The science lessons are short "omake" bonus features originally present on the first two volumes. Each short lasts around two minutes, and stars super deformed versions of Noriko, Kazumi and the Coach explaining the various scientific aspects of the series.
[Source: Wikipedia]
Noriko Takaya's dream is to become a space pilot like her father, Admiral Yuzo Takaya. He died when she was still a little girl due to an attack of alien forces in deep space. After entering Okinawa Girls Space Pilot High School, Noriko is handpicked by instructor Kouichiro Ohta as someone with great potential. She must then persuade everyone, especially herself, that she can indeed fulfill her goal and become an accomplished pilot despite being just an ordinary girl.
[Source: Anime News Network]
Nono is a clumsy waitress who dreams of becoming a space pilot. One day, she meets Lal'C Melk Mark, a member of the elite psychic pilot team "Topless". But when space monsters appear from out of nowhere to wreak havoc on Mars, Lal'C calls out her Buster Machine—codenamed "Dix-Neuf"—to subdue the threat. During a battle with a Space Monster, Lal'C gets the surprise of her life when she sees Nono use her super-strength to help Dix-Neuf destroy the alien. From that point, Nono hangs along with Lal'C in hopes of becoming a member of Topless.
[Source: Anime News Network]
This double feature comprises of Gunbuster and Die Buster (aka Gunbuster 2) condensed them into a single theatrical release told in two parts with a musical intermission in between. The first part, Gunbuster the Movie, condenses the six episodes of the original OVA into a 95-minute movie featuring a new 5.1 audio remix and a redub by the original Japanese cast. The second part, Die Buster the Movie, mixes large chunks of the second OVA series with a few altered or newly-animated scenes to create a truncated take on Nono's story.
[Source: Anime News Network]
Similar to the Gunbuster! Science Lesson these are short "omake" bonus features bundled on the Blu-ray Box Complete Edition of the Top wo Nerae 2! Diebuster.
Each short lasts around three minutes, and features super deformed versions of Nono, Lal'C Melk Mark and the Dix-Neuf explaining the various scientific aspects of the series.
