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With a passing score in Math 3 you can take either of the main calculus sequences offered at UCSC. Your major may determine which sequence is necessary, but it also may leave it up to you. If you are not sure what your major will be, you might want to take the 19 sequence, since it is sufficient for all majors (the 11 sequence is not sufficient, for instance, for Engineering majors). For those of you going on to Calculus here is some more information on the differences between the two Calculus sequences 11AB and 19AB. 11AB (Calculus with applications) is the so-called "applied" Calculus and 19AB (Calculus) is the "traditional" Calculus. The 11AB focuses more on the concepts and utilizes graphs more. You will get a better overview over what the Calculus is all about. Nonetheless you will learn all the major techniques in 11AB, just with less emphasis. In 19AB it is the other way around; the emphasis is more on technique, but you certainly are also exposed to the concepts. Generally speaking, 19AB is most useful for students in majors that utilize Calculus frequently. These are Math, Physics, Engineering and the likes. For most other students the 11AB is the appropriate course. Neither of the sequences is easier than the other, and the level of difficulty depends more on the instructors expectations than the curriculum. It is possible to switch from one sequence to the other, albeit that may not be wise. The approach is very different and it may be hard to adjust. Also, the textbooks are different and neither of them are cheap. It is up to you to decide and it's worthwhile asking sophomores or other latter generation students about their thoughts and experiences in either course.
There is also an honors calculus sequence Math 20AB. Contact me or the Math department undergraduate advisor if you want to learn more about that. Here is what's in the catalog about our math courses.
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Bäuerle, Ph.D., UC Santa Cruz.
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