
Exam 1  Sept 29 (Thursday) 68 pm in 106 Avery 
Exam 2  Nov 3 (Thursday) 68 pm in 106 Avery 
Final Exam  Dec 15 (Thursday) 1012 am in 110 Avery 
Instructor: Dr. Alexandra Seceleanu
Office: 338 Avery Hall
Email: aseceleanu2@math.unl.edu
URL: http://www.math.unl.edu/~aseceleanu2/teaching/M314F11/314.html and Blackboard.
Office Hours, MW 12:301:30 pm, Tue 46 pm and by appointment (please send email to make appointment).
Text: David Poole, Linear Algebra  A Modern Introduction, 3rd Edition, Thomson Brooks/Cole
Course Description: We will begin by discussing large systems of equations which involve many variables. This will lead us to study fundamental concepts of linear algebra from the point of view of matrix manipulation with an emphasis on concepts that are most important in applications. Topics include solving systems of linear equations, vector spaces, determinants, eigenvalues, and similarity of matrices.
Homework: Homework exercises will be assigned each lecture. These will not be collected. However, it is imperative that you complete and understand these exercises. We all learn by doing and in this class you will learn by regularly completing exercises and paying close attention to definitions and the theory underlying many applications. We will review homework exercises at the beginning of each class (with student participation!).
Quizzes: There will be a quiz in class on Friday each week except for the weeks in which we have a midterm exam and the last week of class for a total of 12 quizzes. There will be no makeup for missed quizzes for any reason. To allow some flexibility in regards to this policy, the 2 lowest scores will be dropped and only your best 10 quizzes will count towards your class grade.
Exams: There will be two evening Midterm Exams and a Final. I will cancel one class period for each evening exam (not necessarily on the day of the exam). See the Course Syllabus for approximate dates for the Midterm Exams and for the Final Exam date. Makeup Midterms are only allowed for reasons limited to serious illness or conflicting schedules due to other exams. Proof of these circumstances will be required. The makeup exam policy is that students taking a makeup exam have had more time to study and therefore makeup exams will be similar but more difficult than the regular exams. The Final Exam will be cumulative, but will emphasize the sections not covered by the Midterms.
Grading System:
Your grade will be based on Quizzes grade (20%), two evening Midterm Exams (each 25%) and a Final Exam (30%).
Final grade cutoff (guaranteed) A = 90%, B=80%, C=70%, D=60%. I will adjust the cuttoffs if exam scores warrant it.
Homework problems marked in bold are to be solved by next class.
Week  Sections  Topic  Homework Assigment 

Aug 22  1.1 1.2 1.3 
The geometry and algebra of vectors The dot product Lines and planes 
1.1: 3, 5, 11, 12, 15, 17, 18 1.2: 3, 5, 19, 26, 37 1.3: 3, 6, 9, 10, 11, 13, 17, 19, 20, 21, 22, 23 
Aug 29  2.1 2.2 
Introduction to systems of linear equations Direct methods for solving linear systems 
2.1: 1, 3, 5, 7, 9, 11, 12, 14, 15, 16, 20, 23, 28,
29, 35 2.2: 3, 5, 7, 13, 14, 17, 23, 25, 26, 33, 35, 36, 37, 43 
Sept 2 (F)  Last day to file a drop to remove course from student's record  
Sept 5 (M)  Labor Day (Student and Staff Holiday)  
Sept 5  2.3 2.4 
Spanning sets and linear independence Applications 
2.3: 1, 2, 3, 7, 9, 15, 17, 19, 23, 24, 29, 33, 34, 42, 43
2.4: selected topics 
Sept 12  3.1 3.2 
Matrix operations Matrix algebra 
3.1: 3, 5, 7, 13, 14, 17, 18, 19, 20, 21, 22, 23,
35 3.2: 3, 4, 7, 11, 15, 22, 23, 26, 30, 34 
Sept 19  3.3 3.5 
The inverse of a matrix Subspaces, basis, dimension and rank 
3.3: 1, 2, 3, 4, 8, 9, 12, 13, 17, 19,22, 23,
43, 49, 51, 52, 53 3.5: 1, 2, 3, 4, 5, 7, 11, 15, 17, 18, 21, 22, 28, 29, 31, 35, 39, 41, 42, 46 
Sept 26  3.7 
Review for midterm Applications 
3.7: selected topics 
Sept 29 (Thursday)  Midterm 1  evening exam 68 pm in 106 Avery Hall  
Oct 3  4.2  Determinants  4.2: 1, 6, 9, 13, 23, 26, 35, 36, 37, 40, 45, 46, 47, 48, 49, 51, 53, 55, 59, 63 
Oct 10  4.1 4.3 
Introduction to eigenvalues and eigenvectors Eigenvalues and eigenvectors of n x n matrices 
4.1: 5, 6, 9, 10, 11, 13, 17, 25, 26, 27, 28 4.3: 1, 2, 5, 8, 11, 12, 17, 18, 19, 21, 24 
Oct 14 (F)  Last day to change a course registration to or from "Pass/No Pass"  
Oct 1718 (MT)  Fall Semester Break (Student Holiday)  
Oct 19  4.4  Similarity and diagonalization  4.4: 1, 2, 5, 6, 7, 9, 12, 15, 17, 18, 21, 34, 37, 41 
Oct 24  4.6 5.1 
Applications Orthogonality 
4.6: selected topics 5.1: 1, 5, 9, 13, 16, 19, 20, 26, 37 
Oct 31  5.2  Orthogonal complements and orthogonal projections Review for midterm 
5.2: 1, 2, 3, 6, 7, 9, 11, 12, 16, 17, 21, 25, 29 
Nov 3 (Thursday)  Midterm 2  evening exam 68 pm in 106 Avery Hall  
Nov 7  5.3  The GrammSchmidt process  5.3: 1, 4, 5, 6, 7, 8, 9, 11, 12 
Nov 11 (F)  Last day to withdraw from courses for the term  
Nov 14  5.4 6.1 
Orthogonal diagonalization of symmetric matrices Vector spaces and subspaces 
5.4: 3, 5, 13, 14, 23 6.1: 1, 2, 3, 5, 9, 25, 26, 35, 36, 61, 62 
Nov 21  catch up  
Nov 2327 (WSun)  Thanksgiving Vacation  
Nov 28  6.2 7.1 
Linear independence, basis and dimension Inner product spaces 
6.2: 3, 5, 6, 10, 11, 17, 19, 22, 23, 27, 29, 35, 39,
45, 51, 53 7.1: 1, 3, 5, 13, 14, 15, 25, 26, 27, 28, 31, 32 
Dec 5  Review for final  
Dec 15 (Thursday)  Final exam 10:0012:00 noon in 110 Avery Hall 
