STARMAST full index
This is a complete index of links to all available written materials on the STARMAST site. You can find all interactive materials at the app list page.
The study guide index is
Each topic is marked with:
- (✕) when its QuickCheck problem remains incomplete
- (✓) when all questions have been answered correctly
Study guides, questions, answers
Key skills in algebra
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to rearranging equations | guide | questions | answers |
| Rationalizing the denominator | guide | questions | answers |
| Introduction to solving simultaneous equations | guide | questions | answers |
| Factorization | guide | questions | answers |
Solving equations
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to quadratic equations | guide | questions | answers |
| Completing the square | guide | questions | answers |
| The quadratic formula | guide | questions | answers |
Topics in arithmetic
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to sigma notation | guide | questions | answers |
Exponentials and logarithms
| Topic | guide | questions | answers |
|---|---|---|---|
| Laws of indices | guide | questions | answers |
| Solving exponential equations | guide | questions | answers |
| Introduction to logarithms | guide | questions | answers |
Angles and trigonometry
| Topic | guide | questions | answers |
|---|---|---|---|
| Radians | guide | questions | answers |
| Introduction to trigonometry (degrees) | guide | questions | answers |
| Introduction to trigonometry (radians) | guide | questions | answers |
| Trigonometric identities (degrees) | guide | questions | answers |
| Trigonometric identities (radians) | guide | questions | answers |
Topics in complex numbers
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to complex numbers | guide | questions | answers |
| Arithmetic on complex numbers | guide | questions | answers |
Topics in vectors
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to vectors | guide | questions | answers |
| Vector addition and scalar multiplication | guide | questions | answers |
| The scalar product | guide | questions | answers |
Topics in calculus
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to differentiation and the derivative | guide | questions | answers |
| The product rule | guide | questions | answers |
| The quotient rule | guide | questions | answers |
| The chain rule | guide | questions | answers |
| Introduction to integration | guide | questions | answers |
| Introduction to partial differentiation | guide | questions | answers |
Probability and statistics
| Topic | guide | questions | answers |
|---|---|---|---|
| Introduction to probability | guide | questions | answers |
| PMFs, PDFs, CDFs | guide | questions | answers |
| Expected value, variance, standard deviation | guide | questions | answers |
| Conditional probability | guide | questions | answers |
| Law of total probability and Bayes’ theorem | guide | questions | answers |
| Introduction to hypothesis testing | guide | questions | answers |
Overviews
| Topic | overview |
|---|---|
| Probability distributions | overview |
Factsheets
Mathematics
| Topic | factsheet |
|---|---|
| Laws of logarithms | factsheet |
| Laws of indices | factsheet |
| Trigonometric identities (degrees) | factsheet |
| Trigonometric identities (radians) | factsheet |
| Hyperbolic identities | factsheet |
| Rules of calculus | factsheet |
| List of derivatives | factsheet |
| List of integrals | factsheet |
| Greek letters | factsheet |
Statistics
| Topic | factsheet |
|---|---|
| Beta distribution | factsheet |
| Binomial distribution | factsheet |
| Chi-squared distribution | factsheet |
| Continuous uniform distribution | factsheet |
| Discrete uniform distribution | factsheet |
| Exponential distribution | factsheet |
| \(F\)-distribution | factsheet |
| Gamma distribution | factsheet |
| Geometric distribution | factsheet |
| Lognormal distribution | factsheet |
| Negative binomial distribution | factsheet |
| Normal distribution | factsheet |
| Poisson distribution | factsheet |
| \(t\)-distribution | factsheet |
Proof sheets
| Topic | proof sheet |
|---|---|
| Quadratic formula | proof sheet |
| Scalar product | proof sheet |
| Derivatives of functions from first principles | proof sheet |
| Rules of differentiation | proof sheet |
| PMFs, PDFs, CDFs | proof sheet |
| Law of total probability and Bayes’ theorem | proof sheet |
Calculators
Mathematics
| Topic | calculator |
|---|---|
| Blank 2D graphical | calculator |
| Blank 3D graphical | calculator |
| Solving quadratic equations | calculator |
Statistics
| Topic | calculator |
|---|---|
| \(t\)-testing | calculator |
| \(Z\)-testing | calculator |