Lynchburg CollegeSpring 2019 Syllabus forMATH 307 A Linear Algebra

Instructor: Dr. Kevin Peterson
Text (provided by instructor:) David C. Lay, "Linear Algebra and its Applications", 2nd Ed, Addison Wesley Longman

Office:
Hobbs 314      Phone: 434 544 8374

Office hours: Office hours: Monday, Wednesday 9:00-11:00 am ·  or by appointment.
Course: 307 LINEAR ALGEBRA (3)

Prerequisite: Math 260 or equivalent strongly recommended.

COURSE OBJECTIVES

Students will meet these goals by achieving the following objectives:

• Inquire: frame questions that address issues and uncertainties across a range of disciplines. The student will:

• recognize precise and complete statements of problems.

• recognize what information is necessary in order to solve given problems.

• Explore: investigate issues in depth and detail. The student will:

• think creatively about possible solutions to problems.

• employ knowledge and techniques of mathematical problem solving to explore problems.

• comprehend given problems, reading assignments, and the arguments of others.

• Conclude: develop informed responses to issues. The student will:

• marshal evidence in support of a solution to a problem or conclusion in an argument.

• articulate an appropriate conclusion based on the evidence.

• Persuade: convince others of the validity and value of conclusions. The student will:

• produce precise and complete statements of solutions to problems.

• construct effective written arguments based in evidence, reason and understanding.

• deliver effective oral arguments based in evidence, reason and understanding.

• Engage: use knowledge and abilities for the good of self and society. The student will:

• describe applications of problem solving techniques in other disciplines.

• value achievements in Mathematics for their intrinsic worth.

• work effectively with other members of a group to solve problems and present their solutions.

Portfolio:

Each student should keep a portfolio of their work in a 3-ring binder. The format and requirements of the portfolio are listed below.

The goal of keeping this portfolio is :

1. To give you appropriate credit for the homework done for this course.

2. To help you organize your work in a meaningful way so that it may be more easily studied later.

4. To encourage you to revisit important definitions and theorems as they apply.

Useful Format:

1. Clearly label each chapter and section.

2. Include every assigned homework problem for each section.

3. Include all graded tests, quizzes, and projects from that section (at the end of the section).

4. Do not include class notes.

5. Neatly write each problem statement.

6. Write the definition of every mathematical term in the problem.

7. Write down each theorem that you needed to solve the problem.

8. Include the solution to the problem.

9. If you can not solve the problem, in a different color, write a short description of where and why you are stuck.  "I got stuck" or "couldn't get started" are not appropriate descriptions.

10. Finally, if you were stuck on a problem write down the solution after we have gone over it in class.

Chapter 1: Linear Equations in Linear Algebra

Chapter 2: Matrix Algebra

Chapter 3: Determinants

Chapter 4: Vector Spaces

Chapter 5: Eigenvalues and Eigenvectors

Chapter 6: Orthogonality and Least-Squares