Making Up a Missed Dhuhr Sunnah Prayer after `Asr
Question

I pray the noon prayer on campus, but my classes start before noon and end after the afternoon prayer is performed, with not enough time between classes, so I pray the noon prayer only without the stressed practices for lack of time. If I arrive at class after the professor, I am not allowed to attend the class. Sometimes, I don't even have enough time to get to the place of prayer, so I pray in a secluded space inside the hall.

Is it permitted to pray the stressed practices when I get home following the afternoon prayers? And what should I do about stressed pre-practices?
Praise be to Allah.It is prescribed to make up the regular Sunnah prayers (As-sunan Ar-rawatib ) if they are missed because of an excuse such as sleeping, forgetting or being too busy to do them, which led to one not offering them at the proper time. 
So they may be made up even at times when prayer is not allowed , according to the correct scholarly opinion. That is because of the report narrated by Al-Bukhari (1233) and Muslim (834) from Umm Salamah (may Allah be pleased with her), according to which the Prophet (blessings and peace of Allah be upon him) prayed two Rak`ahs after `Asr; she asked him about that and he said, “Some people from `Abd Al-Qays came to me and distracted me from offering the two Rak`ahs that come after Dhuhr , so these are they.” 
And Ibn Majah (1154) narrated that Qays ibn `Amr said: The Prophet (blessings and peace of Allah be upon him) saw a man praying two Rak`ahs after Fajr. The Prophet (blessings and peace of Allah be upon him) said: “Fajr prayer twice?” The man said to him: I did not pray the two Rak`ahs that come before it, so I prayed them (now). And the Prophet (blessings and peace of Allah be upon him) did not say anything. (Classed as authentic by Al-Albani in Sahih Ibn Majah, 948) 
And At-Tirmidhi (426) narrated from `Aishah (may Allah be pleased with her) that if the Prophet (blessings and peace of Allah be upon him) did not pray four Rak`ahs before Dhuhr, he would pray them afterwards. (Classed as sound by Al-Al-Albani in Sahih At-Tirmidhi) 
An-Nawawi (may Allah have mercy on him) said: 
“The correct view in our opinion is that it is recommended to make up the regular Sunnah prayers . This is the view of Muhammad, Al-Muzani, and Ahmad according to one report. Abu Hanifah, Malik and Abu Yusuf, according to the more well-known report from them, said: "They should not be made up; our evidence is these authentic Hadiths.” (Al-Majmu`, 4/43)
Al-Mardawi Al-Hanbali (may Allah have mercy on him) said: 
“The words “and whoever misses any of these Sunnah prayers , it is prescribed for him to make them up”– this is our madhhab (the madhhab of Imam Ahmad) and is the well-known view according to our companions.” (Al-Insaf, 2/187) 
Shaykh Al-Islam Ibn Taymiyah (may Allah have mercy on him) said: 
“If one of the regular Sunnah prayers, such as the Sunnah prayer of Dhuhr, is missed, can it be made up after `Asr? There are two views, both of which were narrated from Ahmad. One of them is that it may not be made up; this is the view of Abu Hanifah and Malik. The other view is that it may be made up. This is the view of Ash-Shafi`i and it is stronger. And Allah knows best.” (Majmu` Al-Fatawa, 23/127) 
Based on the above, if you are not able to offer the regular Sunnah prayers before and after Dhuhr at the proper time, it is prescribed for you to offer them after `Asr. 
Shaykh Ibn `Uthaymin (may Allah have mercy on him) was asked: Is it permissible to delay the Sunnah prayer that is offered before Dhuhr, as we start Dhuhr prayer, then after approximately one hour we offer the Sunnah prayers that come before and after, because the time allowed for us to pray where we are studying outside the Kingdom is only enough to do Wudu’ and offer the (obligatory) prayer only? 
He replied: 
“If a person delays the Sunnah prayer that should be offered before until after the prayer , if that is because of an excuse then there is nothing wrong with him making it up later on, and it is acceptable. But if he had no excuse, then it is not acceptable. What the questioner has mentioned about the time only being enough to do Wudu’ and offer the obligatory prayer is an excuse; based on that, it is permissible to make up the Sunnah prayer that should come before after the prayer , but in this case one should start with the Sunnah that comes after the obligatory prayer, then make up the Sunnah that comes before.” (Fatawa wa Rasa’il Ibn `Uthaymin, 14/194) 
And Allah knows best.