18.098/6.099. Street-fighting mathematics

Homepage for an MIT IAP mathematics course (2009), crosslisted as 6.099. Course description:

The art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Application to mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations. (No epsilons or deltas are harmed by taking this course.)
Please fill out an online course evaluation (available starting Saturday 12:01am). It will help me improve the course for next year. Thank you! If you are not on the official registration list but would like to fill out an evaluation (e.g. you're an unofficial listener, which is fine), let me know and I'll have you added to the magic list.
Lectures MWF 11-12, Room 4-231  (Jan 5, 7, 9, 12, 14, 16, 21, 23, 26, 38, 30)
Instructor Sanjoy Mahajan, Room 5-122, x3-0602, sanjoy@mit.edu.
Enrollment limit57 but listeners are welcome space permitting.
Prerequisites18.01 (introduction to calculus) or equivalent.
Handouts Syllabus  | Reading memos
Homework HW 1 (due Mon Jan 12)  | HW 2 (due Wed Jan 21)  | HW 3 (due Wed Jan 28)
Solutions HW 1  | HW 2  | HW 3
Tentative Schedule
1 Jan 05 (M)Dimensions
2 Jan 07 (W) Easy cases  | Q and A
3 Jan 09 (F) Finish pyramid volume; Drag  | Q and A
4 Jan 12 (M) Boundary layers (no notes written yet)
5 Jan 14 (W) Discretization
6 Jan 16 (F)Discretization application: Pendulum
7 Jan 21 (W)Picture proofs
8 Jan 23 (F)Taking out the big part
9 Jan 26 (M)Analogy
10Jan 28 (W)Operators
11Jan 30 (F)Application: Tangent roots
Interesting books Div, Grad, Curl, and All That: An Informal Text on Vector Calculus by H. M. Schey.