Office: 4214 SAS Hall

Office Hours: Mon. Wed. Fri. 11:00 - 12:00

Phone Number: 919 515 7864

E-mail address: jack@math.ncsu.edu

**2. Goals and Objectives**:

To introduce students to the basic concepts from linear algebra and matrix theory.

**3. Textbook**:

Linear Algebra with Applications, Ninth
Edition by Steven J. Leon,

2014, Pearson Prentice Hall,
ISBN-13: 978-0321962218

For price, call NCSU bookstore at
919-515-2161

**4. Schedule**:

no. of lectures Section Topics

4
1.1,1.2
Linear systems of equations, elementary row operations,
row echelon form

of a matrix, Gauss elimination

5
1.3-1.6
Matrix algebra:
definition of a matrix, operations with matrices and their

properties, invertible matrices, inverse of a matrix.
Elementary matrices

and LU factorization. Partitioned matrices

3
2.1-2.3
Determinants and
their properties; applications of determinants: finding

the inverse of a matrix, Cramer's Rule

2 Review and Exam 1

6
3.1-3.6
Vector spaces: axioms,
subspaces, spanning sets, linear independence of

of vectors. Basis and dimension of vector space, coordinate
matrix,

fundamental subspaces associated with a matrix, the relationship
between

the rank and the nullity of a matrix

2 Review and Exam 2

3
4.1-4.3
Linear transformations:
definition, examples, matrix representation of linear

transformations between Euclidean vector spaces, similarity
between matrices

2
5.1,5.4
Scalar product in
R^{n}. Inner product spaces

3 5.5-5.6 Orthogonal and orthonormal sets/bases, Gram-Schmidt process

2 Review and Exam 3

2 6.1,6.3 Eigenvalues and eigenvectors, diagonalization of a matrix

8
6.4-6.7
Hermitian matrices,
singular value decomposition, quadratic forms, positive

definite matrices

1 Review for final exam, given on Monday May 2, 8-11am.

**5. Tentative schedule of reading assignments**

Students are expected to read sections
of the text at the same

time they are covered in class.

**6. Tentative schedule of homework due dates, quizzes
and tests**

Homework is assigned almost every day.

Three exams, the date for each to be given at least one week in advance.

**7. Determination of grades**: + and - system will
be used.

Each of the three exams will count 25% each. The final exam will also count 25%.

The final average will determine middle C.

A and B ranges will be on an
approximate 10 point basis, with + - set at the

extremes of
the cut-offs.

For students missing 5 or less days of
class, their final average will be the larger

of the averaged 4 exams and the
final exam.

Attendance: Required

**8. Policy on incomplete grades**:

Incomplete grades will not be given.

**9. Policy on absences (excused and unexcused) and scheduling
makeup work**:

The attendance policy is consistent with the Academic Regulations which can be found at (link)

Concerning the H1N1 flu, please follow the draft contained in the "Class Attendance Policy" section of (link)

More information is available at (link)

Students are expected to follow university guidelines available at (link)

Information can be found at (link)

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