WAYLAND BAPTIST UNIVERSITY
______CAMPUS
SCHOOL OF MATHEMATICS & SCIENCES
Wayland Mission Statement: Wayland Baptist University exists to educate students in an academically challenging, learning-focused and distinctively Christian environment for professional success and service to God and humankind.
Course Title and Number: MATH 3302-Section; Linear Algebra
Term:
Name of Instructor:
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Office Hours, Building, and Location:
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Catalog Description: Vector spaces, linear independence, bases, linear mappings, inner products, determinants, applications of matrices and eigenvalues.
Prerequisite: MATH 2407 (Calculus II) or MATH 3307 (Mathematical Reasoning and Proof)
Text:*Choose from approved textbook list
Supplies:All students need to have a scientific calculator
Outcome Competencies: Students who successfully complete this course will be able to:
1. Understand definitions, examples, and theorems pertaining to the following fundamental ideas of linear algebra: vectors, dot products, systems of equations, matrices, vector spaces, dimension, linear transformations, orthogonality, eigenvalues, eigenvectors, and least squares approximation.
2. Use direct methods to solve systems of linear equations, and apply these techniques to real world models.
3. Perform basic operations on matrices, calculate the inverse of a square matrix, and calculate determinants using row operations, column operations, and expansion down any column or across any row.
4. Prove elementary statements concerning the theory of matrices, determinants, vector addition, scalar multiplication, inner products, projections, norms, orthogonal vectors, linear independence, spanning sets, subspaces, bases, dimension, and rank.
5. Understand the relationships between a matrix A being invertible, detA, AX=0 having a solution, the rank of A, and linear independence
6. Calculate eigenvalues, eigenvectors, and eigenspaces for a given matrix.
7. Utilize linear algebra tools and concepts to calculate the solution to a least squares approximation problem.
Attendance Requirements: All students are expected to attend all class sessions and are responsible for knowing the material covered. No quizzes or exams can be made up unless arrangements prior to the absence have been made. Any student missing more than 25% of the class will fail the class.
Disability Statement: In compliance with the Americans with Disabilities Act of 1990 (ADA), it is the policy of Wayland Baptist University that no otherwise qualified person with a disability be excluded from participation in, be denied the benefits of, or be subject to discrimination under any educational program or activity in the university. The Coordinator of Counseling Services serves as the coordinator of students with a disability and should be contacted concerning accommodation requests at (806) 291-3765.Documentation of a disability must accompany any request for accommodations.
Course Requirements and Grading Criteria: – suggested
Homework: There will be homework assignments for each section covered. Each section’s assignment counts as one grade. You may work together, but do not copy.No late homework will be accepted. If there are extreme circumstances, contact your instructor.
Exams: During the semester there will be 2-3 unit exams and 1 final exam. The class period prior to each exam will include a review. These exams may include take-home questions. The final exam is comprehensive and all students will be required to take the Final Exam.
Grading:
% Homework
% Exams
% Final
A: 90 – 100 B: 80 – 89 C: 70 – 79 D: 60 – 69 F: Below 60
Students shall have protection through orderly procedures against prejudices or capricious academic evaluation. A student who believes that he or she has not been held to realistic academic standards, just evaluation procedures, or appropriate grading, may appeal the final grade given in the course by using the student grade appeal process described in the Academic Catalog. Appeals may not be made for advanced placement examinations or course bypass examinations. Appeals are limited to the final course grade, which may be upheld, raised, or lowered at any stage of the appeal process. Any recommendation to lower a course grade must be submitted through the Executive Vice President/Provost to the Faculty Assembly Grade Appeals Committee for review and approval. The Faculty Assembly Grade Appeals Committee may instruct that the course grade be upheld, raised, or lowered to a more proper evaluation.
Course Outline:
Chapter 1: Vectors
1.1 The Geometry and Algebra of Vectors
1.2 Length and Angle: The Dot Product
1.3 Lines and Planes
Chapter 2: Systems of Linear Equations
2.1 Introduction to Systems of Linear Equations
2.2 Direct Methods for Solving Linear Systems
2.3 Spanning Sets and Linear Independence
Chapter 3: Matrices
3.1 Matrix Operations
3.2 Matrix Algebra
3.3 The Inverse of a Matrix
3.5 Subspaces, Basis, Dimension, and Rank
3.6 Introduction to Linear Transformations
Chapter 4: Eigenvalues and Eigenvectors
4.1 Introduction to Eigenvalues and Eigenvectors
4.2 Determinants
4.3 Eigenvalues and Eigenvectors of n x n Matrices
4.4 Similarity and Diagonalization
Chapter 5: Orthogonality
5.1 Orthogonality in Rn
5.2 Orthogonal Complements and Orthogonal Projections
5.3 QR Factorization
Chapter 6: Vector Spaces
6.1 Vector Spaces and Subspaces
6.2 Linear Independence, Basis, and Dimension
6.3 Change of Basis
6.4 Linear Transformations
Chapter 7: Distance and Approximation
7.3 Least Squares Approximation
Academic Honesty: Disciplinary action for academic misconduct is the responsibility of the faculty member assigned to this course. The faculty member is charged with assessing the gravity of any case of academic dishonesty, and with giving sanctions to any student involved.
Important Dates: Last day to drop without record
Last day to withdraw with “W”
Last day to withdraw with a “WP/WF”
Last Class
This syllabus is only a plan. The teacher may modify the plan during the course. The requirements and grading criteria may be changed during the course if necessary.
Revised 06/23/15