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# Topics In Mathematics For Undergraduates MA 29000

Purdue

GPA 3.97

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This 7 page Class Notes was uploaded by Dorothea Bode on Saturday September 19, 2015. The Class Notes belongs to MA 29000 at Purdue University taught by Richard Eden in Fall. Since its upload, it has received 125 views. For similar materials see /class/208113/ma-29000-purdue-university in Mathematics (M) at Purdue University.

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Date Created: 09/19/15

LESSON 1 Ma 231 Section 5 Richard Eden 24 August 2009 Monday Introduction H MA 23100 MA 29000 Sections 1 and 2 last Spring 2009 MA 231 Webpages a Of cial http wwwmath purdue eduma231 b Eden httpwwwmathpurdueedu redenma231fa1109 F 9 Course Coordinator and your instructor a Course Coordinator Richard Eden reden mathpurdueedu MATH 709 b Of ce Hour as Coordinator Mondays and Fridays 130 230 pm c Instructor Richard Eden reden mathpurdueedu MATH 709 d Of ce Hour for MA 231 Wednesdays 130 230 pm For other MA 231 instruc tors see the of cial webpage 4 Assignment Sheet and Course Information a Print it yourself Go to the Of cial MA 231 webpage b Text Calculator Homeworks Quizzes Exams refer to Course Information sheet 9 Course Grade and Exams Three Midterm Exams 300 Homework 50 Quizzes 50 Final Exam 200 TOTAL 600 a Grades A A B B B C C C D D D F no A no F b Exams 1 and 3 will be written by your instructor and administered in class Exam 2 and the Final Exam will be written by the Course Coordinator and administered outside class for all students to take at the same time c Letter grade estimates A B C D for the three Midterm Exams will also be given to give you an idea of your performance Note that these letter grades are advisory only and will not be used in determining your nal grade 6 Quizzes a There will be at least one quiz each week except the last week of classes b One quiz will be dropped at the end of the semester 7 Homework a Homework will be collected every class except on the day of an exam and after an exam b Two homeworks will be dropped at the end of the semester Lesson 1 MA 231 R Eden Fall 09 Page 1 of 4 c Each homework will be graded based on completion on a scale of 3 points I will be the judge if suf cient work has been shown In general7 simply writing down the answer will not count for suf cient work 8 Missed Work a No make up quizzes will be given The instructor however can excuse quizzes7 with proper documentation No late homework will be accepted except for extenuating circumstances If you know in advance you wont be able to go to class7 you should make arrangements for you to be able to turn in the homework on or before the deadline The instructor decides whether or not to allow a student to take an alternate exam If the student has a good reason ie has proper documentation7 there will be no penalty If there is no good reason and a student is allowed to take an alternate7 there will be a penalty of 20 points When you know beforehand that you7ll miss an exam7 or you already missed it7 ask the instructor what steps need to be taken to schedule an alternate exam A C7 V A O V Academic Adjustments refer to Course Information sheet Section Changes and Drops refer to Course Information sheet Cheating Don7t behave in a manner that can be construed as cheating For in class quizzes7 you can only borrow somebody else7s calculator if that student is done and in this case7 the calculator should rst pass through the instructor The instructor will not check quizzes of students who dont follow this rule HH HOG Section 11 Slope and Linear Functions A linear function is given by ymzb or fzmzb The constant m is called the slope lts graph is a straight line with y intercept 07b Example 1 Graph Find the slope and y intercept 1y72z3 2 3zi3y60 Lesson 1 MA 231 R Eden7 Fall 09 Page 2 of 4 If a line has slope m and it passes through shyl then y 7 yl mz 7 x1 is called the pointslope equation of the line Example 2 Find an equation of the line with slope m 737 containing 57 72 Computing Slope The slope of the line containing the points zhyl and 27y2 is i yg 7 yl i change in y 7 2 7 1 7 change in f Example 3 Find the slope of the line containing the given pair of points 1 747 72 and 721 2 73 and 75 Section 12 Polynomial Functions A quadratic function is given by fx azz bx 0 where a 31 0 Its graph is called a parabola7 turning at a point called its vertex whose rst coordinate is z 727 The parabola opens up if a gt 07 and opens down if a lt 0 a Lesson 1 MA 231 R Eden7 Fall 09 Page 3 of 4 Example 4 Graph y x2 7 6x 5 The Quadratic Formula The solutions of any quadratic equation ax2bc 0 a 31 0 are given by 7b i x b2 7 4ac T39 Example 5 Solve 1x272z8 2 2274x730 Reminders Homework for Lesson 1 due in Class this Wednesday Lesson 1 MA 231 R Eden7 Fall 09 Page 4 of 4 LESSON 34 Ma 290 4 and 6 Richard Eden 8 April 2009 Wednesday Section 62 Solving Systems of Linear Equations continuation y 32 2 We can solve the system of equations z y 62 0 by transforming its aug z 22 4 merited matrix to row echelon form 0 1 3 2 1 1 6 0 1 1 6 0 7 0 1 4 74 1 0 2 4 0 0 1 76 We can avoid the back substitution by performing a few more row operations transform ing the augmented matrix to reduced rowechelon form it is in row echelon form and furthermore all entries above a leading 1 are 0 The method of solving a system of linear equations this way is called GaussJordan elimination Solve using Gauss Jordan elimination Example 1 3x 7 2y 22 9 z 7 2y z 2x 7 y 7 22 71 Lesson 34 MA 290 R Eden Spring 09 Page 1 of 3 Example 2 z 2y 2 1 2x 5y 2 z By 22 6 00 Example 3 5x 7 6y z 7 4 2x 7 3y z 1 4x 7 3y 7 z i 5 Lesson 34 MA 290 R Eden7 Spring 09 Page 2 of 3 12 25 08 08 hatChling population is 240 and the adult population is 124 Find the population of both groups in year 1 Example 4 The Leslie matrix for a bird population is G ln year 27 the Reminders Homework for Lesson 34 due in Class this Friday Quiz on Friday over Lesson 34 EXAM 3 on Monday next week Lesson 34 MA 290 R Eden7 Spring 09 Page 3 of 3

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