Faulty coordination is when two ideas of unequal nature are linked together. An example would be similar to this:
The sky is beautiful, the sun is shining and we like the weather report.
Revised: We like the weather report because the sky is beautiful and the sun is shining.
The child had a fever when the child coughed a lot and since the mom called the doctor three times her insurance rates will probably go up.
Revised: The mom called the doctor three times about the child with a fever and a cough which will probably lead to insurance rates going up.