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| Exam 1 - Sept 29 (Thursday) 6-8 pm in 106 Avery |
Exam 2 - Nov 3 (Thursday) 6-8 pm in 106 Avery |
Final Exam - Dec 15 (Thursday) 10-12 am in 110 Avery |
Instructor: Dr. Alexandra Seceleanu
Office: 338 Avery Hall
E-mail: aseceleanu2@math.unl.edu
URL: http://www.math.unl.edu/~aseceleanu2/teaching/M314F11/314.html and Blackboard.
Office Hours, MW 12:30-1:30 pm, Tue 4-6 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.
Schedule of Lectures
Week
Sections
Topic
Homework Assigment
Aug 22
1.1
1.2
1.3The 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
2.2Introduction 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 6-8 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 17-18 (M-T) 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 6-8 pm in 106 Avery Hall
Nov 7
5.3
The Gramm-Schmidt 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
6.1Orthogonal 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 23-27 (W-Sun) Thanksgiving Vacation
Nov 28
6.2
7.1Linear 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 10:00-12:00 noon in 110 Avery Hall
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