1. Identify the relevant heat transfer modes involved in a problem.  

2. Perform conduction heat transfer analysis analytically through one-dimensional single layer or composite wall systems, with and without volumetric thermal energy generation as well as convection and radiation heat transfer modes over the walls of the system.

3. Predict distributions of constant temperature lines and heat flow lines across complex shapes without thermal energy generation, as well as perform analytical solutions for temperature distribution for simple rectangular geometries.

4. Calculate the relevant dimensionless Biot number that plays a critical role in transient conduction analysis, and carry out analytical solutions to time-dependent conduction problems for complex shapes with low Biot numbers, and simplified shapes (1-D) with high Biot numbers.

5. Develop an understanding of the physics of convection heat transfer and important dimensionless numbers, namely the Reynolds and Prandtl numbers that play a critical role in this physics.

6. Apply Newton's law of cooling for determining the convection heat transfer over a surface and more importantly determine the convection heat transfer coefficient required by this law using the flow conditions over the surface and appropriate correlating Nusselt number relation for the given surface geometry and flow condition, both in forced flow and buoyancy driven flow situations.

7. Use the black body radiation relations in solutions of problems for which radiative heat transfer may also be important.

8. Be aware that heat transfer phenomena may be quite important in some aerospace systems along with other physical phenomena.