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BMath Bachelor of Mathematics Cheat Sheet 2026

The 30 highest-yield BMath Bachelor of Mathematics facts, distilled from real exam questions. Print it, save it as a PDF, or study it here โ€” free, no sign-up.

30 questions
120 min time limit
60.00% to pass
  1. The center Z(G) of a group G is defined as: โ†’ The set of elements that commute with every element of G
  2. According to this document, multiplying by 4 can be done faster by doing what instead? โ†’ Multiplying by 2 twice
  3. What kind of sequence involves using the preceding term(s) to determine each successive term? โ†’ Recursive Sequence
  4. What is the iteration rule used for plotting the Mandelbrot set? โ†’ z_(n + 1) = z_n^2 + c | z_0 = 0
  5. Which of the following is NOT an improper integral? โ†’ โˆซ[โˆ’1 to 1] xยฒ dx
  6. Which one of the options listed below is not considered a method for solving problems? โ†’ Carry out the strategy
  7. The Wronskian W(yโ‚, yโ‚‚) of two solutions is used to determine: โ†’ Whether the solutions are linearly independent
  8. Which distribution models the number of successes in n independent Bernoulli trials with probability p? โ†’ Binomial distribution
  9. Lagrange's Theorem states that for a finite group G with subgroup H: โ†’ |H| divides |G|
  10. Two matrices A and B are similar if: โ†’ A = PโปยนBP for some invertible matrix P
  11. What method does this document recommend for multiplying two-digit numbers less than twenty but more than ten together? โ†’ Apply cross multiplication
  12. In modular arithmetic, 17 mod 5 equals: โ†’ 2
  13. For the system x' = Ax with constant matrix A, the stability of the equilibrium x = 0 depends on: โ†’ The real parts of the eigenvalues of A
  14. The First Isomorphism Theorem states that if ฯ†: G โ†’ H is a group homomorphism, then: โ†’ G/ker(ฯ†) โ‰… Im(ฯ†)
  15. The geometric distribution models: โ†’ The number of trials until the first success
  16. What does the expected value E[X] of a discrete random variable X represent? โ†’ The weighted average of all possible values
  17. The characteristic equation of y'' โˆ’ 5y' + 6y = 0 is: โ†’ rยฒ โˆ’ 5r + 6 = 0
  18. For an nร—n matrix, the characteristic polynomial is of degree: โ†’ n
  19. If f is continuous on [a, b], which theorem guarantees f attains both its maximum and minimum values? โ†’ Extreme Value Theorem
  20. What method can be used to find the rule of a sequence? โ†’ Multiplying the term number by the difference
  21. What is the mathematical concept used to plot fractals over real and complex domains? โ†’ Dynamical systems
  22. Which of the following groups is an example of a simple group? โ†’ Z_5
  23. Which of the following is a way to improve your mental math skills? โ†’ Practice regularly and consistently
  24. What is the derivative of arctan(x)? โ†’ 1/(1 + xยฒ)
  25. Which statement about the alternating group A_n is TRUE? โ†’ A_n is a normal subgroup of S_n with index 2
  26. What is the significance of the critical points of a function? โ†’ They are the points where the function's derivative is zero or undefined
  27. What is the rank of a matrix? โ†’ The dimension of its column space
  28. What is the row echelon form used for in Gaussian elimination? โ†’ Solving systems of linear equations systematically
  29. The Fundamental Theorem of Arithmetic states that every integer n > 1: โ†’ Has a unique prime factorization
  30. In multiplication by 11, what rule is applied when the sum of two adjacent digits is more than 9? โ†’ Carry over to the next digit
Turn these facts into recall:
๐Ÿƒ BMath Bachelor of Mathematics Flashcards๐Ÿ“š Full Study Guide