The Tigers had a rough start at the beginning of the series, but improved after losing two Twenty20 Internationals and the first ODI.
The hosts turned the table on the Proteas by beating the fourth-ranked team in one-dayers in the last two matches to take the ODI series.
They also proved their might in the first three days of the Chittagong Test with a good show with the bat and ball before the rain washed out the last two days.
Bangladesh are set to face the visitors in the second and final Test of the series, which is set to begin at the Sher-e-Bangla National Cricket Stadium in Mirpur on Thursday.
Tamim at a press conference on Tuesday said they planned to give everything to win the last game.
“We played better until the game was drawn in Chittagong. If we can continue the way we played there, this will be a very good series for Bangladesh.”
But that would be very tough against the No. 1 Test team, said the Test vice-captain, adding that everyone in the team would have to give their best in every department.
‘First session holds key’
The Tigers plan to do well in the first session with the bat or the ball.
Tamim Iqbal said it would be easier to control the match if the first session went in Bangladesh’s way.
“The first session is very important for us. If we can either bat or bowl well, then we’ll just have to follow that rhythm.
“I hope we’ll be able to play a great Test match,” he said.
Tamim, one of the most experienced batsmen in the current squad, is confident of giving his team a great start with partner Imrul Kayes.
The duo did a good job dealing with the best pace attack in the world in the first Test but could not put up a big opening partnership.
Bangladesh coach Chandika Hathurusingha, before the first match, had said countering the South Africa pace attack would be the biggest challenge for his team.
Openers Tamim and Kayes though put up 46 runs together, they played 18 overs with ease in the first innings to give other batsmen the confidence to face the Proteas pacers.
They became the first Bangladeshi opening pair to have record 2,000 run beside their names in that match.
The second highest is 665, which belongs to Nafis Iqbal and Javed Omar.