The lecture is based on the book "Numerical Linear Algebra" by L. N. Trefethen. 

#01: This video covers L1.
#02: This video covers L2 and L3.
#03: This video covers L4 and L5 (first part).
#04: This video covers L5 (continued) and L6.
#05: This video covers L7.
#06: This video covers L8 and L10 (first part).
#07: This video covers L10 (continued) and L11 (first part).
#08: This video covers L11 (continued) and L12.
#09: This video covers L12 (continued) and L14.
#10: This video covers L15, L16 and L17 (first part).
#11: This video covers L17 (continued) and L18 (first part).
#12: This video covers L18 (continued) and L19.
#13: This video covers L13 (first part).
#14: This video covers L13 (continued), L20 and L21.
#15: This video covers L21 (continued) and L22.
#16: This video covers L23 and L24 (first part).
#17: This video covers L27 (continued) and L28 (first part).
#18: This video covers L28 (continued) and L29 (first part).
#19: This video covers L29 (continued) and nested dissection (first part).
#20: This video covers nested dissection (continued).
#21: This video covers L32 and L33 (first part).
#22: This video covers L33 (continued) and L34.
#23: This video covers L34 (continued) and L35.
#24: This video covers L35 (continued) and L36.
#25: This video covers L36 (continued) and L38.
#26: This video covers L38 (continued), L39 and L40.
#27: This video contains a bonus lecture about nested dissection.
#28: This video contains a bonus lecture about Eigenvalue problems.
#29: This video contains a bonus lecture about Rayleigh quotient and inverse iteration.
#30: This video contains a bonus lecture about other Eigenvalue algorithms.