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Integration formulas y D A B x C= + −sin ( ) A is amplitude B is the affect on the period (stretch or shrink) C is vertical shift (left/right) and D is horizontal shift (up/down) Calculus 221 In this chapter we will review material from high school mathematics. We also teach some of this material at UW in Math 112, Math 113, and Math 114, and some of it will be reviewed again as we need it. This material should be familiar to you. If it is not, you may not be ready for calculus. Pay special attention to the definitions. Vector Calculus lecture notes Thomas Baird December 13, 2010 Contents 5 Calculus of Vector Fields 70 the formula jpqj= p (x 1 x 2)2 + (y 1 y 2)2 + (z 1 z 2)2 This quantity corresponds to the usual geometric notion of length of the line segment jpqjby the following argument. Differential calculus is about describing in a precise fashion the ways in which related quantities change. To proceed with this booklet you will need to be familiar with the concept of the slope (also called the gradient) of a straight line. You may need to revise this concept before continuing. 1.1 An example of a rate of change: velocity Calculus. This is the free digital calculus text by David R. Guichard and others. It was submitted to the Free Digital Textbook Initiative in California and will remain unchanged for at least two years. The book is in use at Whitman College and is occasionally updated to correct errors and add new material. The latest versions may be found by STUDY GUIDE TO CALCULUS This Student Study Guide accompanies the textbook Calculus by Gilbert Strang. It is correlated section by section with the essential points of the text. The Guide contains four components which experience has shown are most helpful: 1. Model problems with comments and complete solutions. 2.