource for students and researchers in computational science and engineering. It helps deepen the understanding of how numerical methods are applied to solve important classes of problems.
Offers a concise and insightful introduction to spectral methods, which are powerful techniques for solving differential equations. Its use of MATLAB makes it practical for implementation. It's suitable for graduate students and researchers interested in advanced numerical techniques. It provides a good entry point into a more specialized area of numerical methods.
Takes a broad view of computational science and engineering, integrating numerical methods with applications in various fields. It is known for its clear explanations and covers topics like linear algebra, differential equations, and optimization. It's valuable for gaining a broad understanding of how numerical methods fit into a larger computational context.
Is considered a classic introductory text in numerical analysis, known for its clear and comprehensive coverage of fundamental topics. While an older publication, the core concepts remain relevant and well-explained. It can be valuable for gaining a broad understanding and historical perspective.
Another classic in the field, Hildebrand's book offers a thorough treatment of traditional numerical analysis topics. It's a good resource for those seeking a deep understanding of the foundational methods. Like other classics, it's more for supplementary reading and historical context than a primary modern textbook.
Provides a rigorous and comprehensive treatment of numerical analysis, suitable for advanced undergraduate and graduate students. It delves into the mathematical theory behind the methods and strong resource for deepening understanding. It is often used as a textbook in mathematics departments.
Provides a comprehensive overview of numerical methods for solving partial differential equations. It good choice for students and researchers interested in learning about this specific topic.

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