Northern Illinois University

Department of Mathematical Sciences

MATH 240 HOMEPAGE

FALL 2014

Section      Instructor      Room      

  1          Thunder        DU 480 Section 1 Webpage



  2          Blau           DU 428 Section 2 Webpage




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 Wednesday, December 10, 6-7:50PM. 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 
8/25        1.1, 1.2, 1.3, 1.4

9/1         Labor Day, 1.5, 2.1, 2.2

9/8         2.2, 2.3, 3.1, 3.2

9/15        3.2, 3.3, 3.4, 3.5, Exam 1    

9/22        4.2, 4.3

9/29        4.4, 4.5

10/6        4.6, 4.7

10/13       4.8, 4.9, Exam 2

10/20       5.1, 5.3, 5.4

10/27       5.4, 5.5

11/3        6.1, 6.2

11/10       6.3, 6.5

11/17       Exam 3, 7.1

11/24       7.2, Thanksgiving Break

12/1        7.2, 7.3, Review

   FINAL EXAM: Wednesday, Dec. 10, 6-7:50 PM  

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


     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

     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

     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.

ACADEMIC CONDUCT: Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect means being on time for class and not leaving early, being prepared to give full attention to class work, not reading newspapers or other material in class, not using cell phones or pagers during class time, and not looking at another student's work during exams. Academic misconduct, as defined by the Student Judicial Code, will not be treated lightly.

DRC STATEMENT: If you have specific physical, psychiatric, or learning disabilities and require accomodations, please let your instructor know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the DRC (Disability Resource Center) Office located in the Health Services Building, 4th floor.