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Instructor : Sivaram Ambikasaran, firstname cims. Syllabus : A first course in discrete mathematics. Sets, algorithms, induction, recurrences, combinatorics, number theory, graph theory, probability. You are also strongly encouraged to read the other recommended texts.
Given that this is the first rigorous mathematics course for most of you, it is highly unlikely that you will be able to keep pace with the material presented without reading the textbook and notes. You are strongly encouraged to attend office hours.
The most efficient way to learn this subject is to work out a lot of problems, problems, and more problems exercises and examples from the book provide a wonderful opportunity apart from homework problems. Getting a feel for definitions, theorems, etc will take time and this is where doing problems will help you to build your intuition on why things are defined in a specific way and why are certain theorems useful. Getting confused and spending sufficient time to understand a theorem is also common. Whenever you read a theorem, try to construct counterexamples by invaliding a particular assumption of the theorem.
Some concepts are genuinely challenging and hard especially since you will be learning it for the first time , but that's what makes this class entertaining and fun. There will be a total of 14 written homework. Homework will be posted on this website and will be due on Tuesday or Thursday before 6 PM. You can drop them in my mailbox at the Courant Institute or hand it in during office hours.
Late homework will not be accepted. Grader s will be expecting you to express your ideas clearly, legibly, and completely, often requiring complete English sentences rather than merely just a long string of equations or unconnected mathematical expressions.
This means you could lose points for poorly written proofs or answers.
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