Linear equations, matrices, determinants, finite dimensional vector spaces, linear transformations, Euclidean spaces.
Achieve a firm grasp of the basic concepts and computational techniques which center around systems of linear equations, n-dimensional number spaces (a generalization of the familiar analytic description of a plane or of space via coordinates), and matrices. Introduce the more abstract generalizations of these concepts, such as vector spaces and linear transformations. Present a sampling of applications to illustrate the usefulness of these concepts in other disciplines.
Computers now handle most computations in real world applications. Therefore, the course will include an introduction to relevant components of the Computer Algebra System MAPLE V, available on all computing platforms on campus. However, computers do not replace understanding! The understanding of the basic concepts is at least as important as the computational techniques - after all, when you will use linear algebra to solve some problem, it will be your job to tell the computer what to compute. Consequently, work in class, homework assignments, and exams, will emphasize concepts along with simple computations.
Assigned for every class meeting, but will not be collected. Some problems will be discussed at the next class meeting. Reading and studying the text (often rereading several times) is an essential component of your learning experience. It is very important to work regularly, and in a timely fashion, on the exercises in order to test one's understanding of the concepts and techniques, and in order to master the required computational techniques. Many exercises call for written explanations - write them out carefully and completely! You may expect that one or two problems on each exam will be chosen from the assigned homework.
Your course grade will be based on your performance on three one hour exams (about 70%), and on the Final Exam (about 30%). There is no predetermined distribution of grades. Make-ups for missed exams will only be considered upon presentation of written excuse, such as medical note, or parent's note in case of major emergency.
To be announced.
Final Exam: Monday, Dec. 18, 10:30 - 12:30 PM.
Students caught cheating and/or committing other acts of academic dishonesty are subject
to penalties affecting their course grade, and will be referred to the University Judicial System.