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Course Description :

This is an introductory course emphasizing techniques of linear algebra with applications to science and engineering; topics include matrix operations, determinants, linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors, inner products and norms, and orthogonality.

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Course Policies:

**Homework**: Homework will be assigned during every class period, and shall be collected at the end of the next Friday lecture.
The homework is essential for learning the material. Late homework will not be accepted.
A random selection of problems will be graded.
The homework and its solutions are posted
**here**.

**Tutoring**: For help with the homework and general questions, there will
be tutoring sessions. Free walk-up tutoring help for Math 415 can be found Monday through Thursday, 7:00 - 9:00 pm,
in 1 Illini Hall (enter via the South door), beginning February 1.

** Quizzes**: A short quiz will be given during the last 15-20 minutes
of the class on Fridays. There will be no make-up quizzes. Information on the quizzes (including their solutions) can be found **
here**.

**Midterm Exams**: There will be three Midterm Exams, given in class. I do not give make-up exams.
If you miss an exam and have a valid excuse, the exam will not be taken into account when computing the overall exam average. Detailed exam syllabi will be posted about one week before each exam date. The exam dates are

Exam 1: Friday, February 18. Sections 1.1-1.5 and 2.1-2.3 (Chapters 1 and 2).
There will be a general revision for exam 1 during the class of Wednesday February 16.
Here are the solutions for exam 1.

Exam 2: Friday, March 18. Chapters 3 and 4. There will be a general review for exam 2 during the class of Wednesday March 16.
Here are the solutions for exam 2.

Exam 3: Friday, April 15. Chapter 5 (Sections 5.1-5.6).There will be a general review for exam 3 during the class of Wednesday April 13.
Here are the solutions for exam 3.

**Final Exam**: The final exam will be comprehensive. It is scheduled on Tuesday May 10, 7:00-10:00 pm in 223 Gregory Hall (our usual classroom).
There will be two reviews for the final exam during the last week of instruction May 2nd-May 4th.
Here is a list for problems for practice.
The material of the review is here.

Material on which you will be tested on the Final:

Chapter 1: Sections 1.1-1.5.

Chapter 2: Sections 2.1-2.3.

Chapter 3: Sections 3.1-3.6.

Chapter 4: Sections 4.1-4.3.

Chapter 5: Sections 5.1-5.6.

Chapter 6: Sections 6.1-6.4.

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Grading Policies:

Your grade for the course will be determined by a weighted average of your scores for weekly quizzes, three midterms and a final. The weights of each will be:

Homework= 10%. The lowest 4 homework grades will be dropped.

Quizzes = 10%. The lowest quiz grade will be dropped.

Midterms= 50%.

Final = 30%.

Students registered for the class can view their final grades

here. You will need your NetID and password.