Listed according to general order of learning.
Sometimes there are concepts that overlap between subjects.
1st
Chemistry
Concerned with the composition, structure, and properties of matter and the changes that matter undergoes. Anaylsis of molecules and compounds.
Physics
Exploration of basic physical laws. Much of what is learned in physics is seen in statics
Single Variable Calculus
Movement of bodies of systems.
2nd
Multivariable Calculus
Movement of bodies of systems.
Statics
Analysis of bodies at rest.
Electronic Circuits
Basic laws of electronics.
3rd
Dynamics
Analysis of bodies in motion.
Mechanics of Materials
Primary focus is stress and strain.
Modeling and Analysis of Dynamic Systems
Modeling equations for engineered systems.
Thermodynamics
Relating volume, pressure, and temperature of systems.
Fluid Mechanics
Analysis of fluids. The science that deals with the behavior of fluids at rest (fluid statics) or in motion (fluid dynamics), and the interaction of fluids with solids or other fluids at the boundaries. Fluid mechanics is also referred to as fluid dynamics by considering fluids at rest as a special case of motion with zero velocity.
Kinematics
The study of the geometry of motion. Kinematics is used to relate displacement, velocity, acceleration, and time, without reference to the cause of the motion. Looks at systems of levers, degrees of freedom. Examination of motion without reference to force or mass.
Trigonometry
Looks at trigonometric functions and their manipulations, involving sin, cos, tan, which are related to the triangle.
Linear Algebra
Also, linear algebra. Involves use of vectors, linear transformations, systems of linear equations.
Control Systems
Analysis and design of feedback systems.
4th
Heat Transfer
Based off the foundation of conduction, convection and radiation, uses principles from thermodynamics and fluid dynamics. Heat transfer (or heat) is thermal energy in transit due to a spatial temperature difference. Whenever there exists a temperature difference in a medium or between media, heat transfer must occur.
Machine Design
Detailed analysis and criteria in design. Looks at actual mechanical components such as drive shafts, gears, brakes, etc.
Fatigue
The study of processes which cause premature failure or damage to a component subjected to repeated loading.