Math 4330, Honors Linear Algebra

Fall 2019, Cornell University

The due date for most homeworks will be Wednesday in class.
Week Topics Homework Due Date
August 28 - 30 Notes on Row Reduction and Fields

pages 1 - 32 in Textbook

HW1.pdf September 6
Septmeber 3 - 6 Notes on Useful Definitions, Vector Space and Subobjects

pages 33 - 40 in Textbook

HW2.pdf September 11
Septmeber 9 - 13 Notes on Direct Sums and Products

pages 40 - 56 in Textbook

HW3.pdf September 18
Septmeber 16 - 20 Notes on Equivalence Relations and Quotient Spaces

pages 87 - 94 in Textbook

HW4.pdf September 25
Septmeber 23 - 27 Notes on Universal Mapping Properties and Basis

pages 65-68 in Textbook

No Homework  
Septmeber 26 - October 7 Take Home Exam Prelim1.pdf October 7
Septmeber 30 - October 4 Notes on Matrix of Linear Transformations

pages 72 - 79 in Textbook

HW5.pdf October 11
October 7 -11 Notes on Dual Spaces

pages 94-106 in Textbook

No Homework  
October 14 - 15 Fall Break    
October 16 - 18 Notes on Rings

pages 18 - 29 in Textbook

HW6.pdf October 23
October 21 - 25 Notes on Modules and Modules over PID

pages 109 - 159 in Textbook

HW7.pdf October 30
October 28 - November 1 Notes on Modules over PID

pages 109 - 184 in Textbook

HW8.pdf November 6
November 4 - 8 Eigenvalues and Eigenvectors, Inner Product Spaces

pages 185 - 226 in Textbook

No Homework  
November 8 - 18 Take Home Exam Prelim2.pdf November 18
November 11 - 15 Inner Product Spaces, Hilbert Spaces

pages 205 - 254 in Textbook

No Homework  
November 18 - 22 Normal Operators and Spectral Theory, Singular Value Decompsition

pages 227-254; 325-352 and 443-450 in Textbook

No Homework  
November 25 - 26 Notes on Tensor Products

pages 355 - 410 in Textbook

HW9.pdf December 4
November 27 - 29 Thanksgiving Break    
December 2 - 6 Notes on Tensor Products and Exterior Products

pages 355 - 410 in Textbook

No Homework  
December 6 - 14 Take Home Exam Final.pdf December 14