Mathematics
Professor: Tharanga Wijetunge
Associate Professors: Jeremy Chapman
Assistant Professor: Wesley Perkins, '15
Director of Developmental Mathematics: Meredith Wright, '04
Mathematics is the language of nature, the Rosetta stone by which we come to understand the inner structure and form of our universe. It is also the language of computers and the key to the burgeoning Information Age. As a tool for understanding the world, it is perhaps the oldest and most enduring— and still, today, one of the most dynamic and exciting. Students in the mathematics major develop an understanding of mathematics as a vital tool of the mind.
The mathematics major is both rigorous and flexible. It provides students a foundation upon which to pursue graduate studies in mathematics or professional training in areas such as law or engineering while permitting them the flexibility to pursue minors in other liberal arts disciplines and to prepare themselves to teach in secondary school. Graduates receive a Bachelor of Arts degree in mathematics.
Students who wish to teach secondary school mathematics must satisfy admission requirements for the Liberal Arts Teacher Education Concentration (LATEC) and complete the general education core and education theory curriculum in the secondary education certification program. Additionally, prospective mathematics teachers must take MTH 400, which may be used as a general elective but not as a mathematics elective. We recommend that prospective mathematics teachers take MTH 360 and 380 as mathematics electives.
NOTES
MTH 210 may be used to satisfy core requirements.
MTH 400 may NOT be used to satisfy the Mathematics Elective requirement.
PHY 240, 241, 250, and 251 are recommended general electives.
NOTE: To graduate with a Bachelor of Arts or Bachelor of Science degree from Lyon College, students must successfully complete a minimum of 120 semester credit hours comprised of our required Core curriculum (4448 hours), the requirements of at least one major (credit hours vary per major), and a selection of our Liberal Arts electives. They must also earn at least a 2.00 cumulative grade point average for all work taken at Lyon College and a 2.00 cumulative grade point average in their major, minor, and concentration.
Degrees

Math Major: Actuarial Science Track [BA] 
Mathematics Major (BA) 
Mathematics Minor
Courses
MTH 001: Intermediate Algebra
This course prepares students for College Algebra. Coverage will include basic algebraic operations, polynomials, rational expressions, exponents and radicals, linear equations, quadratic equations, radical equations, absolute value equations, solving inequalities, functions, and graphing. This course may NOT be used to satisfy mathematics proficiency at Lyon College and it does NOT count toward the 120 hours necessary to graduate. It DOES count in a student's course load and DOES count toward a student's GPA. Students who earn less than a 'C' grade in this course must repeat it.
Math ACT of 17 or above.
MTH 003: Intermediate Algebra w/Lab
This course prepares students for College Algebra. Coverage will include basic algebraic operations, polynomials, rational expressions, exponents and radicals, linear equations, quadratic equations, radical equations, absolute value equations, solving inequalities, functions, and graphing. This course may NOT be used to satisfy mathematics proficiency at Lyon College and it does NOT count toward the 120 hours necessary to graduate. It DOES count toward a student's course load and DOES count toward a student's GPA. Students who earn less than a 'C' grade in this course must repeat it.
MTH 003 LAB
MTH 101: College Algebra
A review of algebra and the study of functions, including the polynomial, rational, exponential, and logarithmic functions and their graphs.
or Math ACT of 22 or above.
MTH 103: College Algebra with Lab
An extended review of algebra and the study of functions, including polynomial, rational, exponential, and logarithmic functions and their graphs.
Or Math ACT of 19 or above.
MTH 105: Math for Liberal Arts
Exponential growth and decay, simple interest, compound interest, inflation, loans, combinations, permutations, probability, odds, expectation, frequency distributions, descriptive statistics, and the normal distribution.
Or Math ACT of 19 or above.
MTH 110: Elementary Functions
Exponential, logarithmic, and trigonometric functions and elementary matrix theory including determinants and systems of equations in preparation for calculus.
Or MTH 103
MTH 115: Discrete Mathematics
Sets and set operations, combinatorics, and elements of graph theory.
Or MTH 103
MTH 210: Calculus I
Limits, differentiation, and integration of algebraic, trigonometric, logarithmic, and exponential functions with their applications.
MTH 110 or permission of instructor.
MTH 220: Calculus II
Applications and techniques of integration, sequences, infinite series, and transcendental functions.
MTH 210 or permission of instructor.
MTH 225: Mathematical Theory of Interest
Actuaries focus on using math and statistics to evaluate risk and make strategic decisions. This course covers a range of topics relevant to actuaries, including measurement of interest rates, interest theory, and the pricing of bonds, mortgages, annuities, and other financial instruments. This course will also fully cover all content required by the Society of Actuaries Financial Mathematics (FM) Exam and its equivalents. This online class has optional live sessions.
MTH 230: Calculus III
Vectors and polar coordinates, functions of several variables, partial differentiation, multiple integration, and line integrals, as well as Green’s Theorem, Stokes’ Theorem, and Gauss’ Theorem.
MTH 220 or permission of instructor.
MTH 290: Foundations of Modern Mathematics
An introduction to the method of formal proof. Topics include logic, set theory, relations, functions and cardinality.
MTH 210 or permission of instructor.
MTH 300: Differential Equations
Ordinary differential equations and Laplace transforms.
MTH 330 is recommended.
MTH 325: Probability for Actuaries
Actuaries and quantitative professionals deal primarily in probabilities. This course will cover a wide range of topics and introduce you to core probability concepts needed for actuarial and quantitative work. You will be able to apply to concepts of probability to realworld scenarios. This course will also fully cover all content required by the Society of Actuaries P Exam and its equivalents. This online class has optional live sessions.
MTH 330: Linear Algebra
Algebra of finite dimensional linear spaces, linear transformations and matrices, eigenvalues, and eigenvectors.
MTH 360: Probability and Statistics
Elementary probability, distribution functions, sampling, and testing statistical hypothesis.
MTH 380: Modern Geometry
Euclidean and nonEuclidean geometries.
MTH 400: Secondary Methods in Mathematics
Preparation of mathematics students for their roles as secondary mathematics teachers.
MTH 415: Numerical Analysis
Error analysis, interpolation, approximate differentiation, approximate integration, solutions to differential equations, matrix manipulation, and solutions to systems of linear equations. (Same as CSC 415)
MTH 210 and one of the following: CSC 100, CSC 115, or CSC 109
MTH 420: Abstract Algebra I
An introduction to the algebraic structure of the integers and groups, including equivalence relations, subgroups, normal subgroups, homomorphisms, Lagrange’s theorem, and Sylow’s theorem.
MTH 290 and 330 or permission of instructor.
MTH 421: Abstract Algebra II
A continuation of MTH 420, including rings, fields, Galois theory, and solvability by radicals.
MTH 425: Actuarial Science and Risk Management with R
This course focuses on teambased problem solving in actuarial science & risk management. Students will learn the fundamentals of the R programming language, RStudio and R Markdown, and use these tools to complete a range of projects. Projects vary, but may include bond and loan amortization, analysis of the efficient frontier and the capital asset pricing method, insurance liability & estimates of expected loss. This course culminates in a capstone project that ties together skills from throughout the Actuarial Sciences program.
MTH 210, MTH 225, and either CSC 100, CSC 109, or CSC 115
MTH 440: Advanced Calculus I
The real numbers; series; continuous, uniformly continuous, differentiable, and integrable functions; sequences; compact sets; the HeineBorel theorem; the BolzanoWeierstrass theorem; limits; and the fundamental theorem of calculus.
MTH 220 and 290
MTH 441: Advanced Calculus II
A continuation of MTH 440 to multivariate calculus, including sequences and series of functions, uniform convergence and power series, partial derivatives, the Inverse and Implicit Function Theorems, and multiple integrals.
MTH 445: Special Topics
An exploration of one or more advanced undergraduate topics in mathematics not included in the list of courses in the catalog. The course name and appropriate prerequisites will be announced well in advance.
MTH 447: Mathematics Seminar
Taken in the senior year, resulting in a paper to be presented to the faculty.
MTH 450: Independent Study
Individual work on special topics in mathematics.