Math 42  Winter 2014Math 42 Winter 2014This sheet is not a complete syllabus -- instead find everything online at http://math42.stanford.edu, along with our first assignment of Daily Discussion Problems for this Tuesday's sections.HomeScheduleSection AssignmentsOffice HoursHomeworkExamsAbout This ClassMath 42 is a 5-unit second-term course in calculus with an accelerated pace -- the class covers techniquesof integration, applications of integration, differential equations, infinite sequences and series, and Taylor polynomials. Although everyoneis welcome in the course, it is aimed primarily to students who tookMath 41 last quarter (or have equivalent preparation) and will continuetaking more advanced quantitative classes which require a strong calculusbackground.There are at leasttwo other math courses which may be appropriate for students consideringMath 42, so you should be deciding in the first week or so whether Math 42is the right class for you.If you successfully took Math 41 last quarter and wish to continue studying calculus, either as background for other subjects or purely out of interest, then Math 42 should be the best class for you.However, be warned that Math 42 moves just as quickly as Math 41 but coversmore difficult material. So you can expect Math 42 to be more work thanMath 41 was, especially if you had calculus in high school and that backgroundhelped you through Math 41.If you didn't take Math 41 last quarter, you should consider taking Math 20instead.  This is especially true if you are taking math purelyout of interest or to satisfy a GER and don't plan to take Math 51 or othermore advanced classes -- even if you did well in calculus in high school.The sequence Math 19-20-21 covers the same material as Math 41-42, but at the more traditional year-long pace (ending with Math 21 in the spring quarter).The non-accelerated pace of Math 20 makesit easier for students who have been away from calculus for a while to gettheir feet under them, and the 3-unit workload may be preferable tostudents who don't plan to continue taking math courses.Completing Math 21 also gives you theappropriate background to take Math 51 if you choose to do so later.One quick heads-up to those who didn't take Math 41 and do decide to takeMath 42 this quarter: Math 41 last quarter covered a couple of topics whichare not on the Calculus AB syllabus, and which you therefore may not haveseen in high school.  In particular, we covered l'Hospital's Rule (whichwill not be discussed much in Math 42, but will come up in passing) andintegration by parts (which will be treated as a review topic at thevery beginning of Math 42).Finally, to any students who have already seen and are comfortable with most of the material in Math 42, but don't feel quite ready for Math 51: you shouldknow that Math 42 and Math 51 cover very different material, and seeing thematerial in Math 42 again will not substantially improve your preparation forMath 51.  You're probably better off