Course descriptions

Provides an introduction to differential and integral calculus. Includes limits, derivatives and applications of derivatives such as related rates, Newton's method, the Mean-value Theorem, Max-Min problems, and curve sketching. Covers integrals, the Fundamental Theorem of Integral Calculus, and applications of integrals, volumes, and average values.

Topics include integration techniques for exponential and logarithmic functions, inverse (trigonometric) functions, hyperbolic functions, the use of polar coordinates, improper integrals, some introductory basics of 1st order ordinary differential equations, infinite series and their convergence and divergence, power and Taylor series and their radii of convergence.

Studies of linear equations and their matrix representations. Introduces the Gaussian elimination methods and determinants in matrix algebra. Reviews the geometric vectors in two and three dimensions and their linear transformations. Define vector spaces; linear independence; basis; row; column and null spaces; rank and nullity.

Topics selected from vector spaces, bases, linear transformations, matrices, canonical forms, Eigen values, hermitian and unitary matrices, inner product spaces, and quadratic forms.

Presents a basic introduction to probability, statistics, and data analysis. The topics covered include visualizing data, summary statistics, simple and conditional probability calculations, discrete and continuous probability distributions, and using p-values for basic hypothesis testing. Further, ideas from the course will be investigated computationally via short projects using a computer program such as Excel, Python, R, or MATLAB, etc.

Topics include vectors, cylindrical and spherical coordinates, vector-valued functions, arc length and curvature, functions of several variables, partial and directional derivatives, gradients, extrema, Lagrange multipliers, multiple integrals, change of variables, surface area, vector fields, Stokes’ Theorem.

Topics will be chosen from: linear differential equations, equations with constant coefficients, Laplace transforms, power series solutions, and systems of ordinary differential equations.

Limits, continuity, and differentiability of functions of one and several variables, sequences and series, and the Riemann Stieltjes integral.

Provides an introduction to numerical analysis. The main topics covered are: Propagation of floating-point error; Zeroes of nonlinear functions: Bisection method, Newton’s method, Secant method, fixed point method; convergence criteria, rate of convergence, effect of multiplicity of zero; introduction to the use of Newton’s method for systems of nonlinear equations. Systems of linear equations: Gauss elimination, LU and Cholesky factorization, ill-conditioning, condition number; iterative methods: Jacobi, Gauss-Seidel, SOR, convergence criterion. Interpolation and Quadrature: Lagrange interpolation, error formula; Newton-Cotes and Romberg quadrature.

Introduction to groups, rings, and fields, with emphasis on groups and rings.

The course will cover various advanced topics in applied mathematics, and can be taken more than once for credit. Examples of such topics are: Fast transforms, digital filters, etc.

This course is designed to provide an overview of physical activity and lifetime personal fitness. The course introduces different components of fitness, different types of aerobic/anaerobic exercises, flexibility and body composition, muscular strength and endurance and management of personal fitness and nutrition. The course covers a variety of lifetime activities that promote health and well-being.

This is an introductory course for students in non-science majors presenting physical principles and laws through examples from everyday life experiences. Topics covered include inertia, speed and velocity, acceleration, Newton’s laws, projectile motion, rotational motion, work and energy, friction, conservation laws, equilibrium, Hooke’s law, fluids and their motion, heat and thermodynamics, mechanical waves and resonance.

Introduces concepts of modern physics such as relativity, quantum mechanics in addition to atomic and nuclear physics. Builds up awareness about the energy future of our planet.

Introduces basic concepts and laws of mechanics and fluids with emphasis on enhancing the problem-solving skills of the students. Topics covered include kinematics in one and two dimensions, Newton’s laws, rotational motion, simple harmonic motion, and introduction to fluid mechanics.

Provides students with laboratory experience to enhance theoretical knowledge gained from PHYS 110 lectures. Investigates measurements involving speed, acceleration, forces, momentum, energy, and more. Provides experience in analyzing measured data and estimating of uncertainties.

Required for students majoring in engineering, the course is based on calculus. Topics include concepts in electromagnetism together with their relationship to practical applications.

Provides students with Laboratory experience and supports fundamental knowledge in electromagnetism. The course equips students with hands-on-experience and deepen the understanding of the relations between experiment and theory.