Aug 28, 2012 - includes the study of limits, differentiation and integration of algebraic. MAC 1140 Precalculus and MAC 1114 Trigonometry or MAC 2147 Precalculus. The manual contains solutions to selected problems from the exercise.

Topical Outline with Specific Course Objectives • Review of Functions • Recognize algebraic and transcendental functions in various forms. • Understand and use function notation in tabular, graphic, algebraic, and applied settings. • Understand the relationship between inverse functions. • Limits and Continuity • Find limits algebraically, graphically, and numerically. • Identify and find indeterminate limits, when they exist, using appropriate tools, e.g. L'Hopital's Rule.

To see the size of a specific file or folder, click it once and then press Command-I. To see storage information about your Mac, click the Apple menu in the top-left of your screen. Choose About This Mac and click the Storage tab. For Time Machine backups, it's good to use a drive that has at least twice the storage capacity of your Mac. Connect an external hard drive to your Mac. You'll need a drive that is at least the same size as your Mac's internal drive. With storage quite cheap these days, aim to use a drive that's two to four times the size of the drive you're backing up. How to setup a backup server. A few minutes for initial Time Machine setup; Ample time for Time Machine to run it’s first backup of the entire Mac; You’ll want to be sure the external hard drive in use for Time Machine backups is at least the same size as the internal hard drive on the Mac, but preferably much larger. When you connect an external drive directly to your Mac, you might be asked if you want to use the drive to back up with Time Machine. Select Encrypt Backup Disk (recommended), then click Use as Backup Disk. An encrypted backup is accessible only to users with the password. Learn more about keeping your backup disk secure.

• Use limits to describe asymptotic behavior. • Determine the continuity of functions algebraically and graphically. • Test the hypothesis and, where appropriate, apply the conclusion of the Intermediate Value Theorem for a function on a given interval. • The Derivative • Define, discuss, and interpret the concept of the derivative algebraically, verbally, numerically, and graphically. • Find the derivative of a function using differentiation rules. • Apply the theorem relating the derivatives of inverse functions.

• Identify the major characteristics of graphs and relate them to first and second derivatives. • Find the differential of a function and use it to find a tangent line approximation to the function. • Apply Newton's method to solve equations. • Model related rates, optimization, and motion problems using the language of calculus.

Find and discuss solutions. • Apply approximating techniques for derivatives. • Test the hypothesis and, where appropriate, apply the conclusion of the Mean Value Theorem for a function on a given interval.

• The Integral • Demonstrate an understanding of the concept of the definite integral and describe the difference between the definite and indefinite integral. • Find the indefinite integral of a function using antidifferentiation rules. • Find and interpret the definite integral numerically, algebraically, and graphically. • State and apply the Fundamental Theorem of Calculus.

• Use definite integrals to find areas. • Apply integrals to functions describing rectilinear motion, displacement, and distance traveled. • Apply approximating techniques for integrals. Department Policies • Graphing Calculator not allowed on proctored tests or final exam • Comprehensive Final.