APS162

Ce module est conçu pour aider à préparer les étudiants finissants pour leur future carrière en tant qu’ingénieurs et il cible les étudiants qui sont dans leurs dernières années d'études.

L'objectif de ce module relativement court est que les étudiants atteignent une compréhension commune de la loi sur la propriété intellectuelle (PI) au Canada.

L'objectif de ce module est de fournir à tous les étudiants d'entrée de gamme avec une compréhension commune des attentes en matière de conduite académique dans le milieu universitaire.

L'objectif de ce module est de fournir à tous les étudiants de premier niveau une compréhension commune des attentes éthiques dans le milieu universitaire.

The remaining lectures in this course give us the framework for applying integration to the real world. Everything that we do here shows up time and again in engineering - Integrals as Net Change allow us to find the total of a changing value; Volumes of Rotation let us find the capacity of conduits and volumes of columns; Arclength lets us look at functions as a part of a building diagram with the knowledge that we can still figure out how much material is needed for construction.

With this unit, we learn about the Fundamental Theorem of Calculus. The great result of the field, it lets us see that integrals and derivatives are (as far as possible) inverse operations. This is a grand result and deserves our careful attention. We also cover the method of substitution, which is the most-used of the ways in which we do integrals (other than, for some people, Wolfram Alpha).

A lot of videos in this unit, but three of the four sections have very little in terms of testable material. Only L'Hopital's Rule requires a lot of practice. We are, however, setting the groundwork for some important mathematics. In these sections, we are introducing the idea of numerical methods, setting the stage for integration, and taking the first step toward Taylor series.

There is some vital stuff in this unit.  Section 4.3, on graphing functions, ties together every single topic we have looked at so far, other than word problems.  A good graphing question involves arithmetic, limits, first and second derivatives, and combinations of these, together with the actual graphing.  Section 4.4 deals with optimization and gives us the word problems that are not there in the previous section. 

There is quite a bit of material in this unit, starting with a couple of new applications of the Chain Rule and then beginning to study what derivatives actually tell us about functions. This latter part, the beginning of Chapter 4, will allow us to graph functions, optimize them (that is, find maximum and minimum points), and even set up the concept of integration.

This unit is pretty short in terms of videos to watch, but there is a lot of work to do.  Section 3.4 introduces trigonometric derivatives and the limits required to do them.  Section 3.5 begins the application of calculus to physical problems.  We include example videos showing how CIV 100 questions can be combined with derivatives to create interesting results.  Do make sure to get plenty of practice with the exercises in 3.5.