Linear Algebra: Vectors and Linear Equations
This course is part of Mastering Linear Algebra.
This advanced mathematics course offers a thorough review of bachelor-level linear algebra, focusing on vectors and linear equations. Designed for engineering master's students and professionals, the course provides in-depth coverage of essential topics including vector operations, linear equations, subspaces, and orthogonality. Through the Grasple platform, students gain access to extensive practice exercises with immediate feedback. The course's modular structure allows focused study of specific topics while maintaining a rigorous pace suitable for review purposes. Perfect for those preparing for advanced studies in engineering fields such as computer graphics, machine learning, and quantum computing.
Instructors:
English
Arabic, German, English, 9 more
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What you'll learn
Apply vector operations including dot product and cross product calculations
Solve complex systems of linear equations and analyze solution sets
Evaluate vector linear dependence and independence
Work with linear subspaces using bases and coordinates
Perform orthogonal projections and decompositions
Apply least-square solutions to regression problems
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, Exams
Access on Mobile, Tablet, Desktop
Limited Access access
Shareable certificate
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There are 6 modules in this course
This comprehensive review course covers fundamental concepts in linear algebra essential for engineering and advanced mathematics. The curriculum progresses from basic vector operations and linear equations to more complex topics like linear subspaces and orthogonality. Students learn through a combination of theoretical understanding and practical application, with emphasis on solving systems of linear equations, understanding vector relationships, and applying concepts to real-world problems. The course features extensive practice through the Grasple platform, offering immediate feedback and personalized learning opportunities.
Vectors
Module 1 · 1 Weeks to complete
Linear Equations
Module 2 · 1 Weeks to complete
Linear Dependence
Module 3 · 1 Weeks to complete
Linear Subspaces
Module 4 · 1 Weeks to complete
Orthogonality
Module 5 · 1 Weeks to complete
Least Square Solutions
Module 6 · 1 Weeks to complete
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: Mastering Linear Algebra
Instructors
5 Courses
Expert in Complex Dynamics and Mathematics Education
Iris Smit serves as a Lecturer in Mathematics at TU Delft, bringing extensive experience in complex dynamics and mathematical education. After completing her studies in Los Angeles, she earned her PhD from the University of Amsterdam with research focusing on complex dynamics. Her academic journey included a postdoctoral position in Trondheim, Norway, before joining TU Delft. As a mathematics lecturer, she specializes in teaching calculus and linear algebra to engineering students across various disciplines. Her expertise extends to the development and programming of formative and summative exercises, enhancing the learning experience for engineering students. She has made significant contributions to mathematics education through her work in creating comprehensive course materials and innovative assessment methods
5 Courses
Expert in Applied Mathematics and Medical Physics
Marleen Keijzer serves as an Assistant Professor at the Delft Institute of Applied Mathematics, TU Delft, where she combines her passion for teaching with groundbreaking research in medical physics and optimization. Her diverse expertise spans radiative transfer, radiotherapy treatment planning, and multi-criteria optimization. After completing her pioneering PhD research on laser light distribution in human tissues, conducted across prestigious institutions including Harvard Medical School, MD Anderson Cancer Center, and Erasmus Medical Center, she developed significant contributions to Monte Carlo modeling of light transport in tissues
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Frequently asked questions
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