Class 8 Math Guide Book Download [PATCHED]

This site is for incoming first-year, transfer, and Eli-Whitney undergraduates, as well as for all other students who are looking for advice about their first math courses at Yale. We look forward to working with you!

If you are thinking about the math major or would like to learn more about the department, we encourage you to sign up for our Math DUS mailing list, take a look at our Math community page or explore other tabs on the left that interest you.

Class 8 Math Guide Book Download

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A makeup placement advising session, for all students who need assistance with their calculus placement, will take place on Sunday, August 27, 2:20 - 4pm, in person. It will be at 17 Hillhouse Avenue, room 101 (the TEAL classroom).

6. The academic fair will take place on August 28, 12:30 - 2pm ET. The Fair is a great place to ask questions about the mathematics major, courses at the 200 level or higher, mathematics community, etc. (Please note that advisers at the Fair cannot help with calculus placement - for placement advice at the 100 level, please attend one of the sessions listed above.)

Math 115 investigates the mathematics of accumulation. With integral calculus, we use information about instantaneous rates (like the velocity of a moving object) to compute net changes (like change in position). Series convergence tests and Taylor series help us understand how calculators work, and various other topics (solids of revolution, parametric equations, polar coordinates) allow us to apply the tools of single variable calculus in broader contexts. Throughout the semester, we consider both exact and approximate solutions to problems and investigate the role of error.

Math 225 is a linear algebra course, and a part of our introductory sequence into the math major. In linear algebra, you will learn key language and concepts used throughout pure mathematics as well as in a wide variety of applications. Linear algebra starts by studying systems of equations with many variables, and it builds a detailed understanding of how to work in abstract n-dimensional space. This version of linear algebra focuses on concepts, and provides an introduction to writing mathematical proofs.

We also offer an intensive version of this course, Math 226, for students who are looking for an extra challenge. Math 226 will teach the same main topics as Math 225, but it may go into more depth, ask more challenging problems on homework and exams, or cover optional side topics. Both courses prepare students equally well for subsequent mathematics courses, or for using proofs, problem solving skills, and linear algebra in other fields.

Math 222 is a linear algebra course best suited for students who wish to focus on applications and practical solving problem practice, rather than abstract mathematics and mathematical proofs. It is often taken by students majoring in engineering, technology, science, social sciences, and economics. Mathematics majors, as well as students majoring in Math + CPSC or Math + Econ, need to complete Math 225 or 226, rather than 222.

Math 222, 225, and 226 do not require the placement exam or preference selection, you can simply sign up for them when registration opens. They can be taken directly after integral calculus, though most students complete multivariable calculus first. For advice about whether linear algebra may be the best place for you to start, please see the section below on choosing your first math course(s) at Yale (particularly if you have not yet taken multivariable calculus, and it may be required by your prospective major or other courses you plan to take).

We also offer an intensive version of this course, Math 256, for students who are looking for an extra challenge. Math 256 will teach the same main topics as Math 255, but it may go into more depth, ask more challenging problems on homework and exams, or cover some optional side topics. Both courses prepare student equally well for subsequent math courses, or for using real analysis in other fields.

Math 255 and 256 do not use the placement exam or preference selection. It requires Math 225 or 226. If you have taken a proof-based linear algebra course elsewhere, and are considering Math 255 or 256 as your first math course, please contact the Math DUS at math.dus@yale.edu to assist you with placement, as well as with requirements of your potential major (if it requires linear algebra). For more information, see section on choosing your first math course(s) below.

This course is an introduction to manifolds, which are low-dimensional shapes living in a higher dimensional universe (e.g., a one-dimensional coat hanger or a two-dimensional eggshell each living in a three-dimensional world), and it teaches how to do calculus in this abstract setting. Although the focus of this course will be on abstract mathematical objects and their properties, the material in this course also has applications to a broad range of topics including theoretical physics and machine learning.

Many students who have not completed multivariable calculus in high school would benefit from taking Math 120. However, prospective math majors, and students excited about rigorous proof-based math should consider taking Math 225/226, Math 255/256 and Math 302 instead. Math 302 is also appropriate for students who have already completed Math 120 and are curious to learn multivariable analysis rigorously.

Math 302 does not use the placement exam or preference selection. It requires both proof-based linear algebra, and real analysis (Math 225 and 255). If you have taken similar courses elsewhere and wish to start at Yale with Math 302, please be sure to contact the Math DUS during the summer before your first year, at math.dus@yale.edu , so we can help you as far as course placement as well as requirements of your potential major. For more information, please see the section on choosing your first math course(s) below.

Math 118 teaches a combination of multivariable calculus and linear algebra. It is suited for students majoring in Economics or Social sciences who wish to learn the most relevant mathematics in one semester. Students intending to take further courses in mathematics, or wishing to go to graduate school in their field, should consider multivariable calculus (Math 120) and linear algebra (Math 222, 225, or 226) instead.

In Math 107 (Mathematics in the real world), students use mathematical ideas to solve real world problems. Topics include compound interest, population growth, probability and its applications to games of chance, mortgage payments, false positives in drug testing, computer security, and other questions.

Math 108 (Estimation and error) leads students through a problem-based investigation of basic mathematical principles and techniques that help make sense of the world. Applications include geology, ecology, finance, and other fields.

Prospective mathematics majors and students with interest in abstract mathematics may consider enrolling in Math 225 (or 226) directly after integral calculus (e.g. Math 115 or AP Caclulus BC), and completing their vector analysis/multivariable calculus requirement with Math 302.

Click items below to see our recommendations; they are sorted by the major(s) you are considering, and each describes some options, depending on the math courses you have completed so far (whether at the level of pre-calculus, calculus, or more advanced courses such as linear algebra).

Most students with integral calculus background will start with Math 120, to finish the calculus sequence, and gain more experience with mathematics before enrolling in proof-based courses. This choice is recommended particularly if you may need multivariable calculus for another major you are considering, or if it is needed for other courses you might like to take soon (such as in physics or economics). After Math 120, you would move to Math 225 or 226, and Math 255 or 256, which would complete your introductory sequence requirement.

(You will not need to have your multivariable calculus course evaluated by the math department, since it would not change the requirements in any way: all students have the option of satisfying the multivariable requirement with Math 302, whether or not they have already completed a course equivalent to Math 120.)

First, we need to determine whether your linear algebra course was a theoretical, fully proof-based course intended for mathematics majors, or not. Most linear algebra courses are not, and chances are that you will still need to enroll in Math 225 or 226.

If you are not sure whether your linear algebra was proof-based or not, send a syllabus and either an exam or a problem set (the questions, not the solutions) to math.dus@yale.edu; we will be happy to take a look and advise you.

To evaluate the course, we will need a copy of the syllabus or another document with a detailed list of topics taught, a copy of your transcript (unofficial is fine), and a final exam for the course. If the instructor wishes to keep the test confidential, it can be sent directly to math.dus@yale.edu .

If you know proof-based linear algebra but have not taken officially taken a course in it, or if your course is not evaluated as equivalent to Math 225, you can try placing out of Math 225 by taking an exam during the summer before your first semester at Yale. Please reach out to math.dus@yale.edu before mid-August, and we will help you with the arrangements.

The exam takes place at the end of August, after everyone is on campus, usually the Tuesday before classes start. It is around 90 minutes long, and it is focused on proof writing, and the theoretical side of linear algebra (same way as Math 225).

If you have completed a multivariable calculus course equivalent to Math 120, then please reach out to the math DUS during the summer before your first year, at math.dus@yale.edu . Yale does not permit students to get credit for courses taken during high school, but we can evaluate the course you have taken, and if it seems reasonably equivalent to Math 120, we will give you permission to substitute a higher level course in the same area for Math 120. We will also help you determine the best math course to start with. In most cases, this will be Math 225 or 226; but it could be a higher level course, if you have completed linear algebra already. 006ab0faaa