Linear Algebra & Calculus Tutorial by Jason Lachniet
Linear Algebra & Calculus Tutorial - Table of Contents
1. Basic Operation
2. Matrices and Linear Systems
3. Calculus
4. Eigenvalue Problems
5. Additional Topics
6. Applied Projects
A. MATLAB Compatibility
B. List of Octave Commands
What You Will Learn in Linear Algebra & Calculus Tutorial
"A Brief Tutorial for Linear Algebra and Calculus Students" by Jason Lachniet is a concise and practical guide designed to help students use "GNU Octave" as a learning tool alongside undergraduate "Linear Algebra" and "Calculus" courses. Rather than focusing only on theory, the book introduces computational thinking, allowing students to explore mathematical ideas through hands-on experiments and simple code examples. Its clear language makes it suitable even for readers with no prior programming experience.
The book covers essential Octave skills such as working with vectors, matrices, plots, and basic scripts, and then applies these tools to core topics in calculus and linear algebra. Students learn how to solve systems of equations, visualize functions, explore eigenvalues, perform numerical integration, and experiment with real-world applications. This practical approach helps bridge the gap between abstract mathematics and "Numerical Computing", making concepts easier to understand and apply.
Published as an "Open-source" educational resource, the book is freely available and widely used as a supplement in mathematics, engineering, and science courses. It is especially valuable for students and instructors looking for a cost-free, application-oriented companion to traditional textbooks, emphasizing learning by doing rather than rote computation.
Book Details & Specifications
Title:
Linear Algebra & Calculus Tutorial by Jason Lachniet
Publisher:
Jason Lachniet
Year:
2017
Pages:
182
Type:
PDF
Language:
English
ISBN-10 #:
0359329640
ISBN-13 #:
978-0359329649
License:
CC BY-SA 4.0
Amazon:
Amazon
About the Author: Jason Lachniet
The author
Jason Lachniet
is a mathematics educator with experience teaching undergraduate-level "Linear Algebra" and "Calculus". He is affiliated with "Wytheville Community College", where his academic work emphasizes clarity, accessibility, and practical understanding of mathematical concepts. His background in teaching helps him present complex ideas in a way that is approachable for students at the early university level. As the author of "A Brief Tutorial for Linear Algebra and Calculus Students", he focuses on making abstract mathematics easier to understand through structured explanations and applied problem-solving. His work reflects a strong commitment to "Mathematics Education" and "Open Educational Resources", supporting students and instructors with freely available, academically sound learning materials.
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