Dr Vancliff's Spring 2021 Teaching Page at UTA

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PAGE CONTENTS

• Math 3330 Introduction to Linear Algebra and Vector Spaces

• Math 4321 Undergraduate Abstract Algebra II

Math 3330: Introduction to Linear Algebra and Vector Spaces

• Help Outside Class Time

  • Instructor's office hours (through Tuesday May 4 inclusive unless informed otherwise):
    Tues and Thurs 1:15-1:50 pm and 4:40-5:20 pm using Microsoft Teams (see Canvas Announcements for the link), or by appointment.
    (Instructor's office hours during May 5-12 will be posted on the homework page at the end of April.)

  • Our LRC tutor is Logan Marshall ( logan.marshall@mavs.uta.edu ) and his office hours (through May 4 inclusive) are:
    Mondays 9:30-10:15 am,  Wednesdays 10:30-11:15 am  and  Fridays 11:45am-12:15pm
    using Canvas conference.

  • You can also contact the Math Clinic and/or LRC in PKH 325 for help; tel = (817) 272-5674 (or try (817) 272-1749). Some (not all) tutors in the clinic should be able to address your questions. Meetings/appointments are via Microsoft Teams. Check their websites for details.

• This course will make use of Canvas for some items.

• Course Information Sheet.

• Homework. Make sure you are viewing the most current version of the homework page and not the version in your browser's cache; reload the page from source, or clear the cache and reload the page. Skimming through the main ideas in a section shortly before that section is covered in class should help you understand the lecture -- try it!
  (Link to instructor's homework assignments in Math 3330 in Fall 2020.)

• Tips on how to study & more tips on how to study.
  Since lectures will be recorded, it will be tempting to put off watching them until “later”. Even students with the best of intentions find themselves falling behind on the material. Be aware of this and savvy about it – keep up with the lectures and the homework assigned every week – do not leave the studying until “later”.

• Some practice quizzes & tests from other courses/websites/universities with immediate feedback or solutions provided:

  • practice quiz on solving systems of linear equations

  • practice quiz on linear transformations and kernels, image, etc

  • practice quiz on linear spaces, dimension, bases, etc

  • practice quiz on determinants and diagonalizability

  • some practice quizzes & tests on various aspects of our course

  • some practice quizzes on various aspects of our course

  • some more practice quizzes on various aspects of our course.

• Some online applets to help with calculations in this course:

  • toolkit to help with matrix row operations, finding the inverse of a matrix using row operations, determining if a set of vectors spans a certain subspace, finding bases, etc;

  • online help with matrix calculations such as solving a matrix equation, finding rank of a matrix, inverse of a matrix, matrix multiplication, or this other helpful website for finding eigenvectors and eigenvalues.

• For those of you interested in applications of linear algebra, you could surf the web, or consult this website or this website at NASA or this other website at NASA or this other website for items to read.

• 5 Mathematics-related careers voted among top 10 best jobs in 2019!! (In fact, the top-rated job was Data Scientist, which uses tons of linear algebra, both at a superficial level and at a very deep level.)

• Click here to return to top of page.

Math 4321: Undergraduate Abstract Algebra II

• Help Outside Class Time

  • Instructor's office hours (through Tuesday May 4 inclusive unless informed otherwise):
    Tues and Thurs 1:15-1:50 pm and 4:40-5:20 pm using Microsoft Teams (see Canvas Announcements for the link), or by appointment.
    (Instructor's office hours during May 5-12 will be posted on the homework page at the end of April.)

  • Our GTA is Khoa Nguyen ( khnguyen@mavs.uta.edu ) and his office hours (through May 4 inclusive) are:
    Mondays 9:30-10:30 am  and   Wednesdays 10:30-11:30 am
    using MS teams (see Canvas announcement on Jan 28 for the link).

• This course will make use of Canvas for some items.

• Course Information Sheet.

• Homework. Make sure you are viewing the most current version of the homework page and not the version in your browser's cache; reload the page from source, or clear the cache and reload the page. Skimming through the main ideas in a section shortly before that section is covered in class should help you understand the lecture -- try it!
  (Link to instructor's homework assignments in Math 4321 in Spring 2020.)

• Tips on how to study & more tips on how to study.
  Since lectures will be recorded, it will be tempting to put off watching them until “later”. Even students with the best of intentions find themselves falling behind on the material. Be aware of this and savvy about it – keep up with the lectures and the homework assigned every week – do not leave the studying until “later”.

• Guidance on writing proofs (pdf file).

• For those of you interested in applications of abstract algebra, you could surf the web, or consult this website or this website at NASA or this other website at NASA or this other website for items to read. A website at NASA that illustrates applications of category theory (a subfield of abstract algebra) is here.

• 5 Mathematics-related careers voted among top 10 best jobs in 2019!! (In fact, the top-rated job was Data Scientist, which requires understanding zeros of polynomials, a topic to be discussed in our course.)

• Click here to return to top of page.

(copied from Don Bovee at math.washington.edu)