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MATH 262 (Spring 2016): Introduction to Linear Algebra



Section and Class Number

Section 05 & 16672

Instructor

Jing Li

Contact information:

Office:  Live Oak Hall (LO), Room 1303C
Phone: 818-677-7799
E-mail: jing.li(at)csun(dot)edu

Office hours: Tuesdays 1:00 pm - 2:00 pm & Thursdays 12:45 pm - 1:45 pm or by appointment (email)

Final Exam

May 17, 2016, Tuesday 10:15 am - 12:15 pm, Chaparral Hall Room 5117

Midterm Exams

Midterm Exam 1: (date to be announced) in class.
Midterm Exam 2: (date to be announced) in class.
Midterm Exam 3: (date to be announced) in class.

Lecture times and locations

Tuesdays & Thursdays 11:00 am - 12:15 pm in CR (Chaparral Hall) 5117

Course text

Linear Algebra with Applications (9th edition) by Steven J. Leon, Pearson, 2015.

Other textbooks for your references

Linear Algebra with Applications (5th edition) by Otto Bretscher, Pearson, 2013.

Introduction to Linear Algebra (4th edition) by Gilbert Strang, Wellesley-Cambridge Press, 2009.

Announcements

Course syllabus and tentative timetable

I will post all assigments, solutions and additional material in this space. You should therefore consult this spot frequently.

Course Syllabus (Please read it very carefully!!!)

Week Date Topics covered Homework Homework due date Practice Problems Additional Material
1 Jan 26 & 28 Sec. 1.1: Systems of Linear Equations

Sec. 1.2: Row Echelon Form		 Exercises 1.1 (page 10): 1 (b), (c), 3, 5 (b), (c), 6 (a), (d), (f), (h), 7, 9, 10, 11;

Exercises 1.2 (page 23): 2 (c), (e), (f), 3 (b), (c), (e), 5 (c), (e), (f), (i), (j), 6 (b), 8, 9, 10, 12, 15, 17, 19;
Exercises 1.1 due 02/04/2016

Exercices 1.2 due 02/11/2016 		Exercises 1.1 (page 10): 1 (a), (c), 2, 4, 5 (a), (d), 6 (b), (c), (e), (g), 8;

Exercises 1.2 (page 23): 1, 2 (a), (b), (d), 3 (a), (d), (f), 4, 5 (a), (b), (d), (g), (h), (k), (l), 6 (a), (c), (d), 7, 11, 13, 14, 16, 18, 20, 21, 22;
2 Feb 2 & 4 Sec. 1.3: Matrix Arithmetic

Sec. 1.4: Matrix Algebra 		Exercises 1.3 (page 45): 1, 2 (a), (c), (e), 4, 5, 6, 7, 8, 9, 10 (a), (b), 13;

Exercises 1.4 (page 58): 1, 7, 12, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 28, 29, 34, 35, 36; 		Exercises 1.3 due 02/18/2016

Exercises 1.4 due 02/25/2016
Exercises 1.3 (page 45): 2 (b), (d), (f), 3, 10 (c), 11, 12, 14, 15, 16, 17, 18;

Exercises 1.4 (page 58): 2, 3, 4, 5, 6, 8, 9, 10, 11, 17, 20, 25, 26, 27, 30, 31, 32, 33;
3 Feb 9 & 11 Sec. 1.5: Elementary Matrices

Sec. 1.6: Partitioned Matrices

Quiz 1 		Exercises 1.5 (page 68): 1, 2, 3 (a), (b), 5, 6, 7, 8 (a), (c), 9, 10 (a), (c), (e), (g), 11, 12 (a), (c), 15, 29, 30, 31;

Exercises 1.6 (page 78): 1, 3, 4, 5 (a), (b), 9, 11, 12, 13, 20; 		Exercises 1.5 due 03/01/2016

Exercises 1.6 due 03/03/2016		 Exercises 1.5 (page 68): 3 (c), 4, 8 (b), (d), 10 (b), (d), (f), (h), 12 (b), (d), 13, 14, 16, 17, 19, 21, 22, 23, 24, 25, 26, 27, 32;

Exercises 1.6 (page 78): 2, 5 (c), (d), 7, 8, 14, 15, 16, 17, 19, 21, 22; 		Solutions for Quiz 1

Statistics for Quiz 1
4 Feb 16 & 18 Sec. 2.1: The Determinant of a Matrix

Sec. 2.2: Properties of Determinants 		Exercises 2.1 (page 93): 1, 2, 3 (a), (c), (e), (g), 4 (c), (d), 5, 6, 9, 11;

Exercises 2.2 (page 100): 1, 2, 3 (b), (d), (f), 4, 5, 6, 7, 9, 13, 14, 16;

Exercise 2.1 due 03/10/2016

Exercise 2.2 due 03/17/2016 		Exercises 2.1 (page 93): 3 (b), (d), (f), (h), 4 (a), (b), 7, 8, 10, 12, 13;

Exercises 2.2 (page 100): 3 (a), (c), (e), 8, 10, 11, 12, 15, 17, 18, 19;
5 Feb 23 & 25 Midterm Exam 1

Sec. 2.3: Additional Topics and Applications

Exercises 2.3 (page 108): 1 (a), (c), 2 (a), (c), (e), 3, 4, 5, 9; Exercise 2.3 due 03/17/2016

Exercises 2.3 (page 108): 1 (b), (d), 2 (b), (d), 6, 7, 8, 10, 11, 12, 13;

Solutions for Midterm 1
Statistics for Midterm 1
6 Mar 1 & 3 Sec. 3.1: Definition and Examples

Sec. 3.2: Subspaces

Exercises 3.1 (page 118):1, 4, 5, 7, 8, 11;

Exercises 3.2 (page 128):1 (a), (c), (e), 2 (a), (c), 3, 4 (b), (c), 5, 8, 9 (a), (c), 11, 12, 13, 15, 18, 19;

Exercise 3.1 due 03/29/2016

Exercise 3.2 due 04/07/2016
 Exercises 3.1 (page 118): 2, 3, 6, 9, 10, 12, 13, 14, 15, 16;

Exercises 3.2 (page 128): 1 (b), (d), 2 (b), (d), 4 (a), (d), 6, 7, 9 (b), (d), 10, 14, 16, 17, 20, 21, 22, 23;
7 Mar 8 & 10

Sec. 3.3: Linear Independence

Sec. 3.4: Basis and Dimension
Exercises 3.3 (page 140): 1 (a),(c),(d), 2 (a),(b),(c),(e), 3 (b),(c),(d), 4 (a), (c), 5, 7, 13, 14, 15, 19;

Exercises 3.4 (page 146): 1 (a),(c),(d), 2 (a),(b),(c),(e), 3, 4, 5, 8, 10;
Exercise 3.3 due 04/12/2016

Exercise 3.4 due 04/12/2016

Exercises 3.3 (page 140): 1 (b),(e), 2 (d), 3 (a),(e), 4 (b), 6, 8, 9, 10, 11, 12, 16, 17, 18, 20;

Exercises 3.4 (page 146): 1 (b),(e), 2 (d), 6, 7, 9, 11, 12, 13, 14;
8 Mar 15 & 17 Sec. 3.5: Change of Basis

Sec. 3.6: Row Space and Column Space

Quiz 2

Exercises 3.5 (page 156): 1 (a),(b), 2 (a),(b), 3 (a),(b), 4, 5, 6, 7;

Exercises 3.6 (page 162): 1 (a),(b), 2 (a),(c), 3, 4 (a),(b),(e), 5 (a),(e), 8, 9, 14, 15, 17;		 Exercises 3.5 due 04/12/2016

Exercises 3.6 due 04/19/2016 		Exercises 3.5 (page 156): 1 (c), 2 (c), 3 (c), 8, 9, 10, 11;

Exercises 3.6 (page 162): 1 (c), 2 (b), 4 (c),(d),(f), 5 (b),(c),(d),(f), 6, 7, 10, 11, 12, 13, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30;


Solutions for Quiz 2

Statistics for Quiz 2
9 Mar 22 & 24 Spring Recess; No Instruction



10 Mar 29 & 31

Sec. 4.1: Definition and Examples

Cesar Chavez Holiday; Campus Closed

Exercises 4.1 (page 177): 1 (b),(d),(e), 2, 3, 4, 5 (c),(d), 6 (a),(b), 7 (b),(c), 9 (a),(b), 10, 11 (a),(b), 17, 18, 19 (a),(c);


Exercises 4.1 due 04/19/2016
Exercises 4.1 (page 177): 1 (a),(c), 5 (a),(b), 6 (c),(d), 7 (a),(d), 8, 9 (c), 11 (c),(d), 12, 13, 14, 15, 16, 19 (b), 20, 21, 22, 23, 24, 25;



11 Apr 05 & 07 Sec. 4.2: Matrix Representation of Linear Transformations

Midterm Exam 2 		Exercises 4.2 (page 190): 1 (a),(c),(e), 2 (a),(b), 3, 4 (a),(b), 5, 6, 7, 8, 14 (a),(b), 18 (a),(c) ; Exercises 4.2 due 04/26/2016 Exercises 4.2 (page 190): 1 (b),(d), 2 (c), 4 (c), 13, 14 (c),(d), 15, 16, 18 (b), 19, 20; Solutions for Midterm 2
Statistics for Midterm 2
12 Apr 12 & 14 Sec. 4.3: Similarity

Sec. 5.1: The Scalar Product in R^n 		Exercises 4.3 (page 197): 1 (a),(c),(e), 2, 3, 4, 5, 6, 7, 12;

Exercises 5.1 (page 215): 1 (a),(b), 2 (a),(b), 3 (a),(c), 4, 5, 6, 7, 10, 12, 13, 17;

Exercises 4.3 due 04/26/2016

Exercises 5.1 due 05/03/2016 		Exercises 4.3 (page 197): 1 (b),(d), 8, 9, 10, 11, 13, 14, 15;

Exercises 5.1 (page 215): 1 (c),(d), 2 (c),(d), 3 (b),(d), 9, 11, 14, 15, 18, 21;
13 Apr 19 & 21 Sec. 5.2: Orthogonal Subspaces

Sec. 5.3: Least Squares Problems 		Exercises 5.2 (page 224): 1, 2, 3, 4, 9, 12;

Exercises 5.3 (page 237):1, 2, 3, 4, 5, 6; 		Exercises 5.2 due 05/10/2016

Exercises 5.3 due 05/10/2016 		Exercises 5.2 (page 224): 5, 6, 7, 8, 10, 11, 13, 14, 15, 16, 17;

Exercises 5.3 (page 237): 7, 8, 9, 10, 11, 12, 13;
14 Apr 26 & 28 Sec. 5.4: Inner Product Spaces

Sec. 5.5: Orthonormal Sets 		Exercises 5.4 (page 246): 1, 2, 3, 4, 7, 8, 9, 10, 11, 15, 16, 32;

Exercises 5.5 (page 263): 1, 2, 4, 5, 6, 7, 8; 		Exercises 5.4 due 05/12/2016

Exercises 5.5 due 05/12/2016 		Exercises 5.4 (page 246): 5, 6, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33;

Exercises 5.5 (page 263): 3, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 31, 33;
15 May 3 & 5 Sec. 5.6: The Gram-Schmidt Orthogonalization

Sec. 6.1: Eigenvalues and Eigenvectors 		Exercises 5.6 (page 274): 1, 2, 3, 5, 7, 8;

Exercises 6.1 (page 299): 1, 2, 4, 7, 8, 13, 14, 16, 18, 21 ; 		Exercises 5.6 due 05/12/2016

Exercises 5.6 (page 274): 4, 6, 13, 14, 15;

Exercises 6.1 (page 299): 3, 5, 6, 9, 10, 11, 12, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30;
16 May 10 & May 12

Sec. 6.3: Diagonalization

Midterm Exam 3 		Exercises 6.3 (page 327): 1, 2, 3, 5;
Exercises 6.3 (page 327): 4, 6, 7, 8, 9, 10, 12, 18, 19, 20;
Solutions for Midterm 3
17 Final Exam Week Final Exam on May 17 on Classroom CH 5117



Copyright © 2009 Jing Li