Lecture site:  MANDE B210 
Lecture times:  Monday, Wednesday, Friday. 3:00pm3:50pm. 
Discussion sessions 
B01: Tuesday 5:00p5:50p, AP&M B412 with Daniel Copeland
B02: Tuesday 6:00p6:50p, AP&M B412 with Daniel Copeland B03: Tuesday 7:00p7:50p, AP&M B412 with Geoff Ganzberger B04: Tuesday 8:00p8:50p, AP&M B412 with Geoff Ganzberger 
Final Exam time and place 
December 15th, 2017, 3:00pm  5:59pm. MANDE B210 and MANDE B150. Please go to your assigned room on the day of the exam. 
Instructor 
Martin Licht
Email: mlicht AT ucsd DOT edu Office: AP&M 5880E Hours: Monday, Wednesday, Friday. 1:50  2:50pm. 
Teaching Assistant 
Daniel Copeland
Email: drcopela AT ucsd DOT edu Office: SDSC 292E Hours: Wednesday 10:15  11:45am, 12:30pm  2pm. 
Teaching Assistant 
Geoff Ganzberger
Email: gganzber AT ucsd DOT edu Office: AP&M 6452 Hours: Tuesday 67pm, Wednesday 57pm, at Muir Woods coffee shop. 
Sections  916960, 916961, 916962, 916963 
Course content  Second course in linear algebra from a computational yet geometric point of view. Elementary Hermitian matrices, Schur's theorem, normal matrices, and quadratic forms. MoorePenrose generalized inverse and least square problems. Vector and matrix norms. Characteristic and singular values. Canonical forms. Determinants and multilinear algebra. 
expected previous knowledge  The students are expected to be familiar with the basic concepts of matrix and vector arithmetics, basic knowledge in matrix inversion, and Gaussian elimination. 
Resources recommended in addition 

Formal prerequesite  Math 18 or Math 20F or Math 31AH, and Math 20C, or consent of instructor. 
Credit Hours:  4 units 
Homework information  Homework will announced on Fridays after lecture. Homework can be submitted to the mailboxes or on Fridays before the lecture, and must be handedin in handwritten form. 
Academic Integrity  Every student is expected to conduct themselves with academic integrity. Violations of academic integrity will be treated seriously. See http://wwwsenate.ucsd.edu/manual/Appendices/app2.htm for UCSD Policy on Integrity of Scholarship. 
Lecture  Content 

# 0, 0F 29.09.2017. 
Introduction. Review of Vector Arithmetics. [Leon Ch.1] 
# 1, 1M 02.10.2017. 
Review of Vector Arithmetics. Matrices. [Leon Ch.1] 
# 2, 1W 04.10.2017. 
MatrixVector Product and Matrix Multiplication. [Leon Ch.1] 
# 3, 1F 06.10.2017. 
Matrices. Some Examples from Applications. [Leon Ch.1] 
# 4, 2M 09.10.2017. 
Matrix Inverse. [Leon Ch.1] 
# 5, 2W 11.10.2017. 
Elementary Matrices. Equivalent Conditions for Invertibility. 
# 6, 2F 13.10.2017. 
Remarks about triangular matrices. Fields in Algebra with Examples. 
# 7, 3M 16.10.2017. 
Complex Numbers. 
# 8, 3W 18.10.2017. 
Complex Numbers. 
# 9, 3F 20.10.2017. 
First Midterm 
#10, 4M 23.10.2017. 
Further Examples for Fields and their Properties. 
#11, 4W 25.10.2017. 
Finite Fields. 
#12, 4F 27.10.2017. 
Finite Fields. Introduction to Determinants. [Leon, Ch.2] 
27.10.2017: Deadline to change grading option, change units, and drop classes without "W" grade on transcript.  
#13, 5M 30.10.2017. 
Determinants. Laplace expansion. [Leon, Ch.2] 
#14, 5W 01.11.2017. 
Permutations. 
#15, 5F 03.11.2017. 
Determinants via Permutations. 
#16, 6M 06.11.2017. 
Laplace expansion revisited. [Leon, Ch.2] 
#17, 6W 08.11.2017. 
Determinants of elementary matrices. Product formula. [Leon, Ch.2] 
#18, 6F 10.11.2017. 
Veteran's Day Holidary 
#19, 7M 13.11.2017. 
Cramer's rule. Classical adjunct matrix. [Leon, Ch.2] 
#20, 7W 15.11.2017. 
Vector Spaces and Compositions [Leon, Ch. 3 + 4.1] 
#21, 7F 17.11.2017. 
Vector Spaces and Compositions [Leon, Ch. 3 + 4.1] 
#22, 8M 20.11.2017. 
Second Midterm 
#23, 8W 22.11.2017. 
Review of Material. 
#24, 8F 24.11.2017. 
Thanksgiving Holiday (Friday). 
#25, 9M 27.11.2017. 
Kernel and Range of a Linear Mapping. Linear Combinations. [Slides] [Slides] 
#26, 9W 29.11.2017. 
More Results on Linear Combinations and Bases. Dimension. Basis Transformations. [Slides] [Slides] 
#27, 9F 01.12.2017. 
Row and Column Space. [Slides] 
01.12.2017: Deadline to with "W" grade on transcript.  
#28,10M 04.12.2017. 
Similarity Transformations of Matrices. Eigenvalues and Eigenvectors. [Slides] [Slides] 
#29,10W 06.12.2017. 
Eigenvalues and Eigenvectors. Continued. 
#30,10F 08.12.2017. 
Diagonalization. [Slides] 
FI 15.12.2017. 
Final Exam. 3:00pm  5:59pm. MANDE B210 and MANDE B150 