Introduction to computer science concepts and programming fundamentals.

Algorithm design and analysis techniques for problem solving.

Fundamentals of mathematical analysis including limits, continuity, and derivatives.

Linear algebra concepts including vector spaces and matrices.

Electrostatics fundamentals including Coulomb's law and electric fields.

Classical mechanics covering kinematics, dynamics, and energy principles.

Advanced programming concepts and data structures.

Advanced calculus including integration techniques and series.

Advanced linear algebra including eigenvalues and eigenvectors.

Geometrical and physical optics principles.

DC and AC circuit analysis techniques.

Numerical computing and programming with MATLAB.

Multivariable calculus including partial derivatives and multiple integrals.

Rigid body mechanics and rotational dynamics.

Laws of thermodynamics and their applications.

Abstract algebra concepts including groups and rings.

Organic chemistry fundamentals and reaction mechanisms.

Advanced topics in analysis including complex analysis.

Wave optics including interference and diffraction.

Maxwell's equations and electromagnetic wave propagation.

Basic electronic circuits and semiconductor devices.

Introduction to quantum mechanics principles.

Properties and behavior of engineering materials.