## Mathematics

A minor in Mathematics would be advantageous to a student contemplating graduate study in many sciences, egineering, telecommunications or financial mathematics.

To complete a minor in mathematics, 7 courses (24 credits) must be taken in mathematics in accordance with the following schedule.

Minor courses must be completed within the student's graduation timeline. A minimum GPA of 2.0 must be achieved in the minor coursework.

Please note, with the exception of the three 4-credit Calculus courses, mathematics courses are worth 3 credits. Inasmuch as the required courses are sequential and ordinarily offered yearly, the student may complete the minor in mathematics in - to reckon from the commencement of the semester in which Analytical Geometry and Calculus I is taken (and passed) - as few as two and one-half academic years; it is more likely, however, that the completion of the minor will require at least three full academic years. Owing to the fundamental nature mathematics, several majors at La Roche entail either a minor in mathematics or a significant part thereof.

### Summary of Requirements

#### Required Courses: 24 credits

- MATH1032ANALYTIC GEOMETRY & CALCULUS I |
### MATH1032

ANALYTIC GEOMETRY & CALCULUS I |#### Credits (Min/Max): 4/4

The first semester of a three-semester integrated course in the elements of analytic geometry and differential and integral calculus. Included are the concept and applications of the derivative of a function of a single variable, differentiation of polynomials and the trigonometric functions, the chain, product and quotient rules, implicit differentiation, and differentials. Concludes with anti-differentiation, integration, area under graphs of functions and applications.|

#### PREREQUISITES:

*MATH1010* - MATH1033ANALYTIC GEOMETRY & CALCULUS II |
### MATH1033

ANALYTIC GEOMETRY & CALCULUS II |#### Credits (Min/Max): 4/4

A continuation of MATH1032 including applications of the definite integral, area, arc length, volumes and surface area, centroids, average value and theorem of the mean for definite integrals. Derivatives and integrals of transcendental functions are followed by techniques of integration, L'Hopital's Rule and indeterminate forms and improper integrals. Also included are conic sections and polar coordinates.|

#### PREREQUISITES:

*MATH1032* - MATH2030ANALYTIC GEOMETRY & CALC III |
### MATH2030

ANALYTIC GEOMETRY & CALC III |#### Credits (Min/Max): 4/4

A continuation of MATH1033 including a study of vectors, parametric equations, solid analytic geometry and functions of several variables. Includes partial differentiation, total differentials, multiple integrals and surface and line integrals, the theorems of Gauss and Stokes, and infinite series.|

#### PREREQUISITES:

*MATH1033* - MATH2031ORDINARY DIFFERENTIAL EQUATIONS |
### MATH2031

ORDINARY DIFFERENTIAL EQUATIONS |#### Credits (Min/Max): 3/3

A study of first and second order differential equations, infinite series, Laplace transforms and power series together with existence of solution and uniqueness theorems.|

#### PREREQUISITES:

*MATH2030* - MATH2050DISCRETE MATHEMATICS I |
### MATH2050

DISCRETE MATHEMATICS I |#### Credits (Min/Max): 3/3

A basic course dealing with mathematics applicable to computer science. It provides an introduction to mathematical methods and covers such topics as: enumeration, set theory, mathematical logic, proof techniques, number systems, functions and relations, graphs and digraphs, trees, combinitorics, basic algebraic structures, recurrence relations, Boolean algebra, and analysis of algorithms.|

#### PREREQUISITES:

*MATH1032* - MATH2051DISCRETE MATHEMATICS II |
### MATH2051

DISCRETE MATHEMATICS II |#### Credits (Min/Max): 3/3

A continuation of MATH1014. Topics to be covered will include some or all of the following: integers and integers Mod n; counting techniques, combinatorics, and discrete probability; graphs, trees, and relations; Boolean algebras; and models of computation such as grammars, finite-state machines, and Turing machines.|

#### PREREQUISITES:

*MATH2050* - MATH3015LINEAR ALGEBRA |
### MATH3015

LINEAR ALGEBRA |#### Credits (Min/Max): 3/3

A development of the theory of vector spaces from linear equations, matrices and determinants. Topics include linear independence, bases, dimensions, linear mappings, orthogonal reduction, diagonalization of matrices using eigenvectors and eigenvalues.|

#### PREREQUISITES: