Find an op amp in your country (wherever that is) that has better frequency response and slew-rate characteristics.
Otherwise you won't be able to meet the specified required circuit operating characteristics.

Thanks, I'll have to go searching.

 

Find the TL072, it is almost as ubiquitous and cheap as the LM741, but it has 5 times the slew rate (I am quoting from memory, check the datasheet).
Additionally, as it has a JFET input, it has orders of magnitude higher input impedance, which will allow you more freedom in choosing the input values.

 

The TL072 is a dual opamp. A TL071 is the single opamp with the same pin numbers as an antique LM741.
The LM741 has slew rate problems at high levels above 9kHz. Then it cannot produce a half-decent squarewave above 900Hz.
The TL071 and most modern opamps have a slew rate that works well up to 100kHz.

The LM741 is a copy of the original UA741 that was designed 55 years ago. They have many problems and should be buried.

 

The LM741 is a copy of the original UA741 that was designed 55 years ago. They have many problems

Which makes it a good learning tool for beginners.
The frequency response, slew rate, offset, and voltage limitations are rather magnified with the 741 to make the newbie aware that they are there to some degree with all op amps.

 

I think that many old teachers never learned about newer opamps, like the old 2N2222 and 2N3055 transistors..

 

Find the TL072, it is almost as ubiquitous and cheap as the LM741

From post #1, LM741 was specified as a requirement. Teachers often use this opamp to reinforce the nature of nonideal devices.

Though in its heyday, it was the greatest thing since sliced bread.

The primary requirement is to generate square and triangle waves (varying their frequencies through potentiometers) using LM-741 IC's.

 

The LM741 is old like AM radio. It can produce a squarewave at 1kHz and lower.
No high audio frequencies.

 

Hello everyone, thank you for your help. In the end I followed your advice and changed the op-amps to TL071, since our professor approved it. I also incremented the lowest load value on the square generator section of the circuit and changed some of the capacitance values. In the end the circuit worked between frequencies around 1 kHz and 3 kHz without any major trouble. It was although necessary to add a passive high-pass filter at the triangle wave output in order to solve some DC offset problem, as well as an extra pair of inverting operational amplifiers in order to control the signals amplitude. Again, I thank you all for your responses, I certainly learnt some useful stuff designing this circuit.