This course is built as micro‑presentations: short, clear screens that teach one concept at a time. That’s how you build real math skill without burnout.

1. Learn: read the micro‑presentations (on-site)
2. (Paid) Drill: take the quiz and lock in your score
3. (Paid) Belt Exam: prove the belt section and rank up

Muay Thai rule: fundamentals win fights. This course trains fundamentals that survive an AI job market.

AI is getting very good at producing plausible-looking solutions — including wrong ones. Your teen stays valuable by training what AI cannot guarantee for them: modeling, verification, reasoning, and disciplined problem solving.

Linear Algebra and Calculus sit underneath modern technology: machine learning, robotics, graphics, optimization, signal processing, and scientific computing. This isn’t “just math.” It’s combat conditioning for technical thinking.

Disclaimer: Belts, certificates, and course completion do not guarantee grades, college admissions, internships, jobs, or income outcomes.

AI can throw punches fast. You’ll train control, accuracy, and endurance. Two complete systems: Linear Algebra and Calculus.

• Don’t memorize. Understand the move.
• Don’t guess. Verify.
• Don’t freeze. Break problems into steps.
• Earn belts. Prove skill under pressure.

If you want an edge over classmates who rely on AI, this course is your training camp. If you like it, send it to a friend and train together.

Linear Algebra (control of space + structure)

• Vectors, dot product (and cross product concepts)
• Matrices and linear transformations
• Systems of equations, elimination, RREF
• Span, independence, subspaces, bases, dimension
• Invertibility, determinants, eigenvalues/eigenvectors
• Orthogonality, projections, least squares, SVD (big-picture + foundations)

Calculus (control of change + motion)

• Limits and continuity
• Derivatives: rules, chain rule, implicit differentiation
• Optimization and curve behavior (what the function is “doing”)
• Integrals and the Fundamental Theorem of Calculus
• Substitution and numerical integration
• Intro differential equations (change defined by rules)

• Micro‑presentations (short screens, bite-sized learning)
• (Paid) Auto‑graded drills/quizzes with retries
• (Paid) Belt exams to prove progress
• Moodle tracking: scores, completion, progress history
• No instructor technical Q&A required — students progress via training + repetition + retakes

Learn → drill → test → rank up. That’s the Muay Thai dojo system.

This course has two fight camps: Linear Algebra first, then Calculus.

• White Belt — “Stance & Guard”: LA‑01 to LA‑06 (Linear Algebra foundations)
• Yellow Belt — “Jab–Cross”: LA‑07 to LA‑12 (Transformations + systems)
• Orange Belt — “Clinch Control”: LA‑13 to LA‑18 (RREF, span, subspaces, bases)
• Green Belt — “Power Knees”: LA‑19 to LA‑24 (Invertibility, determinants, eigenstuff, orthogonality/least squares/SVD)
• Blue Belt — “Footwork & Timing”: CAL‑01 to CAL‑17 (Limits, continuity, derivative fundamentals)
• Brown Belt — “Combo Pressure”: CAL‑18 to CAL‑35 (Chain rule, optimization, core integrals + FTC)
• Black Belt — “Fight IQ”: CAL‑36 to CAL‑52 (Advanced integration + intro differential equations)

Black Belt Test: comprehensive final exam covering LA‑01 to LA‑24 and CAL‑01 to CAL‑52.

Free (Guest Training)

• Access the learning micro‑presentations (on-site)
• See the full curriculum and belt map
• Preview how the dojo system works

Dojo Membership (Paid)

• Full access to all drills, quizzes, and belt exams
• Belt tracking and certificates
• Parent visibility of progress and scores inside Moodle

Founders / Inauguration Price: $5 per course for 30 days (about the price of a coffee). This is the launch price while the dojo is expanding — as more belts, exams, and courses are added, the price will rise.

Part I — Linear Algebra Fight Camp (24 Training Forms)

1. LA‑01 — Linear Algebra as Controlled Transformation: Why transformations are the core idea.
2. LA‑02 — Vectors: The Fighter’s Stance: Vectors as geometry and structured data.
3. LA‑03 — Vector Operations: Add, scale, and interpret vectors.
4. LA‑04 — Dot Product: Alignment and projection thinking.
5. LA‑05 — Cross Product (Conceptual): Orientation and 3D geometry meaning.
6. LA‑06 — Matrices: Rows/columns and structure.
7. LA‑07 — Matrix Arithmetic: Addition, scaling, and shape rules.
8. LA‑08 — Matrix Multiplication: Composition; order matters.
9. LA‑09 — Linear Transformations: The rule set for “linear.”
10. LA‑10 — Matrices as Transformations: Columns as mapped basis vectors.
11. LA‑11 — Systems of Equations: Constraints and modeling.
12. LA‑12 — Gaussian Elimination: Row operations as a reliable algorithm.
13. LA‑13 — RREF: Pivots and solution structure.
14. LA‑14 — Solution Geometry: Unique/none/infinite solution sets.
15. LA‑15 — Span: How linear combos “cover space.”
16. LA‑16 — Linear Dependence: Detecting redundancy.
17. LA‑17 — Subspaces: Null/row/column space meaning.
18. LA‑18 — Bases and Dimension: Minimal building blocks.
19. LA‑19 — Invertible Matrices: Undoing a move.
20. LA‑20 — Invertible Matrix Theorem: Equivalent tests for invertibility.
21. LA‑21 — Determinants: Space-scaling and “zero warning light.”
22. LA‑22 — Eigenvalues & Eigenvectors: Hidden structure in systems.
23. LA‑23 — Diagonalizability: Simplifying computations via the right basis.
24. LA‑24 — Advanced Tools: Orthogonality, least squares, SVD, and why vector spaces show up everywhere.

Part II — Calculus Fight Camp (52 Training Forms)

1. CAL‑01 — What Calculus Is: The math of change (rates and totals).
2. CAL‑02 — Graphs and Models: Reading and interpreting functions.
3. CAL‑03 — Function Families: Common shapes and behaviors.
4. CAL‑04 — Trig Essentials: Radians and core trig ideas.
5. CAL‑05 — Limits: The foundation concept.
6. CAL‑06 — Limits (Numerical): Tables and estimation.
7. CAL‑07 — Limits (Graphical): Reading behavior from graphs.
8. CAL‑08 — Limits (Analytical): Algebraic techniques.
9. CAL‑09 — When Limits Fail: Recognizing non-existence.
10. CAL‑10 — Continuity: No teleporting.
11. CAL‑11 — Intermediate Value Thinking: Guarantees from continuity.
12. CAL‑12 — Infinite Limits: Vertical asymptotes.
13. CAL‑13 — Limits at Infinity: Horizontal asymptotes.
14. CAL‑14 — Derivative Definition: Instantaneous rate of change.
15. CAL‑15 — Power Rule & Constants: First shortcuts.
16. CAL‑16 — Sum/Difference Rules: Splitting functions.
17. CAL‑17 — Trig Derivatives: Core trig rules.
18. CAL‑18 — Product Rule: Derivatives of products.
19. CAL‑19 — Quotient Rule: Derivatives of ratios.
20. CAL‑20 — Higher Derivatives: Acceleration/curvature ideas.
21. CAL‑21 — Chain Rule: Derivatives of compositions.
22. CAL‑22 — Implicit Differentiation: When you can’t isolate y.
23. CAL‑23 — Related Rates: Translating word change problems.
24. CAL‑24 — Critical Points: Candidates for maxima/minima.
25. CAL‑25 — Increasing/Decreasing: First-derivative behavior.
26. CAL‑26 — Mean Value Ideas: Connecting average and instantaneous change.
27. CAL‑27 — Concavity/Inflection: Second-derivative behavior.
28. CAL‑28 — Curve Sketching: Full graph intelligence from derivatives.
29. CAL‑29 — Linear Approximation: Tangent-line estimation.
30. CAL‑30 — Optimization I: Building objective + constraints.
31. CAL‑31 — Optimization II: Solving and checking.
32. CAL‑32 — Antiderivatives: Reversing differentiation.
33. CAL‑33 — Definite Integrals: Accumulation and area.
34. CAL‑34 — FTC (Part 1): Why rates and totals connect.
35. CAL‑35 — FTC (Part 2): Variable limits and applications.
36. CAL‑36 — Substitution (u‑sub): A core integration technique.
37. CAL‑37 — Numerical Integration: Approximating totals.
38. CAL‑38 — ln Differentiation: Log behavior and rules.
39. CAL‑39 — ln Integration: Recognizing log patterns.
40. CAL‑40 — Exponentials: The growth engine.
41. CAL‑41 — Other Bases: Handling bases beyond the natural base.
42. CAL‑42 — Inverses (Incl. Inverse Trig): Essential derivative rules.
43. CAL‑43 — Area Between Curves: Regions and accumulation.
44. CAL‑44 — Volume (Disk Method): Slicing solids.
45. CAL‑45 — Volume (Shell Method): An alternate setup.
46. CAL‑46 — Arc Length & Surface Area: Measuring curves and surfaces.
47. CAL‑47 — Integration Fluency Round: Mixing rules correctly.
48. CAL‑48 — Integration by Parts & More: Tools for tougher integrals.
49. CAL‑49 — Differential Equations: Equations that define change.
50. CAL‑50 — Slope Fields: Seeing solutions without solving.
51. CAL‑51 — Separation of Variables (Intro): A first solving method.
52. CAL‑52 — Differential Equations Applications (Intro): Modeling change over time.

Disclaimer: This course provides education and training and cannot guarantee a specific job outcome.

Belts are proof of skill. Belts are earned through drills and belt exams.

Passing score: 80%
Retries: Unlimited
Score policy: Best score counts (highest score recorded; retakes cannot lower the record)

Eligibility: completing the required drills/quizzes unlocks the belt test.

Question style: fixed quizzes/exams (clear 4‑option multiple choice). This dojo is optimized for speed and consistency of training.

Optional anti‑spam cooldown (recommended): add a cooldown after failed attempts to reduce rapid guessing and encourage real review.

Integrity — “You vs AI”

• No AI tools during belt tests. No chatbots, no auto-answer tools, no “solve this for me.”
• No outside help during belt tests (friends, tutors, siblings).
• Parent presence encouraged during belt tests (nearby / same room) for accountability.

Notes Policy

• Drills: open‑notes allowed.
• Belt tests: closed‑notes or one‑page notes (dojo admin choice).

Disclaimer: Belts and certificates recognize mastery within this program and do not guarantee academic or career outcomes.