MATH 2310: Linear Algebra with Applications
Instructor: Andrei Minchenko
General information. Click here for the course syllabus.
Contents of the course.
For the majority of lectures online notes are available. However, sometimes I go beyond the material presented there. Specifically, discussed applications are usually not reflected in these notes.
- Lectures 1-7 (August 28 - September 11). Introductory lectures based on the first chapter of the book.
Key notions: linear systems, matrices, matrix multiplication, echelon form, elementary transformations.
- Lecture notes by the date:
Sep 14 (Transformation of a matrix to a row echelon form),
Sep 16 (Solving linear systems),
Sep 18 (Elementary matrices and their products),
Sep 21 (Finding the inverse of a matrix),
Sep 23 (Column transformations and equivalent matrices),
Sep 28 (Determinants of matrices),
Sep 30 (Determinants of transformed matrices),
Oct 5 (Cofactor expansion and other properties of determinants),
Oct 7 (Formula for the inverse of a matrix and Cramer's rule),
Oct 9 (Application of determinants to computing areas, pp.160-163 of the book),
Oct 14,16 (Vector spaces),
Oct 19,21 (Span),
Oct 23,26 (Basis and dimension),
Oct 28 (Coordinates and isomorphisms),
Oct 30 (Transition matrix),
Nov 2 (Rank of a matrix),
Nov 4 (Review of Chapters 3 and 4 of the book),
Nov 6 (Length and direction in plane and space, pp.290-297 of the book),
Nov 9 (Properties of dot product),
Nov 11,13 (Inner product spaces),
Nov 16 (Orthogonal complements and projections),
Nov 18 (Linear transformations),
Nov 20 - Dec 4 (Matrices of linear transformations, eigenvalues and eigenvectors).
Homework section. Homeworks are to be submitted every other Friday (sometimes Monday). If you can't do this in class, hand me it in earlier or, if I am not in the office (Malott 408), slide it under my door. Graded homeworks and quizes can be picked up from the box in front of my office. Here are the homework assignments due
Sep 11 ,
Sep 25 ,
Oct 9,
Oct 23 ,
Nov 9 ,
Nov 23 ,
Dec 4.
Quizes and Exams. Quiz (October 2, Friday; review: September 25).
Take-home exam (Nov 9 - Nov 16,
solutions).
The final exam will be held on December 10, at 7pm, in Malott 253. Practice final and solutions are available via the link below.
Links. Homepage for another MATH 2310 class.
For questions and comments email me andreim@math.cornell.edu or call (607) 255-4640.
Last modified: December 11, 2009 |