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Linear Algebra
by Kiryl Tsishchanka

SYLLABUS (TTH 11:00-12:30)
SYLLABUS (TTH 12:30-2:00)
GRADE CALCULATOR
WolframAlpha
Tests

Weeks Dates Sections Handouts Homework
Due Dates
1
Jan 17
Section 1.1 Systems of Linear Equations Section 1.1: # 14, 16
Section 1.2: # 30
Jan 26
Jan 19
Section 1.2 Row Reduction and Echelon Forms, Part 1
2
Jan 24, 26
Section 1.2 Row Reduction and Echelon Forms, Part 2
Section 1.3: # 29
Section 1.4: # 36
Feb 2
Section 1.3
Vector Equations
Section 1.4 The Matrix Equation Ax = b
3
Jan 31
Section 1.5 Solution Sets of Linear Systems
Section 1.5: # 14, 22, 37
Section 1.6: # 4, 6, 12

Feb 9

Feb 2
Section 1.6 Applications of Linear Systems
4
Feb 7, 9
Section 1.7 Linear Independence
Section 1.7: # 41
Section 1.8: # 32, 33
Section 1.9: # 26, 28, 32
Feb 16
Section 1.8 Introduction to Linear Transformations
Section 1.9 The Matrix of a Linear Transformation
5
Feb 14
Section 1.10 Linear Models in Business, Science, and Engineering
Section 1.10: # 2, 6, 10
Section 2.1: # 40

Feb 23
Section 2.1 Matrix Operations
Feb 16 Sections 1.1-1.9 MIDTERM 1
6
Feb 21, 23
Section 2.2 The Inverse of a Matrix
Section 2.2: # 33
Section 2.3: # 34
Section 2.4: # 4, 6, 12, 15, 21

Mar 2

Section 2.3 Characterizations of Invertible Matrices
Section 2.4 Partitioned Matrices
7
Feb 28, Mar 2
Section 2.5 Matrix Factorizations

Section 2.5: # 4, 10, 16

Mar 9

Section 2.8 Subspaces of Rn
Section 2.9 Dimension and Rank
8
Mar 7, 9
Section 3.1 Introduction to Determinants
Section 2.8: # 38
Section 2.9: # 24
Section 3.1: # 42
Section 3.2: # 34
Section 3.3: # 4, 6, 31

Mar 23

Section 3.2 Properties of Determinants
Section 3.3 Cramer’s Rule, Volume, and Linear Transformations
9
Mar 13-18
Spring break
10
Mar 21, 23 Section 4.1 Vector Spaces and Subspaces

Section 4.1: # 32
Section 4.2: # 34
Section 4.3: # 28


Mar 30

Section 4.2 Null Spaces, Column Spaces, and Linear Transformations
Section 4.3 Linearly Independent Sets; Bases
11
Mar 28, 30 Section 4.4 Coordinate Systems

Section 4.4: # 38
Section 4.5: # 34
Section 4.6: # 32
Section 4.7: # 1, 4, 6, 10, 12, 14


Apr 6

Section 4.5 The Dimension of a Vector Space
Section 4.6 Rank
Section 4.7 Change of Basis
12
Apr 4
Section 5.1 Eigenvectors and Eigenvalues
Section 5.1: # 26, 27
Apr 13
Apr 6 Sections 2.1-2.5, 2.8, 2.9, 3.1-3.3, 4.1-4.7
MIDTERM 2
13
Apr 11, 13
Section 5.2 The Characteristic Equation
Section 5.2: # 25
Section 5.4: # 2, 4, 6, 8, 12, 16, 30

Apr 20

Section 5.3 Diagonalization
Section 5.4 Eigenvectors and Linear Transformations
14
Apr 18, 20 Section 6.1 Inner Product, Length, and Orthogonality

Section 6.2: # 25
Section 6.3: # 23, 24


Apr 27

Section 6.2 Orthogonal Sets
Section 6.3 Orthogonal Projections
15
Apr 25, 27 Section 6.4 The Gram-Schmidt Process


Section 6.5 Least-Squares Problems
Section 6.6 Applications to Linear Models
16
May 2, 4
Section 6.7 Inner Product Spaces Section 6.7: # 4, 6, 8, 9, 10, 22, 24 May 4
Section 7.1 Diagonalization of Symmetric Matrices
Section 7.2 Quadratic Forms
17
May 10 (Wed) 7:00-10:00
 
TTH 11:00-12:30 group (54615)
Cumulative
FINAL EXAM


May 15 (Mon) 2:00-5:00
TTH 12:30-2:00 group (54625)