This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Elementary Linear Algebra -- Spring 2018

### From Mathematics Is A Science

**MTH 329 – Elementary Linear Algebra.** Systems of linear equations, matrices and determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and applications. PR: ACT Math 27 or MTH132 or MTH229 or IST131. 3 Credit Hours

- Time and Place: 3:00 pm - 3:50 pm MWF at 511 Smith Hall.
- Instructor: Peter Saveliev (call me Peter).
- Office: Smith Hall 713.
- Office Hours: MW 4:00, TR 3:00, or by appointment.
- Office Phone: x4639.
- E-mail: saveliev@marshall.edu.
- Class Web-Page: math02.com.
- Prerequisites: excellent algebra skills, working knowledge of basic Euclidean geometry, good understanding of functions -- same as for Calculus I.
- Text: the lecture notes.
- Outcomes: the student will learn vector algebra and matrix algebra and how to apply them.
- Computer Restrictions: graphic calculator TI-83 or TI-83+.
- Activities: the student will practice each outcome via the homework given in the textbook and online.
- Evaluation: the student achievement of each outcome will be assessed via:
- in-class quizzes;
- online quizzes: based on the course material, provided by Webwork, http://webwork.marshall.edu/webwork2/S18-Math-329-Saveliev/;
- in-class tests.

- Grade Breakdown:
- participation: $5\%$,
- quizzes: $30\%$,
- midterm: $25\%$,
- final exam: $40\% $,

i.e., the total score is the following weighted average of the five scores: $$\text{TOTAL }= .05 \times P + .30\times Q + .25\times M + .40\times F.$$

For other details, see **Course policy**.

## 1 Lectures

They will appear here as the course progresses.

Notes:

Reading:

- https://en.wikipedia.org/wiki/Linear_map#Matrices
- https://en.wikipedia.org/wiki/Transformation_matrix#Finding_the_matrix_of_a_transformation

Chapters and sections:

- Functions (whole chapter)
- Operations on functions (whole chapter)
- The coordinate system for dimension 3
- Euclidean spaces and Cartesian systems of dimensions 1, 2, 3,...
- Geometry of distances
- Vectors
- Algebra of vectors
- Components of vectors
- Lengths of vectors
- Angles between vectors and the dot product
- Projections
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YouTube playlist: Elementary Linear Algebra

## 2 Tutoring

The math tutoring lab will be open this semester, starting the second week of classes, in Smith Hall 625. The hours are 10-4 and 5-6:30 MTWR and 10-noon Friday. Follow the link to the information page.

As usual, they offer free drop-in tutoring for math and statistics classes through Calc 3.

The lab will open on the second week of classes and running through the end of the semester. The lab is not open during finals week.

Also, the university tutoring center is in Smith Communications on the second floor.

## 3 Exams

Upcoming:

- Elementary Linear Algebra -- Spring 2018 -- midterm, Wednesday March 14
- Elementary Linear Algebra -- Spring 2018 -- final exam, Monday April 30, 3:00 - 5:00 pm