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lecture1 - ex Graph the following j x j • 3-± ex Graph...

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MAC 2311 (Nonengineering), Summer 2011 Calculus and Analytic Geometry LECTURER OFFICE OFFICE HOURS PHONE E-MAIL COURSE WEBSITE TEXTBOOK STUDENT GUIDE (SYLLABUS) PREREQUISITES
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EVENING EXAMS FINAL EXAM GRADING FOR MAC 2311 DISCUSSION POINTS QUIZZES HOMEWORK ONLINE HOMEWORK LECTURE PARTICIPATION SEMESTER EXAMS FINAL TOTAL GRADE Check your grade on Sakai, https://lss.at.u±.edu/
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Lecture 1: Precalculus Algebra Preliminaries: Solving Equations ex. a) Simplify: ( x + 3) 1 3 ¡ 4( x + 3) ¡ 2 3 x x + 3 b) Solve for x : ( x + 3) 1 3 ¡ 4( x + 3) ¡ 2 3 x x + 3 = 0
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ex. Solve for x : 1) x = p 5 ¡ x 2 ¡ 1 2) 2 x + y x + 1 = 1 ¡ y
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Inequalities a < b and c > 0 ! ac < bc a < b and c < 0 ! ac > bc ex. Solve and graph the solution set: ¡ 4 2 ¡ 6 x 5 - ±
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NOTE: ab > 0 if and only if a > 0 and b > 0 or a < 0 and b < 0 ex. Find the solution set: x 2 x + 4 2
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Absolute Value Def. If a is a real number, j a j so that j a j = 8 < : a 0 a < 0 ex. Write without absolute value bars: j 5 ¡ 2 j ex. If x 6 = 0, flnd an expression for x j x j x j x j = 8 > < > : x < 0 x > 0
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Absolute Value Inequalities - ± I. j x j < a if and only if II. j x j > a if and only if ex. Solve and express your answer using intervals: 4 x + 1 3 > 5
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Cartesian Coordinate System
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Unformatted text preview: ex. Graph the following: j x j • 3-± ex. Graph the following: f ( x;y ) j j x j • 3 g 6-? ± Distance formula 6-? ± Linear Equations Consider the line containing P 1 ( x 1 ;y 1 ) and P 2 ( x 2 ;y 2 ). Slope Point-Slope Form of the equation of a line Slope-Intercept Form of the equation of a line ex. Find the equation of the line through the point ( ¡ 2 ; 3) which is perpendicular to the line 6 x ¡ 4 y = 9. Write in general form. Second-Degree Equations ex. Find the center and radius of the circle: 16 x 2 + 16 y 2 ¡ 32 x + 8 y ¡ 47 = 0 ex. Identify the quadratic equation and graph: x 2 ¡ y ¡ 4 x + 3 = 0 6-? ± Additional Examples: Try these! ex. Find the solution set: ¡ 3 < 1 x • 1 ex. Show that the line segments PQ and QR are perpendicular, where P = (0 ; 6), Q = (1 ; 1) and R = (11 ; 3) : 6-? ±...
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lecture1 - ex Graph the following j x j • 3-± ex Graph...

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