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DEPARTMENT OF MATHEMATICS
Change of Requirements for the BS Degree in Mathematics
Proposed additional course: MATH 2403, Fundamentals of Mathematics
Rationale:
This course is designed for students who consider taking upper level courses in
mathematics. The main purpose is to introduce students to different proof techniques.
Moreover, the students will learn how to write up their proofs in a concise form using
mathematical logic. In addition, several fundamental concepts of mathematics that will
appear frequently in upper level courses will be introduced to students.
Effects on the Math Curriculum:
Change of credit hours for specific requirements from 9 to 12, and
Change of credit hours for electives from 15 to 12.
Old Curriculum: 34-53 Credit Hours
Preparatory or Prerequisite Courses (19)
MATH 1303 -- Intermediate Algebra
MATH 1503 -- College Algebra
MATH 1602 -- Trigonometry
MATH 2004 -- Calculus I
MATH 2104 -- Calculus II
MATH 2203 -- Calculus III
Specific Requirements in Mathematics (9)
MATH 3003 -- Linear Algebra
MATH 3103 -- Abstract Algebra
MATH 3603 -- Advanced Calculus I
Specific Requirements in Physics (10)
PHYS 2104 -- University Physics I
PHYS 2141 -- University Physics I Lab
PHYS 2204 -- University Physics II
PHYS 2241 -- University Physics II Lab
Electives in Mathematics (15)
MATH 3203 -- Probability and Statistics I
MATH 3303 -- Ordinary Differential Equations
MATH 3403 -- Numerical Methods
MATH 3703 -- Advanced Geometry
MATH 4103 -- Algebraic Structures II
MATH 4203 -- Probability and Statistics II
MATH 4303 -- Partial Differential Equations
MATH 4403 -- Topology
MATH 4503 -- Quantum Mechanics
MATH 4603 -- Advanced Calculus II
MATH 4703 -- Functions of a Complex Variable
MATH 4991-3 -- Independent Study
Other Mathematics Courses Not Counting toward the Mathematics Major
MATH 3503 -- Discrete Mathematics
MATH 3804 -- Engineering Math I
MATH 3903 -- Engineering Math II
New Proposed Curriculum: 34-53 Credit Hours
Preparatory or Prerequisite Courses (19)
MATH 1303 -- Intermediate Algebra
MATH 1503 -- College Algebra
MATH 1602 -- Trigonometry
MATH 2004 -- Calculus I
MATH 2104 -- Calculus II
MATH 2203 -- Multivariable Calculus (formerly MATH 2203 -- Calculus III)
Specific Requirements in Mathematics (12)
MATH 2403 – Foundations of Mathematics (New Course)
MATH 3003 -- Linear Algebra
MATH 3103 -- Abstract Algebra
MATH 3603 -- Real Analysis I (formerly MATH 3603 – Advanced Calculus I)
Specific Requirements in Physics (10)
PHYS 2104 -- University Physics I
PHYS 2141 -- University Physics I Lab
PHYS 2204 -- University Physics II
PHYS 2241 -- University Physics II Lab
Electives in Mathematics (12)
MATH 3203 -- Probability and Statistics I
MATH 3303 -- Ordinary Differential Equations
MATH 3403 -- Numerical Methods
MATH 3703 -- Advanced Geometry
MATH 3913 – Complex Analysis (formerly MATH 4703 -- Functions of a Complex Variable)
MATH 4103 -- Algebraic Structures II
MATH 4203 -- Probability and Statistics II
MATH 4303 -- Partial Differential Equations
MATH 4403 -- Topology
MATH 4503 -- Quantum Mechanics
MATH 4603 -- Real Analysis II (formerly MATH 4603 – Advanced Calculus II)
MATH 4991-3 -- Independent Study
Other Mathematics Courses Not Counting toward the Mathematics Major
MATH 3503 -- Discrete Mathematics
MATH 3804 -- Engineering Math I
MATH 4803 – Engineering Math II (formerly MATH 3903 -- Engineering Math II)
Justification for Name and Number Changes:
 MATH 2203 -- Calculus III  MATH 2203 – Multivariable Calculus: This new title is
more descriptive of the material to be taught in the course. It is also more typical of the
name used at other universities.
 MATH 3603 – Advanced Calculus I  MATH 3603 – Real Analysis I: Only a small part
of the course material uses Calculus, while the course is focused on the more general
subject of the structure of the real numbers.
 MATH 4603 – Advanced Calculus II  MATH 4603 – Real Analysis II: See the
comment for MATH 3603 for the justification.
 MATH 3903 -- Engineering Math II  MATH 4803 – Engineering Math II: This course
is a continuation of MATH 3903 – Engineering Math I, so it makes more sense for it to
be listed a 4000 level course.
 MATH 4703 -- Functions of a Complex Variable  MATH 3913 – Complex Analysis:
The name change is primarily for the purpose of being consistent with the practices of
other universities. The number change is due to the fact that the course material is
comparable in difficulty to that taught in 3000 level courses. Furthermore, it requires no
more than Calculus III knowledge to be able to take Complex Analysis. Therefore, we
believe it is more appropriately listed as a 3000 level course.