Instructor: Christopher Sadowski
Email: csadowski at ursinus dot edu
Office: Pfahler Hall 101H
Office Hours: MTWF 10:30-11:30
Text: Linear Algebra and its Applications, Fourth Edition, by David C. Lay
Please make sure the textbook you purchase has access to MyMathLab!
Course Objectives: Students will learn the basic ideas and proof techniques in linear algebra. Students will be required to know:
Learning Goals: This course will meet the following departmental learning goals:
Location: Pfahler Hall 107
Meeting times: Section A: MTWF: 8:00-8:50
Section B: MTWF: 9:00-9:50
Grading:
-10% Homework
-10% Quizzes
-15% Midterm 1
-15% Midterm 2
-15% Midterm 3
-35% Final Exam
Homework: Computational problems will be assigned using MyMathLab.
Proof based and conceptual questions will also be assigned, and are to be handed in in class.
Please watch your email for homework updates!
Quizzes: We will have weekly quizzes on Wednesday, after our problem solving session. The quizzes will cover material from the previous week.
Exams:
Exam 1: 10/2/15
Exam 2: 11/6/15
Exam 3: 12/4/15
Final Exam: 8am section: 12/15/15 9am-12pm
9am section: 12/16/15: 1pm-4pm
Academic Honesty: Students may work together and discuss assignments with one another, but all work handed in must be solely the student's. Any incident of cheating on a quiz or exam will results in a grade of 0 for the assignment, with no make-up allowed. A second incident of cheating will result in a failing grade for the course. All incidents of cheating will be reported to the Dean's Office. Please refer to the Student Handbook on Academic Honesty and the Statement on Plagiarism.
Attendance: Students are expected to attend all classes. If you are unable to attend class for a legitimate reason, please email me before class.
Inclement Weather Policy: Students will be emailed in the event that class is cancelled due to inclement weather.Ac
Accommodations Policy: Students requiring accommodations should provide me with the appropriate paperwork from the Accommodations Office at the beginning of the semester.
SPTQ: Towards the end of the semester, students will be reminded to fill out SPTQ forms. These forms are invaluable to both the instructor and the department, since they provide valuable feedback to the instructor on how to improve the course, and provide evaluation information to the department chair. Honest constructive feedback (both positive and negative!) is appreciated.
Inclusive climate in the classroom: In this class we will work to promote an environment where everyone feels safe and welcome, even during uncomfortable conversations. Every voice in the classroom has something of value to contribute to class discussion. Because the class will represent a diversity of individual beliefs, backgrounds, and experiences, every member of this class must show respect for every other member of this class. You are encouraged to not only take advantage of opportunities to express your own ideas, but also, learn from the information and ideas shared by other students.
Syllabus (subject to change as the course progresses):
Week 1: 8/31, 9/2
1.1 Systems of Linear Equations
1.2 Row Reduction and Echelon Forms
1.3 Vector Equations
Week 2: 9/7, 9/9
1.3 Vector Equations (continued)
1.4 The Matrix Equation Ax=b
1.5 Solution Sets of Linear Systems
Week 3: 9/14, 9/16
1.5 Solution Sets of Linear Systems (continued)
1.6 Applications of Linear Systems
1.7 Linear Independence
Week 4: 9/21, 9/23
1.7 Linear Independence (continued)
1.8 Introduction to Linear Transformations
Week 5: 9/28, 9/30
1.9 The Matrix of a Linear Transformation
2.1 Matrix Operations
Exam 1: 10/2/15 (on all material up to and including 1.8)
Week 6: 10/5, 10/7
2.2 The Inverse of a Matrix
2.3 Characterizations of Invertible Matrices
4.1 Vector Spaces and Subspaces
Fall Break: 10/9- 10/13
Week 7: 10/14
Quiz
Week 8: 10/19, 10/21
4.1 Vector Spaces and Subspaces
4.2 Null Spaces, Column Spaces, and Linear Transformations
4.3 Linearly Independent Sets and Bases
Week 9: 10/26, 10/28
4.3 Linearly Independent Sets and Bases
4.4 Coordinate Systems
4.5 Dimension of a Vector Space
Week 10: 11/2, 11/4
4.6 Rank
Week 11: 11/9, 11/11
3.1 Introduction to Determinants
3.2 Properties of Determinants
Week 12: 11/16, 11/18
3.3 Cramer's Rule
5.1 Eigenvalues and Eigenvectors
Week 13: 11/23, 11/25
5.2 The Characteristic Equation
5.3 Diagonalization
Week 14: 11/30, 12/2
5.5 Complex Eigenvalues
6.1 Inner Product, Length, and Orthogonality
Week 15: 12/7, 12/9
6.2 Orthogonal Sets
6.3 Orthogonal Projections
6.4 Gram-Schmidt Process