Course Selection Guidebook [pdf] - College of William and Mary

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Placement in Calculus coursesCourse Selection Guidebook – Fall 2011Some students are concerned that they might be inadequately prepared for Calculus I (Math108, 111 or 131). To provide guidance to those students, the Department has posted a self-test forcalculus readiness on its website.This test may be taken anonymously at any time and immediate assessment is provided. Thistest assesses the broad range of skills needed for Math 111. Students aiming for Math 108 mayignore the part of the calculus readiness test that involves trigonometric functions. When takingthe calculus readiness test, students should not ask themselves “Have I seen this kind of problembefore?” Instead they should ask “Can I work this problem now?”Scores on the mathematics portion of the SAT test are also indicative of students’ preparationfor calculus. Our multi-year statistical studies have revealed that students with SAT mathematicsscores of 590 or less may be unprepared for Math 111 or 131: about 45 percent of students withsuch SAT mathematics scores who enrolled in Math 111 received a grade of D, F, or W(Withdrawal), and over 40% of such students received a D, F, or W in Math 108. Students withSAT mathematics scores of 590 or less should strongly consider taking Math 103 first.Beginning Calculus FormatMathematics 108 is a 4-credit course. Students may use calculators for arithmetic andvisualization but are expected to do algebra by hand.Mathematics 111 and 112 are 4-credit courses as are their life sciences analogs Math 131 and132. They will meet in lecture-discussion sections of about 35 students each for four hours eachweek. Much of the work in these two courses demands the use of a graphing calculator. Thedesignated calculator for Mathematics 111 and Mathematics 112 is the TI-83 or TI-83 Plus.Students are free to employ a TI-85 or TI-86 or a graphing calculator made by anothermanufacturer. However, required programs and advice about keying syntax for these othermachines may be unavailable from the department. In addition, the computer software packageMatlab will be used in Mathematics 112, and is available on all campus public-access computers.Math 131 and 132 (Calculus for Life Sciences students) are four credit courses that cover thesame mathematical material as Math 111-112 and are designed for students with special interest inbio-sciences. They differ from Math 111-112 in that almost all of the applications studies aretaken from the life sciences.Advanced Placement PolicyAn increasing number of students enter William & Mary with credit for beginningmathematics courses (Math 111, 112, 212). The rules for credit based on AP and IB (HigherLevel) are:AP Test Score Credit Next CourseAB = 4 or 5 Mathematics 111 (4 credits) Mathematics 112BC = 3 Mathematics 111 (4 credits) Mathematics 112BC = 4 or 5 Mathematics 111-112 (8 credits) Mathematics 211 or 212 or 21356
Course Selection Guidebook – Fall 2011IB Test Score Credit Next Course6 or 7 Mathematics 111-112 (8 credits) Mathematics 211 or 212 or 2135 Mathematics 111 (4 credits) Mathematics 112Transfer credit from other colleges and universities is handled by the Registrar.Students with a strong background in high school calculus may skip Math 111 and register forMath 112 in their first semester. An incoming student interested in skipping one (or more) of thecourses in the Math 111, 112, 212 sequence should contact the mathematics department (757-221-1873) for advising .For more information, please contact the department at (757) 221-1873.Introductory Courses103. Precalculus Mathematics. Fall (3) A study of the real number system, sets, functions, graphs,equations and systems of equations, followed by a study of the trigonometric functions and theirproperties. This course is designed only for students intending to take Mathematics 108 or 111,and whose background is deficient in algebra and trigonometry. This course may not be appliedtowards a major in mathematics nor does it satisfy the GER 1 requirement. A student may notreceive credit for this course after successfully completing a mathematics course numbered above106. Students whose SAT mathematics score is less than or equal to 590 should strongly considertaking Math 103 before attempting any calculus course.104. Mathematics of Powered Flight. (GER 1) Fall and Spring (3) This course will illustrate theuse of elementary mathematics as a crucial tool in understanding the external world. Problemsdealing with wind, runway layout, maps, navigation, tires, luggage, air pressure, and other items ofinterest will consistently invoke real data. Students will employ a variety of computing aids: aflight simulator, an FAA wind analysis program and an NOAA routing analysis program as well asthe symbolic language MAPLE. Neither physics nor mathematics beyond high school algebra isrequired. Not open to students who have successfully completed a mathematics course numberedabove 104 (except 150).106. Elementary Probability and Statistics. (GER 1) Fall and Spring (3) Introduction to basicconcepts and procedures of probability and statistics including descriptive statistics, probability,classical distributions, estimation, hypothesis testing, correlation, and regression, in the context ofpractical applications to data analysis from other disciplines. Not open to students who havesuccessfully completed a mathematics course numbered above 210. Students who receive a scoreof 4 or 5 on the AP Statistics examination may not enroll in Math 106.108. Brief Calculus with Applications. (GER 1) Fall and Spring (4). An introduction to thecalculus of rational, exponential, and logarithmic functions, including some multivariable calculus,with applications to business, social and life sciences. Algebra proficiency required. Students mayreceive credit for only one of Mathematics 108, 111, or 131, and may not receive credit forMathematics 108 after receiving credit for any mathematics course numbered higher than 108,with the exception of Mathematics 150. To use Mathematics 108 as a prerequisite for Mathematics112, students need approval of the department chair. Students with SAT mathematics scores of 590or below should take Math 103 before Math 108.57
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Course Selection Guidebook [pdf] - College of William and Mary

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