Math 22 - Summer 2012

Dartmouth College

home          general information       syllabus                homework            office hours          professor

The latest homework will always appear on top.

The homework consists of the following:

• Daily reading homework due at the beginning of class.
• Weekly written assignments as indicated below.

The lecture notes distributed in class can be found here: Lecture Notes

Please hand-in a separate set for each day.

I distributed the following guide to writing proofs in class, here it is: On Writing Proofs

 Monday, August 20: Practice problems for Sec. 7.4 # 5, 7, 9, 11, 13, 15 Final is on Sunday August 26 in KH 008 at 11:30 AM

 Thursday, August 16: Slides for PCA application Eigenfaces for Recognition
 Wednesday, August 15: Read Review all the definitions. Graded assignment  (for Monday, August 20) Final Assignment: Proof Problems
 Monday, August 13: Read Sections 7.1 Practice problems   7.1: # 12, 25, 26, 27 Graded assignment  (for Monday, August 20) 7.1: # 18, 22, 28, 30, 32
 Friday, August 10: Read Sections 6.4 Practice problems   6.4: # 13, 17, 18, 19 Graded assignment  (for Monday, August 20) 6.4: # 6, 10, 16, 20, 22 Problems on PageRank: Extra Exercises

 Wednesday, August 8: Read Sections 6.3 Practice problems   6.3: # 2, 21, 22, 23 Graded assignment  (for Monday, August 13) 6.3: # 6, 10, 12, 14, 18, 20, 24
 Monday, August 6: Read Sections 6.2 Practice problems   6.2: # 6, 23, 24, 27, 33 Graded assignment  (for Monday, August 13) 6.2: # 10, 12, 14, 16, 22, 26, 28
 Friday, August 3: Read Sections 5.3 and 6.1 Practice problems   5.3: # 26, 29 6.1: # 6, 19, 20, 23, 25, 27 Graded assignment  (for Monday, August 13) 5.3: # 28 6.1: # 14, 24, 26, 28, 30, 31

 Wednesday, August 1: Read Sections 5.2 and 5.3 Practice problems   5.2: # 2, 3, 6, 15, 17, 19, 21, 22 5.3: # 4, 21, 22, 23, 24, 25 Graded assignment  (for Monday, August 6) 5.2: # 12, 14, 18, 23, 24 5.3: # 6, 12, 18
 Monday, July 30: Read Sections 5.1 Practice problems   5.1: # 2,4,6, 8, 19, 21, 22, 23, 31 Graded assignment  (for Monday, August 6) 5.1: # 10, 14, 20, 25, 27, 29 Additional Graded problems: Matrix of a linear transformation
 Friday, July 27: Read Sections 4.6 and 4.7 Practice problems   4.6: # 13, 17, 18, 20, 27, 29 4.7: # 2, 11, 12 Graded assignment  (for Monday, August 6) 4.6: # 14, 16 4.7: # 4, 6, 10, 14 Additional Graded problems: Rank Theorem for linear transformations

 Wednesday, July 25: Read Sections 4.5 and 4.6 Practice problems   4.5: # 7, 8, 9, 19, 20, 25, 29, 30, 31 Graded assignment  (for Monday, July 30) 4.5: # 21, 23, 26, 32 4.6: # 2, 4, 8, 12
 Monday, July 23: Read Sections 4.4 and 4.5 Practice problems   4.4: # 10, 11, 15, 16, 17, 19, 21, 28, 31 Graded assignment  (for Monday, July 30) 4.4: # 14, 23, 24, 32 4.5: # 6, 12, 14 Proof problem:  (for Monday, July 30) 4.4: # 25
 Friday, July 20: Read Sections 4.3 and 4.4 Practice problems   4.3: # 3,5, 10, 19, 21, 22, 23, 25, 29, 30 Graded assignment  (for Monday, July 30) 4.3: # 14, 16, 31 4.4: # 4, 8, 10, 12 Proof problem:  (for Monday, July 30) 4.3: # 32

 Wednesday, July 18: Read Sections 4.2 and 4.3 Practice problems   4.2: # 5, 7, 18, 25, 26, 33 Graded assignment  (for Monday, July 23) 4.2: # 4, 10, 28, 30, 32 4.3: # 4, 11, 23
 Monday, July 16: Read Sections 4.1 Practice problems   4.1: # 2, 13, 23, 24 Graded assignment  (for Monday, July 23) 3.2: # 33, 36 4.1: # 8, 12, 14, 22, 32
 Friday, July 13: Read Sections 3.1 and 3.2 Practice problems   3.1: # 4, 11, 22, 39, 40 3.2: # 2, 4, 6, 15, 19, 27, 28, 33 Graded assignment  (for Monday, July 23) 3.1: # 14 3.2: # 8, 22, 24, 29, 31, 32 Proof problem:  (for Monday, July 23) Read the section on ``Proof by induction" on the On Writing Proofs pdf document linked above and use induction to prove that the determinant of every n X n upper triangular matrix is the product of the main diagonal entries.

 Wednesday, July 11: Read Sections 2.2 and 2.3 Practice problems   2.2: # 7, 9, 10, 25, 26, 37 2.3: # 3, 4, 5, 11, 12, 17 Graded assignment  (for Monday, July 16) 2.2: # 21, 22, 24, 32 2.3: # 6, 16, 18, 20
 Monday, July 09: Read Section 2.1 and 2.2 Practice problems   2.1: # 4,7,8,12,15,16, 17-21 2.2: # 3, 7, 9, 10, 13 Graded assignment  (for Monday, July 16) 2.1: # 6, 10, 26, 33 2.2: # 6, 16 Proof Problem  (for Monday, July 16) 2.1: # 22
 Friday, July 06: Read Section 1.9 Practice problems   1.9: # 2, 7, 9, 17, 23, 24, 36 Graded assignment  (for Monday, July 16) 1.9: # 4, 8, 16, 19, 27, 35, 38

 Thursday, July 05: Read Section 1.8 Practice problems   1.8: # 2, 7, 17, 21, 22, 23 Graded assignment  (for Monday, July 9) 1.8: # 4,10, 12, 19, 31, 34 Proof Problem  (for Monday, July 9) 1.8: #30
 Monday, July 02: Read Section 1.7 Practice problems   1.7: # 9, 15-24, 31, 33-37 Graded assignment  (for Monday, July 9) 1.7: # 1, 6, 27, 36, 38 1.5: # 28,30
 Friday, June 29: Read Sections 1.4, 1.5 Practice problems   1.4: # 6, 8, 12 23-26, 29, 30 1.5: # 4, 14, 23, 24, 26, 34, 35 Graded assignment  (for Monday, July 9) 1.4: # 14, 16, 20, 22, 32 1.5: # 6, 18 Proof Problem  (for Monday, July 9) 1.5: #25

 Thursday, June 28: Read Section 1.3 Practice problems   1.3: # 10, 23, 25, 25 Graded assignment  (for Monday, July 2) 1.3: # 12, 14, 16, 21, 29
 Wednesday, June 27: Read Section 1.2 Practice problems   1.2: # 5, 11, 16, 19, 21, 22, 23 Graded assignment  (for Monday, July 2) 1.2: # 4, 9, 24, 26, 28, 29
 Monday, June 25: Read Section 1.1 Practice problems   1.1: # 19, 23, 24, 27, 28 Graded assignment  (for Monday, July 2) 1.1: # 12, 15, 29 Proof Problem  (for Monday, July 2) Prove that (1) switching two equations and (2) replacing an equation by the sum of itself and a nonzero multiple of another equation yield equivalent linear systems to the original linear system.

Last Updated June 25, 2012 by R.C. Orellana