More formal:
* Technology: This is the most common and widely understood synonym.
* Engineering: While not all applied science is engineering, many fields fall under this umbrella.
* Practical science: This emphasizes the focus on real-world applications.
More specific:
* Industrial science: Focuses on applications in manufacturing and industry.
* Biotechnology: Applies biological principles to create practical solutions.
* Agricultural science: Applies scientific principles to improve agricultural practices.
Informal:
* Real-world science: Emphasizes the practical nature of the work.
* Science in action: Highlights the application of scientific knowledge.
The best term to use depends on the specific field of applied science you are referring to.