All Lectures

24 lectures across 3 modules

Course Map

Click on any lecture to begin learning.

“What is a molecule?”

#	Title	Primitive	Status
1	Orientation: Learning to See	—	Coming Soon
2	What Kinds of Numbers?	EXISTENCE	Coming Soon
3	Counting Things	COLLECTION	Coming Soon
4	Bonds Point (Vectors)	DIRECTION	Available
5	Angles and Projections	DIRECTION	Coming Soon
6	Coordinates	DIRECTION	Coming Soon
7	Grids of Numbers (Matrices)	ARRANGEMENT	Coming Soon
8	Transformations	ARRANGEMENT	Coming Soon

“How do things transform?”

#	Title	Primitive	Status
9	What Doesn’t Change?	SAMENESS	Coming Soon
10	Eigenvalues	SAMENESS	Coming Soon
11	Symmetry	SAMENESS	Coming Soon
12	Functions and Limits	PROXIMITY	Coming Soon
13	Asymptotes	PROXIMITY	Coming Soon
14	Instantaneous Rate	CHANGE	Coming Soon
15	Differentiation Rules	CHANGE	Coming Soon
16	Kinetics	RATE	Coming Soon
17	Integration	ACCUMULATION	Coming Soon
18	Integration Techniques	ACCUMULATION	Coming Soon

“What happens with many particles?”

#	Title	Primitive	Status
19	First-Order ODEs	DYNAMICS	Coming Soon
20	Second-Order Systems	DYNAMICS	Coming Soon
21	Probability Basics	SPREAD	Coming Soon
22	Distributions	SPREAD	Coming Soon
23	Expectation & Variance	SPREAD	Coming Soon
24	The Complete Map	SYNTHESIS	Coming Soon

How to Use Lectures

Each lecture follows the Reality → Recognition → Tool pattern:

Start with the Hook — A real chemical phenomenon
Recognize the Primitive — What pattern are you seeing?
Learn the Tool — The math that captures this pattern
Play with Interactives — Change parameters, see relationships
Practice until Mastery — 3 correct in a row

Recommended Path

New to the course? Start with Lecture 4: Bonds Point — it’s our most complete lecture and demonstrates the full approach.

--- title: "All Lectures" subtitle: "24 lectures across 3 modules" --- ## Course Map Click on any lecture to begin learning. ::: {.panel-tabset} ### Module 1: Structure (Weeks 1-4) **"What is a molecule?"** | # | Title | Primitive | Status | |---|-------|-----------|--------| | 1 | [Orientation: Learning to See](01-orientation.qmd) | — | Coming Soon | | 2 | [What Kinds of Numbers?](02-existence.qmd) | EXISTENCE | Coming Soon | | 3 | [Counting Things](03-collection.qmd) | COLLECTION | Coming Soon | | 4 | [**Bonds Point (Vectors)**](04-direction.qmd) | DIRECTION | Available | | 5 | [Angles and Projections](05-projections.qmd) | DIRECTION | Coming Soon | | 6 | [Coordinates](06-coordinates.qmd) | DIRECTION | Coming Soon | | 7 | [Grids of Numbers (Matrices)](07-matrices.qmd) | ARRANGEMENT | Coming Soon | | 8 | [Transformations](08-transformations.qmd) | ARRANGEMENT | Coming Soon | ### Module 2: Change (Weeks 5-9) **"How do things transform?"** | # | Title | Primitive | Status | |---|-------|-----------|--------| | 9 | What Doesn't Change? | SAMENESS | Coming Soon | | 10 | Eigenvalues | SAMENESS | Coming Soon | | 11 | Symmetry | SAMENESS | Coming Soon | | 12 | Functions and Limits | PROXIMITY | Coming Soon | | 13 | Asymptotes | PROXIMITY | Coming Soon | | 14 | Instantaneous Rate | CHANGE | Coming Soon | | 15 | Differentiation Rules | CHANGE | Coming Soon | | 16 | Kinetics | RATE | Coming Soon | | 17 | Integration | ACCUMULATION | Coming Soon | | 18 | Integration Techniques | ACCUMULATION | Coming Soon | ### Module 3: Probability (Weeks 10-12) **"What happens with many particles?"** | # | Title | Primitive | Status | |---|-------|-----------|--------| | 19 | First-Order ODEs | DYNAMICS | Coming Soon | | 20 | Second-Order Systems | DYNAMICS | Coming Soon | | 21 | Probability Basics | SPREAD | Coming Soon | | 22 | Distributions | SPREAD | Coming Soon | | 23 | Expectation & Variance | SPREAD | Coming Soon | | 24 | The Complete Map | SYNTHESIS | Coming Soon | ::: --- ## How to Use Lectures Each lecture follows the **Reality → Recognition → Tool** pattern: 1. **Start with the Hook** — A real chemical phenomenon 2. **Recognize the Primitive** — What pattern are you seeing? 3. **Learn the Tool** — The math that captures this pattern 4. **Play with Interactives** — Change parameters, see relationships 5. **Practice until Mastery** — 3 correct in a row --- ::: {.callout-tip} ## Recommended Path New to the course? Start with [Lecture 4: Bonds Point](04-direction.qmd) — it's our most complete lecture and demonstrates the full approach. :::