The MSU offers a minor in Mathematics for RHU students. It is designed to give students a solid foundation in mathematics as well as some experience in the discipline at an advanced level.
The aims of a minor in Mathematics are:
At the end of this minor, the student is expected to demonstrate:
Interested RHU students need to fill in the appropriate form declaring that they will be minoring in Mathematics while completing their regular major.
This minor allows its holders to seek careers in a variety of sectors no matter what a student’s major is. Graduates from this minor can seek jobs related to teaching, banking and finance, computing, and statistical work.
To successfully complete the Minor in Mathematics, a student must
The mathematics minor consists of six courses (19 credits) in which three are mandatory and three are electives, selected to satisfy the requirements of the proposed program objectives and learning outcomes.
This minor allows its holders to seek careers in a variety of sectors no matter what a student’s major is. Graduates from this minor can seek jobs related to teaching, banking and finance, computing and statistical works.
First-order linear differential equations, linear differential equations of second and higher order, linear differential equations with variable coefficients, series solutions, systems of differential equations, Laplace transforms, and their inverses.
Prerequisite: MATH 211.
Probability and conditional probability, Discrete and continuous random variables, marginal distributions, expectation, variance-mean-median-covariance and correlation, conditional expectation, Normal distribution, Sampling distribution, Prediction and confidence intervals, Hypothesis testing, and regression line and correlation coefficients.
Error Analysis, solutions of nonlinear equations using fixed point- Newton-Raphson-Muller’s methods, solution of linear system using Gaussian elimination-iterative methods, interpolation and approximation using Taylor series-Lagrange approximation-Newton polynomials, numerical differentiation and integration, numerical optimization, solutions of ordinary and partial differential equations using Euler’s and Heun’s and Rung-Kutta methods, MATLAB codes Related to the topics mentioned above.
Prerequisite: MATH 311.
Lagrange theorem, boundary conditions of first-order equations, non-linear first order PDE’s, Charpit’s equations, second order PDE’s, classification: hyperbolic, parabolic, and elliptic, the method of separation of variables, introduction to Fourier series and integrals, boundary value problems: heat equation, wave equation, Laplace equation, and finite-length strings.
Prerequisite: MATH 314.
Ordered, finite countable and uncountable sets, sequences, subsequences, Cauchy sequences, upper and lower limits, series, limits of sequences of functions, continuity and compactness, connectedness, infinite limits, and limits at infinity, differentiation of vector-valued functions, series of functions, uniform convergence and continuity, functions of several variables, the inverse function and the implicit function theorems, the rank theorem.
Prerequisite: MATH 215.
Theory of vector-valued functions, divergence, gradient, curl, vector fields, path integrals, surface integrals, constrained extrema, and Lagrange multipliers. Implicit function theorem. Green’s and Stokes’ theorems, introduction to differential geometry.
Prerequisites: MATH 215 and MATH 311.
Complex numbers, geometric representation, analytic functions, real line integrals, complex integration, power series, residues, poles, and conformal mappings.
Prerequisite: MATH215.
Combinatorics through graph theory. Topics include connectedness, factorization, Hamiltonian graphs, network flows, Ramsey numbers, graph coloring, automorphisms of graphs, and Polya’s Enumeration Theorem.
Prerequisites: MATH 316 and Math 210.
If you have a query about a specific major or application, please contact the relevant Administrative Assistant.
Administrative Assistant Tel: +961 5 60 30 90 Ext. 701
E-mail: da_cas@rhu.edu.lb