Math 2130: Linear Algebra for Non-Math Majors

Spring 2019


Last Updated: 3/31/19


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
  1, 2, 3, 4, 5,
  6, 7, 8, 9 10
11 12 13 14 15

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
     Eigenvalues and Eigenvectors 1
     Eigenvalues and Eigenvectors 2

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



        \ 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
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
5/3

Review

Final Exam on Tuesday, May 7, 4:30-7pm