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Linear Algebra: Determinants and Eigenvalues

This course is part of Applications of Linear Algebra.

This advanced mathematics course explores fundamental concepts in linear algebra, focusing on determinants and eigenvalues. Students will learn to compute determinants using cofactor expansions, understand their application in measuring transformation effects, and master eigenvalue calculations. The course covers practical applications in computer graphics, discrete dynamical systems, and Markov chains. Special emphasis is placed on matrix decomposition, linear transformations, and their roles in various scientific and engineering applications. The curriculum follows Georgia Tech's MATH 1554 course structure, providing university-level instruction in these essential mathematical concepts.

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Instructors:

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Linear Algebra: Determinants and Eigenvalues

This course includes

3 Weeks

Of Self-paced video lessons

Intermediate Level

Completion Certificate

awarded on course completion

21,059

Audit For Free

What you'll learn

  • Compute and understand determinants using cofactor expansions

  • Calculate areas of regions under linear transformations

  • Master eigenvalue and eigenvector concepts and applications

  • Solve real-world problems using Markov chains

  • Apply matrix factorization techniques

  • Analyze complex eigenvalues and their implications

Skills you'll gain

Linear Algebra
Determinants
Eigenvalues
Matrix Operations
Markov Chains
Linear Transformations
Mathematical Modeling
Complex Numbers

This course includes:

PreRecorded video

Graded assignments, Exams

Access on Mobile, Tablet, Desktop

Limited Access access

Shareable certificate

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Module Description

This comprehensive course covers advanced topics in linear algebra, focusing on determinants and eigenvalues. Students learn to compute determinants using cofactor expansions, understand their applications in measuring transformation effects, and master eigenvalue calculations. The course emphasizes practical applications in computer graphics, discrete dynamical systems, and Markov chains. Key topics include matrix decomposition, linear transformations, and their applications in scientific and engineering contexts. The curriculum aligns with Georgia Tech's MATH 1554 coursework, providing rigorous mathematical training for students pursuing advanced studies in mathematics, engineering, or related fields.

Fee Structure

Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Applications of Linear Algebra

Instructor

Greg Mayer
Greg Mayer

4 Courses

A Pioneer in Mathematics Education and Distance Learning Innovation

Greg Mayer serves as Director of Online Learning and Academic Professional in the School of Mathematics at Georgia Tech, where he has established himself as an expert in distance education and mathematics instruction. His work encompasses teaching undergraduate level courses, supporting curriculum development initiatives, and advancing the Distance Mathematics Program which serves over 700 students from 90 high schools annually. After completing his PhD in Mathematics from the University of Waterloo and M.Ed. in Distance Education from Athabasca University, he has focused on developing innovative approaches to mathematics education, particularly in online and hybrid learning environments. His contributions include significant curriculum development in applied combinatorics, creation of distance education courses for advanced high school students, and research on teaching and learning activities within the School of Mathematics. His expertise spans synchronous online education, teaching assistant pedagogical practices, and interactive learning environments, with notable work in developing EdX courses in linear algebra and calculus. Beyond his teaching responsibilities, he provides administrative support for faculty and programs while conducting research on the effectiveness of online mathematics education, particularly focusing on advanced high school students in undergraduate courses. His commitment to educational innovation and continuous improvement has made him a valuable contributor to mathematics education at both the high school and undergraduate levels.

Linear Algebra: Determinants and Eigenvalues

This course includes

3 Weeks

Of Self-paced video lessons

Intermediate Level

Completion Certificate

awarded on course completion

21,059

Audit For Free

Testimonials

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Frequently asked questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.