Math 22: Linear Algebra with Applications

Fall 2015

General Information

Course Description

Linear algebra is the study of vector spaces and the linear transformations between such spaces. In this class we will work mostly with the vector space Rn. We will learn how to represent linear transformations with matrices and study different types of linear transformations, such as diagonalizable transformations. During the last weeks of classes we will concentrate on applications. For a more detailed description on the topics we will learn in this class see the day to day syllabus.

Linear algebra is very important for both pure and applied mathematics. This is one of the reasons that it is a prerequisite for almost all of your math major courses. On the other hand, the techniques of linear algebra are used in engineering, physics, natural sciences, computer science and economics. For example, when we combine calculus with linear algebra we can solve linear systems of differential equations.

Goals of the course:

  • Students will learn the main concepts and techniques in linear algebra.
  • Students will learn some applications of linear algebra.
  • Students will be prepared for more advanced courses in mathematics that require linear algebra.
    "Mathematics is not for spectators; in order to gain in understanding, confidence, and enthusiasm one has to participate." M.A. Armstrong
  • Exams
    DateTime & Location
    Midterm #1 Wednesday, Oct. 14 6:00 - 8:00 PM - KH 008
    Midterm #2 Wednesday, Nov. 4 6:00 - 8:00 PM - KH 008
    Final Exam Friday, Nov. 20 3:00 - 6:00 PM - TBA

    Note: The final exam is set by the registrar. Please do not make plans to leave town before the final.

    Angelica Babei will be available for tutorials on Tuesday, Thursday and Sunday evenings from 7:00 - 9:00 during the term. She will be in KH 105.
    The course grade will be computed as follows:

    Percent of Final Grade
    Midterms 40 (20 each)
    Homework 15
    Participation 5
    Final Exam 40

    Students will be graded on class participation. Of course it is difficult to participate if one does not come to class at all, and so habitual absence will also be reflected in the class participation grade.
    Homework Policy
    Written homework will be assigned daily and will be collected once a week at the beginning of class.
    • All homework assignments will be posted on the course assignment's webpage.
    • Unexcused late and missing papers count zero.
    • Homework is to be written neatly using both sides of 8 1/2 x 11 inch paper. Do not use paper from a spiral notebook unless you can tear off the ragged edge. All papers are to be stapled.
    • Use English. If you can't read your solutions aloud as fluently as if you were reading a textbook, try using nouns and verbs in your write ups!
    David C. Lay, Linear Algebra and its applications, Fourth edition.
    Honor Principle
    Students are encouraged to work together to do homework problems. What is important is a student's eventual understanding of homework problems, and not how that is achieved.

    The honor principle on homework: What a student turns in as a homework solution is to be his or her own understanding of how to do the problem. Students must state what sources they have consulted, with whom they have collaborated, and from whom they have received help. It is a violation of the honor code to copy solutions from problems posted on the web or book or any other source. The solutions you submit must be written by you alone. Any copying (electronic or otherwise) of another person's solutions, in whole or in part, is a violation of the Honor Code. For example, it is a breach of the honor code to read the solutions of someone else in order to write your solution.

    The honor principle on exams: Students may not give or receive assistance of any kind on an exam from any person except for the professor or someone explicitly designated by the professor to answer questions about the exam.

    If you have any questions as to whether some action would be acceptable under the Academic Honor Code, please speak to me I will be glad to help clarify things. It is always easier to ask beforehand than to have trouble later!
    Disabilities and Religious Observances
    Students with disabilities enrolled in this course and who may need disability-related classroom accommodations are encouraged to make an appointment to see your instructor before the end of the second week of the term. All discussions will remain confidential, although the Student Accessibility Services office may be consulted to discuss appropriate implementation of any accommodation requested.

    Some students may wish to take part in religious observances that occur during this academic term. If you have a religious observance that conflicts with your participation in the course, please meet with your instructor before the end of the second week of the term to discuss appropriate accommodations.

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