About Co-17C: Co-17C is a support class for students currently enrolled in MAT 17C. 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 17C generally covers three main topics: multivariable calculus, systems of differential equations, and probability. See below for some practice problems and solutions on these topics.
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 17A and 17B such as derivatives and integrals and learn how to apply them to multivariable functions. You will also learn how to graph using the 3D coordinate system (x, y, z) rather than the 2D system (x, y).
Analyzing and solving systems of linear (and some nonlinear) differential equations. This unit will recall many of the skills learned near the end of 17B: finding eigenvalues/eigenvectors and working with matrices.
This unit is really, really different than the other topics learned throughout the 17 series. In this unit you'll learn how to count all possible outcomes in a scenario, such as all the possible ways to draw five spades from a standard deck of cards. Then you'll learn how to calculate the probability of certain outcomes. You'll see some familiar calculus topics pop up from time to time, but be prepared for this unit to feel like you're using a completely different part of your brain.
Paul's Online Notes: Calculus III (Multivariable Calculus)
Paul's Online Notes: Calculus II (Integral Calculus)
Paul's Online Notes: Calculus I (Differential Calculus)