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College of Arts & Sciences

Mathematics

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Number Theory

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The Mathematics major offers a foundation for students interested in acquiring and developing intellectual tools for understanding and solving the complex mathematical problems arising in the modern world. The program offers courses in all major areas of pure and applied mathematics.  A friendly environment facilitates in-depth learning and stimulating introduction to research.

Careers

Grow Your Future

Career opportunities for Mathematics majors are numerous and varied.  Employers value Mathematics majors for their high critical thinking skills and problem solving skills.  Visit the careers web site of the Mathematical Association of America for more information.

Career opportunities in Arts & Sciences

  • Teachers
  • Actuaries
  • Pollsters
  • Climate analysts
  • Computer programmers
  • Professors
  • Urban designers
  • Epidemiologists
  • Operations research analysts
  • Claims adjusters
  • Cryptanalysts
  • Software analysts
  • Air traffic controllers
  • Research scientists
  • Economists
  • Technical writers
  • Bankers
  • Technical writers
  • Engineers
  • Statisticians
  • Imaging scientists

Current Curriculum Information

Access Major Template

source: myUK: GPS

  • Mathematics-Option A (BA) 120 hours

Click to toggle each Academic Year. Click each course for more information.

Freshman Year

Fall Semester
  • UK Core - Comp. & Comm. I3
  • Foreign Language 1014
  • Required Calculus Course5
  • UK Core - Humanities3
    • Total15
Spring Semester
  • CS 115 - INTRODUCTION TO COMPUTER PROGRAMMING3

    This course teaches introductory skills in computer programming using a high-level computer programming language. There is an emphasis on both the principles and practice of computer programming. Covers principles of problem solving by computer and requires completion of a number of programming assignments.

  • UK Core - Comp. & Comm. II3
  • Foreign Language 1024
  • Required Calculus Course5
    • Total15
    • Total Freshman Hours30

Sophomore Year

Fall Semester
  • MA 213 - CALCULUS III4

    A course in multi-variable calculus. Topics include vectors and geometry of space, three-dimensional vector calculus, partial derivatives, double and triple integrals, integration on surfaces, Green’s theorem. Optional topics include Stokes’ theorem and the Gauss’ divergence theorem. Lecture, three hours; recitation, two hours per week. Prereq: MA 114 or MA 138 or equivalent.

  • Foreign Language 2013
  • UK Core - Natural, Physical and Math3
  • UK Core - Statistical Inferential Reason3
    • Total15
Spring Semester
  • MA 322 - MATRIX ALGEBRA AND ITS APPLICATIONS3

    Algebra of matrices, elementary theory of vector spaces and inner product spaces, the solution of simultaneous linear equations using Gaussian elimination and triangular factorization. Orthogonal projections, pseudo inverse and singular value decomposition, least squares approximation. Determinants, eigenvalues and eigenvectors, diagonalization.

  • Foreign Language 2023
  • Math Core Selection3
  • A&S Natural Sciences Course (100+ level)3
  • A&S Lab or Field Work1
    • Total14
    • Total Sophomore Hours29

Junior Year

Fall Semester
  • Required Math Sequence (First Course)3
  • Course Outside Math (300+ level)3
  • A&S Humanities (100+ level)3
  • Natural Science/Math Course (100+ level)3
  • UK Core - Social Sciences3
  • UK Core - Arts and Creativity3
    • Total18
Spring Semester
  • MA 391 - MATHEMATICS: COMPOSITION AND COMMUNICATION3

    Undergraduate topics course. The mathematical content will be selected at the discretion of the instructor. The course satisfies the Graduation Composition and Communication Requirement for mathematics majors. This course is a Graduation Composition and Communication Requirement (GCCR) course in certain programs, and hence is not likely to be eligible for automatic transfer credit to UK.

  • Required Math Sequence (Second Course)3
  • Course Outside Math (300+ level)3
  • A&S Social Sciences (100+ level)3
  • UK Core - Global Dynamics3
  • UK Core - Community, Culture and Citizen3
    • Total18
    • Total Junior Hours36

Senior Year

Fall Semester
  • Math Course Selection (300+ level)3
  • Math Course Selection3
  • Course Outside Math (300+ level)3
  • A&S Social Sciences (300+level)3
  • A&S Approved Elective (100+ level)3
    • Total15
Spring Semester
  • Math Course Selection (300+ level)3
  • Math Course Selection3
  • Course Outside Math (300+ level)3
  • A&S Humanities (300+ level)3
  • A&S Approved Elective (100+ level)3
    • Total15
    • Total Senior Hours30
  • Mathematics-Option A (BS) 120 hours

Click to toggle each Academic Year. Click each course for more information.

Freshman Year

Fall Semester
  • UK Core - Comp. & Comm. I3
  • Foreign Language 1014
  • Required Calculus Course5
  • UK Core - Humanities3
    • Total15
Spring Semester
  • CS 115 - INTRODUCTION TO COMPUTER PROGRAMMING3

    This course teaches introductory skills in computer programming using a high-level computer programming language. There is an emphasis on both the principles and practice of computer programming. Covers principles of problem solving by computer and requires completion of a number of programming assignments.

  • UK Core - Comp. & Comm. II3
  • Foreign Language 1024
  • Required Calculus Course5
    • Total15
    • Total Freshman Hours30

Sophomore Year

Fall Semester
  • MA 213 - CALCULUS III4

    A course in multi-variable calculus. Topics include vectors and geometry of space, three-dimensional vector calculus, partial derivatives, double and triple integrals, integration on surfaces, Green’s theorem. Optional topics include Stokes’ theorem and the Gauss’ divergence theorem. Lecture, three hours; recitation, two hours per week. Prereq: MA 114 or MA 138 or equivalent.

  • Foreign Language 2013
  • UK Core - Natural, Physical and Math3
  • UK Core - Statistical Inferential Reason3
    • Total15
Spring Semester
  • MA 322 - MATRIX ALGEBRA AND ITS APPLICATIONS3

    Algebra of matrices, elementary theory of vector spaces and inner product spaces, the solution of simultaneous linear equations using Gaussian elimination and triangular factorization. Orthogonal projections, pseudo inverse and singular value decomposition, least squares approximation. Determinants, eigenvalues and eigenvectors, diagonalization.

  • Foreign Language 2023
  • Math Core Selection3
  • Natural Science/Math Course (100+ level)3
  • A&S Lab or Field Work1
    • Total14
    • Total Sophomore Hours29

Junior Year

Fall Semester
  • CS 215 - INTRODUCTION TO PROGRAM DESIGN, ABSTRACTION, AND PROBLEM SOLVING4

    The course covers introductory object-oriented problem solving, design, and programming engineering. Fundamental elements of data structures and algorithm design will be addressed. An equally balanced effort will be devoted to the three main threads in the course: concepts, programming language skills, and rudiments of object-oriented programming and software engineering.

  • Required Math Sequence (First Course)3
  • UK Core - Social Sciences3
  • UK Core - Arts and Creativity3
  • UK Core - Community, Culture and Citizen3
    • Total16
Spring Semester
  • MA 391 - MATHEMATICS: COMPOSITION AND COMMUNICATION3

    Undergraduate topics course. The mathematical content will be selected at the discretion of the instructor. The course satisfies the Graduation Composition and Communication Requirement for mathematics majors. This course is a Graduation Composition and Communication Requirement (GCCR) course in certain programs, and hence is not likely to be eligible for automatic transfer credit to UK.

  • Required Math Sequence (Second Course)3
  • Course Outside Math (300+ level)3
  • A&S Social Sciences (100+ level)3
  • UK Core - Global Dynamics3
    • Total15
    • Total Junior Hours31

Senior Year

Fall Semester
  • Math Course Selection3
  • Math Course Selection (300+ level)3
  • A&S Math/Science Hours3
  • A&S Humanities (100+ level)3
  • A&S Approved Elective (100+ level)3
    • Total15
Spring Semester
  • Math Course Selection3
  • Course Outside Math (300+ level)3
  • Course Outside Math (300+ level)3
  • A&S Math/Science Hours3
  • A&S Approved Elective (100+ level)3
    • Total15
    • Total Senior Hours30
  • Mathematics-Option B (BA) 120 hours

Click to toggle each Academic Year. Click each course for more information.

Freshman Year

Fall Semester
  • UK Core - Comp. & Comm. I3
  • Foreign Language 1014
  • Required Calculus Course5
  • UK Core - Humanities3
    • Total15
Spring Semester
  • UK Core - Comp. & Comm. II3
  • Foreign Language 1024
  • Required Calculus Course5
  • UK Core - Social Sciences3
    • Total15
    • Total Freshman Hours30

Sophomore Year

Fall Semester
  • MA 213 - CALCULUS III4

    A course in multi-variable calculus. Topics include vectors and geometry of space, three-dimensional vector calculus, partial derivatives, double and triple integrals, integration on surfaces, Green’s theorem. Optional topics include Stokes’ theorem and the Gauss’ divergence theorem. Lecture, three hours; recitation, two hours per week. Prereq: MA 114 or MA 138 or equivalent.

  • CS 115 - INTRODUCTION TO COMPUTER PROGRAMMING3

    This course teaches introductory skills in computer programming using a high-level computer programming language. There is an emphasis on both the principles and practice of computer programming. Covers principles of problem solving by computer and requires completion of a number of programming assignments.

  • Foreign Language 2013
  • A&S Humanities (100+ level)3
  • UK Core - Natural, Physical and Math3
    • Total16
Spring Semester
  • MA 214 - CALCULUS IV3

    MA 214 is a course in ordinary differential equations. Emphasis is on first and second order equations and applications. The course includes series solutions of second order equations and Laplace transform methods.

  • MA 322 - MATRIX ALGEBRA AND ITS APPLICATIONS3

    Algebra of matrices, elementary theory of vector spaces and inner product spaces, the solution of simultaneous linear equations using Gaussian elimination and triangular factorization. Orthogonal projections, pseudo inverse and singular value decomposition, least squares approximation. Determinants, eigenvalues and eigenvectors, diagonalization.

  • CS 215 - INTRODUCTION TO PROGRAM DESIGN, ABSTRACTION, AND PROBLEM SOLVING4

    The course covers introductory object-oriented problem solving, design, and programming engineering. Fundamental elements of data structures and algorithm design will be addressed. An equally balanced effort will be devoted to the three main threads in the course: concepts, programming language skills, and rudiments of object-oriented programming and software engineering.

  • Natural Science/Math Course (100+ level)3
  • A&S Lab or Field Work1
  • UK Core - Arts and Creativity3
    • Total16
    • Total Sophomore Hours32

Junior Year

Fall Semester
  • MA 320 - INTRODUCTORY PROBABILITY3

    Set theory; fundamental concepts of probability, including conditional and marginal probability; random variables and probability distributions moments; moment-generating and characteristic functions; random experiments; distribution of random variables and functions of random variables; limit theorems.

  • Math Sequence (First Course)3
  • Supporting Program (First Course)3
  • A&S Humanities (300+ level)3
  • Natural Science/Math Course (100+ level)3
    • Total15
Spring Semester
  • STA 321 - BASIC STATISTICAL THEORY I3

    Simple random sampling; point and interval estimation; hypothesis testing.

  • MA 321 - INTRODUCTION TO NUMERICAL METHODS3

    Floating point arithmetic. Numerical linear algebra: elimination with partial pivoting and scaling. Polynomial and piecewise interpolation. Least squares approxmiation. Numerical integration. Roots ofots nonlinear equations. Ordinary differential equations. Laboratory exercises using software packages available at computer center.

  • MA 391 - MATHEMATICS: COMPOSITION AND COMMUNICATION3

    Undergraduate topics course. The mathematical content will be selected at the discretion of the instructor. The course satisfies the Graduation Composition and Communication Requirement for mathematics majors. This course is a Graduation Composition and Communication Requirement (GCCR) course in certain programs, and hence is not likely to be eligible for automatic transfer credit to UK.

  • Required Math Sequence (Second Course)3
  • Supporting Program (Second Course)3
  • A&S Social Sciences (100+ level)3
    • Total18
    • Total Junior Hours33

Senior Year

Fall Semester
  • Supporting Program (Third Course)3
  • Math Course Selection (300+ level)3
  • A&S Social Sciences (300+level)3
  • UK Core - Statistical Inferential Reason3
  • UK Core - Community, Culture and Citizen3
    • Total15
Spring Semester
  • Math Course Selection (300+ level)3
  • A&S Social Sciences (100+ level)3
  • UK Core - Global Dynamics3
  • A&S Approved Elective (300+ level)3
    • Total13
    • Total Senior Hours28
  • Mathematics-Option B (BS) 120 hours

Click to toggle each Academic Year. Click each course for more information.

Freshman Year

Fall Semester
  • UK Core - Comp. & Comm. I3
  • Foreign Language 1014
  • Required Calculus Course5
  • UK Core - Humanities3
    • Total15
Spring Semester
  • UK Core - Comp. & Comm. II3
  • Foreign Language 1024
  • Required Calculus Course5
  • UK Core - Social Sciences3
    • Total15
    • Total Freshman Hours30

Sophomore Year

Fall Semester
  • MA 213 - CALCULUS III4

    A course in multi-variable calculus. Topics include vectors and geometry of space, three-dimensional vector calculus, partial derivatives, double and triple integrals, integration on surfaces, Green’s theorem. Optional topics include Stokes’ theorem and the Gauss’ divergence theorem. Lecture, three hours; recitation, two hours per week. Prereq: MA 114 or MA 138 or equivalent.

  • CS 115 - INTRODUCTION TO COMPUTER PROGRAMMING3

    This course teaches introductory skills in computer programming using a high-level computer programming language. There is an emphasis on both the principles and practice of computer programming. Covers principles of problem solving by computer and requires completion of a number of programming assignments.

  • Foreign Language 2013
  • UK Core - Natural, Physical and Math3
  • UK Core - Statistical Inferential Reason3
    • Total16
Spring Semester
  • MA 322 - MATRIX ALGEBRA AND ITS APPLICATIONS3

    Algebra of matrices, elementary theory of vector spaces and inner product spaces, the solution of simultaneous linear equations using Gaussian elimination and triangular factorization. Orthogonal projections, pseudo inverse and singular value decomposition, least squares approximation. Determinants, eigenvalues and eigenvectors, diagonalization.

  • CS 215 - INTRODUCTION TO PROGRAM DESIGN, ABSTRACTION, AND PROBLEM SOLVING4

    The course covers introductory object-oriented problem solving, design, and programming engineering. Fundamental elements of data structures and algorithm design will be addressed. An equally balanced effort will be devoted to the three main threads in the course: concepts, programming language skills, and rudiments of object-oriented programming and software engineering.

  • Math Core Selection3
  • Natural Science/Math Course (100+ level)3
  • A&S Lab or Field Work1
  • UK Core - Arts and Creativity3
    • Total16
    • Total Sophomore Hours32

Junior Year

Fall Semester
  • MA 320 - INTRODUCTORY PROBABILITY3

    Set theory; fundamental concepts of probability, including conditional and marginal probability; random variables and probability distributions moments; moment-generating and characteristic functions; random experiments; distribution of random variables and functions of random variables; limit theorems.

  • Math Sequence (First Course)3
  • Supporting Program (First Course)3
  • A&S Humanities (300+ level)3
  • A&S Math/Science Hours3
    • Total16
Spring Semester
  • MA 321 - INTRODUCTION TO NUMERICAL METHODS3

    Floating point arithmetic. Numerical linear algebra: elimination with partial pivoting and scaling. Polynomial and piecewise interpolation. Least squares approxmiation. Numerical integration. Roots ofots nonlinear equations. Ordinary differential equations. Laboratory exercises using software packages available at computer center.

  • STA 321 - BASIC STATISTICAL THEORY I3

    Simple random sampling; point and interval estimation; hypothesis testing.

  • MA 391 - MATHEMATICS: COMPOSITION AND COMMUNICATION3

    Undergraduate topics course. The mathematical content will be selected at the discretion of the instructor. The course satisfies the Graduation Composition and Communication Requirement for mathematics majors. This course is a Graduation Composition and Communication Requirement (GCCR) course in certain programs, and hence is not likely to be eligible for automatic transfer credit to UK.

  • Math Sequence (Second Course)3
  • Supporting Program (Second Course)3
  • A&S Social Sciences (100+ level)3
    • Total18
    • Total Junior Hours34

Senior Year

Fall Semester
  • Math Course Selection (300+ level)3
  • Supporting Program (Third Course)3
  • UK Core - Community, Culture and Citizen3
  • A&S Math/Science Hours3
  • A&S Approved Elective (100+ level)3
    • Total15
Spring Semester
  • Math Course Selection (300+ level)3
  • A&S Math/Science Hours3
  • UK Core - Global Dynamics3
  • A&S Approved Elective (100+ level)3
    • Total13
    • Total Senior Hours28

Classes & Requirements

What You'll Study

Math majors choose one of two programs that lead to the B.A. or B.S. degree: Option A, mathematics or Option B, mathematical sciences. The mathematics option consists of courses offered solely by the department of mathematics and is intended for those who wish to follow a traditional mathematics career path. The mathematical sciences option consists of courses offered by the departments of computer science, mathematics and statistics, and is intended for those who opt for a career that requires the application of mathematics.

 
B.A. Four Year Plan B.S. Four Year Plan

Graduation Requirements

Any student earning a Bachelor of Arts (BA) degree must complete a minimum of 39 hours at the 300+ level. These hours are generally completed by the major requirements. However, keep this hour requirement in mind as you choose your course work for the requirements in the major. Students interested in earning a Bachelor of Science (BS) degree must complete a minimum of 60 hours in biological, physical, mathematical and/or computer sciences. See the complete description of College requirements for a Bachelor of Arts and Bachelor of Sciences degrees in the Arts and Sciences section of the 2015-2016 Undergraduate Bulletin.

UK Core Requirements

  • The Nature of Inquiry in Arts and Creativity (3 hours)
  • The Nature of Inquiry in the Humanities (3 hours)
  • The Nature of Inquiry in the Social Sciences (3 hours)
  • The nature of Inquiry in the Natural, Physical and Mathematical Sciences (3 hours)
  • Composition and Communication I (3 hours)
  • Composition and Communication II (3 hours)
  • Quantitative Foundations (3 hours)
  • Statistical and Inferential Reasoning (3 hours)
  • Community, Culture and Citizenship in the USA (3 hours)
  • Global Dynamics (3 hours)

Total Credit Hours - 30


Premajor Requirements ​

Mathematics majors will take a variety of calculus courses to fulfill their pre-major requirements. The specific courses vary depending on the different Mathematics major options that the department provides to its students. Both options will require two calculus classes and an introduction to computer programming course.

Total Hours - 11

Major Requirements 

Core Requirements 

The core requirements for students pursuing a Mathematics major will vary depending on which math option the student chooses. The courses will include MA 214/215 - Calculus I and II, and a variety of other course work such computer programming and other upper division math courses. 

Other Course Work Required for the Major

Mathematics majors will be required to complete additional math courses within the department at the 300+ level. For a complete list of class offerings one should reference the University of Kentucky Bulletin or the 2015-2016 Mathematics major sheet. 

Course Work from outside the Department

Students will need to choose varying hours of course work outside of Mathematics at the 300+ level. Courses are generally chosen from Physics, Chemistry, Biology, Logic, Statistics, Computer Science, Economics, and Engineering. 


Featured Career

Mathematicians

Mathematicians conduct research to develop and understand mathematical principles. They also analyze data and apply mathematical techniques to help solve real-world problems.

Source: Bureau of Labor Statistics | Click the link for more info.

Median Salary

$103,720

per year in 2014

Number of Jobs

3,500

in 2014

10 Year Job Outlook

700

new jobs (average)

Work Environment

Mathematicians work in the federal government and in private science and engineering research companies. They may work on teams with engineers, scientists, and other professionals.

Source: Bureau of Labor Statistics

Read More

Similar Occupations

Source: Bureau of Labor Statistics

  • Actuaries
  • Computer Programmers
  • Computer Systems Analysts
  • Database Administrators
  • Financial Analysts
  • Market Research Analysts
  • Nuclear Engineers
  • Operations Research Analysts
  • Physicists and Astronomers
  • Postsecondary Teachers
  • Statisticians
  • Survey Researchers

Featured Career

Database Administrators

Database administrators (DBAs) use specialized software to store and organize data, such as financial information and customer shipping records. They make sure that data are available to users and are secure from unauthorized access.

Source: Bureau of Labor Statistics | Click the link for more info.

Median Salary

$80,280

per year in 2014

Number of Jobs

120,000

in 2014

10 Year Job Outlook

13,400

new jobs (average)

Work Environment

Almost all database administrators work full time. About 1 in 5 worked more than 40 hours per week in 2014.

Source: Bureau of Labor Statistics

Read More

Similar Occupations

Source: Bureau of Labor Statistics

  • Computer and Information Systems Managers
  • Computer Network Architects
  • Computer Programmers
  • Computer Support Specialists
  • Computer Systems Analysts
  • Financial Analysts
  • Information Security Analysts
  • Network and Computer Systems Administrators
  • Market Research Analysts
  • Operations Research Analysts
  • Software Developers
  • Web Developers

A&S Undecided/Exploratory Studies

Understanding that over 70 percent of university students will change their declared major at least once during their college careers, the College of Arts and Sciences has developed an Exploratory Studies program for students who have yet to decide the specific field of study that most closely aligns both their personal interests and their professional career goals and objectives. The Exploratory Studies Program provides students with an extraordinarily diverse educational environment that includes coursework spanning Math and Natural Sciences, Humanities, and Social Sciences and provides students with the unique opportunity to explore multiple areas of interest during their first several semesters on campus. For more information please contact a recruiting representative at asrecruting@uky.edu. 


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