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1	A Mathematical Induction question	Algebra	36	Area, volume & arc length formulas in Word file	Calculus
2	An application of M.I. to Inequality	Algebra	37	A formula for finding area of parametric equation	Calculus
3	Find the mistake in a math. induction problem	Algebra	38	A surprise in Area and Arc Length	Calculus
4	Method of Undetermined Coefficients	Algebra	39	An example in calculating Surface Area	Calculus
5	An unexpected root	Algebra	40	An approximation of pi by throwing matches	Calculus
6	Polynomial equation of Sum of Square Roots	Algebra	41	Unexpected solutions of: yx=xy	Calculus
7	Expanding trinomials	Algebra	42	Painter's paradox	Calculus
8	Covering up Rule in Partial Fraction	Algebra	43	Double Integral	Calculus
9	Algebraic method to find the asymptote	Algebra	44	Prove A.M.-G.M. inequality by differentiation	Calculus Algebra
10	Differentiate a determinant	Algebra	45	Prove A.M.-G.M. inequality by integration	Calculus Algebra
11	Decreasing order formula for a Determinant	Algebra	46	Square root of 4 = 2 or ±2 ?	Complex No
12	Continuous Compound Interest	Algebra, Economics	47	Square roots of a complex number	Complex No
13	Harmonic series is divergent	Algebra Calculus	48	Logarithm of a negative number	Complex No
14	12 + 22 + 32 + ... + n2	Algebra, Physics	49	Locate the complex roots using a quadratic graph	Complex No
15	(1+ 1/n)n is monotonic increasing	Calculus	50	Factorize x3+ y3 +z3 - 3xyz	Complex No, Determinant
16	Find the mistake in Concept of Limit	Calculus	51	Different approaches to a limit problem	Complex No, Integration
17	Spot the mistake in Differentiation	Calculus	52	Kill two birds with a stone	Complex No, Integration
18	Examples on increasing and decreasing functions	Calculus	53	Equation of a circle passing through three given points	Co-geometry
19	Derivatives of inverse trigonometric function	Calculus	54	Circle passing through intersections of 3 straight lines	Co-geometry
20	Differentiate x to the power of xx	Calculus	55	Three common chords of three intersecting circles are concurrent	Co-geometry
21	Differentiate xr	Calculus	56	Equilateral triangle on Geo-board 釘板	Co-geometry
22	Some Points to note in L' hospital Rule	Calculus	57	Five points define a conic	Co-geometry, Determinant
23	An example in L' hospital Rule	Calculus	58	Distance from a point to a line	3D Co-geom
24	Harder Problems in L' hospital Rule	Calculus	59	Distance from a point to a plane	3D Co-geom
25	Sketch the graph with implicit equation	Calculus	60	i i can be real	Number
26	Roots, Asymptotes and Holes of Rational Functions	Calculus	61	An irrational number power another irrational number can be rational!	Number
27	Find the mistake in integration	Calculus	62	Ten ways to show that square root of 2 is irrational	Number
28	Visualize Integration by parts	Calculus	63	e is irrational	Number
29	Extending Integration by parts	Calculus	64	The unit digit of the largest known prime	Number
30	Another form of n!	Calculus	65	Probability of finding sum of values in throwing dice	Probability
31	An approximation of pi using one line	Calculus	66	tan-1(1/2) + tan-1(1/3) = ?	Trigonometry
32	Short proof of an integration formula and its applications	Calculus	67	Is cosine root x a periodic function?	Trigonometry
33	Example of using Partial Fraction to evaluate Integral	Calculus	68	Find cos72o using complex number	Trigonometry, Complex No
34	Algebraic Vs Trigonometric substitution	Calculus	69	Can you solve the equation sin x = 2?	Trigonometry, Complex No.
35	Parametric Integration	Calculus	70	Why we use (n-1) in the denominator of standard deviation formula	Statistics