Mathematics

Outcomes

Mathematics strives to prepare students for successful graduate study or a career in private industry, governmental service, or teaching.

Students majoring in mathematics will develop mathematical thinking skills beyond a procedural and computational understanding of mathematics and emphasize a broad understanding encompassing logical reasoning, generalization, abstraction, and formal proof; develop communication skills to convey mathematical knowledge; demonstrate knowledge of, and apply skills in, technology (mathematical software platforms, programming, presentation packages, and information sources) to enhance comprehension and research of mathematics; and gain exposure to a broad and deep view of the mathematical sciences.

BACHELOR OF ARTS IN MATHEMATICS 

General Education (Core)
33-48 hours

Refer to the general education requirements for more information.

Mathematics Major
63-78 hours

The B.A. in mathematics requires 42 hours of the following mathematics courses: HMTH 161, 162, 255, 263, 271, 361, 371, and 497; either HMTH 321 or 341; either HMTH 362 or 372; and three other mathematics courses at the 300-level or above, of which at least one must be at the 400-level. In addition, the student is required to complete 18 hours of cognate electives selected by the student in consultation with his adviser and approved by the mathematics program director. A three-hour course in computer programming must be included in the 18 hours of cognate electives. The maximum number of semester hours of mathematics coursework applied to the mathematics major is restricted to 54 hours.

To qualify for a Bachelor of Arts degree in mathematics, a student must complete the following required mathematics courses:

• HMTH 161— Calculus I
• HMTH 162— Calculus II
• HMTH 255— Introduction to Set Theory
• HMTH 263— Calculus III
• HMTH 271— Introduction to Linear Algebra
• HMTH 361— Real Analysis
• HMTH 371— Abstract Algebra I
• HMTH 497— Senior Seminar

Choose one course from the list below:

• HMTH 321— Introduction to Ordinary Differential Equations
• HMTH 341— Probability and Statistics I

Choose one course from the list below:

• HMTH 362— Real Analysis II
• HMTH 372— Abstract Algebra II

Choose three courses from the list below:

Three other mathematics courses at the 300-level or above, of which at least one must be at the 400-level

• HMTH 321— Introduction to Ordinary Differential Equations
• HMTH 325— Applied Mathematics I
• HMTH 327— Applied Mathematics II
• HMTH 341— Probability and Statistics I
• HMTH 342— Probability and Statistics II
• HMTH 362— Real Analysis II
• HMTH 372— Abstract Algebra II
• HMTH 375— Advanced Linear Algebra
• HMTH 391— Special Topics in Mathematics
• HMTH 463— Real Variables
• HMTH 465— Complex Variables
• HMTH 467— Numerical Analysis
• HMTH 475— Number Theory
• HMTH 485— Topology
• HMTH 487— Differential Geometry

Choose one course from the list below:

• HCOM 253— Public Speaking
• HCOM 351— Professional Communications
• HCOM 352— Communication in Small Groups and Teams
• HCOM 353— Interpersonal Communications
• HCOM 355— Argumentation and Debate

Six additional courses (18 hours)

• HCSC 110— Computer Programing I

In consultation with your faculty advisor and with the approval of the mathematics program director, choose another 15 semester hours.

BACHELOR OF  SCIENCE IN MATHEMATICS

General Education (Core)
33-48 hours

Refer to the general education requirements for more information.

Mathematics Major
63-78 hours

Major Course of Study Requirements

The B.S. in mathematics requires 42 hours of the following mathematics courses: HMTH 161, 162, 255, 263, 271, 361, 371, and 497; at least three of HMTH 321, 341, 362, 372; and two other 400-level or one other 300-level and one other 400-level mathematics courses. Mathematics majors, especially those preparing for graduate school, are recommended to take both HMTH 362 and 372, but dual-degree engineering program students, who already took HMTH 321 and 341, may find it expedient to take only one of HMTH 362 and HMTH 372. In addition, students are required to complete six other mathematics or science courses from the approved cognate list.

The six courses must include a three hour course in computer programming and one sequence (two courses) of other mathematics or science courses from the approved cognate course list (e.g., HMTH 341 and 342, HBIO 111 and 112, HPHY 154 and 253, or HCS 110 and 160, selected by the student in consultation with his adviser and approved by the department. Finally, the student must choose nine hours of mathematics or science cognate electives from the approved list of cognate electives for the B.S. The maximum number of semester hours of mathematics coursework applied to the mathematics major is restricted to 54 hours.

To qualify for a Bachelor of Science degree in mathematics, a student must complete the following required mathematics courses:

• HMTH 161— Calculus I
• HMTH 162— Calculus II
• HMTH 255— Introduction to Set Theory
• HMTH 263— Calculus III
• HMTH 271— Introduction to Linear Algebra
• HMTH 361— Real Analysis
• HMTH 371— Abstract Algebra I
• HMTH 497— Senior Seminar

Choose three courses from the list below:

• HMTH 321— Introduction to Ordinary Different Equations
• HMTH 341— Probability and Statistics I
• HMTH 362— Real Analysis II
• HMTH 372— Abstract Algebra II

Choose two courses from the list below:
Two other 400-level, or one other 300-level and one other 400-level mathematics courses

• HMTH 321— Introduction to Ordinary Differential Equations
• HMTH 325— Applied Mathematics I
• HMTH 327— Applied Mathematics II
• HMTH 341— Probability and Statistics I
• HMTH 342— Probability and Statistics II
• HMTH 362— Real Analysis II
• HMTH 372— Abstract Algebra II
• HMTH 375— Advanced Linear Algebra
• HMTH 391— Special Topics in Mathematics
• HMTH 463— Real Variables
• HMTH 465— Complex Variables
• HMTH 467— Numerical Analysis
• HMTH 475— Number Theory
• HMTH 485— Topology
• HMTH 487— Differential Geometry

Six additional courses (18 hours)

• HCSC 110— Computer Programing I

Choose one course from the list below:

• HBIO 111— General Biology
• HBIO 113— Comprehensive Biology
• Choose one course from the list below:
• HPHY 154— Mechanics
• HCHE 111— Elementary Inorganic Chemistry I

Choose three courses from the list below:
At least one of these courses must complete an approved two-course sequence.

• HBIO 111— General Biology
• HBIO 112— General Biology
• HCHE 111— Elementary Inorganic Chemistry I
• HCHE 112— Elementary Inorganic Chemistry II
• HCSC 110— Computer Programming I
• HCSC 160— Computer Programming II
• HECO 201— Principles of Macroeconomics
• HECO 202— Principles of Microeconomics
• HMTH 341— Probability and Statistics I
• HMTH 342— Probability and Statistics II
• HPHY 154— Mechanics
• HPHY 253— Electricity and Magnetism

Separate Requirement

Choose one course from the list below:

• HCOM 253— Public Speaking
• HCOM 351— Professional Communications
• HCOM 352— Communication in Small Groups and Teams
• HCOM 353— Interpersonal Communications
• HCOM 355— Argumentation and Debate

To qualify for a minor in mathematics, a student must complete the following mathematics courses:

• HMTH 161— Calculus I
• HMTH 162— Calculus II
• HMTH 255— Introduction to Set Theory
• HMTH 263— Calculus III
• HMTH 271— Introduction to Linear Algebra