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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.