This class was tough.
I would recommend this class because it clearly demonstrates the true meaning of how to solve math problems. It is deeper, more in depth with logic, theorems, and algorithms used in applying math formulas and solutions. It is a tough class, not easy by any means. The level of difficulty truly represents how the way we should approach math in the real world. It is amazing how much real life problems can be solve by applications of matrices and their concepts and theorems. When finishing this course, you will truly have a deeper understanding of solving math problems in everyday real world applications.
The highlights were the many applications of matrices. Understanding the theorems applied in the applications of matrices is the heart and core of linear algebra. You might have learned in high school from calculus or algebra about using matrices, but that was only touching the surface. Linear algebra helped me to learn the different ways of using matrices. Some methods include reducing all rows of an N x N matrix, using matrices to solve system of linear equations, the inverse of a matrix using row operations, the determinant, the null space, the basis of a null space, vector space, the kernel, the range, and finding the set that spans the space, and others.These were unique in its own way, and some expanded to a wider range of new theorems and definitions.
Hours per week:
Advice for students:
Before course starts, always, let me repeat, always be prepare for any materials to be presented the next class session. Read the textbook, even though we didn't need one, but I strongly encourage, and also do the exercises. Study at least 2-3 hours each day to fully understand the theorems because they are the heart of understanding linear algebra. If you don't understand or solve theorems, you will not pass the class, which I guarantee.