| 15-475-{ | hide text |
| 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. |
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Notes for BBS/15-475-150122-171505.jpg: [edit]