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Vitthal Srinivasan

Optimization is all about smart trade-offs given difficult choices. This course focuses on three specific aspects of numerical optimization: correctly setting up optimization problems, linear programming, and integer programming.

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Optimization is all about smart trade-offs given difficult choices. This course focuses on three specific aspects of numerical optimization: correctly setting up optimization problems, linear programming, and integer programming.

Many optimization problems are conceptually similar to software design patterns - they are generally usable techniques that help with commonly recurring problems. In this course, Understanding and Applying Numerical Optimization Techniques, you'll first learn about framing the optimization problem correctly. Correctly framing the problem is the key to finding the right solution, and is also a powerful general tool in business, data analysis, and modeling. Next, you'll explore linear programming. Linear programming is a specific type of optimization used when the problem can be framed purely in terms of linear (straight line) relationships. Finally, you'll wrap up this course learning about integer programming. Integer programming is similar to linear programming, but it involves adding conditions that our variables be integers. This occurs very often in the real world, but the math of solving these problems is quite a bit more involved. By the end of this course, you will have a good understanding of how numerical optimization techniques can be used in data modeling, and how those models can be implemented in Excel, Python, and R.

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Syllabus

Course Overview
Introducing Numerical Optimization
Understanding Linear Programming
Implementing Linear Programming in Excel
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Implementing Linear Programming in R
Implementing Linear Programming in Python
Understanding Integer Programming
Implementing Integer Programming in Excel
Implementing Integer Programming in R
Implementing Integer Programming in Python

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Teaches numerical optimization techniques, which are fundamental for data modeling
Provides hands-on experience in implementing linear and integer programming in Excel, Python, and R
Develops problem-solving skills and analytical thinking in the context of optimization problems
Suitable for students with a background in mathematics or computer science

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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 Understanding and Applying Numerical Optimization Techniques with these activities:
Review optimization book by Boyd
Simplify the challenging concepts in the course by reviewing key details from this introductory book on optimization.
Show steps
  • Read first 2 chapters
  • Summarize main concepts
  • Answer end of chapter questions
Seek guidance from experienced professionals in optimization
Enhance learning and career prospects by connecting with experienced professionals who can provide valuable insights and support.
Browse courses on Optimization
Show steps
  • Identify potential mentors
  • Reach out and introduce yourself
  • Set up regular meetings
  • Prepare questions and actively engage in discussions
Develop a visual representation of optimization concepts
Strengthen understanding of optimization concepts by creating visual aids, such as flowcharts or diagrams, that illustrate key relationships.
Browse courses on Optimization
Show steps
  • Identify key concepts and relationships
  • Choose appropriate visual representation
  • Create and refine visual aid
  • Share and discuss with peers
Five other activities
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Show all eight activities
Follow Pluralsight tutorials on linear programming
Close knowledge gaps and enhance understanding of linear programming with the help of step-by-step video tutorials.
Browse courses on Linear Programming
Show steps
  • Find relevant tutorials on Pluralsight
  • Take notes while watching videos
  • Implement example code
  • Review key concepts
Attend workshop on applications of optimization techniques
Expand practical knowledge of optimization techniques by attending a hands-on workshop focused on real-world applications.
Browse courses on Optimization
Show steps
  • Research and identify relevant workshops
  • Register and attend the workshop
  • Actively participate in exercises and discussions
  • Follow up with instructors or mentors
Network with professionals at industry conferences
Expand your professional network and learn about the latest trends in optimization by attending industry conferences and connecting with professionals in the field.
Browse courses on Optimization
Show steps
  • Research and identify relevant conferences
  • Prepare and practice your elevator pitch
  • Attend the conference and actively participate in sessions
  • Follow up with new connections
Practice solving integer programming problems
Become proficient in solving integer programming problems by actively practicing with various scenarios and challenges.
Browse courses on Integer Programming
Show steps
  • Find online practice problems
  • Solve problems using different techniques
  • Analyze solutions and identify areas for improvement
  • Participate in online forums or study groups
Contribute to open-source projects related to optimization
Enhance your understanding of optimization algorithms and contribute to the community by participating in open-source projects.
Browse courses on Optimization
Show steps
  • Identify open-source projects aligned with your interests
  • Familiarize yourself with the project code and documentation
  • Identify areas where you can contribute
  • Propose and implement changes

Career center

Learners who complete Understanding and Applying Numerical Optimization Techniques will develop knowledge and skills that may be useful to these careers:
Financial Analyst
As a Financial Analyst, you will be advising clients on how to make optimal use of their resources, such as investment, borrowing, and saving money. You will need a strong understanding of mathematical and statistical models to derive optimal solutions, which is what you will learn in this course. The course will also teach you how to implement these models in various software programs, which will be useful for you in your day to day job.
Actuary
As an Actuary, you will use your knowledge of probability, statistics, and other mathematical techniques to assess risk and recommend financial decisions. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Operations Research Analyst
As an Operations Research Analyst, you will be using advanced analytical techniques to help organizations make better decisions. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Data Scientist
As a Data Scientist, you will be responsible for collecting, analyzing, and interpreting large amounts of data to extract meaningful insights. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Management Consultant
As a Management Consultant, you will be helping organizations to improve their performance by providing them with advice on how to make better decisions. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Statistician
As a Statistician, you will be responsible for collecting, analyzing, and interpreting data to extract meaningful insights. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Quantitative Analyst
As a Quantitative Analyst, you will be using mathematical and statistical models to analyze financial data and make investment decisions. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Software Engineer
As a Software Engineer, you will be responsible for designing, developing, and maintaining software applications. This course will help you to develop the mathematical and statistical skills that are essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Market Researcher
As a Market Researcher, you will be responsible for conducting research to understand consumer behavior and market trends. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Data Analyst
As a Data Analyst, you will be responsible for collecting, analyzing, and interpreting data to extract meaningful insights. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Business Analyst
As a Business Analyst, you will be responsible for analyzing business processes and identifying opportunities for improvement. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Financial Planner
As a Financial Planner, you will be helping clients to manage their finances and plan for the future. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Risk Analyst
As a Risk Analyst, you will be responsible for identifying and assessing risks that could impact an organization. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Auditor
As an Auditor, you will be responsible for examining an organization's financial records to ensure that they are accurate and compliant with regulations. This course will help build a foundation of mathematical and statistical knowledge that is essential for success in this field. You will also learn how to implement these techniques in various software programs, which will be useful for you in your day to day job.
Economist
As an Economist, you will be responsible for studying economic data and trends to make predictions about the future. This course may be useful for you in the context of developing economic models.

Reading list

We've selected 13 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 Understanding and Applying Numerical Optimization Techniques.
This introductory textbook provides readers with a comprehensive overview of the field of operations research, including theory, techniques, and applications.
This textbook provides a comprehensive introduction to the theory and applications of linear programming and network flows, two fundamental topics in operations research.
This textbook provides a detailed treatment of integer programming, a powerful optimization technique used in a wide range of applications, including logistics, finance, and engineering.
This textbook provides a practical introduction to integer programming, with a focus on modeling and solution techniques for real-world problems.
This textbook provides a comprehensive treatment of convex optimization, a powerful technique used in a variety of applications, including machine learning, signal processing, and finance.
This textbook provides a comprehensive introduction to stochastic programming, a powerful optimization technique for problems involving uncertainty.
This textbook provides a comprehensive introduction to optimization techniques used in operations research, with a focus on practical applications.
This textbook provides a comprehensive introduction to integer and combinatorial optimization.
This textbook provides a comprehensive introduction to convex analysis and optimization.
This textbook provides a comprehensive introduction to optimization algorithms.

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