MAS2103 - Syllabus PDF

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MAS 2103: Linear Algebra MDC Interamerican Campus Instructor: Dr. Jyrko Correa-Morris Office: 1367 Telephone: 305-237-2431 (Math Department) E-mail: [email protected] Day & Lecture Times: TTh 11:15 am- 12:30 am

Description: This course is designed for students who need a survey course in linear algebra. Fundamental concepts of linear algebra and matrix theory are introduced.

Textbook: Howard Anton and Chris Rorres Elementary Linear Algebra (Application Version) Tenth Edition, Wiley Evaluation: Four assessments and a final exam will be given during the semester. Some of the assessments could be either oral or seminaries. Attendance: Students are expected to attend and participate in class. Mathematics Laboratory: Students are encouraged to attend and use the mathematics laboratory. Cheating: Cheating will not be tolerated in this course. Any student caught cheating will receive an automatic “F” in the course. Incompletes: Incompletes will only be given in the case of extreme circumstances, if the student has a passing average.

STUDENT LEARNING OUTCOMES: Upon successful completion of this course, the student should, at least, be able to: 1. 2. 3. 4. 5. 6.

Formulate solutions to systems of linear equations and interpret these geometrically. Develop the notion of a matrix, evaluate the inverse of a matrix, perform matrix algebra. Define and evaluate the determinant of a matrix. Develop the notion of vectors. Perform vector algebra. Perform the dot product of vectors and know its geometrical properties (angles, norms, distances.) Categorize lines and planes using vectors. Extrapolate these notions to higher dimensions.

7. 8.

9. 10. 11. 12. 13. 14. 15.

Implement the use of vectors in Euclidean n-space. Construct linear transformations from Rn to Rm by using the Fundamental Theorem of Linear Transformations. In particular, the student should know how to construct reflections, rotations, and projections, as well as, their main properties. Axiomitize vector spaces and inner product spaces. Comprehend the concepts of linear combination, span, linear independency, and basis. Define and determine eigenvectors and eigenvalues. Perform operations with linear transformations, compose linear transformations. Represent linear transformations by matrices. Determine the kernel and image of a linear transformation. Know the Kernel-Image theorem and its applications....