Math 110 — Linear Algebra

Assignments are due on Thursday, at the beginning of class. The row that an assignment appears in is the day that it is due.

Blank spaces in the schedule are there because either (i) I haven't decided exactly what to do that day and/or (ii) I think that the earlier topics will require more time than allotted, and I'm saving those days as extra space.

  Date Topic Book Homework Practice Problems Tutorial Topic
Sept. 13 Introduction to the course §1.1   14, 16, 18, 20, 22  
15 Length, angle, dot product §1.2   17, 18, 32, 33, 61 Intro. to course
16 More about the dot product §1.2    
 
20 Lines and Planes §1.3 H1 .pdf   .ps   13, 18, 25, 26, 38  
22 Solving linear equations with matrices I §2.1-2 A1 .pdf   .ps   §2.1: 1, 3, 6, 9, 28 Dot product
23 Solving linear equations with matrices II §2.2   1, 2, 10, 11, 17, 19 T2 .pdf   .ps  
 
27 Solving linear equations with matrices III H2 .pdf   .ps     S2 .pdf   .ps  
29 Rank §2.2 A2 .pdf   .ps   23, 24, 40, 48 RREF
30 Linear combinations §2.3   1, 3, 5, 10, 11, 20 T3 .pdf   .ps  
 
Oct. 4 Functions and linear transformations §3.6 H3 .pdf   .ps   7 – 14 S3 .pdf   .ps  
6 More about linear transformations §3.6 A3 .pdf   .ps   3, 4, 5, 6 Lin. comb. and trans.
7 Some geometric linear transformations §3.6   36, 37, 38 T4 .pdf   .ps  
 
11 Matrix Products §3.1 5, 6, 11, 12, 17, 18 S4 .pdf   .ps  
13 Invertible functions §3.3 H4 .pdf   .ps   Compositions
14 Computing the inverse §3.3 A4 .pdf   .ps   48, 49, 52, 53, 54 T5 .pdf   .ps  
 
18 Catchup day §3.3   S5 .pdf   .ps  
20 Subspaces §3.5 H5 .pdf   .ps   1 – 8 Inverses
21 More subspaces §3.5 A5 .pdf   .ps   15, 16, 49, 50 T6 .pdf   .ps  
 
25 Basis and dimension I §3.5 17 – 20, 27, 28, 33 S6 .pdf   .ps  
27 Review for Midterm   H6 .pdf   .ps   Old midterm: .pdf   Finding Bases
28 Basis and dimension II §3.5 A6 .pdf   .ps   39 – 44 T7 .pdf   .ps  
 
Nov. 1 The kernel principle I     S7 .pdf   .ps  
3 The kernel principle II   H7 .pdf   .ps    
4 Kernel roundup   A7 .pdf   .ps   T8 .pdf   .ps  
 
8 An example     S8 .pdf   .ps  
10 Prime numbers   H8 .pdf   .ps     Review of Midterm
11 Modular arithmetic   A8 .pdf   .ps    
 
15 More modular arithmetic §1.4   20 – 31  
17 Linear algebra over finite fields §1.4 H9 .pdf   .ps   32, 33, 50 – 53 Modular arithmetic
18 Combinatorial problems §2.4 A9 .pdf   .ps   23 – 30 T10 .pdf   .ps  
 
22 Error correcting codes I §3.7   S10 .pdf   .ps  
24 Error correcting codes II H10 .pdf   .ps     Finite fields
25 Error correcting codes III   A10 .pdf   .ps    
 
29 Some Counting problems      
Dec. 1 More Counting   H11 .pdf   .ps     Review
2 Review for exam   A11 .pdf   .ps   T12 .pdf   .ps  
 
8   H12 .pdf   .ps     S12 .pdf   .ps  
  A12 .pdf   .ps      

Page last Modified Jan 3, 2006.