Math 235: Introduction to Linear Algebra

(Section 8) T,Th 10:00-11:15 in Goessmann Lab. Addtn room 51

(Section 3) T,Th 11:30-12:45 in Goessmann Lab. Addtn room 51

Instructor:
Dr. Liubomir Chiriac, 1115J LGRT (email: mylastname [at] math [dot] umass [dot] edu).

Office Hours:
Fri 3-4, or by appointment.

Textbook and MyMathLab:
  • Linear algebra and its applications, 5th Edition by David Lay, Steven Lay, and Judi McDonald.
  • An electronic copy of the textbook is included in your purchase of MyMathLab, which is required for this course.

  • Homework:
  • Homeworks will be assigned through MyMathLab.
  • You should have received a Course ID by now (which is different for every section).

  • Grading:
  • Homework and participation - 25%;
  • Two Midterms - 25% (each);
  • Final - 25%.
  • Grades will be assigned to course percentages according to the following scale:

    90-100

    86-89

    82-85

    76-81

    72-75

    68-71

    62-67

    58-61

    54-57

    48-53

    0-47

    A

    A-

    B+

    B

    B-

    C+

    C

    C-

    D+

    D

    F

    Exam Info:
    Past exams are available here.
  • You are allowed one 8.5" x 11" sheet of notes (both sides).
  • Calculators and the textbook are not allowed on the exams.
  • You should bring your student ID (UCard) to each exam.

  • Make-up Exam Policy:
    If you have a documented conflict for one of the exams, in order to take the make-up exam you must give the course chair Rob Kusner profkusner@gmail.com (and me) at least one weeks' written notice for a midterm exam and at least two weeks' written notice for the final exam. Make-up exams will not be given to accommodate travel plans.



    Midterm 1 - Thursday 2/28/19, 7-9PM, at the following locations:

  • Hasbrouck 124: for students in Section 3 (Tu,Th 11:30) only;

  • Hasbrouck 126: for students in Section 8 (Tu,Th 10:00) only.


  • Covered material: Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 1.9, 2.1, 2.2, 2.3.



    Midterm 2 - Tuesday 4/09/19, 7-9PM, at the following locations:

  • Herter 227: for students in Section 3 (Tu,Th 11:30) only;

  • Herter 231: for students in Section 8 (Tu,Th 10:00) only.


  • Covered material: Sections 3.1, 3.2, 3.3, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6.



    Final Exam - Tuesday 5/7/19, 10:30AM-12:30PM, in Boyden Gym.

    Covered material: Sections 4.5, 4.6, 5.1, 5.2, 5.3, 6.1, 6.2.



    Syllabus and weekly schedule:
    This is an introductory course on linear algebra, covering systems of linear equations, matrices, linear transformations, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality.

    The schedule below gives the topics from the course text to be covered each week. (This is only a guideline, and may be modified throughout the term.)


    1/21-1/25: 1.1 Systems of linear equations; 1.2 Row reduction and echelon forms; 1.3 Vector equations.

    1/28-2/01: 1.4 The matrix equation AX=B; 1.5 Solution sets of linear systems.

    2/04-2/08: 1.7 Linear independence; 1.8 Introduction to linear maps.

    2/11-2/15: 1.9 The matrix of a linear map; 2.1 Matrix operations.

    2/18-2/22: 2.2 The inverse of a matrix; 2.3 Characterizations of invertible matrices.

    2/25-3/01: 3.1 Introduction to determinants; 3.2 Properties of determinants.

    Midterm I: Thursday 2/28/19, 7-9PM.

    3/04-3/08: 3.3 Cramer's rule, volume and linear maps; 4.1 Vector spaces and subspaces.

    3/11-3/15: Spring Break!

    3/18-3/22: 4.2 Null space (kernel), column space (image) and linear maps; 4.3 Linearly independent sets and bases.

    3/25-3/29: 4.4 Coordinate systems; 4.5 The dimension of a vector space.

    4/01-4/06: 4.6 Rank; 5.1 Eigenvectors, eigenvalues and eigenspaces.

    4/08-4/12: Midterm Review & 5.2 The characteristic equation.

    Midterm II: Tuesday 4/09/19, 7-9PM

    4/15-4/19: 5.3 Diagonalization.

    4/22-4/26: 6.1 Inner product, Length and orthogonality; 6.2 Orthogonal sets.

    4/29-5/03: Final Review.

    Final: Tuesday 5/7/19, 10:30AM-12:30PM.