Calculus for the Modern Engineer by Jessy Grizzle (.PDF)
File Size: 38.5 MB
Calculus for the Modern Engineer: Math and Programming at the Scale of Life by Jessy Grizzle
Requirements: .PDF reader, 38.5 MB | True PDF
Overview: This book represents a radical departure from conventional approaches, inspire dby my experience developing and teaching the first-semester course ROB 101 Computational Linear Algebra. It aims to breathe life into mathematics through programming and realistic examples. In collaboration with my colleague Prof. Chad Jenkins, we reimagined the calculus curriculum, placing integration at the beginning of the learning process. This approach, starting with sums and progressing to integration, is not only more intuitive but also lends itself well to programming applications, such as calculating the change in position of mobile robots from velocity curves. Traditional calculus courses struggle to incorporate relevant, real-world examples. My colleagues in mathematics have been given an impossible job: present realistic examples in domains far from their fields of expertise. Students see right through this. The disconnect between mathematical theory and its real-world uses hinders the learning process and fails to fully engage students in the practical applications of calculus. A second core issue lies not in the examples used but in the selection of material and the overemphasis on lengthy, manual calculations that lack meaningful context. The prerequisites for this course are Linear Algebra and familiarity with the Julia programming language. Why Julia? This textbook proudly uses Julia for its computational elements, embracing its open-source nature and cost-free availability as fundamental to our commitment to accessibility. Unlike the commonly used MATLAB, which comes with substantial licensing fees, Julia ensures that all students, regardless of their university’s resources, can freely access state-of-the-art computational tools.
Genre: Non-Fiction > Educational
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