Spring 2025
Math 235.06 Introduction to Linear Algebra
Spring 2025
Math 235.06 Introduction to Linear Algebra
This is the course page for section 6 of Math 235. For the course-wide webpage of Math 235 with the common guidelines for all sections, please read here.
Instructor: Chujiao Zhang
Email: chujiaozhang@umass.edu
Class Meetings: MW 4-5:15pm in Goessmann Lab. Addtn room 51.
Office: LGRT 1423C
Office hours: Monday and Wednesday 5:15-6:30pm(after class) in Groessmann rm 51
Course Description
Math 235 is an introductory course on linear algebra, covering systems of linear equations, matrices, linear maps, determinants, vector spaces, eigenvalues and eigenvectors, and orthogonality.
Textbook
The course text is Linear Algebra and its Applications (6th edition) by David Lay, Steven Lay & Judi McDonald.
Homework:
Written homework sets (submitted on Gradescope)
Solutions
HW8 solution
Late homework policy: We don't allow extension for homework, but will drop the two lowest scores instead.
Online homework: Online homework and quizzes will be assigned through MyMathLab.
You will have 8 attempts for homework problems and only two attempts for quizzes.
Students who miss deadlines for MyMathlab assignments can attempt them for 50% credit within a limited time.
Everyone has free access for 14 days and can register for temporary access before the add/drop date.
Please stay up-to-date on all upcoming due dates.
Course Discussion Board
Every student enrolled in this section will be invited to a G-chat space. You can discuss questions, ask your peers questions and study and prepare for exams together.
Announcement
The announcements sent by emails to all students will be collected here.
Course Schedule
Week 1
No class
Week 2
2/3_1.1 Systems of linear equations; 1.2 Row reduction and echelon forms.
2/5_1.3 Vector equations.
Week 3
2/10_1.4 The matrix equation AX=B; 1.5 Solution sets of linear systems
2/12_1.7 Linear independence; 1.8 Introduction to linear maps
Week 4
2/17_No class (Presidents' day)
2/19_1.9 The Matrix of a Linear Map
2/20 (Monday class on Thursday)_1.6 & 1.10 Applications of Linear Algebra
Week 5
2/24_Chapter 1 Review
2/26_Chapter 1 Review
Week 6
3/3_2.1 Matrix operations
3/4: Exam I, ILC Room S211 (Students with accomodations in LGRT A201)
3/5_2.2 The inverse of a matrix
Week 7
3/10_2.3 Characterizations of invertible matrix & 3.1 Introduction to determinants
3/12_3.1 Introduction to determinants & 3.2 Properties of determinant
Week 8
3/17_No class (Spring break)
3/19_No class (Spring break)
Week 9
3/24_3.3 ; 4.1 4.2
3/26_4.3 & 4.4
Week 10
3/31_4.5 & 4.6
4/2_Exam 2 Review
Week 11
4/7_Exam 2 Review
4/8_Exam II
4/9_5.1 Eigenvalues, egienvectors and eigenspaces & 5.2 The characteristic equation
Week 12
4/14_5.3 Diagonalization
4/16_5.3 Diagonalization
Week 13
4/21_6.1
4/23
Week 14
4/28
4/30
Week 15
5/5
5/7