The History and Civilization of the Kingdom of Saudi Arabia course is a course that aims to provide a comprehensive study of the history of the Kingdom of Saudi Arabia, from its inception to the modern era, in addition to the development of its civilization in various social, political, cultural and economic fields. The course focuses on the stages of transformation and development that the Kingdom has gone through, highlighting the factors that built the modern Saudi state and its impact on the region and the Islamic world.

A course that aims to develop students’ skills in the Arabic language, both in terms of understanding and oral and written expression. The course focuses on improving students’ ability in listening, reading, speaking, and writing skills, while strengthening grammar and linguistic structure. It also focuses on training students to use the Arabic language in various life and academic situations in a correct and effective manner.

A course that aims to educate students about the concept of Islamic faith in particular, with a focus on the role of faith in building the Muslim family, guiding the behavior of individuals within the family, and promoting Islamic values ​​and principles that govern family relationships. The course also addresses how to achieve a balance between the concepts of faith and family lifestyles, and rights and duties within the family in light of the teachings of Islam.

A course that deals with the study of the interpretation of the verses of the Holy Quran, and seeks to clarify the meanings of the verses and extract lessons and morals from them based on precise scientific and methodological foundations. The course aims to enable students to understand the deep meanings of the verses of the Quran by studying the reasons for revelation, different readings, and the impact of the Quran on daily life, while delving into the various sciences of interpretation and their applications.

The course aims to teach students the texts of the Holy Quran, understand their meanings and interpretations, as well as enhance their spiritual and educational connection to the teachings of the Quran. The course focuses on studying the Holy Quran in terms of interpreting the verses, understanding their historical contexts, and extracting lessons and morals from them, in addition to learning how to recite the Quran and its Tajweed correctly.

It is a course of study that aims to develop students' skills in the English language, and covers the basic aspects that enable them to use the language effectively in academic and practical life situations. The course focuses on improving listening, speaking, reading, and writing skills, with an emphasis on basic grammar and vocabulary necessary to build a strong foundation in the English language.

It aims to provide students with basic knowledge and practical skills in the use of computers and computer software. The course focuses on teaching students how to deal with different software applications, understand operating systems, and interact with Internet tools in order to enhance their ability to use computers efficiently in daily, academic, and professional life.

A course that aims to introduce the basics and fundamental concepts in the field of chemistry. The course focuses on providing students with basic knowledge about the chemical properties of compounds, chemical reactions, and concepts related to atomic structure and chemical bonding. The course also includes an explanation of basic concepts in mechanical and thermal chemistry.

It aims to provide students with basic knowledge on how to manage money and financial resources, whether at the individual or institutional level. The course focuses on understanding the basics of finance such as financial planning, budgeting, savings management, and investing, as well as knowledge of personal finance tools and concepts and business projects. The course aims to enable students to make informed and sustainable financial decisions.

Review of Basic concepts of: Algebraic Operations, Equations and Inequalities, transformation and rotation of axes. Functions, Polynomials and Rational Functions, Complex numbers. Studying Partial fractions, Exponential and Logarithmic Functions. Trigonometric and inverse Trigonometric Functions, Circular functions and their graphs, Trigonometric Identities and Equations. Solving Systems of linear Equations. Matrices. Analytic geometry: line, pair of lines, circle, conic sections: parabola, ellipse, hyperbola.

It is a course that aims to provide basic and advanced concepts related to establishing and managing business projects, and enhances students’ skills in creating business ideas and transforming them into successful projects. The course focuses on developing entrepreneurs’ skills in the areas of planning, strategy, leadership, and innovation, and enhances understanding of how to face challenges and achieve success in changing business environments.

It aims to develop students' skills in the areas of effective learning and effective communication. The course focuses on teaching students how to improve their ability to acquire and organize knowledge, in addition to developing oral and written communication skills that contribute to achieving academic and professional success in various work environments.

It is a course that aims to teach students the ethical principles that Islam urges, and how to apply these values ​​in their daily lives. The course focuses on understanding Islamic teachings related to ethics, and how to promote positive behaviors and integrity, and maintain the highest human values ​​in various aspects of life.

This course is concerned with the study of limits of real functions of a single variable, continuity derivatives and their applications as mentioned in the topics below. 1. The Limit of a function. 2. Continuity and its Consequences, domain and range of functions, hyperbolic and inverse hyperbolic functions. 3. Derivatives. The Chain Rule, Derivatives of polynomial, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions, hyperbolic and inverse hyperbolic functions, Implicit Differentiation. Higher Order Derivatives, 4. Applications of derivatives. Indeterminate Forms and, L’Hospital’s rule, local extrema, concavity, horizontal and vertical asymptotes. Graphing curves, applications of extrema, related rates, Rolle’s theorem, mean value theorem, Taylor and Maclurin’s series in one variable.

Introduction to biology, its definition and most important branches, with a study of the characteristics of living organisms. Identifying the structure of the cell and its types (primitive, plant and animal cells), the functions of cell organelles, and the steps of meiosis and mitosis. Studying plant and animal tissues and their different types (structure and function), the basics of classification and the special characteristics of the kingdoms of living organisms. Studying representatives of other taxonomic groups and studying some biological and physiological processes of living organisms.

It aims to teach students basic English language skills, whether the goal is to improve everyday communication skills or to prepare for using the language in academic or professional contexts. The course includes a range of topics that enhance students' understanding of the English language and help them express themselves effectively in a variety of contexts.

The course aims to provide the basic concepts and tools that students or professionals need to understand how to manage projects effectively from start to finish. The course covers various aspects of project management including planning, execution, monitoring and evaluation.

Introduction and overview of statistics and the definition of some statistical concepts - Organization and presentation of statistical data - Measures of central tendency (Mean, Median and Mode) of the simple data and the frequency distribution. Measures of dispersion (The Range - The Mean Deviation - The Variance and the standard deviation - Coefficient of variation of the simple data and the frequency distribution. Definition of the probability and its applications - Independence of events - Definition of the random variable- The probability function (The probability Distribution of a discrete random variable)- The Expectation and the variance of the random variable. Sampling c of mean- Sampling distribution of sample variance. T Sampling distribution - F Sampling distribution-Central Limit Theorem- Estimating the mean of the single sample and one proportion - Estimating the difference between two means of the two sample. Tests hypotheses (One- and Two-Tailed Tests) - Tests hypotheses about the mean of the single sample and one proportion - Tests hypotheses about the difference between two means of the two sample. Correlation (Pearson and Spearman).

A course intended for students in the early stages of their undergraduate studies in various scientific and engineering disciplines, and aims to introduce the basic concepts in physics and understand the principles governing natural phenomena. The course focuses on providing students with the tools and knowledge necessary to understand the behavior of objects and the interactions between forces and energy, and it is the basis for understanding advanced physics courses in the future.

The definite integral, fundamental theorem of calculus, the indefinite integral, changes of variable, integration of trigonometric and inverse trigonometric functions. Integration of the hyperbolic and inverse hyperbolic functions. Techniques of integration: substitution, by parts, trigonometric substitutions, partial fractions, indeterminate forms, improper integrals, numerical integration. Application of definite integral: Area, volume of revolution, work, arc length. Polar coordinates.

This course provides students with a solid foundation in Python programming language and essential programming concepts. Through a series of lectures, hands-on exercises, and projects, students will learn the fundamentals of Python syntax, data types, control structures, functions, object-oriented programming (OOP) principles, file handling, error handling, and debugging techniques. The semester concludes with a comprehensive review and practice session to prepare students for the semester exam and certification assessment. By the end of the semester, students will have acquired the knowledge and skills needed to write Python programs independently and solve basic programming challenges.

The "Principles of Artificial Intelligence" course aims to introduce students to the fundamental concepts of AI and help them understand the various applications of this field in our daily lives. The course focuses on providing both theoretical and practical foundations that contribute to the development of intelligent systems, as well as explaining the tools and techniques used in building these systems.

Matrices and their operations- Types of matrices- Elementary transformations- Determinants elementary properties of determinants- Inverse of a matrix- Rank of matrix- Linear systems of equations- Vector spaces - Linear independence - Finite dimensional spaces – Bases – Change of Bases - Linear subspaces- Inner product spaces-Linear mappings- Kernel and image of a linear mapping- Eigenvalues and eigenvectors of a matrix and of a linear operator mapping- Diagonalization.

Introduction to Mathematical Logic- Methods of proofs- Mathematical induction- Set theory- The product of a sets- Binary operations- Equivalence relations - Equivalence classes and partitions – Mappings -The images and inverse images of a sets under mappings - Equivalence sets- Countable and finite sets - - - Polynomials-Partial fractions

Basic Properties of the field of real numbers, completeness axiom, sequences and their convergence-monotone sequence -Cauchy criterion. Basic topological properties of the real numbers,Limit of a function, continuous functions and their properties. Uniform continuity, compact sets and its properties. The derivative of a function, Mean value theorem. L'Hospital rule-Taylor theorem.

Cylindrical and spherical coordinates. Partial derivatives: Functions of several variables. Limits and continuity. Partial derivatives. Tangent planes and linear approximations. The chain rule. Directional derivatives and the gradient vector. Maximum and minimum values. Lagrange multiplies. Multiple integrals: Double integrals over rectangles. Iterated integrals. Double integrals over general regions. Double integrals in polar coordinates. Application of double integrals. Surface Area. Triple integrals. Triple integrals in cylindrical and spherical coordinates. Change of variables in multiple integrals

Discrete Probability Distributions (The Mass Probability Function and its properties -Expectation, variance, Standard Deviation and the Moment Generating Functions of the discrete distributions) - Continuous Probability Distributions (The Density Probability Function and its properties – Expectation, variance, Standard Deviation and the Moment Generating Functions of the continuous distributions) -Discrete and Continuous Bivariate Random Variables and their properties (Expectation, Covariance, Correlation Coefficient, Variance of sum or difference of two random variables and the Moment Generating Functions of Bivariate Random Variables) - Bivariate Distributions (Marginal and Conditional Distributions -Independence of Random Variables – Conditional Expectation)- Distributions Function of Random Vector -Random Samples (Distribution of Sample Mean- Law of Large Number- Central Limit Theorem).

Mathematical Induction and Equivalence Relations, Basic definitions and fundamental concepts of divisibility, Greatest common divisor, least common multiple, Prime numbers; fundamental theorem of arithmetic, Special numbers: Fermat and Mersenne numbers, Arithmetical functions: Euler function; the sum of divisors function, the number of positive divisors functions, the sum of positive divisors to a power k function, Congruencies: Basic definitions and concepts; residual systems, linear congruencies, Chinese Remainder Theorem, Euler functions, Euler, Little Fermat and Wilson Theorems, Primitive roots: Order of an integer modulo m, Definition and properties of primitive roots; the theorem of primitive root, Diophantine Equations: Linear Diophantine Equations; Pythagorean triples.

Error analysis (absolute and relative error) – Solution of nonlinear equation in one variable (Bisection method, Fixed point method, Newton’s method + error analysis) – Direct and iterative methods for solving linear systems (Gaussian elimination method, Cramer’s method, LU method, Jacodi and Gauss-Seidel iterative method + error analysis) – Interpolation (Lagrange polynomial, Divided difference + error analysis) – Least square method – Numerical integration (Rectangular rule, Trapezoidal rule, Simpson’s rule, Midpoint rule + error analysis) – Numerical Differentiation (First and second approximation) – Numerical solution of ordinary differential equation (Euler’s method, Runge-kutta methods, …).

Bilinear Forms in vector spaces - Properties of quadratic forms and Matrix Orthogonality in vector spaces Inner product and Euclidian spaces- Gram Shmidt process and orthogonal Matrix - Linear operator in Euclidian spaces - Self-Adjoint, normal and unitary operator.

Introduction to operations research-Mathematical model for some real problems- Mathematical formulation of linear programming problem- Graphical method for solving linear programming problems- Convex sets-Polygons- Extreme point- Optimality theorem- Analytical method (Simplex method) – Big-M method – Two-phase method- Formulation mistakes- Dual problem- Sensitivity analysis- Transportation problems (North corner algorithm). Network (Dijikstra algorithm) (Ford Felkursen algorithem).

"Continuous Population Models for Single Species: "" Exponential Growth - The Logistic Population Model - The Logistic Equation in Epidemiology- Qualitative Analysis"" Discrete Population Models for Single Species: ""Introduction: Linear Models, Graphical Solution of Difference Equations, Equilibrium Analysis, Period-Doubling and Chaotic Behavior"" Continuous Models for Two Interacting Populations: "" The Lotka–Volterra Equations, The Chemostat , Equilibria and Linearization, Qualitative Behavior of Solutions of Linear Systems, Periodic Solutions and Limit Cycles, Species in Competition, Predator–Prey Systems"". "

Definition of Riemann integral- Darboux theorem and Riemann sums - Properties and the principal theorem in calculus. Series of functions- Pointwise convergence and uniform convergence- Algebra and sigma algebra- Finite additivity and countable additivity- Main extension theorem and outer measure- Measurable sets - Measure - Lebesgue measure and its properties- Simple functions- Measurable functions- Lebesgue integral- Theorems of convergence- The relation between Lebesgue and Riemann integral.

Basic concepts: the definition of differential equations (classified – composition)- Differential equations of the first order and their applications: methods of solving differential equations of the first order.-Differential equations of the first order and their applications: orthogonal paths-Differential equations and higher order and its applications: reduction of the order - methods of solution of linear differential equations of higher order with constant coefficients- Differential equations and higher order and its applications: methods of solution of linear differential equations of higher order with non-constant coefficients- Laplace transform and its applications- Solution of linear differential equations of second order transactions of the type many borders by series-Fourier Series of even and odd functions, Fourier expansion and Fourier integration.

Operations on vector – forces and equilibrium in two and three dimension-forces and moments – couples, forces group equivalent – forces equilibrium - the center of gravity - friction

Introduction to packages of One of the statistical computer programs (SPSS or R or SAS or Minitab) and using this program to study the sample and the sample double - Sampling Distributions- Estimation of the population parameters-Tests of statistical hypothesis-Chi-Square tests- Some applications for Analysis of regression and correlation-- the Properties of the estimations - the point and the interval estimation - the estimation and the moments methods.

The axioms of group theory and some examples of groups- Subgroups- Cyclic groups - Lagrange theorem- Normal subgroup- Factor group- homomorphisms- Fundamental theorems of isomorphisms- Automorphisms- Caley theorem and its generalization- Simple groups- Permutation groups- Class equation-Group action on a set- P-groups- Cauchy theorem- Sylow's theorems- External and internal direct product of group- Burnside theorem Dihedral- Quaternians- Groups of automorphisms on finite and infinite cyclic groups.

Numerical methods for solving nonlinear systems: Fixed point method, Newton method – Numerical methods for solving initial value problems for Ordinary Differential Equations (ODE) and Partial Differential Equations (PDE): methods of finite differences, multi-step, conclusion of some methods, error study, stability and convergence- Numerical methods for solving boundary value problems: : Shooting method, method of finite differences of linear and nonlinear issues – Study of error and convergence – Paving method – Applications (applicable problems solved by the computer).

Gamma and Beta functions, Legendre polynomials, Hermit polynomials and Bessel functions, Rodrigues’ Formula, Mutual Orthogonality, Generating Function, Recurrence Relations, boundary value problems and PDE like, Diffusion, wave equation.

Coding and decoding, vector spaces on finite fields, linear symbols, complete symbols, similarity check matrices, decoding, Hamming symbols, circular symbols, BCH symbols, introduction to code analysis, exponential symbols, and general notation keys

Boolean Algebras and their Applications: Boolean Algebras - Boolean functions - simplification of Boolean functions. Graphics Theory: Basic concepts (complete graphs, subgraphs, simple and regular graphs, complete graphs, complete binary decomposition, relationship between graphs and matrices) - Isomorphic graphs - connected graphs (open and closed paths, paths, circuits and cycles) - Planar graphs (Euler formula theorem) - graph coloring (fleury's algorithm, colorization of planar graphs, chromatography algorithm) - Eulerian graphs (Euleriancircuit algorithm, half-Eulerian graphs) -Hamaltonian graphs (Hamaltonian algorithm, half-Hamilton graphs) -The shortest path problem (Descartes algorithm) -Directed graphs. Trees and their applications: Spanning Trees - Minimum Spanning Trees - Rooted Trees - Binary search Trees - Decision Trees - Huffman Codes - Tree Traversal - Preorder Traversal - Inorder Traversal - Postorder Traversal - Prefix, Infix and Postfix Notations.

The basic counting principles, the sample model of counting, the binomial theorem, the multinomial theorem, the distribution model of counting, partitions of groups and Stirling numbers, partitions of integers, the inclusion and exclusion principle, ordinary generating functions, exponential generating functions, homogeneous and inhomogeneous recurrence relations, The pigeon hole principle and Ramsey's numbers.

Complex numbers representation in the complex plane as well as calculate powers and roots of complex numbers- to study complex functions ( domains, continuity, differentiation)- to know Cauchy-Riemann equation, harmonic functions, a finding the harmonic conjugate- to know the sufficient and necessary conditions such that a function is holomorphic in the complex plane- the power representation of analytic functions- discrimination the singular points- use Cauchy theory to compute residues and use them to evaluate real integrals.

Rings - Group of units, group of automorphisms of a ring – Ideals and factor rings – Principal ring – Prime and maximal ideals – Field of quotient of integral domain - Characteristic of a ring – Direct sum of rings – Modules – Euclidian ring – Ring of Polynomials – Roots of polynomials over a field – Fields extensions – Finite and simple extensions of fields – Algebraic closure of a field – Splitting fields – Finite fields.

Partial Differential Equations of the first order, classification of partial differential equations, method of Lagrange partial differential equations quasi-linear, the problem of Cauchy Partial Differential Equations of second order in two variables and three variables. Regular form for hyperbolic partial differential equations, and the equivalent of elliptic. Elliptic partial differential equations: Properties of harmonic functions - Using the method of separation of variables to solve the Laplace equation with some boundary conditions, Poisson's equation, Dirichlet problem, the Newman problem with mixed conditions. Wave equations in one and two variables. Problems with initial and boundary conditions of a physical nature.

"This course aims to make the student aware of basics of Functional analysis Complete metric spaces – separable spaces. Normed spaces (Definition and elementary properties - convergence and completeness - Linear operators and functional). Banach spaces - Some examples of Banach spaces . Hilbert spaces (Inner product space and Hilbert space-Orthonormal Sets - Dual space of a Hilbert space. Some examples of Hilbert spaces - spaces (Main theorems-Inequalities).Banach algebras .Linear operators on a Hilbert spaces. "

"This course aims to develop the knowledge and skills of the student and the trends towards theory of differential geometry. The course covers the following: Curves in a plane and space –Regular curves - Tangent - Arc length - Reparametrization by arc length. Osculating plane - Normal lines and normal plane -Principal normal – Binormal . Rectifying plane –Curvature - Circle of curvature –Torsion - Frenet frame - Frenet theorem. Curvature and torsion of a curve - Involutes and evolutes of a curve – Curvature and torsion of involutes and evolutes - Cylindrical helix - Spherical indicatrix – Bertrand curves. Surface in space - Parametric equations of a surface – Tangent plane and normal to a surface – Family of surfaces. First and second fundamental quadratic forms of a surface. Normal and geodesic curvature – Lines of curvature of a surface – Geodesics – Special curves on a surface (Geodesics and asymptotic lines) Equations of Gauss and Codazzi-Mainardi. "

This practical course is designed to provide students with vocational skills and professional-recognized certifications relevant to the field of basic sciences. It aims to equip students with the necessary knowledge, skills, and practical experience to meet professional standards and enhance their employability in various sectors, including safety, quality control, Analytics Professional, and specialized technical areas.

This course provides an introduction to scientific research and paper writing for students. It covers the essentials of scientific writing and research, and integrating writing and research skills into academic projects. Students will learn how to select a suitable topic, refine it, collect data, improve reading skills, take notes, enhance critical thinking, meet deadlines, and maintain discipline. Additionally, they will gain knowledge on designing research, processing statistical data, and utilizing pre-existing mathematical programs.

The college’s training committee undertakes a mission with companies and institutions inside and outside the Kingdom - when necessary - for the purpose of following up the training program for all summer trainees. After what the student has learned about the training, it is also asked to specify the field and nature of the training to facilitate the student’s achievement of approval from the committee, which will provide him with approval for official participation. Of the information requested by the training body, and in all cases, the student must review the required specialized committee before not using the university for the training body.

This course aims to make the student aware of basics of the definition of the topological space, examples of topological spaces, examples of topological space, methods of introducing of the topology in a set of basic operations on topological spaces. Various types of subsets in topological spaces. Definition of continuous functions and homeomorphisms between topological spaces. Various types of topological spaces: separable, compact and connected.

In alignment with the mathematics program goal entitled “To promote scientific research in the field of mathematics and its applications”, the research plan, and research methodology in the mathematics department, this research project mainly focuses on preparing students to begin scientific research in the field of mathematics and enhancing their abilities to conduct research and ensure students’ acquisition of higher cognitive and self-learning skills through actual practice in object-oriented research. Also, the commitment to ethics and professional and academic standards is recognized and developed by students. Students prepare supervised projects on research topics in mathematics that the Department Council of Mathematics approves. Students can choose the supervisor and project topic from the advertised list of proposals in negotiation with academic staff. A dissertation is to be written, and an oral presentation is to be given by students on the research topic by the end of this project.

"This course offers mathematics undergraduate students an immersive learning experience focused on the practical application of mathematical concepts in various real-world contexts. Through a combination of lectures, workshops, and hands-on projects, students will explore the diverse applications of mathematics in fields such as finance, engineering, data science, and optimization. The course begins with an introduction to applied mathematics, highlighting its significance and relevance in modern society. Students will learn fundamental principles of mathematical modeling and problem-solving techniques, preparing them for the challenges of real-world applications. Throughout the course, students will delve into specific areas of applied mathematics, including financial mathematics, computational mathematics, data science, machine learning, optimization theory, and mathematical modeling in engineering. Each topic will be explored through a combination of theoretical discussions, practical exercises, and case studies, allowing students to gain both theoretical knowledge and hands-on experience. "

Science in the 21-century focuses on multiscale challenges, such as those arising from materials science, geoscience, life sciences, and social sciences, with the guidance of data-driven models, and interrogating these systems via large scale computation. However, as information technologies continue to improve, we expect to see more advances in most fields of mathematics. As a result, the content of this course is determined by department members, then approved by department council. The content of this course depends on current state to follow recent developments in a certain field of mathematics, such as recent advances in topics from real Analysis, probability theory, combinatorics, number theory and sets, logic, geometry, graph theory, integral equations, stochastic processes, functional analysis, etc.

This course aims to make the student aware of basics of the probability, the Sequences events- the joint distribution function and the conditional marginal function- the conditional of the expected value and variance- the distribution functions of the random variables- the order statistics - the Stochastic probability- the Sequences of the random variables- the proof of limit central theorem.

The basic principles of motion - the motion on a straight — line, velocity, and acceleration, the motion of variable particle mass in a straight line - have some applications. - The laws of motion: Newton's laws - Work and energy. Impulse and momentum Energy - the Principle of Conservation of Energy, and the amount of energy - particle collision. — body motion in the plane: using Cartesian coordinates and polar coordinates - circular motion - tracks Mainframe - design trip of space using the Cartesian coordinates and cylindrical. —Motion Ballistics: in the center is not resistant - the projectile's path. Moments of inertia for some simple bodies. - The study of rigid body motion in the plane of: (transitional motion and rotational motion).

Identifying and applying the eigenvalues and eigenvectors, applying linear algebra in Transmission Tomography, applying linear algebra in Emission Tomography, applying the ART and MART Algorithms. Magnetic Resonance Imaging, Intensity Modulated Radiation Therapy, Singular value decomposition.

Dynamical systems, regular and irregular behavior of nonlinear dynamical systems, existence and uniqueness theorems; linear ODEs with constant and periodic coefficients, linearization and stability analysis, Nonlinear oscillations and the method of averaging; perturbation methods; bifurcation theory and normal forms; phase plane analysis for autonomous systems, Hamiltonian dynamics, chaotic systems, Chaotic motion, Lyapunov exponents functions, Poincare maps, including horseshoe maps and the Melnikov method. Measurement

Basic concepts for optimality- Convex & concave functions- Quadratic Forms- Optimality of unconstrained nonlinear functions in one or several variables- Hessian matrix- Optimality of nonlinear functions with equality constraints- Direct substitution method- Lagrangian multipliers method- Optimality of nonlinear functions with inequality constraints – Kuhn –Tucker conditions Quadratic Programming-Beale method.

"Special Functions of the Fractional Calculus: Gamma Function. Mittag-Leffler Function. Wright Function. Fractional Derivatives and Integrals. Grünwald-Letnikov Fractional Derivatives. Riemann-Liouville Fractional Derivatives, Caputo fractional derivatives, Some Other Approaches. Geometric and Physical Interpretation of Fractional Integration1. Course Specifications-En- MTH1401 and Fractional Differentiation. Sequential Fractional Derivatives. Left and Right Fractional Derivatives. Properties of Fractional Derivatives. Laplace Transforms of Fractional Derivatives. Fourier Transforms of Fractional Derivatives. Ordinary Linear Fractional Differential Equations. Fractional Differential Equation of a General Form. Existence and Uniqueness Theorem as a Method of Solution. Dependence of a Solution on Initial Conditions. The Laplace Transform Method . Standard Fractional Differential Equations. Sequential Fractional Differential Equations. "