The fundamental subjects of mechanical engineering usually include:
Statics and dynamics
Strength of materials and solid mechanics
Instrumentation and measurement
Electro technology
Electronics
Thermodynamics, heat transfer, energy conversion, and HVAC
Combustion, automotive engines, fuels
Fluid mechanics and fluid dynamics
Mechanism design (including kinematics and dynamics)
Manufacturing engineering, technology, or processes
Hydraulics and pneumatics
Mathematics - in particular, calculus, differential equations, and linear algebra.
Engineering design
Product design
Mechatronics and control theory
Material Engineering
Design engineering, Drafting, computer-aided design (CAD) (including solid modeling), and computer-aided manufacturing (CAM)
Mechanical engineers are also expected to understand and be able to apply basic concepts from chemistry, physics, engineering, civil, and electrical engineering. Most mechanical engineering programs include multiple semesters of calculus, as well as advanced mathematical concepts including differential equations, partial differential equations, linear algebra, abstract algebra, and differential geometry, among others.
In addition to the core mechanical engineering curriculum, many mechanical engineering programs offer more specialized programs and classes, such as robotics, transport and logistics, cryogenics, fuel technology, automotive engineering, biomechanics, vibration, optics and others, if a separate department does not exist for these subjects.