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| Course 18 - Mathematics |
18.02 | 18.023 | 18.06 | 18.112 | 18.152 | 18.175 | 18.303 | 18.314 | 18.355 | 18.441 | 18.443 | 18.445 | 18.701 | 18.901 | 18.S34
| Subject | Name | Cambridge Prerequisites | Cambridge Equivalents | Prepares You for Cambridge Class | Material Not Covered That You'll Need in Cambridge |
| 18.02: Calculus | Thomas Goldring | 18.01 is the MIT prereq, which involves one variable calculus. A single A-level math should be enough. | Presumably some math dept course is vaguely similar to this course, but as an econ major nothing really springs to mind. The economists were advised to take 6 units during the year, so I had 2 spare. 18.02 was one of my "fun" classes (it turns out that 18.02 is about as much fun as, well, econometrics. But that's another story | There was very little obvious direct relevence to the economics tripos. We spent a tiny but of time of matrices (in no depth at all) but apart from that nothing was relevent to me. I don't expect to use the material in the future. I thought I would know lots of it already... but unfortunately that wasn't true. It was almost all new to me. | |
| 18.02: Calculus |
Benjamin North | A-level Further Maths | Many; for Economists, Part IIA Paper 6 (Calculus component) | For Economists, Part IIB Mathematical Economics or Financial Econometrics. | None, but I took other maths classes. |
| 18.023: Calculus with Applications |
Hussein Abbasbaiki-Varamin | None. Good grasp of calculus required. | Economics: Paper 6 (Mathematics) for Tripos IIa | Economics | None - if anything the course over-covers what is needed for economists wanting to cover the mathematics paper |
| 18.023: Calculus with Applications | Russell Haresign | None. | Maths Part IA Calculus | don't know | Learnt too much calculus for an economist rather than not enough. |
| 18.06: Linear Algebra |
Hussein Abbasbaiki-Varamin | None. | Economics: A component of Paper 6 (Mathematics) in IIa Tripos | Economics | None - a comprehensive class for the 2nd year mathematics paper in Economics |
| 18.06: Linear Algebra |
Russell Haresign | None. | Maths Part IA Linear Algebra | don't know | Had none of the applications to economics that I need. |
| 18.06: Linear Algebra | Benjamin North | None | Numerous; for economists, Part IIA Paper 6 (Linear Algebra component). For economists, Mathematical Economics or Financial Econometrics. | The course covers the topic ab initio. | |
| 18.06: Linear Algebra | Rahim Karim | A-Level Maths | Any linear algebra class | ||
Definitely Analysis I; knowledge (which I lack) of basic topology (i.e. Metric and topoligical spaces in exam term) would be helpful |
Complex Analysis, but probably harder here |
The course is packed |
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| 18.112: Functions of a Complex Variable | Analysis I; metric and topological spaces | Complex methods; complex analysis | for applied mathematics, it is very useful, the material was completely new. | ||
| 18.152: Introduction to Partial Differential Equations | Yuan Shen | You could possibly get away with high-school maths since a lot of stuff is redefined. But IA math (vector calc, diff eqns, analysis) recommeded | Methods-ie | don't know | |
| 18.152: Introduction to Partial Differential Equations | vector calculus | methods | |||
| 18.175: Theory of Probability | John Leung | lots and lots of real analysis | probability and measurements | probability and measurements | |
| 18.303: Linear Partial Differential Equations |
Maurice Blount | Maths IB Methods | |||
| 18.314: Combinatorial Analysis |
Maurice Blount | Part II Combinatorics? | |||
| 18.355: Fluid Mechanics |
Maurice Blount | Maths Part IB Fluid Dynamics | |||
| 18.441: Statistical Inference | Maurice Blount | IA Probability and Statistics | IB Statistics | Some of the more theoretical parts of the course were not covered. | |
| 18.443: Statistics for Applications |
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Some probability courses | Stats | Not a great deal of content, and not that hard. Problem sets easy-ish. Generous grader (only this semester), generous professor | |
| 18.445: Introduction to Stochastic Processes | Maurice Blount | A good standing in probability theory | Parts of Part II Markov Chains | Part II Markov chains | |
| 18.701: Algebra I |
Jacob George | None | Maths part IA Algebra and Geometry is pretty similar to the first half of this course. Combined with 18.702 is like Groups Rings and Fields | ||
| 18.701: Algebra I | algebra and geometry | Groups rings and modules | linear algebra | ||
| 18.701: Algebra I | Martin Watton | Part IA Maths Algebra and Geometry | Part IB Maths Groups, Rings and Modules | No useful material-because I am a physicist. As far as I know the algebra covered in the course will not be useful to me in Part III Physics. The first half of the course is from IA Algebra and Geometry. The second half on groups, rings and modules was new. | |
| 18.701: Algebra I | Yuan Shen | None (you will have done Algebra and Geometry--A&G--If you are a math student) | MATH: A&G + Groups, Rings and Modules | This is the first half of an Algebra course. The second half is 18.702 next semester will get deep <=> v. difficult. Latter half. Would help a little (not really necessary) if you wandered along to Groups, Rings and Modules in the 2nd term | |
| 18.901: Introduction to Topology | Maurice Blount | IA Analysis would be useful. | First Half of IB Further Analysis | ||
| 18.S34: Mathematical Problem Solving |
Maurice Blount |