Class notes for Math 1410

I won't always use slides for Math 1410, but when I do, I'll post them here.

Chapter 3: Vector Geometry

• January 7: welcome; review of real numbers. (PDF)
• January 9: introduction to vectors. (PDF)
• January 14: dot products. (PDF)
• January 16: cross products, and lines. (PDF)
• January 21: lines and planes. (PDF)
• January 23: planes, distances, and intersections. (PDF)

Chapter 4: Systems of Equations

• January 28: Introduction to linear systems. (PDF)
• February 4: Gaussian elimination (PDF)
• February 6: Solving systems (PDF)
• February 11: Vector solutions and matrices (PDF)

Chapter 5: Matrix Algebra

• February 13: Matrix algebra (PDF)
• February 25: Matrix inverses (PDF)

Chapter 6: Matrix Transformations

• February 27: Matrix transformations (PDF)
• March 3: Matrix transformations, part deux (PDF)

Chapter 7: Transpose, Trace, and Determinant (but mostly determinants)

• March 10: Transpose, trace, and determinants (PDF)
• March 12: Computing determinants (PDF)
• March 19: Properties and applications of determinants (PDF) (annotated PDF)

A brief interlude on complex numbers

March 24: complex numbers. (PDF only) (annotated PDF)

Chapter 8: Eigenvalues and Eigenvectors

• March 26: Finding eigenvalues and eigenvectors. (PDF only) (annotated PDF)
• March 31: Properties of eigenvalues and eigenvectors. (PDF only) (annotated PDF)
• April 2: Diagonalization. (Print out of OneNote file used for video lecture.)

Note: there was no class on March 17 due to the COVID-19 pandemic. Classes resumed on March 19 using remote delivery. Slides will continue to be posted as usual, and delivered using YouTube live.