Send in the Carthaginian admissions application.
Along with your application for admission to Carthage, send in a $40 non-refundable application fee. Using a credit card is the recommended payment option.
Send in all of your official transcripts, diplomas, and certificates from high school as well as from any prior universities you have attended. Transcripts must be sent straight from the institution to Carthage in English.
Send in your official PTE, IELTS, or TOEFL results. A minimum score of 78 on the iBT and 213 on the computer version of the TOEFL are needed. IELTS requires a minimum score of 6.0. PTE Academic requires a minimum score of 50. Carthage must receive scores straight from the testing organization. 

While not required, SAT-I scores are recommended for overseas students. Additional scholarship consideration is given to international students who submit their SAT-I results. The College Board website has a list of SAT-I testing locations and dates.

Send in the financial certification form. Bank representatives must certify all of the sums of money indicated on the certification of finances form. The sponsor statement must be submitted by your financial sponsor, if you have one.
If you're applying to music or music theater, you have to do an audition.