# Last Updated: 5/24/19

 Section 004: FLMG 104, MWF, 10-10:50AM Quizzes Solutions Section 005: FLMG 102, MWF, 1-1:50PM Instructor: Alexander Nita (alexander.nita@colorado.edu ) 1, 2, 3, 4, 5,   6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 1, 2, 3, 4, 5,   6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 Office: MATH 140, Mon 11-11:50am, Wed 12-12:50pm Syllabus MARC (Mathematics Academic Resource Center) Lecture Topics Points and Vectors in R^n      Matrices and Linear Transformations      Bases, Coordinates and Representations      Examples and Exercises in Coordinate Representations      Abstract Vector Spaces      Systems of Equations      System Example 1      System Example 2      Systems Example 3      Eigenvalues and Eigenvectors 1      Eigenvalues and Eigenvectors 2      Symmetric/Skew-Symmetric and Orthogonal Matrices,         and their Complex Analogues      (Supplement, not required) Exponential of Symmetric/Hermitian         and Skew-Symmetric/Skew-Hermitian Matrices         (FYI: notes are unfinished)      Determinant Proofs 1 - Row Operations      Detailed 4x4 Row Swap Proof      Determinant Proofs 2 - Transposes Etc. Exam 1 Covers Sections:     1.1-1.5,   1.7-1.9,    2.1-2.5,   2.8-2.9 Practice Exam 1 Practice Exam 1 Solution Exam 2 Covers Sections:     3.1-3.3,   4.1-4.7,    5.1-5.3,                                         Lecture Notes on Matrices and Bases Practice Exam 2 Practice Exam 2 Solution Final Exam Covers:     Chapters 1-6 (only what we covered in class and hw),                                         Section 7.1, and all Lecture Notes. Practice Final Exam Practice Final Exam Solution

 \ Day      Week \ Mon Wed Fri 1 1/14 Intro Section 1.1 1/16 Section 1.2 1/18 Sections 1.3-1.4 2 1/21 MLK---No Class 1/23 Sections 1.5, 1.7 HW 1 Due: Sec. 1.1:    2, 4, 8, 12, 20 Sec. 1.2:    2, 4, 12, 22 (Solutions) 1/25 Sections 2.8-2.9 3 1/28 Section 1.8 1/30 Section 1.9 2/1 Section 2.1 HW 2 Due: Sec. 1.3:    14, 18, 29, 30 Sec. 1.4:    4, 14, 18, 22, 26 Sec. 1.5:    10, 26, Sec. 1.7:    2, 12, 27, 28, 38 (Solutions) 4 2/4 Section 2.2 2/6 Sections 2.3-2.4 2/8 Sections 2.4-2.5 HW 3 Due: Sec. 2.8:    5, 8, 15, 16, 18, 20, 22 Sec. 2.9:    3, 5, 4, 6, 10, 13, 20 Sec. 1.8:    8, 14, 32, 24-27, 30, 34, 36 Sec. 1.10:    3, 4, 8, 16, 20 (Solutions) 5 2/11 Sections 2.8-2.9 2/13 Section 3.1 2/15 Section 3.2 Review 6 2/18 Midterm 1 2/20 Section 3.2 2/22 Section 3.3 7 2/25 Section 4.1 HW 4 Due: Sec. 1.9:    1-3, 5, 4, 6, 7, 17, 19,       23a-c, 29, 30, 8, 12, 18, 23e, 24a Sec. 2.1:    2-5, 11, 27, 6, 10, 22, 24, Sec. 2.2:    1-3, 5, 6, 4, 14, 18, 21-24 Sec. 2.3:    1-6, 13, 23 8, 16, 18, 27 (Solutions) 2/27 Section 4.2 3/1 Section 4.3 8 3/4 Section 4.4 3/6 Sections 4.5-4.6 3/8 Sections 4.6-4.7 HW 5 Due: Bases, Coordinates and Reps. Exercises:   1.8, 1.10, 1.19, 1.23, 1.24,   1.9 (cf. 4.1 #32-33), 1.18, 1.20, 1.25, 1.27, 1.28, 3.12 Sec. 4.1:    10-12, 30, 21, 22 Sec. 4.3:    13, 15, 14, 16, 20 Sec. 4.4:    1, 3, 2, 4, (Solutions) 9 3/11 Section 5.1 3/13 Section 5.2 3/15 Section 5.3 10 3/18 Sections 5.3-5.4 3/20 Section 5.4 3/22 Section 5.5 HW 6 Due: Bases, Coordinates and Reps. Exercises:   6.6, 6.10, 7.5, 7.11, 7.14, 7.17, 7.19, 7.20, 7.23   6.11, 7.6, 7.9, 7.12 7.15, 7.21, 7.22, 7.24 Sec. 3.1:    4, 26, 28, 30, 12, 37, 38, 41 Sec. 3.2:    6, 22, 31, 34, 38 (Solutions) 11 4/1 Section 5.7 4/3 Section 6.1 Review 4/5 Midterm 2 12 4/8 Section 6.1 4/10 Section 6.2 4/12 Section 6.3 13 4/15 Section 6.4     HW 7 Due: 'Abstract Vector Spaces' notes:   1.4, 1.9, 1.28, 5.2, 5,4, 5.6, 5.8,   1.5, 1.12, 1.29, 5.10 Sec. 4.1:    6, 8, 20b, Sec. 4.3:    34, 38, Sec. 4.4:    14, 28 Sec. 4.5:    21-24, 27, 28, 34, Sec. 4.7:    14, 18 (Solutions) 4/17 Section 6.5 4/19 Section 6.6 14 4/22 Sections 6.7-6.8 4/24 Section 7.1 4/26 Section 7.2 15 4/29 Section 7.3 OR 8.1-8.2 5/1 Section 7.4 OR 8.3-8.4 HW 8 Due: Sec. 5.3:    4, 8, 12, 24 Sec. 5.4:    8, 12, 20, 25 26, 34 Sec. 5.5:    1, 3 2, Sec. 6.1:    14, 24, Sec. 6.2:    25, 27, 28, 29, 14, 16, Sec. 6.3:    11, 12, 16, Sec. 6.7:    17, 18, 22, 24, Sec. 7.1:    14, 16 (Solutions) 5/3 Review

Section 04 Final Exam: Tuesday, May 7, 4:30-7pm
Section 05 Final Exam: Monday, May 6, 1:30-4pm