Computational, artificial intelligence and machine learning systems (CAMS) are the latest trends in solving core research problems in cutting-edge industries. The prerequisite to study this chapter would require the fundamentals of Artificial Intelligence along with Mathematics stuff (Probability, Statistics, Algebra, Matrix, and Calculus). This chapter will showcase how we indulge research, innovate, and develop industrial products and solutions by means of advanced numerical methods, computational techniques, prediction, and monitoring. This chapter focuses on the trade space framework for aircraft manufacturing systems, deep neural networks for child's independent learning, data modeling in additive manufacturing, manufacturing of aerospace components through data models, a survey on the progress of artificial intelligence, a comprehensive study on the Internet of Things and biological computations. A subject Mathematical modeling like a reptile which moves anywhere else and survives at any conditions. Data modeling is an artificial intelligence reptile that applies the presence of mind to overcome CAMS. That is why we need to catch the intelligence reptile and observe its movements. This chapter provides an elegant way of designing systems for CAMSs.