Mathematics courses Description

 

 Math 135:Genaral Mathematics:
Sets and Vein Diagram, linear equations and solutions of 2x2 systems of linear equations, polynomials, rational and radical expressions, quadratic equations, and inequalities, an introduction to statistics: data collection, description of data, measures of central tendency, measures of dispersion, normal distribution, introduction to regression and correlation.

          No credit for Tawjihi Scientific Stream.

Calculus Sequence for Engineering Students

Math 141E: Calculus for Engineering 1 (4) (2 lectures and 2 discussions)(2+2) major changes.

Functions, limits and continuity, differentiation, extreme values, first and second derivative tests and graphing techniques, L’Hopitals, applications of derivatives, integrations, definite and indefinite integrals, fundamental theorem of calculus, applications of integrations, hyperbolic functions, inverse function, inverse trigonometric and hyperbolic functions..

Math 142E: Calculus for Engineering II (4) (2 lectures and 2 discussions) (2+2). major changes

Methods of integration, improper integrals, infinite sequences and infinite series, power series, Taylor and Maclaurin series, conic sections, parametric curves and polar coordinates, vector valued functions, and space curves, vectors and analytic geometry in space, complex numbers.

Prerequisite: Math 141E.

Math 231E Calculus for Engineering III (3) major changes.

Functions of several variables: limits and continuity of functions of several variables, partial derivatives, gradients, extreme values and differentials of multivariate functions, divergence, curl, and Laplacian. Multiple integrals: double integrals, triple integrals, line and surface integrals, divergence theorem, Stoke’s theorem, and Green’s theorem.

Prerequisite: Math 142E.

Calculus Sequence for Science Students

Math 141S: Calculus for Science 1 (4) (2 lectures and 2 discussions)(2+2). major changes

Linear equations and inequalities, linear programming, absolute value, functions: domain and rage of functions, inverses, operations, asymptotes, graphs and shifts, exponential, logarithmic, and trigonometric functions, limits and continuity, differentiation, extreme values, first and second derivative tests and graphing techniques, L’Hopitals, applications of derivatives, integrations, definite and indefinite integrals, fundamental theorem of calculus.

Math 142S: Calculus for Science II (4) (2 lectures and 2 discussions) (2+2). major changes

Applications of integrations, hyperbolic functions, inverse function, inverse trigonometric and hyperbolic functions, methods of integration, improper integrals, infinite sequences and infinite series, power series, Taylor and Maclaurin series, conic sections, complex numbers.

Prerequisite: Math 141S.

Math 231S Calculus for Science III (3) major changes.

Parametric curves and polar coordinates, vector valued functions, and space curves, vectors and analytic geometry in space. Functions of several variables: limits and continuity of functions of several variables, partial derivatives, gradients, extreme values and differentials of multivariate functions, divergence, curl, and Laplacian, multiple integrals: double integrals, triple integrals.

Prerequisite: Math142S.

Math 220 Scientific Computing tools (2) (NEW)
Symbolic mathematical programming using one of each group: (1) Maple, Mathematica, Matlab. (2)  SPSS, Excel, or any other statistic or Scientific programs.

Math 233 Introduction to Logic and Set Theory (3).
Mathematical reasoning and basic concepts of symbolic logic, methods of proof, set theory: relations and functions, finite and infinite sets, equivalence relations and congruences, divisibility and the fundamental theorem of arithmetic, well-ordering principle and the axiom of choice.

Prerequisite: Math 142.

Math 234 Linear Algebra (3) minor changes.
Systems of linear equations, matrices: matrix algebra, determinants, Cramer’s rule, vector spaces and subspaces, basis, change of basis and dimension, linear transformations, matrices of linear transformations, inner products, norms, the Gram-Schmidt Process, eigenvalues and eigenvectors, diagonalization, selected applications.

Prerequisite: Math 142.

Math 235 Mathematics for Business (3) minor changes.
Linear models: equations and systems of linear equations, linear inequalities and linear programming, matrices and matrix algebra, nonlinear models: quadratic, exponential and logarithmic equations and functions, differential calculus: differentiation rules, bivariate functions and partial differentiation, optimizations of one and bivariate functions, mathematics of finance, emphasis on economic and business applications.

Prerequisite: Math 135 or Scientific stream.

Math 237 Mathematics for Business (3). Minor changes.
Integrations: definite and indefinite integrals, fundamental theorem of calculus, methods of integration, polar forms, functions of several variables: partial derivatives, multiple integrals, an introduction to differential equations.

 Prerequisite: Math 235

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