What tools do students need to help them apply the content they learn in multivariable calculus to integration in electrostatics and partial derivatives in thermodynamics? I will discuss the skills that students are lacking, and will present classroom experiences that give students the opportunity to develop these skills. The activities introduced will include computational activities, integrated experiments, and small group activities. The computational activities were developed as part of a new computational physics laboratory course that addresses both student learning of physics in the Paradigms and the development of valuable programming skills. The other experiences were developed as part of the Energy and Entropy Paradigm, and a new "mathematical interlude," which teaches students important partial derivative relations for thermodynamics prior to the Energy and Entropy course.