Math Methods flashcards

What this deck covers

• Unit 3 (59 cards, 17 dot points)

  • Binomial probabilities and cumulative probabilities: WACE Year 12 Mathematics Methods Unit 3 (3)
  • Curve sketching with calculus: WACE Year 12 Mathematics Methods Unit 3 (2)
  • Derivatives of exponential functions: WACE Year 12 Mathematics Methods Unit 3 (4)
  • Derivatives of logarithmic functions: WACE Year 12 Mathematics Methods Unit 4 (5)
  • Derivatives of trigonometric functions: WACE Year 12 Mathematics Methods Unit 3 (4)
  • Discrete probability distributions: WACE Year 12 Mathematics Methods Unit 3 (4)
  • Discrete random variables and the binomial distribution: WACE Year 12 Mathematics Methods Unit 3 (4)
  • Expected value of a discrete random variable: WACE Year 12 Mathematics Methods Unit 3 (4)
  • Exponential and logarithmic functions: WACE Year 12 Mathematics Methods Units 3 and 4 (5)
  • Further differentiation and applications: WACE Year 12 Mathematics Methods Unit 3 (2)
  • Mean and variance of the binomial distribution: WACE Year 12 Mathematics Methods Unit 3 (3)
  • Optimisation problems: WACE Year 12 Mathematics Methods Unit 3 (2)
  • Rates of change and related rates: WACE Year 12 Mathematics Methods Unit 3 (3)
  • The Bernoulli distribution: WACE Year 12 Mathematics Methods Unit 3 (4)
  • The product and quotient rules: WACE Year 12 Mathematics Methods Unit 3 (4)
  • The second derivative and concavity: WACE Year 12 Mathematics Methods Unit 3 (2)
  • Variance and standard deviation of a discrete random variable: WACE Year 12 Mathematics Methods Unit 3 (4)
• Unit 4 (60 cards, 14 dot points)

  • Antidifferentiation and indefinite integrals: WACE Year 12 Mathematics Methods Unit 3 (5)
  • Area between curves: WACE Year 12 Mathematics Methods Unit 3 (4)
  • Confidence intervals for proportions: WACE Year 12 Mathematics Methods Unit 4 (4)
  • Continuous random variables and the normal distribution: WACE Year 12 Mathematics Methods Unit 4 (4)
  • Integration and its applications: WACE Year 12 Mathematics Methods Unit 3 (5)
  • Integration in kinematics: WACE Year 12 Mathematics Methods Unit 3 (5)
  • Margin of error and sample size: WACE Year 12 Mathematics Methods Unit 4 (4)
  • Probability density functions: WACE Year 12 Mathematics Methods Unit 4 (4)
  • Standardisation and normal probability calculations: WACE Year 12 Mathematics Methods Unit 4 (3)
  • The definite integral and area: WACE Year 12 Mathematics Methods Unit 3 (5)
  • The Fundamental Theorem of Calculus: WACE Year 12 Mathematics Methods Unit 3 (5)
  • The normal distribution and its properties: WACE Year 12 Mathematics Methods Unit 4 (4)
  • The sample proportion and its distribution: WACE Year 12 Mathematics Methods Unit 4 (4)
  • Total change from a rate: WACE Year 12 Mathematics Methods Unit 3 (4)

Sample cards from this deck

1. Definition

   Derivatives of logarithmic functions: WACE Year 12 Mathematics Methods Unit 4

   Define Syllabus placement

   In the SCSA Mathematics Methods ATAR Year 12 syllabus, the logarithmic function (including its derivative) is Unit 4 (Topic 4.1), not Unit 3. Derivatives of exponential functions are Unit 3. This page sits in our Unit 3 folder for historical reasons.

2. Definition

   Antidifferentiation and indefinite integrals: WACE Year 12 Mathematics Methods Unit 3

   Define Syllabus placement

   In the SCSA Mathematics Methods ATAR Year 12 syllabus, integrals are Unit 3 (Topic 3.2), not Unit 4. This page sits in our Unit 4 folder for historical reasons; the content is Unit 3.

3. Definition

   Discrete probability distributions: WACE Year 12 Mathematics Methods Unit 3

   Define Discrete probability distribution

   A discrete probability distribution lists every value $x$ the variable can take alongside its probability $P(X=x)$.

4. Definition

   Area between curves: WACE Year 12 Mathematics Methods Unit 3

   Define Syllabus placement

   In the SCSA Mathematics Methods ATAR Year 12 syllabus, integrals are Unit 3 (Topic 3.2), not Unit 4. This page sits in our Unit 4 folder for historical reasons; the content is Unit 3.

5. Definition

   Exponential and logarithmic functions: WACE Year 12 Mathematics Methods Units 3 and 4

   Define Syllabus placement

   In the SCSA Mathematics Methods ATAR Year 12 syllabus, the logarithmic function (including its derivative) is Unit 4 (Topic 4.1), not Unit 3. Derivatives of exponential functions are Unit 3. This page sits in our Unit 3 folder for historical reasons.

6. Definition

   Integration and its applications: WACE Year 12 Mathematics Methods Unit 3

   Define Syllabus placement

   In the SCSA Mathematics Methods ATAR Year 12 syllabus, integrals are Unit 3 (Topic 3.2), not Unit 4. This page sits in our Unit 4 folder for historical reasons; the content is Unit 3.

7. Key fact

   Binomial probabilities and cumulative probabilities: WACE Year 12 Mathematics Methods Unit 3

   Tell me about Cumulative probabilities

   At-least and at-most questions sum several exact terms. The complement is the efficient route, especially for at-least-one events.

8. Definition

   Integration in kinematics: WACE Year 12 Mathematics Methods Unit 3

   Define Syllabus placement

   In the SCSA Mathematics Methods ATAR Year 12 syllabus, integrals are Unit 3 (Topic 3.2), not Unit 4. This page sits in our Unit 4 folder for historical reasons; the content is Unit 3.

9. Key fact

   Curve sketching with calculus: WACE Year 12 Mathematics Methods Unit 3

   Tell me about Asymptotes for non-polynomial curves

   Polynomials have no asymptotes, but rational and exponential functions do. For a rational function, a vertical asymptote occurs where the denominator is zero (and the numerator is not), and the horizontal asymptote is found from the behaviour as $x\to\pm\infty$.

10. Definition

    The definite integral and area: WACE Year 12 Mathematics Methods Unit 3

    Define Syllabus placement

    In the SCSA Mathematics Methods ATAR Year 12 syllabus, integrals are Unit 3 (Topic 3.2), not Unit 4. This page sits in our Unit 4 folder for historical reasons; the content is Unit 3.