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CORE IT CONCEPTS

Mathematics Statistics and Computing topics

10 short topics in Mathematics Statistics and Computing. Each one is a single focused exercise with a clear piece of evidence at the end.

Tech, All levels
ALL TOPICS

10 topics, one exercise each.

Work through them in order, or jump to the one you need.

These are draft topic outlines (draft; instructor review pending). Full lessons follow after review; ask Ajay if you need a topic sooner.

  1. 01

    Logic and Boolean algebra

    Create a worked example for Logic and Boolean algebra; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  2. 02

    Sets relations and functions

    Create a worked example for Sets relations and functions; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  3. 03

    Combinatorics

    Create a worked example for Combinatorics; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  4. 04

    Graph theory foundations

    Create a worked example for Graph theory foundations; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  5. 05

    Vectors and matrices

    Create a worked example for Vectors and matrices; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  6. 06

    Probability and conditional probability

    Create a worked example for Probability and conditional probability; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  7. 07

    Descriptive statistics

    Create a worked example for Descriptive statistics; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  8. 08

    Sampling and uncertainty

    Create a worked example for Sampling and uncertainty; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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  9. 09

    Optimization and gradients

    Create a worked example for Optimization and gradients; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
    Open micro-course →
  10. 10

    Numerical precision and stability

    Create a worked example for Numerical precision and stability; show inputs, outcomes and one counterexample or edge case.

    ExplainFoundation to intermediateEvidence: Worked example and reasoning
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