|Lecture Room:||104 Van Hise|
|Lecture Time:||13:20–14:10 MWF|
|Office:||503 Van Vleck|
|Office Hours:||Mon 2:10–3:00, Wed 11:50–12:30|
Don't forget that the final is on Wednesday May 11, 2016 at 17:05–19:05 in Ingraham 19.
The final exam covers the material of Chapters 2 and 3. There will be a definite emphasis on complex variables and complex integration. Update: The exam will consist of 5 questions, 3 of which deal with complex variables (60% of marks).
Here are some things that you should definitely know how to do for the final:
Office hours on exam week:
Ivan's review sessions on exam week:
See the official syllabus.
There is no official textbook for the class. We will follow Prof. Waleffe's lecture notes fairly closely.
Here are some textbooks you might consult for some extra exercises and background. Be warned that they may use different notation and present the material in a different order from the class.
Math 222 and 234.
Every week a few questions will be assigned, mostly from the course notes. The homework will be due on Friday in class. One or two random questions will be explictly graded, and the rest graded for completion.
The homework is posted on the webpage of Ivan Ongay Valverde, the TA for the class.
There will be two midterm exams and a cumulative final exam. The final grade will be computed according to:
|Midterm exam 1||20%|
|Midterm exam 2||20%|
The midterm exams will be given in the evening on the dates below. No notes, calculators, or anything else other than basic writing implements is allowed.
|Midterm exam 1||[solutions]|
|Midterm exam 2|
|Final exam||Wednesday May 11, 2016 at 17:05–19:05, Ingraham 19|
|1||01/20||–||Introduction; Autonomous flight (TED talk)|
|2||01/22||1–5||Review of vectors in 2D and 3D|
|3||01/25||6–10||Addition and scaling of vectors; General vector spaces|
|4||01/27||11–13||Points and coordinates|
|5||01/29||12–19||Dot product; Orthonormal bases|
|6||02/01||20–24||Dot product and norm in Rn; Cross product; Double cross product|
|7||02/03||24–30||Orientation of bases; Levi–Civita symbol|
|8||02/05||30–34||Einstein sum convention|
|9||02/08||34–37||Mixed product and determinant|
|10||02/10||39–45||Lines and planes; Change of Cartesian basis|
|11||02/12||–||Discussion of exercises|
|13||02/17||48–52||Euler angles; Gram–Schmidt procedure|
|14||02/19||57–59||Vector calculus; Motion of a particle|
|15||02/22||–||Discussion of exercises|
|16||02/24||59–62||Central force motion|
|19||03/02||70–73||Integrals along curves|
|22||03/09||80–81||Examples of surface integrals|
|24||03/14||85–87||Mappings and curvilinear coordinates|
|25||03/16||88,92||Change of variables|
|27||03/28||97–99||Div and curl; vector identities|
|28||03/30||99–102||Div, grad, curl in polar coordinates|
|29||04/01||104–110||Fundamental theorems of vector calculus|
|30||04/04||–||Discussion of exercises|
|32||04/08||110–116||Gauss' theorem with singularities|
|33||04/11||117–122||Review of complex numbers|
|34||04/13||122–136||Review of complex numbers (cont'd)|
|35||04/15||137–141||The Cauchy–Riemann equations|
|38||04/22||154–157||Laurent series and residues|
|40||04/27||161–163||Complex methods for real integrals|
|41||04/29||163–166||Complex methods for real integrals (cont'd)|
|43||05/04||–||Discussion of exercises|
|44||05/06||–||Discussion of exercises|