Titleholders Real Madrid, last year's runners-up Atletico Madrid or Juventus await in the semi-finals but Monaco will not abandon their style according to Jardim, who could not hide his pride post-match.
The kick-off was delayed by five minutes, affecting Dortmund's concentration again.
Monaco striker Radamel Falcao stunned the Manchester City fans with an expert chip over the keeper sending City crashing out of the Champions League.More news: UC Berkeley flip-flops on Ann Coulter, proposes May date
The Dortmund player who suffered a broken wrist in the attack on the team bus, Spanish defender Marc Bartra, was in the stands and received a Monaco shirt before the start of the match.
Leonardo Jardim's young Monaco side have swept aside all before them in the Champions League this season, entertaining as they go with a brand of fearless, attacking football that the Portuguese boss said before the tie is part of their "DNA".
Mbappe netted twice in the first leg and a goal here merely enhanced the burgeoning reputation of a player who has scored 14 goals in his last 13 appearances for the Ligue 1 leaders.More news: Prince's home state marks death anniversary with celebration
After losing 3-2 at home in the first leg, the visitors had little choice but to go forward in numbers, leaving themselves vulnerable on the counter-attack.
Marco Reus has returned to first-team action and should start against Monaco with Borussia Dortmund 3-2 down from the first leg. "Our heads have to be focused on tomorrow's game, we're 90 minutes into the Champions League semi-finals but that's true for our opponents as well". We are 90 minutes away from qualifying.
An early goal would have been the one thing Thomas Tuchel wanted to avoid, but the breathtakingly talented Kylian Mbappe put the home side in front after just two minutes. "It was a hard result to turn around, although we tried until the end". I feel better on the field, the results are positive.More news: May wins Parliament vote to hold snap elections on June 8
And when Lionel Messi did get free inside the area, Barcelona's all-time leading scorer squandered both his chances to spark a fight back.
- United States considers shooting down N.Korea missile tests
- Thornton returns to lineup for Sharks in Game 3 vs. Oilers
- Kim Jong-un warns of 'super-mighty preemptive strike' against US
- Russian planes detected off Alaska 4 times this week
- Rays' Odorizzi injured, makes early exit vs. Red Sox
- Vikings get Monday night opener at home vs. Saints
- Wizards' Ian Mahinmi to miss at least Games 3, 4 at Hawks
- Trump Predicts Deadly Paris Shooting Will Have 'Big Effect' On French Election
- The Bidding War for Bond is Underway!
- Fox stock holds steady following O'Reilly firing