Students must demonstrate sufficient knowledge and understanding of the basic results of multivariable calculus and ordinary differential equations. Lectures emphasize concrete computations over more theoretical considerations with little emphasis on exceptional cases.
In particular, students must
1. exhibit sufficient conceptual understanding and good computational fluency in standard cases;
2. be able to exploit tools from multivariable calculus and ordinary differential equations for solving problems ranging from simple to medium difficulty;
3. be able to evaluate coherence and correctness of results obtained by themselves or by others;
4. be able to communicate in a clear and precise way the topics of lectures using the appropriate scientific lexicon;
5. be able to read autonomously scientific and technical books and articles which exploit multivariable calculus and ordinary differential equations.