About Co-16C: Co-16C is a support class for students currently enrolled in MAT 16C. In each co-class, you will review recent topics presented in your lecture and work through practice problems. Co-class is a great opportunity to get clarification on tricky topics, since it is much smaller than your lecture and you are encouraged to ask questions. To enroll in Co-Class, you can visit the AATC Math website to find the schedule and CRN. If you don't want to enroll for a workload unit, you can still be added to the Canvas page for co-class and attend as often as you wish. Email the co-class instructor to be added to Canvas without enrolling.
MAT 16C generally covers three main topics: differential equations, multivariable calculus, and sequences/series. See below for some practice problems and solutions on these topics.
A differential equation is one which involves a function, such as y, and one or more of its derivatives, such as y'. To "solve" a differential equation, you must find the function y which satisfies the differential equation and any given initial conditions. You'll learn various methods for doing this, along with some applications of differential equations.
In previous calculus courses you've mostly worked with functions of one variable, f(x). In this unit you'll learn how to work with functions of multiple variables, such as f(x,y) or f(x,y,z). You'll revisit calculus concepts learned in 16A and 16B such as derivatives and integrals and learn how to apply them to multivariable functions. You will also work with the 3D coordinate system.
A sequences is an ordered list of numbers generated by plugging in integers into a given equation. A series is a summation of the terms in a sequence. In an infinite series "converges" the sum of all the terms is a finite number; otherwise we say the series "diverges." In this chapter, you'll learn various tests to determine if a series converges.Â