Math 314 Linear Algebra

Ma th 314 Li near Alg ebra

I. GE NE RAL IN FORMA T ION Instructor: Claudia M Aprea E-mail address: c m a p r ea @nnm c . e du Office Number: GED #112 Office Phone: (505)747-2268 Credit Hours: 3 Office Hours: M&W 12:30-13:45

II. COUR S E D ES CRI P T ION 314 LINEAR ALGEBRA WITH APPLICATIONS You will study systems of linear equations, matrices, linear transformations, eigenvalues and eigenvectors, determinants, and computational methods. Prerequisite: MATH 163. (3, 3T+0L)

This course meets the following College Wide Goals.

A. Communication: Students will present problems to the entire class and smaller groups. Students will be required to complete a small application project and present it to the class in PowerPoint. B. Critical thought: Students are required to analyze and synthesize information and draw reasoned conclusions, this will be more evident in the project. C. Cultural Competence: Students will learn about the historical development of Linear Algebra and its applications. Cultural topics may be part of the project. D. Information Competency and Research: Students will use online resources to complete their homework, specifically Blackboard and Matlab.

III. TE XT AND M A TE RIA L S

Elementary Linear Algebra by Larson, 7th Edition IV. ST UD E NT LE ARNING OU T CO M E S At the end of this course, students will be able to: • Apply Gaussian Elimination to system of equations. • Identify when systems have no solution, one unique solution and infinitely many solutions. • Perform operations (addition, subtraction, multiplication) with matrices. • Find the inverse of a matrix. • Perform the LU-Factorization of a matrix. Use LU factorization to find maxima or minima. • Find a least squares regression line and make predictions based on actual data. • Find the determinant of a matrix. • Determine spanning sets, linear independence, basis and dimensions. • Use inner products. • Apply the Gram-Schmidt process. • Find eigenvalues and eigenvectors of a matrix. Apply theory to systems of ordinary differential equations.

V. GRADI NG

• Homework: Regular homework will be assigned during the week to be completed by the first class of the following week. Late homework: a penalty of 10% will be applied for each week. • Quizzes: Regular quizzes may be administered during class to assess understanding of class material. • Presentations and Project: There are four main sections in Calculus III, students will be required to present one problem per section from the homework to their peers. Students are required to complete a project (individual or as part of a group of no more than three persons depending on the complexity of the topic) that must be presented in class in Power Point Presentation. • Exams: Three exams will be administered. • Final exam: The final exam will be administered during finals week. • Weighting Scheme: Grades will be determined according to the following percentages. 1. Homework: 20% 2. Project/Presentations/Quizzes: 15% 3. Three Exams: 15% each (total: 45%) 4. Final: 20% Course Grading Scale: A+ =99 –100% ;A = 93 –98% ;A- =90 – 92%; B+ =88 – 89%; B = 83 – 87%;B- =80 – 82%; C+ =78 – 79%; C = 70 – 77%; C- =68 – 69%; D+ =66 – 67%; D = 63 – 65% ; D- =60 – 62%; F =0 – 59% VI.TENTATIVE SCHEDULE (Dates are subject to change)

weeks 1- 2

weeks 3 - 4

weeks 5 - 6

weeks, 7 -8

week 9 I SPRING BREAK

weeks 10 -11

weeks 12-13

weeks 14-15 Schedule for Exams:

Exam 1: Chapters 1-2-3 Week 5 or 6 Exam 2: Chapters 4-5 Week 10 or 11 Exam 3: Chapters 5 & 7 Week 14 or 15

VII. STUDY ASSISTANCE:

Northern New Mexico College provides tutors at the Student Success Center and the Math Center. Tutors are available to answer questions and to assist students, but they do not complete students’ homework.

VIII. STUDENTS WITH DISABILITIES:

Northern New Mexico College recognizes its responsibility for creating an institutional climate in which all students can succeed. Northern is committed to providing equitable access to learning opportunities. The Accessibility and Resource Center (ARC) is the campus office that collaborates with students who have disabilities to provide and/or arrange reasonable accommodations. In accordance with Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990; if you have a documented disability, you may request accommodations to obtain equal access and to promote your learning in in all classroom settings. Please contact the Coordinator of Accessibility and Resource Center to inquire about appropriate accommodations. Contact Verna A. Trujillo either via email; v.t r ujillo@nnm c . e du or by phone; ( 505) 747 - 2152 . After your eligibility is determined, you will be given a letter, which when presented to instructors, will help us know best how to assist you.

IX. STUDENT CODE OF CONDUCT AND ACADEMIC DISHONESTY POLICY:

Students in this course and in all college classes are expected to complete their course work in accordance to our College policies. Academic dishonesty on the part of a student including cheating on a test, plagiarism or falsification will be subject to academic sanctions. For more information about academic dishonesty and how such incidents will be handled by your instructor and by the College, please refer to Northern’s student handbook.