© | Dror Bar-Natan: Academic Pensieve: Blackboard Shots: 15-475:
150310-171912: Ramsey's theorem (2).
 15-475-{ 150420-143416: Feb 24 Problem 1. 150331-190552: March 26 Handout Problem 4 (2). 150331-190541: March 26 Handout Problem 4. 150331-190533: March 26 Handout Problem 6. 150331-190523: March 26 Handout Problem 1 (3). 150331-190514: March 26 Handout Problem 1 (2). 150331-190508: March 26 Handout Problem 1. 150326-171644: March 26 Handout hints (4). 150326-171640: March 26 Handout hints (3). 150326-171634: March 26 Handout hints (2). 150326-171630: March 26 Handout hints. 150326-171623: Quiz 10 problem 3 (2). 150326-171618: Quiz 10 problem 3. 150324-163110: March 19 handout, Problem 5 solution by Bill. 150324-163108: Row and column reduction over the integers (2). 150324-163107: Row and column reduction over the integers. 150324-163105: Can you swap two memory cells without using a third? (2) 150324-163103: Can you swap two memory cells without using a third? 150319-163345: Infinitely many prisoners on an island... 150319-163341: March 19 Problem 2 (2). 150319-163336: March 19 Problem 2. 150319-163333: March 19 Problem 3. 150319-163328: March 19 Problem 4. 150319-163323: Cheating women in a village. 150319-163319: Left-right-left-right and in-out-in-out. 150317-163316: Packing 125 $4\times2\times1$ boxes in a $10\times10\times10$ cube. 150317-163315: A classic first-year algebra problem. 150317-163314: Quiz 9 Problems 1 and 3. 150312-213623: March 12 Problem 0: The density of $n\alpha$ (2). 150312-213619: March 12 Problem 0: The density of $n\alpha$. 150312-213614: March 12 Problem 4: Symmetric Latin squares. 150312-213610: March 12 Problem 7: $(\sigma_1-1)(\sigma_2-2)\cdots(\sigma_n-n)$. 150312-213608: March 12 Problem 10: Harmonic sums are never integers. 150312-213604: Samer earns $5! (2) 150312-213602: Samer earns$5! 150312-213558: March 12 Problem 9: The $x+y$ trailer problem. 150312-213556: March 12 Problem 2: On chessboards. 150312-213551: March 12 Problem 5: Prisoners in a row. 150310-171912: Ramsey's theorem (2). 150310-171911: Ramsey's theorem. 150310-171909: Quiz 8 Problem 1. 150310-171908: Back to bread-slicing. 150305-182559: Ramsey theory (5). 150305-182555: Ramsey theory (4). 150305-182550: Ramsey theory (3). 150305-182547: Ramsey theory (2). 150305-182543: Ramsey theory. 150305-182540: Larson's 1.9.1, $ax^2+bx+c=0$ with odd $a,b,c$ (2). 150305-182536: Larson's 1.9.1, $ax^2+bx+c=0$ with odd $a,b,c$. 150305-182531: Tug of War (2). 150305-182528: Tug of War. 150305-182523: There are irrational $a$, $b$ s.t. $a^b$ is rational. 150305-182519: $\sqrt[n]{2}$ is irrational. 150303-173807: Quiz 7 Problem 1, after-class discussion. 150303-173806: Quiz 7 Problem 1 continued. 150303-173805: Quiz 7 Problem 2 and Problem 1. 150303-173804: Quiz 7 Problem 2. 150226-165649: Pigeonhole: Larson's problem 2.6.10. 150226-165648: Pigeonhole: Larson's problem 2.6.1 (2). 150226-165647: Pigeonhole: Larson's problem 2.6.1. 150226-165646: The scissors jack problem (2). 150226-165644: The scissors jack problem. 150226-165643: Rook arrangements (3). 150226-165642: Rook arrangements (2). 150226-165641: Rook arrangements. 150226-165640: A problem related to the isoperimetric inequality. 150224-180040: Quiz 6 discussion (3). 150224-180039: Quiz 6 discussion (2). 150224-180037: Quiz 6 discussion. 150212-170501: $F(x)F(y)-F(xy)=x+y$. 150212-170459: The fundamental domain of $GG$. 150212-170458: The viewing angle of a chord (3). 150212-170456: The viewing angle of a chord (2). 150212-170454: The viewing angle of a chord. 150212-170453: The fundamental domain of $0$. 150212-170451: The isoperimetric inequallity (2). 150212-170449: The isoperimetric inequallity. 150212-170448: Quiz 5 Problem 3. 150212-170446: Quiz 5 Problem 2. 150212-170445: Quiz 5 Problem 1. 150210-161918: Cubics, areas, and symmetry groups of the plane. 150210-161917: Colouring the points of the plane. 150210-161916: Menu and $50 bounty! 150205-171728: Handout problems 6 and 7. 150205-171727: Legos on a disk. 150205-171726: The Kauffman bracket (5). 150205-171725: The Kauffman bracket (4). 150205-171724: The Kauffman bracket (3). 150205-171723: The Kauffman bracket (2). 150205-171722: The Kauffman bracket. 150205-171720: Folding and the perimeter. 150205-171719: Diagonals in a dodecadon (2). 150205-171718: Diagonals in a dodecadon. 150203-162705: Quiz 4 Problem 1: Snow plowing. 150203-162704: Quiz 4 Problem 2: Primes and squares mod 8 (2). 150203-162703: Quiz 4 Problem 2: Primes and squares mod 8. 150129-174022: Larson's 1.5.3. 150129-174021: Poles, guys, Ohm's law. 150129-174019:$a_{n+1}=\sqrt{\frac{1+a_n}{2}}$(2). 150129-174018:$a_{n+1}=\sqrt{\frac{1+a_n}{2}}$. 150129-174017: Volumes of spheres (2). 150129-174016: Volumes of spheres. 150129-174015: Computing$\int e^{-x^2}dx$(3). 150129-174014: Computing$\int e^{-x^2}dx$(2). 150129-174012: Computing$\int e^{-x^2}dx$. 150127-163620:$x^2+y^2+z^2=2xyz$. 150127-163619: Solution of Quiz 3. 150127-163618: The Chinese Rings. 150122-171513: Ian earns$5. 150122-171512: The Sicherman dice (3). 150122-171511: The Sicherman dice (2). 150122-171510: The Sicherman dice. 150122-171509: Larson's 1.3.3 (2). 150122-171507: Larson's 1.3.3. 150122-171506: Solving $x^4+x^3+x^2+x+1=0$ (2). 150122-171505: Solving $x^4+x^3+x^2+x+1=0$. 150122-171504: Generating functions and the Fibonnaci numbers. 150122-171503: Integrating $\frac{1}{1-x^2}$. 150120-170151: The game of 15 (2). 150120-170150: The game of 15. 150120-170149: Quiz 2 solutions. 150120-170148: Admin. 150115-181440: Economic growth seen slowing (3). 150115-181439: Economic growth seen slowing (2). 150115-181438: Economic growth seen slowing. 150115-181437: Hieroglyphics. 150115-181436: $\lfloor\frac{a}{b}\rfloor+\lfloor\frac{2a}{b}\rfloor+\cdots+\lfloor\frac{(b-1)a}{b}\rfloor=\frac{(a-1)(b-1)}{2}$ (2). 150115-181435: $\lfloor\frac{a}{b}\rfloor+\lfloor\frac{2a}{b}\rfloor+\cdots+\lfloor\frac{(b-1)a}{b}\rfloor=\frac{(a-1)(b-1)}{2}$. 150115-181434: The Othello problem. 150115-181432: Two poles and a bird (2). 150115-181431: Two poles and a bird. 150115-181430: $\sum_{k=0}^n\binom{n}{k}^2 = \binom{2n}{n}$ (2). 150115-181429: $\sum_{k=0}^n\binom{n}{k}^2 = \binom{2n}{n}$. 150115-181428: A spherical loaf of bread (3)... 150115-181426: A spherical loaf of bread (2)... 150115-181425: A spherical loaf of bread... 150115-181423: Four cars in the Sahara desert (2). 150115-181422: Four cars in the Sahara desert. 150113-161950: Ants along a hoop. 150113-161949: The inequality of the means (2). 150113-161947: The inequality of the means. 150113-161946: Young's inequality, 1. 150113-161945: Young's inequality, 2. 150108-172839: A funny system of algebraic rules. 150108-172838: Quandles. 150108-172837: Given a sum of integers, maximize their product (2). 150108-172836: Given a sum of integers, maximize their product. 150108-172834: Next quiz. 150108-172833: $S_{n,0}$ using roots of unity (2). 150108-172831: $S_{n,0}$ using roots of unity. 150106-163010: $S_{n,0}$, $S_{n,1}$, and $S_{n,2}$ (4). 150106-163007: $S_{n,0}$, $S_{n,1}$, and $S_{n,2}$ (3). 150106-163003: $S_{n,0}$, $S_{n,1}$, and $S_{n,2}$ (2). 150106-162959: $S_{n,0}$, $S_{n,1}$, and $S_{n,2}$. 150106-162955: Course info. }
15-475 is 2015 MAT 475 - Problem Solving Seminar.

Notes for BBS/15-475-150310-171912.jpg: