I'm Frank Gonzalez and I will be your instructor for Math 26, an Introduction to Linear Algebra. You can call me Frank, Professor Gonzalez, Mr. G., etc..., or any variation that you prefer. I'm glad to welcome you to the course!
This is our Liquid Syllabus, a short and concise syllabus to help get started. A complete syllabus is on the course Canvas site. As you get ready for the college term, this site will be your quick reference for answers to many Frequently Asked Questions about the structure and expectations for this course. If you don't find the answer you need, please reach out to me. I'll be glad to hear from you, and I'm happy to help.
When you're ready to get started in our course, you may login to Canvas.
Linear Algebra is the field of mathematics that formalizes the computations and properties of vectors and matrices and, more generally, with vector spaces and linear transformations. Unlike other parts of mathematics that are frequently invigorated by new ideas and unsolved problems, linear algebra is very well understood. This makes it a very useful tool not only for other mathematical disciplines such as Analysis, but also in engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).
This is an in-person course at Saddleback College with both traditional paper and online assignments.
First Class Meeting On: Monday, August 18, 2025.
The class meets in-person every Monday and Wednesday from 8:30am to 10:20am in GW 361.
The class meetings are required attendance.
Embedded Tutor: This semester we are privileged enough to have an embedded tutor, Saba Safaei! An embedded tutor is a tutor who will not only be assisting us in class but will also be available to help you in the LRC. Her hours in the LRC are as follows:
Monday, 10:30 AM – 1:30 PM
Thursday, 3:00 PM – 7:00 PM
Friday, 8:00 AM – 11:00 AM
As your instructor, I will be actively present in your learning experience.
I will create a positive and supportive environment where you will feel safe to ask questions and take on challenging material.
I will provide clear and concise content and practice materials that helps you learn.
I will respond to your questions within one school day and I will provide feedback on your exams within two weeks.
I understand that you are busy and that you have many competing priorities. When needed, I will be flexible to support your successful completion of this course.
You will establish a weekly study routine (expect about 8 hours per week outside of class) that allows you to complete all assignments and prepare for in-class quizzes and exams.
You will focus on both understanding the concepts and performing the skills of this course, aiming for your own personal best.
You will be a regular and active participant in our learning environment.
You will uphold academic integrity by submitting only authentic work.
You will challenge yourself to try new things, keep an open mind about mathematics, and recognize that mistakes are a vital part of the learning process.
You will be thoughtful in your interactions with peers, while taking extra care to respect diverse perspectives. You will support your classmates as you share this learning space and time.
Teaching is important to me because I value education and learning. To be cliché, knowledge is power. In the past few years my philosophy has changed from one of a lecturer and disciplinary expert to more of a learning facilitator. I believe people not only learn through listening but also by doing. That's why I seek to create a learning environment that makes you, the student, feel welcome and ready to learn. Remember, learning is the goal of any class you take.
We are part of a diverse learning community. That diversity is an asset because you will not only learn from me, but you will also learn from your classmates. We are not all from the same city, state, or even country, but we are together for this class. We have different backgrounds, different strengths, and different perspectives. Let’s learn from one another.
College courses move quickly, and getting off to a good start is an important way to prepare yourself for success. Read this section carefully and you'll have all you need to start this course on the right foot.
You will use Canvas to log into the course and all of the course content and dates.
This is an in-person course.
Each week will have a combination of homework assignments, video notes, online activities, and quizzes with staggered due dates.
The majority of your homework will come from the textbook. Don't worry, digital access to the textbook is covered in class.
Quizzes and exams will be in-person.
Access to Saddleback's Canvas course management system.
Access to your Saddleback email account.
Access to a Computer that is connected to the Internet. Computers are available for you to use onsite at both Saddleback College campus or available to borrow through our Laptop Loan Program. Current students may come to the Library during open hours and check out a Chromebook at any time. No reservation is needed, but a picture ID and their student ID number is required. If you need assistance with Chromebook software access, please call (949) 582-4600.
Put these dates on your calendar now!
Video notes for Sections 1.1 and 1.2 of the textbook [Due Wednesday, August 20, at 8:30am]
Week #1 Homework which includes homework from Sections 1.1 and 1.2 of the textbook [Due Monday, August 25]
Video notes for Section 1.3 of the textbook [Due Monday, August 25, at 8:30am]
I've been teaching math since 1999, and in that time I've seen a few habits common to students who are successful. So here are my tips and I hope they're helpful!
Use Chrome as your browser. Canvas and your textbook on Pearson+ work best on Chrome. I recommend you download Chrome now if you don't have it installed already.
Log into Canvas multiple times per week with the intention to work on assignments, readings, lecture videos, quizzes, etc. It is beneficial to expose yourself to the material several times through out the week, and not wait to complete all your work at the last minute.
Attend class daily. Class time is your opportunity to explore the course material with your fellow classmates in a controlled environment, led by a discipline expert and professional facilitator, me!
Do your homework each week. In a math class, there is no substitute for consistent practice. And that's what homework is: a prescribed routine of practice.
Do the Test Reviews. For each test, I will give you a review which will correlate to the material and types of questions you will see on the exam.
Communicate with me. If you have a question on the material reach out to me either through the Canvas Inbox or email. If you think that you might not be able to meet a due date, contact me. We'll work out an extension that will support you but also keep you on track for success.
This course is designed to expose you to Linear Algebra and prepare you for upper division STEM courses and beyond.
Students who successfully complete Math 26 will be able to:
Find solutions of systems of equations using various methods
Use bases and orthonormal bases to solve problems in linear algebra
Find the dimension of spaces such as those associated with matrices and linear transformations
Use appropriate proof-writing techniques to prove basic results in linear algebra such as linear independence of vectors; properties of subspaces; linearity, injectivity and surjectivity of functions; and properties of eigenvectors and eigenvalues
The community at Saddleback College is here to help you be successful. These Student Support Resources are here to guide and support you not only through your courses, but through your hard, real-life experiences. I encourage you to think about how each of these resources can help you achieve your goals.
C.A.R.E. Corner - Student Basic Needs Support Program connecting you to many of our resources such as Counseling, the Student Health Center, housing and more!
Student Technical Help is here to assist Saddleback students with accessing their college-related accounts, which may include Canvas, MySite, student email, wireless on-campus access, on-campus computers and printers/copiers, and more. Student Technical Support is available in-person and online.
Admissions and Records Here to help you apply, register, and verify records.
Disabled Student Programs and Services Support services, specialized instruction, and educational accommodations for students with disabilities.
Financial Aid Support with your financial aid application, available funding to offset educational costs, and navigating the document portal.
The best way to reach me is via email, fgonzalez@saddleback.edu , or through the Canvas Inbox. If you feel the need to verbalize your questions, you can leave a message at (949) 582 - 4828.
If you encounter a general question about the course, I invite you to ask it in the Q&A Discussion board on Canvas. Your question will be seen by your peers and if anyone has the answer -- by all means, answer it! If your question is personal in nature, please send it directly to me through email or the Canvas Inbox.