![]() ![]() The department offers eight specialist programs in addition to the major and minor programs. Contents range from calculus and linear algebra in the non-specialist programs to more advanced topics such as real and complex analysis, ordinary and partial differential equations, differential geometry, topology, commutative algebra, graph theory, mathematical logic, number theory, and functional analysis. Our mathematics programs are flexible, allowing students to select courses based on specialization and interest. The department counts many of Canada's leading research mathematicians among its faculty. Aside from practical considerations, mathematics can be a highly satisfying intellectual pursuit, with career opportunities in teaching and research. Knowledge of mathematics opens gateways to many different professions such as economics, finance, computing, engineering, and the natural sciences. It serves as a tool for our scientific understanding of the world. Mathematics is the study of shape, quantity, pattern and structure. Desjardins, BSc, MSc, MSc, PhD (UTM, CLTA)Īssociate Professors Emeriti, Teaching Stream What is a typical force of impact between two cars on a bumper car ride.Professor and Associate Chair (Undergraduate) How much force is required to stop a free-fall ride (DURING THE BRAKING SEGMENT?) Note: You can assume that the braking force is constant once braking begins.) How much energy is lost to friction during the drop (BEFORE BRAKING BEGINS) for a free-fall ride? What is the acceleration (deceleration) of a roller coaster train at the end of a ride? How much work is done by friction between the top and bottom of a hill on a roller coaster? How much energy is lost between the top of the lift hill and any defined point along the track of a roller coaster? What is the centripetal acceleration and/or centripetal force of a roller coaster car at the top of the first loop on the track? What is the power output of the motor that lifts a roller coaster train to the top of the lift hill? Sample Questions: You may choose from the following list of sample problems to solve, This same rubric will be used for all forms of communication. ![]() You should have a clear, detailed, plan of what you need to DO at the park before leaving, including which calculations you will need to perform to obtain the answers to your questions.Ī significant amount of research may need to be conducted in order to “get the science right” before solving your problem.Ī rubric for your presentation has been included. Pre-planning is paramount to your success in this project. ![]() The data collected may not be the most accurate, but the application of your new physics knowledge will be clearly evident." As Ms Brownell writes in the project description, "You will experience a true scientific process where you get to ask your own questions, gather data, and apply what you have learned to a real-life situation. An example project ('Determine the amount of energy that has been lost between the beginning of the first loop and just before braking begins on the Demon')ĭownload the attached pdf file for the complete curriculum. The attached pdf file has Ms. Brownell's complete curriculum that you can print out and use. ![]() Thanks to Janet Brownell, Physics/Chemistry/Engineering Teacher and STEM Club Advisor, at Waterford Unified School District, she has shared her curriculum for Physics Day at our local Great America amusement park in Santa Clara, California. While visiting an amusement park, not only will you have a fun-filled day of riding rides, but you will get to apply what you have learned about estimation, measurement, motion, forces, gravity, energy, and systems. Amusement parks provide an authentic opportunity to conduct real science and apply physics and math concepts in real-world situations. ![]()
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