In the very first semester of the university starting April 2012, I was a co-facilitator for the course Advanced Math I - Single Variable Calculus (course number 10.001) with Dr. Zuruzi Abu Samah and Dr. Zaichun Chen.
Unlike any other math classes, we use progressive Active Learning classes based on cohort class setting equiped with TEAL (Technology-Enhanced Active Learning) facilities with easily-reconfigurable movable tables/chairs for all students, 6 ceiling-mounted HD projectors and interactive whiteboards on all sides of the classrooms. Classes are based on practical activities within small groups of students for enhanced engagement and peer-to-peer learning, as opposed to conventional lecturing style. This is part of SUTD's innovative learning pedagogy.
At the end of the term, students will be able to: Compute derivatives using the rules of calculus. Apply those calculations to find maxima and minima and accurate approximations in problems coming from engineering. Produce exact integrals by algebra and find approximate integrals numerically. Use integral calculus to solve for the important quantities in engineering design of continuous systems. Solve basic differential equations of growth and oscillation.
The subject will cover the following topics: Calculus for functions of one variable. Derivatives of the key functions of mathematics; e^x and solution of dy/dx=y; product rule, quotient rule, chain rule; inverse functions and logarithms; maximum-minimum problems; linear approximation and Newton's method; complex numbers and series; integration and Fundamental Theorem of Calculus; applications including area and probability and y' '= - y and basic differential equations.