Northern Illinois University

Department of Mathematical Sciences

MATH 240 HOMEPAGE

SPRING 2014

Section      Instructor      Room      

  1          Geline         DU 310

  
  2          Krislock       DU 428            


  3          None





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.

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.

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

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


Week of      Sections 
1/13         1.1,1.2,1.3,1.4

1/20         MLK Day, 1.5,2.1, 2.2 

1/27         2.3,2.4,3.1 

2/3          3.2,3.3,3.4, Exam 1    

2/10         4.2,4.3, 4.4

2/17         4.5, 4.6, 4.7, 4.8

2/24         4.9, 6.1, 6.2

3/3          6.3, 6.5, Exam 2

3/10       Spring Break
    
3/17       7.1, 7.2

3/24       5.1, 5.3

3/31       5.4, 5.5

4/7        7.3, Exam 3

4/14       Optional Sections

4/21        Review

4/28        Final Exam: Thursday, May 8, 8-9:50AM

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

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.

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.