Math112 Introduction to Linear Algebra, Winter 2016

  • Course Information:
    • Lecture Room: Chernoff Auditorium
    • Lecture Time: Tues. 12:30-13:30 Thur. 11:30-12:30 Fri. 13:30-14:30
  • Syllabus
  • Tests:(Fridays in class):Jan. 29, Feb.26, Mar.18
  • Math help center schedule
  • Test 1, Test 2 and Test 3 scores are availabe on Moodle. You can pick up your test during my office hours.
  • Lecture notes without solutions. 1
    • 2 3 4 5 6 7 8 9 10 11 12 Test 1 Test 2 Test 3
  • Tentative Course Schedule:
    Date Topic Read Homework
    2016-01-05 (Tu) System of linear equations, augmented matrix §1.1
    2016-01-07 (Th) Elementary row operation and Echelon form §1.2 Homework #1
    2016-01-08 (F) Row reduction and RREF §1.2, Note #1 Solutions #1
    2016-01-12 (Tu) RREF and solution set of linear system, vector §1.2, 1.3
    2016-01-14 (Th) Vector equation, linear combination §1.3 Homework #2
    2016-01-15 (F) Span, Matrix Equation §1.4, Note #2 Solutions #2
    2016-01-19 (Tu) Solution set, linear independence §1.5, 1.7
    2016-01-21 (Th) Linear independence, matrix transformation §1.8 Homework #3
    2016-01-22 (F) Linear transformation, standard matrix §1.9, Note #3 Solutions #3
    2016-01-26 (Tu) Linear transformation in ℝ2 §1.9, Note #4
    2016-01-28 (Th) One-to-one, Onto, matrix product §1.9, §2.1
    2016-01-29 (F) Test #1 Test 1 solutions
    2016-02-02 (Tu) Matrix sum, product §2.1 Homework #4
    2016-02-04 (Th) Matrix transpose, Matrix invrese §2.2 Solutions #4
    2016-02-05 (F) Matrix inverse §2.3 Note #5
    2016-02-09 (Tu) Characteriaztion of invertible matrix, determinant §2.3, 3.1
    2016-02-11 (Th) Cofactor expansion, row operation and determinant §3.1 Homework #5
    2016-02-12 (F) Properties of determinant §3.2 Note #6 Solutions #5
    2016-02-16 (Tu) Reading week (no lecture)
    2016-02-18 (Th) Reading week (no lecture)
    2016-02-19 (F) Reading week (no lecture)
    2016-02-23 (Tu) Cramer's rule, a formula for matrix inverse §3.2
    2016-02-25 (Th) Determinant as area and volume §3.3 Note #7
    2016-02-26 (F) Test #2 Test 2 solutions
    2016-03-01 (Tu) Vector space and subspace § 4.1 Note #8 Homework #6
    2016-03-03 (Th) Null space and column space § 4.2 Solutions #6
    2016-03-04 (F) Linear independence, bases § 4.3
    2016-03-08 (Tu) Bases and dimension § 4.5 Note #9 Homework #7
    2016-03-10 (Th) Rank-Nullity theorem, eigenvalue and eigenvector § 4.6, 5.1 Solutions #7
    2016-03-11 (F) Characteristic equation § 5.2
    2016-03-15 (Tu) Difference equation §5.2, 4.8, 4.9
    2016-03-17 (Th) Difference equation §5.2, 4.8, 4.9 Note #10
    2016-03-18 (F) Test #3 Test 3 solutions
    2016-03-22 (Tu) Similarity, Diagonalization §5.2, 5.3 Note #11 Homework #8
    2016-03-24 (Th) Diagonalization §5.3 Solutions #8
    2016-03-25 (F) Good Friday (no lecture)
    2016-03-29 (Tu) Orthogonal set, symmetric matrix §6.1, 6.2, 7.1 Note #12 Homework #9
    2016-03-31 (Th) Quadratic forms §7.2 Solutions #9
    2016-04-01 (F) Review Review
    Office hours before exam Tuesday, April 5, 2-5pm
    Thursday, April 7, 2-5pm; or by email
    Math Help Center