When selecting a new laptop for numerical mathematics and 3D modeling, the Dell Precision M60 is highly regarded for its superior display controller compared to the Dell Latitude series. Memory is crucial, with recommendations suggesting at least 1GB of RAM, ideally 2GB, to handle demanding tasks effectively. Building a custom computer is often suggested for better performance and cost-effectiveness, but many users prefer manufacturer specifications for reliability, especially in a work setting. Upgrading RAM from third-party suppliers like Crucial or Mushkin after purchasing a unit with minimal RAM is a common strategy to save costs while enhancing performance. Users note that while 1GB of RAM is generally sufficient for basic tasks, more memory may be necessary for intensive applications like solving partial differential equations (PDEs) and complex modeling.