How does the design of our programs affect their speed and accuracy? • Learn about floating-point round-off error • Learn about computational complexity • Examine the divide-and-conquer design approach

Why is the history of computation so tied with mathematics? How are computers used today to solve mathematical problems?

• Understand the need for computers to solve mathematical pro
blems
• Understand the problems for which...

How can we extend our programs to use multiple cores? Why would we want to? What limitations might exist?

• Learn the different kinds of parallel architec
tures
• Learn about strong scaling and Am
dahl’s law
• Learn about...

How can we use the compiler to automatically speed up our programs?<br/>
• Learn about the basic -O op<br/>timizations
• See how -Ofast-math can squeak out eve<br/>n better optimizations
• See why -Of<br/>ast-math isn’t enabled by default

How are real numbers stored and manipulated? How does this affect our program’s performance? • Learn how the IEEE-754 standard defines floating-point storage • Learn the range of floating-point numbers • See how we can go beyond this...

How can we design our programs to take the most advantage of modern CPU design? • Learn about caching • Learn about branch prediction and speculative execution • Stay out of the way of the CPU and compiler!

How can we calculate integrals with a computer? How can we solve differential equations? • Calculate integrals with the trapezoid and Simpson’s rule • See how the error terms scale with different algorithms • Solve differential equations...

This section is for absolute beginners, so if you have a background in computer science or you have programmed in another language.
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This clip is from the chapter "Quick Intro To Computer Basics" of the series "Learn and...

Computer engineering is the combination of electrical engineering and computer science. Computer engineering majors will take basic circuit analysis classes where they will learn about voltage and current in...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...

Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine...