理论和应用力学领域为工程科学和应用数学提供了强大的背景，使学生为开展高质量的分析或实验研究以及处理各种现代工程问题做好准备。课程内容包括对刚体和可变形体的力学，应用数学和现代实验技术的广泛教育。当前的研究主题包括固体力学（制造过程的建模，定量超声和声发射技术，断裂力学，复合材料，力学人力车辆，非线性弹性），流体力学（粒状材料，强旋流），动力学和空间力学（太阳系的演化，行星环和天体的旋转，非线性力学中的动力学问题的定性分析，分叉，混乱），生物力学和生物数学（植物的呼吸作用，鱼类的游泳方式）。
The Field of Theoretical and Applied Mechanics provides a strong background in engineering science and applied mathematics, which prepares students to carry out high-quality analytical or experimental research and to handle a wide variety of modern engineering problems. Course work provides a broad education in the mechanics of rigid and deformable bodies, applied mathematics, and modern experimental techniques.Current research topics include solid mechanics (modeling of manufacturing processes, quantitative ultrasonic and acoustic emission techniques, fracture mechanics, composite materials, mechanics of human-powered vehicles, nonlinear elasticity), fluid mechanics (granular materials, strongly swirling flows), dynamics and space mechanics (evolution of the solar system, planetary rings and rotation of celestial bodies, qualitative analysis of dynamic problems in nonlinear mechanics, bifurcations, chaos), and biomechanics and biomathematics (respiration of plants, how fishes swim).