Transferring to Engineering is very, very competitive. The course sheet for your particular department within Engineering will state whether the listed courses are required, recommended, etc. Regardless, you will be compared to other applicants on completion of those listed courses and you are also competing on GPA. Most course sheets will state: admission preference is given to applicants with the highest GPA and the most appropriate courses completed.
Students qualifying for transfer top 10% admission under SB175 will be admitted to Texas A&M but the choice of major is
not guaranteed. You can review the details under Transfer Initiatives at
http://admissions.tamu.edu/transfer/admitted