Office: 4214 SAS Hall
Office Hours: Mon. Wed. 5:00 - 6:30
Phone Number: 919 515 7864
E-mail address: jack@math.ncsu.edu
First exam from spring '16
Second exam from spring '16
Third exam from spring '16
Final exam from spring '16
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,
2015, Pearson Prentice Hall, ISBN-13: 978-0321962218
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 Rn. 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
1
Review for final exam, given on Monday December 16, 1-4pm.
5. Tentative schedule of reading assignments:
6. Tentative schedule of homework due dates, quizzes
and tests:
7. Determination of grades:
8. Attendance:
Required
definite matrices
Students are expected to read sections
of the text at the same time they are covered in class.
Homework is assigned almost every day.
Three exams, the date for each to be
given at least one week in advance.
+ 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.