3570 Timpview Dr. Provo, Utah 84604 Phone: (801)221-9720 Fax: (801)224-4210

Linear Algebra

Course Description/Overview/Welcome Statement

Teacher: Anne Crosland

E-mail: annec@provo.ed

School: 221-9720 ext. 3608

Course: This course is designed for those students who have successfully completed Beginning and Intermediate Algebra, Geometry, Trigonometry, (Secondary Math I, II and III ) and College Algebra and/or Pre-Calculus and Calculus. The general topics that we will cover are Matrices, Vectors, Vector spaces, Eigenvalues, Eigenvectors, and Linear Transformations. There will be homework nearly every day. Students work at different speeds, but students should allow at least one hour for homework every day.

Learning Expectations

Assessment of Progress

Course Materials

Textbook: Elementary Linear Algebra 8th Ed. By Howard Anton, Chris Rorres

Calculators: I will be making limited use of the TI83 (Texas Instruments) calculator in my class. If you have any of the following calculators; TI82, TI83, TI85, TI86, TI89 and you know (or are willing to learn on your own) how to use them, you will be fine. The Math department has calculators to rent for $20 per year and you can do so by paying for the rental in the bookstore then taking the receipt to Mrs. Gerstner (library), and filling out the rental agreement form.

Classroom Procedures

Attendance: Missing class will affect your grade as it is easy to get behind and difficult to catch up. Truancies, tardies, and absences will also affect your grade as explained in the Timpview High School Attendance Proceedures in the Timpview Handbook. You may earn an extra 2% by having no tardies and at most one excused absence per term.

 

Grading: There will be approximately four chapter tests this semester, and usually an assignment every day. Seventy-five percent (75%) of your grade will be determined by your average test score and the other twenty-five percent (25%) will be determined by homework and quiz scores. Late homework is only worth half credit and will be accepted up until the current chapter test. After the chapter test, late homework will not be accepted. Also, missing a test and taking it late will result in a 5% reduction the first time, 10% the second time and 15% the third. I use the standard grading scale for Timpview. 94% and above = A, 90-93% = A-, 87-89% = B+, 83-86% = B, 80-82% = B-, etc.

Calendar of Due Dates for Major Assignments

Course Plan

 

Term 1

Systems of Linear Equations and Matrices

1.1 Introduction to Systems of Linear Equations, 1.2 Gaussian Elimination, 1.3 Matrices and Matrix Operations, 1.4 Inverses; Rules of Matrix Arithmetic, 1.5 Elementary Matrices and a Method for Finding A-1, 1.6 Further Results on Systems of Equations and Invertibility,

1.7 Diagonal, Triangular, and Symmetric Matrices                                        TEST Chapter 1

 

Determinants

2.1 The Determinant Function, 2.2 Evaluating Determinants by Row Reduction, 2.3 Properties of the Determinant Function, 2.4 Cofactor Expansion; Cramer’s Rule             TEST Chapter 2

 

Term 2

Vectors in 2-Space and 3-Space

3.1 Introduction to Vectors (Geometric), 3.2 Norm of a Vector; Vector Arithmetic, 3.3 Dot Product; Projections, 3.4 Cross Product

 

Euclidean Vector Spaces

4.1 Euclidean n-Space, 4.2 Linear Transformations from Rn to Rm, 4.3 Properties of Linear Transformations from Rn to Rm                                                                      TEST Chapter 3 & 4

 

General Vector Spaces

5.1 Real Vector Spaces, 5.2 Subspaces, 5.3 Linear Independence, 5.4 Basis and Dimension,

5.5 Row Space, Column Space, and Nullspace, 5.6 Rank and Nullity           TEST Chapter 5

 

Term 3

 

Inner Product Spaces

6.1 Inner Products, 6.2 Angle and Orthogonality in Inner Product Spaces, 6.3 Orthonormal Bases; Gram-Schmidt Process,

6.4 Best Approximation; Least Squares, 6.5 Orthogonal Matrices; Change of Base                                                                                                                                                 TEST Chapter 6

 

Eigenvalues, Eigenvectors

7.1 Eigenvalues and Eigenvectors, 7.2 Diagonalization, 7.3 Orthogonal Diagonalization                                                                                                                                          TEST Chapter 7

 

Term 4

 

Linear Transformations

8.1 General Linear Transformations, 8.2 Kernel and Range, 8.5 Similarity

 

Additional Topics

9.3 Least Squares Fitting, 11.1 Constructing Curves Through Points                                                                                                                                                                       TEST Chapters 8+

 

 

Review for     FINAL COMPREHENSIVE EXAM

Progress Reports and Report Cards

Please refer to PowerSchool for grade and attendance information.  I update PowerSchool multiple times a day and it should be accurate and current.

 

Connecting Home to School

Personal Statement and other items (optional)

Philosophy and Goals: I love to teach because I take so much joy in seeing you learn. I love mathematics and believe in the power that comes from studying it.

 

I wish to have a classroom in which everyone is treated with respect. I will treat you with respect if you, in turn, will treat each other and me with respect. I fully support Timpview’s attendance policy, academic integrity procedure, and dress code. I intend to follow through with the described action upon misconduct regarding these policies.

 

I have the right and responsibility to teach, you have a right and a responsibility to learn, and no one has the right to infringe on this educational process.

 

WELCOME!   And let’s have a great year!