This course provides a foundational exploration of differential and integral calculus, offering an in-depth understanding of fundamental mathematical concepts. Starting with a review of essential functions, the curriculum transitions to the pivotal concept of limits in functions. Subsequently, the course focuses on the study of derivatives, exploring their diverse applications across mathematical landscapes. Additionally, addresses the area problem and the exploration of the definite integral.

This course is a continuation of the foundational calculus concepts introduced in Calculus I, focusing on advanced techniques in integration, the study of differential equations, and applications in real-world problem-solving. The course covers methods for solving definite and indefinite integrals, applications of integration (such as areas, volumes, and physical applications), and introduces first-order differential equations and their use in modeling dynamic systems. A key component of the course is the use of computational tools, such as MATLAB, to solve complex problems and analyze systems using coordinate transformations. This course is essential for students pursuing careers in engineering, physics, and applied sciences, where calculus plays a critical role in modeling and solving problems.

This course provides a comprehensive introduction to the fundamental principles of statistics and their application in data analysis. Students will explore key concepts such as data collection, descriptive statistics, probability theories, random variables, sampling distributions, and hypothesis testing. The course also covers advanced topics like regression analysis, multiple regression, and analysis of variance. Throughout the course, students will develop skills in interpreting and analyzing statistical data, enabling them to draw meaningful conclusions and make informed decisions. By the end of the course, students will be equipped with a solid foundation in statistical methods, preparing them for practical data analysis in various fields.

This course introduces the fundamental concepts and techniques of linear algebra, emphasizing applications in engineering and computer science. Topics include matrix operations, determinants, and systems of linear equations, alongside vector spaces, eigenvalues, and orthogonality. Students will learn to apply computational tools (e.g. MATLAB) for matrix computations and visualizations. Through a blend of theory and practical exercises, this course enhances analytical thinking and problem-solving skills essential for advanced studies in engineering.

This course provides a comprehensive exploration of differential equations, covering both ordinary differential equations (ODEs) and partial differential equations (PDEs). Students will delve into fundamental concepts such as first-order ODEs, second and higher-order linear ODEs, and systems of ODEs. Additionally, the curriculum includes advanced topics like Laplace transforms, Fourier series, and selected applications in PDEs. Emphasis is placed on real-world problem-solving and engineering applications to ensure a practical understanding of the mathematical principles introduced in the course.

This course introduces the fundamental numerical methods used to solve engineering problems. Students will explore mathematical modeling, investigate roundoff and truncation errors, and apply various root-finding algorithms. The course will explore techniques for solving linear systems, such as Gauss elimination and LU factorization, alongside regression analysis, interpolation methods, and numerical integration and differentiation. Practical applications are emphasized, with hands-on experience using software tools to reinforce theoretical concepts.

The physics course introduces the basic concepts, theories and terminologies of the scientific method in the context of the science of physics. Students will reinterpret and express ideas and views of our physical world from the basic principles of physics. This course allows students to differentiate between the various multitudes of measurement, learn kinematics including translational and rotational motion together with the motion of projectiles, interpret forces and torque, and then apply Newton’s Laws to analyze objects situations. Students will be able to set up equations related to energy conservation, work and momentum conservation.

This course explores the physical concepts of electrostatics and electromagnetism. These subjects benefit the students to develop solid background of the electricity and magnetism fundamentals. Topics include electric charge and matter, electric field, Coulomb’s law, Gauss law, electric potential, capacitors and dielectrics, electromotive force and electric circuits, magnetic field, Ampere’s law, Kirchhoff’s rules, Faraday’s law of induction, and self-induction. Various lab experiments are given to emphasize the addressed topics.