Bachelor of Mathematics

Upon successful completion of this Program, students are expected to achieve the following outcomes:
– ​Knowledge Skills
K(1) Demonstrate knowledge of basic concepts, principles, and theories in various areas of mathematics.

– ​Intellectual Skills
I(1) Construct correct mathematical proofs in a systematic way.
I(2) Analyze mathematical and statistical problems and draw clear and reasonable conclusions.
​
​- Practical Skills
P(1) Utilize techniques, skills and modern scientific tools such as mathematical packages, and statistical software necessary for professional practice.
​P(2) Apply knowledge of mathematics and statistics in a variety of contexts related to science, technology and business.

​- Transferrable Skills
T(1) Work in multidisciplinary teams and collaborate intellectually and creatively in diverse contexts.
T(2) Use electronic databases and library to access information related to mathematical problems.​
​T(3​) Communicate the results and arguments clearly, and correctly, both written and orally.​

Jordanian General Secondary Certificate with min 60% average.

103101 – Calculus (1) (3:3-0)
Prerequisite: None
Introduction to functions of one variable, limits, and continuity. Differentiation techniques and applications, including the Mean Value Theorem. Definite integrals and the Fundamental Theorem of Calculus. Exponential and logarithmic functions with their derivatives and integrals.

103102 – Calculus (2) (3:3-0)
Prerequisite: 103101
Advanced integration techniques, improper integrals, and applications of definite integrals to compute areas, volumes, and surface areas. Study of sequences and series, including power series and Taylor/Maclaurin expansions. Inverse trigonometric and hyperbolic functions.

103201 – Calculus (3) (3:3-0)
Prerequisite: 103102
Topics include conic sections, parametric equations, polar coordinates and graphs, and vector calculus. Functions of several variables, partial derivatives, and multiple integrals are introduced, along with analytic geometry in three-dimensional space.

103212 – Introduction to Real Analysis (3:3-0)
Prerequisite: 103251
Study of the topology of real numbers, sequences, limits, Cauchy sequences, and continuity. Differentiation including Rolle’s and Mean Value Theorems.

103222 – Differential Equations (3:3-0)
Prerequisite: 103102
First- and higher-order differential equations, series solutions near ordinary points, and Laplace transform methods. Applications to physical and engineering problems.

103231 – Principles of Statistics (3:3-0)
Prerequisite: 103101
Fundamentals of descriptive and inferential statistics, probability theory, random variables, probability distributions, sampling distributions, estimation, and hypothesis testing.

103241 – Linear Algebra (1) (3:3-0)
Prerequisite: 103102
Linear systems, matrices, determinants, vector spaces, basis and orthogonal basis, linear transformations, eigenvalues, and eigenvectors.

103242 – Abstract Algebra (1) (3:3-0)
Prerequisite: 103251
Groups, subgroups, cyclic groups, permutation groups, isomorphisms, cosets, Lagrange’s theorem, normal subgroups, factor groups, and fundamental theorems on finite Abelian groups.

103250 – Discrete Mathematics (1) (3:3-0)
Prerequisite: 103101
Propositional and predicate logic, proofs, set theory, relations, functions, combinatorics, graph theory, and introductory trees.

103251 – Fundamentals of Mathematics (3:3-0)
Prerequisite: 103102
Logic, mathematical proofs, set theory, relations, functions, denumerable and nondenumerable sets, cardinal numbers, and basic number theory concepts.

103262 – Euclidean Geometry (3:3-0)
Prerequisite: 103201
Foundations of geometry, axiomatic reasoning, Euclid’s postulates, congruence and similarity, affine and ordered geometries, and transformations.

103313 – Real Analysis (1) (3:3-0)
Prerequisite: 103212
Riemann-Stieltjes integrability, fundamental theorem of calculus, convergence of sequences and series, exponential and logarithmic functions, and open/closed sets in ℝ.

103314 – Real Analysis (2) (3:3-0)
Prerequisite: 103313
Advanced sequence and series convergence, Dirichlet test, Dini’s theorem, uniform convergence, and improper integrals.

103322 – Partial Differential Equations (3:3-0)
Prerequisite: 103222
Boundary value problems, Sturm-Liouville theory, Laplace and Fourier transforms, heat and wave equations, classification of PDEs, and solutions in various domains.

103332 – Probability Theory (3:3-0)
Prerequisite: 103201
Probability laws, random variables, distributions (discrete/continuous), conditional probability, independence, and functions of random variables.

103333 – Biostatistics (2:2-0)
Prerequisite: 103101
Descriptive and inferential statistics for biological applications, including probability rules, distributions, confidence intervals, and hypothesis testing.

103344 – Number Theory (3:3-0)
Prerequisite: 103251
Divisibility, Diophantine equations, prime numbers, arithmetic functions, congruences, and major theorems (Fermat, Wilson, Euler).

103365 – General Topology (3:3-0)
Prerequisite: 103251
Topological spaces, continuous functions, separation axioms, compactness, and connectedness.

103373 – Numerical Analysis (1) (3:3-0)
Prerequisite: 103102
Taylor expansions, error analysis, root-finding, numerical solutions of linear systems, interpolation, numerical differentiation and integration, and least squares approximation.

103376 – Graph Theory (3:3-0)
Prerequisite: 103241, 103251
Graphs, subgraphs, isomorphism, trees, bipartite graphs, graph coloring, matrices, Eulerian and Hamiltonian graphs, networks, and applications.

103381 – Linear Programming (3:3-0)
Prerequisite: 103241
Linear programming formulation, simplex method, duality, sensitivity analysis, and applications in transportation and network problems.

103401 – History of Mathematics (3:3-0)
Prerequisite: Fourth Year
History of mathematics from ancient civilizations to Greek and Arab-Islamic contributions, including biographies of major mathematicians and their achievements.

103402 – Teaching Mathematics (3:3-0)
Prerequisite: Fourth Year
Methods and approaches in teaching mathematics across different educational levels, including lesson planning and evaluation.

103413 – Theory of Special Functions (3:3-0)
Prerequisite: 103314
Gamma and Beta functions, Legendre polynomials, Bessel functions, incomplete gamma, error functions, Riemann zeta function, and elliptic integrals.

103414 – Complex Analysis (3:3-0)
Prerequisite: 103313
Complex numbers, analytic functions, Cauchy-Riemann conditions, complex integration, residues, poles, and conformal mapping.

103415 – Functional Analysis (3:3-0)
Prerequisite: 103314
Metric and normed spaces, Banach and Hilbert spaces, linear operators, compactness, and fundamental theorems in functional analysis.

103422 – Advanced Differential Equations (3:3-0)
Prerequisite: 103222
Linear systems, stability, Lyapunov methods, and existence/uniqueness theorems.

103431 & 103432 – Mathematical Statistics (1 & 2) (3:3-0)
Prerequisites: 103332 / 103431
Probability distributions, estimation, hypothesis testing, confidence intervals, and Bayesian methods.

103433 – Applied Statistics (3:2-1)
Prerequisite: 103431
Statistical inference for two samples, regression, correlation, and analysis of variance.

103442 – Abstract Algebra (2) (3:3-0)
Prerequisite: 103242
Rings, ideals, factor rings, polynomial factorization, integral domains, and introduction to Galois theory.

103443 – Linear Algebra (2) (3:3-0)
Prerequisite: 103241
Finite-dimensional vector spaces, linear transformations, matrices, inner product spaces, and canonical forms.

103445 – Matrix Theory (3:3-0)
Prerequisite: 103241
Eigenvalues, Jordan form, matrix types, Schur’s theorem, positive definite matrices, Hermitian/unitary matrices, norms, and numerical radius.

103451 – Set Theory (3:3-0)
Prerequisite: 103251
Zermelo-Fraenkel axioms, equipollence, ordinal arithmetic, transfinite induction, and the axiom of choice.

103470 – Math Software Packages (3:3-0)
Prerequisite: 9600101
Mathematica training: algorithm development, numerical and symbolic computations, graph plotting, and applications in calculus, differential equations, linear algebra, statistics, number theory, and optimization.

103472 – Applied Mathematics (3:3-0)
Prerequisite: 103322
Wave equation solutions, finite vibrations, Fourier transforms, PDEs, polar coordinates, Laplace equation, and variational/perturbation methods.

103474 – Numerical Analysis (2) (3:3-0)
Prerequisite: 103373
Numerical integration, ODE and PDE solutions, initial and boundary value problems, and finite difference methods.

103479 – Mathematical Modeling (3:3-0)
Prerequisite: 103322
Mathematical modeling techniques, population dynamics, growth stability, resource management, ODE bifurcations, and applied modeling in science and finance.

103481 – Nonlinear Programming (3:3-0)
Prerequisite: 103381
Nonlinear optimization, necessary/sufficient conditions, convex functions, Lagrange multipliers, and numerical methods for constrained/unconstrained problems.

103482 – Calculus of Variations (3:3-0)
Prerequisite: 103201
Euler-Lagrange and related conditions for extrema, necessary and sufficient criteria, and example applications.

103483 – Optimal Control Theory (3:3-0)
Prerequisite: 103222
Optimal control problems, Pontryagin maximum principle, dynamic programming, Hamilton-Jacobi theory, and linear regulator problems.

103492 – Special Topics in Mathematics (3:3-0)
Prerequisite: Fourth Year
Variable content, open to advanced study under faculty supervision. Can be taken for credit once.

103498 – Seminar (1:1-0)
Prerequisite: Fourth Year
Preparation and presentation of a seminar on a selected mathematics-related scientific topic.

Physics Courses

104101 – General Physics (1) (3:3-0)
Prerequisite: None
Vectors, kinematics and dynamics of point particles, Newton’s laws, statics, torque, circular motion, work, energy, power, momentum, elasticity, stress and strain, and simple harmonic motion.

104102 – General Physics (2) (3:3-0)
Prerequisite: 104101
Electrostatics, direct current, electricity and magnetism theories, wave motion, and sound.

104103 – General Physics for Medical Sciences (3:3-0)
Prerequisite: None
Vectors, kinematics, dynamics, circular motion, work, energy, power, momentum, elasticity, stress/strain, vibrations, fluid mechanics, electrostatics, current, magnetism, waves, optics, and X-rays.

104106 – General Physics Laboratory (1:0-1)
Prerequisite: 104102 or concurrent
Experiments on measurements, uncertainties, simple harmonic motion, Hooke’s law, specific heat, Ohm’s law, potentiometer, Wheatstone bridge, electric field mapping, capacitance, Joule’s law, and electromagnetic induction.

104107 – General Physics for Information Technology (3:3-0)
Prerequisite: None
Vectors, kinematics, dynamics, statics, torque, energy, power, vibrations, electrostatics, circuits, electromotive force, resistors, RC circuits, magnetic fields.

104108 – Electronic Physics (3:3-0)
Prerequisite: 104107
DC and AC circuits, digital signals, semiconductors, diodes, transistors (BJT), logic gates, transistor biasing, logic circuits, binary systems, and Boolean algebra.

104111 – General Physics Laboratory (1) (1:0-1)
Prerequisite: 104101 or concurrent
Experiments on measurements, vectors, forces, motion, momentum, energy, simple harmonic motion, pendulum, spring, Boyle’s law, viscosity, and specific heat.

104112 – General Physics Laboratory (2) (1:0-1)
Prerequisite: 104102 or concurrent
Experiments on Ohm’s law, Wheatstone bridge, potentiometer, capacitance, specific charge, Joule’s law, Kirchhoff’s laws, earth’s magnetic field, and electromagnetic induction.

104118 – Electronic Physics Laboratory (1:0-1)
Prerequisite: 104108 or concurrent
Experiments on electronic components, Ohm’s law, Kirchhoff’s laws, oscilloscope and function generator operations, diode characteristics, rectifications, logic gates, transistor amplifiers, JFET, and linear OP-AMP circuits.