Introduction to Linear Algebra Essentials
Master fundamental concepts of linear algebra: vectors, matrices, and transformations. Ideal for STEM students and professionals.
Master fundamental concepts of linear algebra: vectors, matrices, and transformations. Ideal for STEM students and professionals.
This comprehensive course offers a deep dive into the essential concepts of linear algebra, a foundational pillar of modern mathematics. Designed for intermediate-level learners, the course covers key topics such as geometric vectors, matrix operations, determinants, eigenvalues, and linear transformations. Through four engaging modules, students will develop crucial mathematical skills applicable to various fields including physics, engineering, and computer science. The course balances theoretical understanding with practical applications, ensuring a thorough grasp of linear algebra principles and their relevance in solving real-world problems.
4.9
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What you'll learn
Understand and manipulate geometric vectors in two and three dimensions
Master matrix operations and their applications in solving systems of linear equations
Comprehend the theory of determinants and their properties
Grasp eigenvalue concepts and apply diagonalization techniques
Explore linear transformations and their representations as matrices
Apply linear algebra concepts to real-world problems in various scientific fields
Skills you'll gain
This course includes:
11.2 Hours PreRecorded video
28 quizzes
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FullTime access
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There are 4 modules in this course
This comprehensive linear algebra course covers the fundamental concepts and techniques essential for understanding vector spaces, linear transformations, and matrix operations. The curriculum is structured to provide a deep understanding of geometric vectors, systems of linear equations, matrix arithmetic, determinants, eigenvalues, and eigenvectors. Students will explore applications in various fields, including computer graphics, data analysis, and quantum mechanics. The course emphasizes both theoretical foundations and practical problem-solving skills, preparing learners for advanced studies in mathematics, physics, engineering, and computer science.
Week 1 - Geometric Vectors in the Plane and in Space
Module 1 · 11 Hours to complete
Week 2 - Lines and Planes in Space and Systems of Linear Equations
Module 2 · 8 Hours to complete
Week 3 - Matrix Arithmetic and the Theory of Determinants
Module 3 · 7 Hours to complete
Week 4 - Eigentheory and Diagonalisation
Module 4 · 9 Hours to complete
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Instructor
Advancing Mathematics Education and Research
David Easdown is an Associate Professor of Mathematics at the University of Sydney's School of Mathematics and Statistics, within the Faculty of Science. He is dedicated to developing undergraduate mathematics courses across all years and levels, with a recent focus on bridging secondary and tertiary education. Actively supervising honours and postgraduate students in various topics related to pure mathematics and mathematics education, David's primary research interests include algebra and mathematics education. His latest algebra research delves into permutation group theory and combinatorial semigroup theory. In mathematics education, he investigates the applications of threshold concepts and the SOLO taxonomy to design and implement innovative assessment methods. David has published extensively, including his widely used textbook, A First Course in Linear Algebra, available through Pearson Education Australia, which serves students both in Australia and internationally.
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4.9 course rating
17 ratings
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