Module 2: Mathematics and Basic Sciences
The Mathematics and Basic
Sciences Module (depicted in Table below) consists of nine courses and three
laboratory courses (the labs associated with Science courses have their own
course numbers), for a total of thirty-two hours. This Module has been designed by the Department in an effort to
best achieve the following objectives:
·
Meet the requirements of the EAC/ABET Engineering
Criteria 2000.
·
Meet the Educational Objectives of the ECE programs.
Mathematics Sequence
|
|
|
Course Title
|
Course
Number
|
Lecture
Hours/w
|
Recitation
Hours/w
|
Credit
Hours
|
Semester
Suggested
|
|
Calculus I
|
Math 150
|
4
|
1
|
4
|
1
|
Calculus II
|
Math 250
|
4
|
1
|
4
|
2
|
Calculus III
|
Math 251
|
3
|
1
|
3
|
3
|
Discrete Logic and Digital
Systems1
|
ECE 225
|
2
|
|
2
|
3
|
Ordinary
Differential Equations
|
Math 305
|
3
|
1
|
3
|
4
|
Mathematical Methods
in Engineering
|
ECE 315
|
4
|
|
4
|
5
|
|
Total Credit Hours – Mathematics2
|
20
|
|
|
Basic Sciences
Sequence
|
|
Course Title
|
Course
Number
|
Lecture
Hours/w
|
Lab
Hours/w
|
Credit
Hours
|
Semester
Suggested
|
|
Physics
(Mech.-Heat-Thermodynamics)
|
Phys 205a
|
3
|
|
3
|
3
|
Lab for 205a
|
Phys 255a
|
|
2
|
1
|
3
|
Physics
(Electricity-Magnetism-Optics)
|
Phys 205b
|
3
|
|
3
|
4
|
Lab for 205b
|
Phys 255b
|
|
2
|
1
|
4
|
Modern Physics (Or
Science Elective) 3
|
Phys 205c
|
3
|
|
3
|
5
|
Lab for 205c (Or for
Science Elective)
|
Phys 255c
|
|
2
|
1
|
5
|
|
Total
Credit Hours – Basic Sciences4
|
12
|
|
1 ECE 225 is the first course
designed by the Department to integrate mathematics and engineering
topics. ECE 225 is a four-credit hour
course. Two credit hours are allocated
to discrete mathematics; the other two are allocated to Boolean algebra and
combinational digital logic.
2 Electrical Engineering majors may select a maximum of six credit hours
of non-ECE technical electives from Mathematics, Science, Computer Science,
Business, Medicine or other Engineering Departments. To obtain a Minor in Mathematics,
Electrical Engineering majors must select a 400-level Math course.
3 Normally, General Chemistry and General Chemistry
laboratory (three credit hours and one credit hour, respectively).
4 Electrical
Engineering majors are required to take Biology 202 (or Physiology 201). Although this is a Basic Science course
(and could be counted as such in the table above), it is included in the
General Education Module.
The Table below shows the
comparison between the “Engineering Criteria 2000” requirements (with regard
to Math and Basic Sciences) and the respective provisions in this
module. The Math and Basic Sciences Module
(by design) ensures that the ECE students are exposed to all Math topics
listed in the right-hand column of the Table. This module also ensures that the depth of the Basic Sciences
component and the extent of the related laboratory experiences satisfy both
the General and the Specific Criteria for Electrical, Computer and similarly
named Engineering programs.
ECE Department - Undergraduate Curricula
Module
2: Mathematics and Basic Sciences
|
EAC/ABET - Engineering Criteria 2000
Mathematics and Basic Sciences
|
|
|
|
|
Module
2:
Mathematics and Basic Sciences
Total number of
credit hours: 32
|
General Criterion 4 – One year (32 credit hours) of
college-level Mathematics and Basic Sciences.
|
|
|
|
Electrical and Computer Engineering
Department
All Undergraduate Curricula
Topics
in Mathematics:
·
Differential
and Integral Calculus
·
Probability
and Statistics
(With
Engineering applications)
·
Vector
Calculus
·
Differential
Equations
·
Linear
Algebra
·
Discrete
Mathematics
·
Complex
Variables
|
Specific Criteria for
Electrical, Computer and similarly named Engineering Programs
Topics
in Mathematics:
·
Differential
and Integral Calculus
·
Probability
and Statistics
(With
Engineering applications)
·
Differential
Equations
·
Linear
Algebra
·
Discrete
Mathematics
·
Complex
Variables
|
|
|
|
Electrical and Computer
Engineering Department
All Undergraduate Curricula
Topics
in Basic Sciences:
·
Physics
with laboratory (Mechanics, Heat, Thermodynamics)
·
Physics with
laboratory (Electricity, Magnetism, Optics)
·
Science
Elective with laboratory
Typically
students select one of the following:
·
General
Chemistry (most transfer students)
·
Modern
Physics (Molecular, Nuclear, Quantum, Relativity)
|
General
Criterion 4 - Regarding Basic Sciences:
Basic Sciences (some with experimental experience),
appropriate to the discipline.
Specific Criteria for
Electrical, Computer and similarly named Engineering Programs:
Basic Sciences (and Engineering Sciences) necessary
to analyze and design components and systems, as appropriate to program
objectives.
|
The following Table shows the
correlation between the courses in Module 2 and the Educational Objectives of
the undergraduate programs of the ECE Department. The Mathematics sequence,
in terms of both breadth and depth, exceeds the respective requirements (as
specified in the Engineering Criteria 2000), and it is designed to provide
the students with a solid mathematical foundation, essential for developing
the ability for life-long learning (Fourth Educational Objective), as well as
the ability to successfully pursue graduate studies (Fifth Educational
Objective).
Department
of Electrical and Computer Engineering
Module 2: Mathematics
and Basic Sciences
Mathematics
and Basic Science Courses / Program Objectives Matrix
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|
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Courses
|
|
Ob-1
|
Ob-2
|
Ob-3
|
Ob-4
|
Ob-5
|
Ob-6
|
|
|
|
Mathematics 150
|
|
|
|
|
|
|
|
|
Mathematics 250
|
|
|
|
|
|
|
|
Mathematics 251
|
|
|
|
|
|
|
|
ECE
225
|
|
|
|
|
|
|
|
Mathematics 305
|
|
|
|
|
|
|
|
ECE 315
|
|
|
|
|
|
|
|
Physics
205a
|
|
|
|
|
|
|
|
Physics 255a
|
|
|
|
|
|
|
|
Physics
205b
|
|
|
|
|
|
|
|
Physics 255b
|
|
|
|
|
|
|
|
Science Elective
|
|
|
|
|
|
|
|
Science Elective Laboratory
|
|
|
|
|
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Indicates strong contribution towards the Objective.
|
|
|
Indicates moderate contribution towards the Objective.
|
|
|
Indicates weak contribution towards the Objective.
|
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Electrical Engineering majors
have the option of taking a maximum of two additional Mathematics courses
within the framework of Module 4 (Technical Electives). To obtain a minor in
Mathematics, ECE students must select a 400-level Math elective course.
The Basic Science sequence consists of two required
Physics courses and one Science Elective course, which could be a third
Physics course (Modern Physics). This
sequence satisfies the program criteria with regard to Basic Sciences, and it
provides the students with both depth and an excellent foundation in Physics
(the basic science more closely related to electrical engineering), which is
another essential component necessary to develop the ability for life-long
learning, as well as the ability to successfully pursue graduate studies.
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