Teaching

Teaching experience

Jordan University of Science and Technology2023 – now

University of Manitoba2020 – 2022

University of Waterloo2018 – 2020

Yarmouk University2010 – 2012

Courses Taught

Jordan University of Science and Technology

2023 – now

MATH 101

Calculus I

Course Description: Functions, limits, and continuity and their applications: chain rule, implicit differentiation, related rates, increase decrease, concavity. Extrema. Newton's method, Roll's theorem, Mean-Value theorem, definite and indefinite integrations, fundamental theorem of calculus, area and volume, inverse functions, exponential and logarithmic functions with their derivatives. Conic sections.

Textbook: H. Anton, I. Bivens, and S. Davis, Calculus, Early Transcendental, 10th Ed (2012).

Cover of Calculus, Early Transcendental by Anton, Bivens, and Davis.

MATH 201

Intermediate Analysis

Course Description: Three-Dimensional Space: vectors, lines, planes. Vector-Valued Functions: calculus of vector-valued functions, arc length parameterization, curvature, and motion along a curve. Partial Derivatives: limits and continuity, partial derivatives, chain rule, gradient and directional derivatives, Lagrange multipliers. Multiple and Triple Integrals: double integral over (non)rectangular regions, double integral in polar coordinates, applications (area, surface area, and volume), triple integral over (non)rectangular solids, triple integral in cylindrical and spherical coordinates, application (volume). Vector Calculus: line integrals, independence of path; conservative vector fields, Green’s theorem.

Textbook: H. Anton, I. Bivens, and S. Davis, Calculus, Early Transcendental, 10th Ed (2012).

MATH 203

Ordinary Differential Equation I

Course Description: Classification, solution, and applications of first-order ordinary differential equations. Solutions and applications of differential equations of higher order. Solutions by series near ordinary points. Solving IVPs using Laplace transform. Linear systems of differential equations.

Textbook: R. Nagle, E. Saff, and A.D. Snider, Fundamentals of Differential Equations, 8th Ed (2010).

Cover of Fundamentals of Differential Equations by Nagle, Saff, and Snider.

MATH 252

Mathematical Methods I

Course Description: Laplace transforms: definition, properties, inverse Laplace transform, solving IVP's, Laplace transforms and special functions, convolution, impulses, and the Dirac Delta functions. Special functions: Gamma, Beta, Error, trigonometric series, periodic extension and convergence, Fourier series, convergence of Fourier series, integration and differentiation of Fourier series, conditions for the uniform of a Fourier series. Fourier transform, integral Fourier transform. Fourier sine and cosine transforms, applications to Fourier transform.

Textbook: M. L. Boas, Mathematical Methods in The Physical Science, 3rd Ed (2010).

Cover of Mathematical Methods in the Physical Sciences by Mary L. Boas.

MATH 340

Linear Algebra II

Course Description: Inner products space, Gram-Schmidt process, QR decomposition, eigenvalues and eigenvectors, orthogonal diagonalization, general linear transformation, similarity, complex inner spaces, unitary, normal, and hermitian matrices.

Textbook: H. Anton and C. Rorres, Elementary Linear Algebra, 9th Ed (2005).

Cover of Elementary Linear Algebra by Anton and Rorres.

University of Manitoba

2020 – 2022

MATH 2130

Engineering Mathematical Analysis

Course Description: Vector algebra; three-dimensional geometry including lines, planes, cylinders, and quadratic surfaces; lengths and tangent vectors for space curves. Limits, partial derivatives, gradients, chain rules, implicit differentiation, directional derivatives, tangent lines and planes, relative and absolute extrema. Double and triple integrals applied to area, volume, centres of mass, moments of inertia, fluid pressure, and surface area, iterated integrals in polar, cylindrical, and spherical coordinates.

Textbook: D. Trim, Calculus for Engineers (2007).

Cover of Calculus for Engineers by Donald Trim.

University of Waterloo

2018 – 2020

MATH 115

Linear Algebra for Engineering

Course Description: Complex numbers; vectors, lines and planes; systems of linear equations; matrices, linear transformations and determinants; introduction to vector spaces; eigenvalues, eigenvectors and diagonalization; the Gram-Schmidt algorithm and orthogonal diagonalization; Singular value decomposition.

Textbook: K. Hardy, Linear Algebra for Engineers and Scientists (2005).

Cover of Linear Algebra for Engineers and Scientists by Kenneth Hardy.

MATH 228

Differential Equations for Physics and Chemistry

Course Description: First-order equations; second-order linear equations; series solutions; the Laplace transform method; exact and numerical methods for solving differential equations; and applications in physics and chemistry.

Textbook: W. E. Boyce, R. C. DiPrima & B. M. Meade, Elementary Differential Equations and Boundary Value Problems (2017).

Cover of Elementary Differential Equations and Boundary Value Problems by Boyce, DiPrima, and Meade.

MATH 127

Calculus 1 for the Sciences

Course Description: Functions of a real variable: powers, rational functions, trigonometric, exponential and logarithmic functions, their properties and inverses. Intuitive discussion of limits and continuity. Definition and interpretation of the derivative, derivatives of elementary functions, derivative rules and applications. Riemann sums and other approximations to the definite integral. Fundamental theorems and antiderivatives; change of variable. Applications to area, rates, average value.

Textbook: D. Guichard, Calculus - Early Transcendentals (2017).

Cover of Calculus - Early Transcendentals by David Guichard.

Yarmouk University

2010 – 2012

MATH 101

Calculus I

Course Description: Limits and continuity; derivatives; rules of differentiation; and tangent and normal lines. The mean value theorem of differentiation and its applications; indeterminate forms; vertical and horizontal asymptotes local extrema; concavity; and curve sketching. The definite integral, the fundamental theorem of calculus, and the indefinite integral. Applications of the definite integral: Area, solids of revolutions, and volumes using cylindrical shells. The transcendental functions: The general exponential and logarithmic functions.

Textbook: S. L. Salas, G. J. Etgen, E. Hille, Calculus: One and Several Variables (2006).

Cover of Calculus: One and Several Variables by Salas, Hille, and Etgen.

MATH 102

Calculus II

Course Description: Hyperbolic functions, inverse functions of trigonometric, and hyperbolic functions. Techniques of integration: Integration by parts, trigonometric substitutions, partial fractions, and quadratic expressions. Plane curves, polar coordinates, and area in polar coordinates. Sequences and infinite series: convergence and divergence, positive term series, alternating series, absolute and conditional convergence, and improper integrals. Power series: Differentiation and integration of power series; and Taylor series.

Textbook: S. L. Salas, G. J. Etgen, E. Hille, Calculus: One and Several Variables (2006).

MATH 152

Discrete Mathematics

Course Description: Logic, methods of proof, boolean algebra, sets, relations, functions, ordered relations, counting principles, mathematical induction, recursive relations, permutations, Graphs, and trees.

Textbook: O. Nicodemi, Discrete Mathematics (1987).

Cover of Discrete Mathematics by Olympia Nicodemi.

MATH 101A

Calculus for Management Information Systems Students

Course Description: Elementary functions; limits and continuity; derivatives; and rules of differentiation. Tangent and normal lines. Applications of differentiation: increasing and decreasing functions, extreme values, concavity, and curve sketching. The definite integral, the fundamental theorem of calculus, and the indefinite integral. Applications of the definite integral: Areas and volumes. The transcendental functions: The general exponential and logarithmic functions.

Textbook: S. L. Salas, G. J. Etgen, E. Hille, Calculus: One and Several Variables (2006).

MATH 203

Ordinary Differential Equations I

Course Description: Introduction and classification, solutions of first-order differential equations and their applications (Growth and decay problems and linear motion problems), solutions of higher-order linear differential equations and their applications (Spring problem and projectile problems). Series solutions of differential equations near ordinary points. Laplace transforms.

Textbook: W. E. Boyce, R. C. DiPrima & B. M. Meade, Elementary Differential Equations and Boundary Value Problems (2007).

Cover of Elementary Differential Equations and Boundary Value Problems by Boyce and DiPrima.

MATH 241

Linear Algebra I

Course Description: Systems of linear equations, Gaussian elimination, matrices, and matrix arithmetic. The inverse of a matrix, determinants, evaluating determinants, properties of determinants, and Cramer’s rule. Vector spaces; subspaces; linear dependence; bases and dimension; row and column spaces; null space; and rank and nullity. Eigenvalues and eigenvectors, diagonalization. Linear transformations, kernel, and range.

Textbook: H. Anton & C. Rorres, Elementary Linear Algebra with Applications (2005).

MATH 291

Mathematics Software Packages

Course Description: Introduction to Maple software. Solving elementary problems in calculus and linear Algebra that include vectors, matrices, basic functions, linear systems, and basic operations. Loops and conditions. Plotting in 2D and 3D, solving mathematical symbol problems in calculus and linear algebra, and building symbolic manipulation.