Northern Illinois University

Department of Mathematical Sciences

MATH 240 HOMEPAGE

SPRING 2013

Section      Instructor      Room      

  1          Thunder        DU 428     webpage for section 1           

  
  2          Geline         DU 348            


  3          Blau           DU 302





LINEAR ALGEBRA AND APPLICATIONS (4) Matrix algebra and solutions of systems of linear equations, matrix inversion, determinants. Vector spaces, linear dependence, basis and dimension, subspaces. Inner products, Gram-Schmidt process. Linear transformations, matrices of a linear transformation. Eigenvalues and eigenvectors. Applications. Constructing and writing mathematical proofs. A transition between beginning calculus courses and upper-level mathematics courses.
PRQ: MATH 232, Calculus III

TEXT: Bernard Kolman and David R.Hill, Elementary Linear Algebra, 9th Edition, Prentice Hall, Upper Saddle River, New Jersey, 2008.

SYLLABUS: The course will cover most of Chapters 1-7 of the text.

COURSE OBJECTIVES: Students will develop computational skills in working with linear transformations and the matrices used to represent them. However, more of the course will focus on non-computational issues such as reasoning and constructing proofs. This course is intended as a transition between the beginning calculus courses and upper level courses in mathematics.

GRADING: Grades will be assigned on the basis of (approximately) 600 points, as follows:

3 hour exams worth 100 points each
Homework and/or Quizzes, 100 points total
Final exam, 200 points
Your professor will provide more specific information about grading policies and exam dates for your section.

FINAL EXAM: The final exam will be a comprehensive, departmental examination. It is scheduled as a mass exam, on Thursday, May 9, 8-9:50AM. All sections of this course will take the same final exam at the same time.

WITHDRAWAL: The last day for undergraduates to withdraw from a full-session course is ?????.

LECTURES AND EXAMS: This is the tentative schedule for lectures and exams.


Week of      Sections 
1/14         1.1,1.2,1.3

1/21         MLK Day 1.4,1.5 

1/28         2.1,2.2,2.3 

2/4         3.1,3.2,3.3, Exam 1    

2/11         4.2,4.3

2/18         4.4,4.5

2/25         4.6,4.7

3/4        4.8,4.9, Exam 2

3/11       Spring Break
    
3/18       5.1,5.3,5.4

3/25        5.4,5.5

4/1        6.1,6.2

4/8        6.3,6.5

4/15        Exam 3, 7.1

4/22        7.1,7.2

4/29        7.2,7.3, Reading Day

   FINAL EXAM: Thursday, May 9, 8-9:50AM  

HOMEWORK PROBLEMS: These are the suggested homework problems. Your instructor will tell you which ones are to be handed in for grading.

   |Section|Page|Problems

     1.1      8   2  3  5 10 11 14 15 19 22 23 34
     1.2     19   5  7  8  9 11 12 13 15 17 19
     1.3     30   5  7 11 14 20 23 24 27 28 29 31 33 36 43 44 45 46
     1.4     40   3  5  8  9 10 11 12 22 23 25 32 34 36
     1.5     52   3  5  9 11 15 16 17 19 20 21 22 23 24 26 27 31 32 33 35 36 40 51 52 54

     2.1     94   1  3  5  7 11 13
     2.2    113   1  5  7  9 11 13 14 15 17 18 21 23 27 29 30 31
     2.3    124   2  3  5  7  8  9 11 13 15 
     2.3    124  17 19 21 24 25 29

     4.1    187   5  7 11 15 17 19
     4.2    196   1  2  3  4  6  8  9 11 
     4.2    196  13 15 17 19 20 23 25
     4.3    205   1  2  3  4  5  7  9 11 13 15 17 19 
     4.3    205  19 23 24 29 30 33 34
     4.4    215   1  3  4  5  7  8  9 11 12 13
     4.5    226   1  2  3  4  9 10 11 13 16 18 20 23 24 27 28
     4.6    242   2  4  7  8  9 10 11 13 15 16 17 18 19 21 23 24 26 28 29 31 32 35 41 42 44 47
     4.7    251   1  4  6  9 13 16 17 20
     4.8    267   1  2  6  7  9 10 12 15 16 17 23 24 26 29 35 37 38
     4.9    282   1  2  5  7  9 13 18 28 31 32 34 35 41 45

     3.1    145   2  3  5  8  9 12 13
     3.2    154   1  3  4  5  6  7  9 10 11 13 14 15 17 19 22 23 24 30 31 32 34 
     3.3    164   1  5 10 11 12 17 19
     3.4    169   1  2  3  4  7  9 14
     3.5    172   1  3  5  7

     5.1    297   3  5  7 12 16 17 18 22 27 34
     5.3    317   6  7 10 11 15 16 17 19 20 21 23 30 31 34 35 40 41 43
     5.4    329   1  2  5  8 10 11 15 20 21 23 24 28 31 32 33
     5.5    348   1  2  4  5  7  8  9 11 15 18 19 25 26 28 29

     6.1    372   2  3  4  5  6  8  9 11 12 13 14 16 17 20 24 25 26 31 32 34
     6.2    387   1  3  6  7  8 10 12 13 15 16 18 20 21 25 26 28
     6.3    397   1  3  4  5  7  8  9 10 13 19 20 21
     6.5    413   1  3  4  5  6  7  8 11 13 14 15 17

     7.1    450   1  2  4  7  9 11 12 15 17 21 22 23 24 25 32
     7.2    461   1  2  4  7  9 11 12 15 17 18 19 22 25 26 28
     7.3    475   1  2  3  4  8  9 10 11 14 15 16 19 20 21 27

Review: Chapter Summaries from the textbook by Kolman.
Previous final exams: Fall 2002, Fall 2004, Fall 2008, Spring 2011, Fall 2009 with solutions.

CALCULATORS: This course is not focused on numerical computation. Students may wish to use calculators or computers as a study aid, but no electronic devices of any kind will be allowed on exams. See this page for some examples that illustrate the difficulties in doing numerical calculations. A calculator can give you a completely wrong answer. Techniques from numerical linear algebra are covered in a subsequent course, MATH 434.

CAAR STATEMENT: Students who request accommodation due to a physical or learning disability must contact their instructor at the beginning of the semester. The instructor has the right to see documentation of the student's condition from the CAAR office.