Systems of equations, matrices, determinants, vectors, and geometry of straight lines and planes in the 3-space
InstructorHania Uscka-WehlouThe structure links algebraic solutions to geometric entities, such as the intersection of lines and planes in 3-space.
Instruction utilizes professional video editing and detailed slides to provide background material that aids comprehension of new concepts.
Editorial course preview
These 4 complementary views highlight concrete, legible examples from the course presentation.
A course slide presenting vector addition and subtraction problems with a coordinate plane diagram and a small presenter video inset.
A lecture slide presenting two systems of linear equations alongside geometric plane diagrams, a reduced row echelon form matrix, and handwritten solution steps.
A lecture slide displaying the dot product formula and handwritten solutions for calculating the angle between vectors, with a small webcam inset of the presenter.
A white slide showing a mathematical proof that an invertible matrix has a non-zero determinant, featuring matrix equations and highlighted text.
Modules apply linear systems to various fields including calculus, chemistry, and electrical circuits.
The depth of the material may feel too lengthy for those only needing to cover specific requirements for AI or machine learning.
One signal suggests that additional practice problems could be beneficial to supplement the existing examples.
The curriculum aligns with the target of engineering students through its focus on systems and geometry.
Free
