Mathematics
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111 decks · 6 subjects
Discrete mathematics
42- Adjacency matrix and adjacency lists
- Assignment problem
- Bellman-Ford algorithm
- Binary tree traversals
- Breadth-first search
- Canonical forms of a Boolean function
- Cardinality of a set
- Cartesian product and power set
- Composition of functions
- Congruences
- Connected components and topological sort
- Connectives and truth tables
- Depth-first search
- Dijkstra's algorithm
- Equivalence relations
- Euclidean division
- Eulerian and Hamiltonian graphs
- Floyd-Warshall algorithm
- Gantt chart
- GCD, Euclid's algorithm and Bézout
- Graph colouring
- Implication, contrapositive, converse
- Injection, surjection, bijection
- Karnaugh maps
- Kruskal's and Prim's algorithms
- Logical equivalences and De Morgan's laws
- Maximum flow
- Methods of proof
- Numeration in base b
- Order relations
- Paths, cycles, connectivity
- Permutations, arrangements, combinations
- PERT and MPM
- Prime numbers
- Properties of a binary relation
- Properties of Boolean algebra
- Quantifiers
- Set operations
- Special graphs
- Transitive closure
- Trees and spanning trees
- Vertices, edges, degrees
Probability and statistics
30- Choosing a statistical chart
- Conditional probability and independence
- Continuous distributions
- Correlation and regression
- Descriptive statistics
- Diagnostic tests
- Digital tools for statistics
- Discrete distributions
- Estimators
- Expected value and variance of a random variable
- Likelihood
- Markov chains
- Putting the normal distribution to work
- Queueing
- Random number generators
- Reading a research paper
- Sample spaces and events
- Statistical analysis libraries
- Statistical distributions and tests
- Student's t-test
- Study designs and levels of evidence
- The central limit theorem
- The chi-squared test
- The confidence interval
- The law of large numbers
- The Poisson process
- The scientific method
- The spread of a series
- The vocabulary of statistics
- Total probability and Bayes' formula
Operations research
14- Classification with logistic regression
- Gradient descent
- Heuristics and metaheuristics
- Matching in a graph
- Minimax and alpha-beta
- Modelling a linear programme
- Multiple linear regression
- Solving a linear programme on a graph
- The A* algorithm
- The decision tree
- The knapsack problem
- The linear programme: standard form and duality
- The simplex algorithm
- The travelling salesman problem
Analysis
13- Arithmetic and geometric sequences
- Convergence of a sequence
- Derivatives
- Induction and recursion
- Lagrange interpolation
- Least squares method
- Limits and comparative growth
- Numerical integration
- Reading the graph of a function
- Recursively defined sequences
- Rounding errors
- Solving f(x) = 0: bisection, Newton, fixed point
- Standard functions
Algebra
10Arithmetic
2Learning paths
Decks put in the order you learn them, step by step, up to a badge.
- Sound reasoning: logic, sets, arithmetic
- Solving a problem with a graph
- The tools of calculation: equations, matrices, functions
- Sequences and approximate calculation
- Describing data with numbers and charts
- Measuring chance
- Finding the best solution
- Deciding with a model
- From a sample to a conclusion
- Reading data and reasoning like a researcher