math-tutor
Mathematics subject expertise for study notes, problem-solving, and explanations. Covers algebra, calculus, statistics, linear algebra, and discrete math. Provides formulas, proof strategies, and step-by-step solutions. Use when studying math topics, creating math notes, solving math problems, or explaining mathematical concepts. Triggers - math help, algebra, calculus, derivatives, integrals, statistics, linear algebra, proofs, equations.
- Installs
- 83
- Last 24h
- —
- Trending rank
- —
- Security
- Not audited
Install
Works with every agent the skills CLI supports.
npx skills add https://github.com/szeyu/vibe-study-skills --skill math-tutor- 01
Install
Run the command in your project. The CLI asks which agents to install for.
- 02
Describe the task
Ask your agent for something this skill covers. It loads math-tutor automatically when relevant.
- 03
Review the result
The agent follows the SKILL.md steps, scripts and references bundled with the skill.
SKILL.md
The instructions your agent reads when the skill is triggered.
Mathematics Subject Expert
Specialized knowledge for mathematics studying, problem-solving, and note creation.
Topic Coverage
mindmap
root((Mathematics))
Algebra
Equations
Polynomials
Functions
Inequalities
Calculus
Limits
Derivatives
Integrals
Series
Statistics
Descriptive
Probability
Inference
Distributions
Linear Algebra
Matrices
Vectors
Eigenvalues
Transformations
Discrete Math
Logic
Sets
Combinatorics
Graph Theory
Quick Reference Links
- Formulas: See formulas.md
- Calculus: See calculus.md
- Linear Algebra: See linear-algebra.md
- Statistics: See statistics.md
Problem-Solving Framework
General Steps
- Read carefully - Identify what's given and what's asked
- Draw/visualize - Sketch graphs, diagrams
- Choose strategy - Direct, substitution, contradiction, etc.
- Execute - Show all steps clearly
- Verify - Check answer makes sense
Common Proof Strategies
| Strategy | When to Use | Example |
|---|---|---|
| Direct Proof | Show P → Q directly | "If n is even, n² is even" |
| Contradiction | Assume ¬Q, derive contradiction | Proving √2 is irrational |
| Contrapositive | Prove ¬Q → ¬P instead | Logical equivalence |
| Induction | Statements about all n ∈ ℕ | Sum formulas |
| Cases | Different scenarios | Piecewise functions |
Mathematical Induction Template
Claim: P(n) is true for all n ≥ 1
Base Case: Show P(1) is true.
[Verify for n = 1]
Inductive Step:
Assume P(k) is true for some k ≥ 1. (Inductive Hypothesis)
Show P(k+1) is true.
[Derive P(k+1) using P(k)]
Therefore, by induction, P(n) is true for all n ≥ 1. ∎
Notation Reference
| Symbol | Meaning |
|---|---|
| ∀ | For all |
| ∃ | There exists |
| ∈ | Element of |
| ⊂ | Proper subset |
| ⊆ | Subset or equal |
| ∪ | Union |
| ∩ | Intersection |
| ℕ | Natural numbers {1,2,3,...} |
| ℤ | Integers {...,-1,0,1,...} |
| ℚ | Rational numbers |
| ℝ | Real numbers |
| ℂ | Complex numbers |
| ∞ | Infinity |
| ∴ | Therefore |
| ∵ | Because |
| ∎ | QED (proof complete) |
Function Analysis Checklist
- Domain - What x values work?
- Range - What y values result?
- Intercepts - Where x=0, y=0?
- Symmetry - Even f(-x)=f(x)? Odd f(-x)=-f(x)?
- Asymptotes - Vertical, horizontal, oblique?
- Critical points - Where f'(x)=0 or undefined?
- Intervals - Increasing/decreasing?
- Concavity - Where f''(x) > 0 or < 0?
- Inflection points - Where concavity changes?
Common Mistakes to Avoid
- Dividing by zero - Check denominator ≠ 0
- Square root of negative - Consider domain
- Forgetting ± when taking square roots
- Chain rule errors in derivatives
- Forgetting +C in indefinite integrals
- Incorrect limit laws for 0/0, ∞/∞ forms
FAQ
What does the math-tutor skill do?
Mathematics subject expertise for study notes, problem-solving, and explanations. Covers algebra, calculus, statistics, linear algebra, and discrete math. Provides formulas, proof strategies, and step-by-step solutions. Use when studying math topics, creating math notes, solving math problems, or explaining mathematical concepts. Triggers - math help, algebra, calculus, derivatives, integrals, statistics, linear algebra, proofs, equations.
How do I install math-tutor?
Run npx skills add https://github.com/szeyu/vibe-study-skills --skill math-tutor in your project. The skills CLI detects the agents you use and copies the skill into the right folder. For Claude Code you can also place the skill folder at ~/.claude/skills/math-tutor/ (personal) or .claude/skills/math-tutor/ (project).
Which AI agents can use math-tutor?
Any agent that supports the open Agent Skills format (a folder with a SKILL.md file), including Claude Code, Codex, Cursor, GitHub Copilot, Gemini CLI, Windsurf, Cline, OpenCode and more.
Is math-tutor safe to install?
No partner security audit is available yet. Skills can run commands and scripts, so read the SKILL.md and any bundled files before installing.
Who maintains math-tutor?
It is published by szeyu in szeyu/vibe-study-skills. It has 83 recorded installs.
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