- #1
flyingpig
- 2,579
- 1
any good books? Reason for this is because my college highly recommands Linear Algebra for Calc IV, I have Calc III already, but they highly recommend Linear Algebra, so I don't want to take the risk.
Newtime said:Why not just take linear algebra? Also, I'm assuming calc IV = ODE's? If this is true, most of your work will be with systems of ODE's so you'll need some basic matrix algebra. Strang's "Introduction to Linear Algebra" is not only a solid linear algebra text but really good if you want to become adept at working with matrices. Although, this is exactly why some professors have qualms with it...
Rasalhague said:I've been using D. H. Griffel: Linear Algebra and its Applications (Volumes 1 and 2). The Khan Academy has some great videos, including a linear algebra section:
http://www.khanacademy.org/
Videos and other materials from Gilbert Strang's linear algebra course at MIT are available here:
http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/CourseHome/index.htm
The second of these pages of short videos by Selwyn Hollis includes a section on linear algebra that covers some key concepts:
http://www.math.armstrong.edu/faculty/hollis/calcvideos/
http://www.math.armstrong.edu/faculty/hollis/DEvideos/
Linear Algebra is a branch of mathematics that deals with linear equations, matrices, and vector spaces. It is used to solve complex mathematical problems and is applied in many fields, including physics, engineering, and computer science.
Linear Algebra is a fundamental subject that forms the basis of many advanced mathematical concepts and applications. Self-studying Linear Algebra can help individuals deepen their understanding of mathematics, improve problem-solving skills, and prepare for more advanced courses in the future.
A basic understanding of algebra, geometry, and calculus is recommended before starting self-study in Linear Algebra. Familiarity with concepts such as matrices, vectors, and systems of linear equations will also be beneficial.
There are several ways to effectively self-study Linear Algebra. These include utilizing online resources such as video lectures and practice problems, working through textbooks and exercises, and seeking help from online forums or study groups. It is also important to regularly review and practice concepts to reinforce understanding.
Linear Algebra has numerous real-life applications, including data analysis, computer graphics, machine learning, and cryptography. It is also used in fields such as engineering, economics, and physics to model and solve complex systems and problems.