MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
MIAMI-DADE COLLEGE, North Campus
Department of Mathematics
MDC North Campus 11380 NW 27 AV Miami, FL 33167-3418
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MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
Course ID
Reference #
Semester
Instructor Name, Degree
and Rank
Prerequisites
Credits
Textbook & Author
webAssign course ID
Calculator Policy
Class Times/Room
Office Location
Office Hours
Phone Number
Email Address
Make Up Policy
Attendance Policy
Academic Dishonesty
Policy
ADA
Chairperson of the Dept of
Math.
Math Center
Grading Policy
Course Competencies
MAS 2103 (Linear Algebra)
899038
2015-2 Spring 2016
Dr. Manuel Caramés, PhD, Associate Professor Senior of
Mathematics & Physics.
MAC2311 with at least a grade of "C"
3 Credits Semester Hours
Linear Algebra. A Modern Introduction, 3rd Edition by David
Poole + webAssign
mdc 2107 8959
Students can use calculators
M, W & F 10:00 – 10:50 /7215 North Campus
Room 7333
M, W, F 09:00 AM – 09:50 AM
T, R 08:00 AM – 09:40 AM
305-237-1013
mcarames@mdc.edu
There is not
Students with more than 2 abcenses will be withdrawn by the
instructor. All the absences are unexcused. I believe in you the
problem is you missed the class. Students are still responsible
for withdrawing themselves if they want to receive a “W”.
http://www.mdc.edu/policy/student_rights_and_responsibilities.p
df
In compliance with the Americans with Disabilities Act (ADA),
all qualified students enrolled in this course are entitled to
reasonable accommodations. Please notify the instructor during
the first week of class of any accommodations needed for this
course.
Dr. Vincent Bates, 305 237 1291, vbates@mdc.edu
For assistance, please contact your instructor during
advisement hours and/or visit the Math Center in Room 2222.
For Math Center hours of operation, call 305-237-1421.
Your final grade will have 4 components: home works 10%, in
class exams 20%, midterm exam 40% and final exam 50%. Your
final grade is is the weight of all of them.
In order for you to pass the class you need to have a 70% grade
and finish ALL the HW & exams.
Competency 1:
The Student will solve linear systems of
equations by,
a. applying elementary row operations to the system,
b. applying Gauss-Jordan elimination.
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MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
Competency 2:
The Student will demonstrate proficiency in
Matrix Algebra by,
a. performing matrix addition, scalar multiplication, and matrix
multiplication.
b. finding the transpose, the cofactor, and the adjoint matrices
of a given matrix,
c. finding the inverse of an invertible matrix by either the
formula or applying row operations,
d. solving linear systems applying matrix algebra.
Competency 3:
The Student will demonstrate proficiency in
Determinants Theory by,
a. evaluating determinants by either row reduction or cofactor
expansion,
b. applying the properties of the determinants for solving
problems.
Competency 4:
The Student will demonstrate knowledge of
the Euclidean n-th space En and its properties by,
a. performing basic operations in
b. determining if a subset of En is a subspace of En
c. recognizing the Euclidean norm, distance, and inner product,
d. determining if a set of vectors is linearly independent,
e. finding basis for En
f. finding orthonormal basis for En applying the Gram-Schmidt
process.
Competency 5:
The Student will recognize linear
transformations between En and Em and
a. calculate the kernel and the range of a linear transformation,
b. find a matrix representation of a given linear transformation,
c. describe the geometric properties of basic linear
transformations in the plane.
Competency 6:
The Student will demonstrate knowledge of
eigenvalues and eigenvectors by,
a. defining eigenvalues eigenvectors of a matrix and a linear
transformation,
b. finding eigenvalues and eigenspaces of a matrix,
c. recognizing the differences between algebraic multiplicity
and geometric multiplicity of an eigenvalue.
Competency 7:
The Student will demonstrate knowledge of
abstract spaces by
a. performing vector operations in spaces such as space of
continuous functions, space of polynomials functions, and
space of matrices,
b. finding basis and coordinate vectors in abstract spaces.
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MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
Tentative schedule
Subject to Change with
Written Notice” should be
included.
Learning Outcomes
Week#
Week#1
Week#2
Week#3
Week#4
Week#5
Week#6
Week#7
Week#8
Week#9
Week#10
Week#11
Week#12
Week#13
Week#14
Sections
1.1, 1.2.
1.3, 1.4 (Force Vectors) .
inClassExam#1, 2.1.
2.2, 2.3, 2.4 Electrical Networks.
inClassExam#2, 3.0.
3.1, 3.2.
3.3.
3.5, 3.6 Robotics
midTermEx(Chapters 1,2, 3).
4.1.
4.2 Geomertic Applications of
Determinants, 4.3.
4.4 (If there is time), inClassExam#3(Chapter4).
5.1, 5.4 (If ther is time).
inClassExam#4(Chapter5).
Week#15
Week#16
Week#17
6.1, 6.2, 6.3.
6.4, 6.5, 6.6, inClassExam#5(Chaptre6)
Final Comprehensive Exam
Purpose: Through the academic disciplines and co-curricular
activities, General Education provides multiple, varied, and
intentional learning experiences to facilitate the acquisition of
fundamental knowledge and skills and the development of
attitudes that foster effective citizenship and life-long learning.
As graduates of Miami Dade College, students will be able to:
1. Communicate effectively using listening, speaking, reading,
and writing skills. Professor will address this outcome trough
all assessments described in the syllabus.
2. Use quantitative analytical skills to evaluate and process
numerical data. In this course students will need to read and
identify data from graphs and charts. Students will also learn to
develop quantitative skills to interpret data from graphs. Also,
students will solve algebraic equations and inequalities and
manipulate data through unit analysis.
3. Solve problems using critical and creative thinking and
scientific reasoning. In the process of solving mathematical
problems, students will need to use critical thinking skills to
interpret solutions. Creativity in solving problems is constantly
encouraged in this course and viewed as an important skill in
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MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
mathematics. Critical skills are heavily emphasized in this
course.
4. Formulate strategies to locate, evaluate, and apply
information.
In this course students will often need to solve real-life word
problems which apply the mathematical concepts presented.
Students will work to solve these problems and identify relevant
information in the problems in order to be able to solve them.
5. Demonstrate knowledge of diverse cultures, including global
and historical perspectives.
In this course, whenever possible, students will be introduced
to the use of mathematics through diverse cultures as well as
historical notes on the mathematical concepts you learn.
6. Create strategies that can be used to fulfill personal, civic,
and social responsibilities. This outcome is heavily reinforced
in this course. I constantly teach them that: It is they personal,
civic and social responsibility to take education seriously by
putting forth the effort needed for them to succeed. In this
class, as in life, only you are responsible for your actions and
the end result of them. Do not put the blame on anyone other
than yourself. One should not subscribe to the “Book of
Excuses”. In truth, everyone has the same opportunity and
should look for answers within themselves to find solutions to
their own problems. Being respectful of others indicates you
respect yourself. Do this by speaking intelligently, dressing
appropriately and admitting your weaknesses truthfully.
Education makes you strong; it remains in your brain and no one
can take it away from you. Select a major that fulfills your
personal goals but that also addresses society’s need to answer
certain burning questions.
7. Demonstrate knowledge of ethical thinking and its
application to issues in society. This outcome is not reinforced
in this course.
8. Use computer and emerging technologies effectively. In this
course students will be frequently informed about their progress
in the course via email.
9. Demonstrate an appreciation for aesthetics and creative
activities.
This outcome is not reinforced in this course.
10. Describe how natural systems function and recognize the
impact of humans on the environment. This outcome is heavily
reinforced in this course. Every time that we talk about a
solution of a "Real World Problem" it is because we were able to
recognize how it functions
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MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
NOTES:
1) The registration to webAssign begins Monday August the 25th and
finishes Friday August the 29th . You need to be registered in this
period of time.
2) Cell
phones
NO EXCUSES!!
and
any
TOTALLY
TO BE OFF BEFORE YOU
sounding
devices
are
PROHIBITED. They need
ENTER THE CLASS. The instructor may ask the student to
leave the class for the first time. If the indiscipline is repeated
the instructor may withdraw the student from the course.
3) Coming to the board when student is asked for, is mandatory.
NO EXCEPTIONS!!.
4) Home works could be taken as many times as you want and the
system will record your best grade. Exams could be taken once
and they are timed. Make sure you do your home works and exams
in the school in order for you to avoid problems with the internet.
These are examples of not good excuses: “Professor at home the
internet was gone”; “Professor, please, reopen the exam for me, I
submit it before I finish”; “Please, reopen the exam, I hit the
wrong key” etc, etc, etc.
NO REOPENNINGS AT ALL .
5) Punctuality. You will not be allow to enter the class is you are
ONE SECOND IS LATE!!
My voice is laud, please, DO NOT BE AFRAID!!
ANY ABSENCE IS INEXCUSABLE. I believe
late.
6)
7)
you; the
problem is that you missed the class!!
8) RIGHT ANSWERS MEAN NOTHING!!
9) I understand that in our University we do not have a dressing code
my class you must dress professionally
and appropriately. What does it mean? Male students CAN NOT
wear neither pants nor shorts showing their
policy but to come to
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MAS 2103 (LINEAR ALGEBRA)
Course Syllabus Ref# 899038
underwear or sleeve less T-shirts. Female
students CAN NOT wear camisoles or shorty
shorts.
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