Math Affinity Puzzles (Paperback, 1)

Part 1: Precalculus 1. Integers: Rational Numbers 2. Circle: Center and Radius 3. 3 ? √7: 3 1√7 4. y = logb x: x = by 5. Even-Degree Polynomial: Horizontal Line Test? 6. Nonorigin Point in the Plane: Polar Coordinates (r, θ ) with 0 ≤ θ < 2π 7. am: am?n 8. x = 0: log10 x 9. Degree of a Polynomial: Number of Real Roots 10. ex: ln x 11. Complex Numbers: Real Numbers 12. x2+1 : x = 1?13. y = arctan(x) + 3: y = arctan(x) 14. √ab: √a√b 15. Positive Integers: Prime Numbers and Composite Numbers 16. Polynomial Function: Asymptote 17. x2 = x: x = 1 18. Circle: Ellipse 19. (A ∩ B) ∪ (A ∩ C): A ∪ (B ∩ C) 20. log2 x: ln x 21. tan x: cot x 22. Function: Symmetric about the x-axis Part 2: Calculus 23. Rolle’s Theorem: Mean Value Theorem 24. y = cos x: y ? 1 = √3? 2 (x ? π ) 25. Riemann Sum: Definite Integral 26. Critical Point: Local Extremum 27. limx→π sin x: sin x 28. Marginal Cost: Total Cost 29. limx→0 cos x: L’Hopital’s Rule 30. Differentiable : Continuous 31. Maclaurin Series : Taylor Series 32. Concave-Up Function : Minimum 33. Definite Integral : Area 34. Factorials : Polynomials 35. Addition : Arithmetic Sequence 36. 1: ln x 37. Velocity: Position 38. Taylor Polynomials: Smooth Function 39. Chain Rule: Integration by u-substitution 40. Improper Integral: Definite Integrals 41. Everywhere-Zero Derivative: Differentiable Function 42. f (xx) ?f (a): f ′(a) 43. ∞ 3 2 n: 3 44. Intermediate Value Theorem: |x| on the Interval [?2, 1] Part 3: Postcalculus 45. Dot Product: Orthogonal Vectors 46. □□2f 47. Gradient: Level Curve 48. □□2f □□2f ? а □□2f 49. Three Distinct Points: Plane in R3 50. Gradient: Directional Derivative 51. Concavity: Euler’s Method 52. Separation of Variables: Homogeneous Differential Equation 53. Switching Two Rows: Determinant 54. Matrix: Reduced Row Echelon Form 55. Eigenvalue: Eigenvector 56. Determinant: Rank 57. Matrix Multiplication: Square Matrices 58. Permutations: Determinant 59. Event: Sample Space 60. Successive, Independent Coin Flips: Probability of Heads 61. Cumulative Distribution Function: Probability Density Function 62. Geometric Distribution: Exponential Distribution 63. Eulerian Path: Graph 64. Tree: Cycle 65. Bipartite Graph: Three-Colorable 66. Planar Graph: K5 Subgraph