Math 24 Syllabus and Homework Assignments
Spring 2013
 Updated: May 20


There will often be last minute changes in the syllabus and homework, so check this page before doing any reading or homework.

  Jump to Week 1| Week 2|Week 3|Week 4|Week 5|Week 6|Week 7|Week 8|Week 9|Week 10|Week 11 |

Week 1
March 25
  • Introduction, vector spaces
  • Read Section 1.2
  • Homework: pp. 13 - 16: 4bf, 8, 10, 12, 15, 21 (only show associativity)
March 27
  • Subspaces, fields
  • Read Section 1.3 and skim Appendix C
  • Homework: pp. 20 - 22: 2dfh, 5, 10, 11, 20, 23, 25
March 29
  • Linear combination and linear equations
  • Read Section 1.4
  • Homework: pp. 33 - 34: Use the method of Section 1.4 to solve these equations, 2bd, 4c, 6, 8, 10
Week 2
April 1
  • Linear dependence and independence
  • Read Section 1.5
  • Homework: pp. 40 - 42: 2ac, 5, 6, 9, 17, 18
April 3
  • Bases and dimension
  • Read Section 1.6 (skip Lagrange interpolation)
  • Homework: pp. 54 - 55: 2d, 3e, 4, 7, 11, 12
April 5
  • Bases and dimension
  • Read Section 1.6 (skip Lagrange interpolation)
  • Homework: pp. 55 - 57: 13, 16, 20, 23, 29
Week 3
April 8
  • Linear Transformations
  • Read Section 2.1
  • Homework: pp. 74 - 75: 3, 5 - 7, 10
April 10
  • Linear Transformations
  • Read Section 2.1
  • Homework: pp. 75 - 78: 14ac, 17, 21, 28, 38
April 12
  • Matrix representation of a linear transformation
  • Read Section 2.2
  • Homework: pp. 84 - 85: 2bd, 3, 4, 5c, 8
Week 4
April 15
  • Composition of linear transformations and matrix multiplication (skip Applications)
  • Read Section 2.3
  • Homework: pp. 96 - 97: 2b, 3, 11
April 17
  • Composition of linear transformations and matrix multiplication (skip Applications); Invertability and isomorphisms
  • Read Sections 2.3 and 2.4
  • Homework: pp. 97 - 98: 12, 13; pp. 106 - 107: 2de, 10
April 18
  • X-hour, 12:00 - 12:50
  • First midterm exam: in-class portion
April 19
  • Invertability and isomorphisms
  • Read Section 2.4
  • Homework: p. 108: 16, 17, 20
Week 5
April 22
  • Change of coordinate matrix
  • Read Section 2.5
  • Homework: pp. 116 - 118: 1, 2c, 3c, 4, 9 - 11
April 24
  • No class today. Classes canceled at Dartmouth.
April 25
  • Class held today during x-hour.
  • Homework Week 4 due today
  • Elementary operations and elementary matrices
  • Read Section 3.1
  • Homework: pp. 151 - 152: 2, 3ac, 8, 9
April 26
  • The rank of a matrix and matrix inverses
  • Read Section 3.2
  • Homework: pp. 165 - 166: 2acf, 4ab
Week 6
April 29
  • The rank of a matrix and matrix inverses
  • Read Section 3.2
  • Homework: pp. 166 - 168: 5ab, 6cd, 8, 15
May 1
  • Homework Week 5 due today
  • Systems of linear equations -Theory (skip An Application)
  • Read Section 3.3
  • Homework: pp. 179 - 181: 2dg, 3dg, 7ad, 8b, 9, 10
May 3
  • Systems of linear equations - Computations (up to p. 193)
  • Read Section 3.4
  • Homework: pp. 195 - 197: 2abf, 5 (Hint: Thm 3.16), 7, 9
Week 7
May 6
  • Determinants (Definitions, facts and examples)
  • Read Section 4.4
  • Homework: pp. 236 - 238: 2d, 3dg, 4de, 5 (induction?)
May 8
  • Homework 6 due today covering assignments made on 5/1, 5/3 and 5/6
  • Eigenvalues and eigenvectors
  • Read Section 5.1
  • Homework: pp. 256 - 260: 2c, 3ad, 8ab, 14 - 16
May 10
  • Diagonalizability (up to and including p. 271)
  • Read Section 5.2
  • Homework: pp. 280 - 281: 3ce, 11, 12
Week 8
May 13
  • Diagonalizability Continued (up to and including p. 271)
  • Read Section 5.2
  • Homework: none
May 15
  • Homework 7 due today covering assignments made on 5/8 and 5/10
  • Inner products and norms
  • Read: Section 6.1
  • Homework: pp. 336 - 338: 2, 3, 10, 11, 15a, 17, 20a
May 16
  • X-hour, 12:00 - 12:50
  • Second midterm exam: in-class portion
May 17
  • The Gram-Schmidt process and orthogonal complements
  • Read: Section 6.2
  • Homework: pp. 353 - 354: 2acd, 4, 11, 12
Week 9
May 20
  • The adjoint of a linear operator
  • Read: Section 6.3 (Skip Least Squares Approximation)
  • Homework (Assigned but will not be collected): pp. 366 - 367: 3b, 6, 8, 10, 11
May 22
  • Normal and self-adjoint operators
  • Read: Section 6.4
  • No Homework
May 24
  • Homework 8 due today covering assignments made on 5/15 and 5/17
  • Unitary and orthogonal operators
  • Read: Section 6.5
  • No Homework
Week 10
May 27
  • NO CLASS - Memorial day
May 29
  • LAST CLASS
  • Questions, Comments, Discussion of Final Exam, etc.