Our labs are designed to support a Calculus II curriculum that includes:
The labs are meant to take place every other week during a 50-minute long recitation. Students are expected to engage with the pre-lab, which are given both as a PDF document and as a supplementary/complementary short video prior to the recitation. The pre-lab provides the basic context for the lab exercise. During the recitation the students are expected to work in groups of 3–4 students. The labs themselves are presented as interactive programming documents using MATLAB LiveScripts. Students modify and execute the provided code, using the results of the simulations to complete a worksheet with both factual and interpretive questions.
On this page you will find short descriptions of each lab, together with PDF copies of both the pre-lab and the lab worksheets, links to the pre-lab videos, and the MATLAB LiveScript file. We recommend using MATLAB version 2018b or later to open the lab files; alternatively one can also use MATLAB Online.
Lab 7 introduces students to concepts related to applications of calculus to the analysis of parametrized curves, through the analogy with the Etch-a-sketch toy. The students then use those concepts to analyze real life data from a Corvette racing around a race-track.
Lab 1 gives a quick introduction to numerical integration. Emphasis is placed on the connection between summing and integration (including the analogy between sums and cumulative sums against definite and indefinite integration), through the defining concept of the Riemann integral.
Lab 6 addresses the question of “how does a calculator know what the value of sin(1) is?” (Replace sin by your favourite transcendental function.) One method of answering this question is to use the Taylor polynomial approximation to compute values of transcendental functions to a desired degree of accuracy.