bookSHelf — Student Resources

Calculus Volume 13 chapters · 16 sections · under construction

After OpenStax. Limits to integrals, with manim-animated section openers.

Chapter 1: Functions and Graphs5

SectionSlides
1.1 Review of Functions—
1.2 Basic Classes of Functions—
1.3 Trigonometric Functions—
1.4 Inverse Functions—
1.5 Exponential and Logarithmic Functions—

Chapter 2: Limits5

Chapter 3: Derivatives2

Other4

Introduction to Stats14 chapters · 80 sections

After OpenIntro. Data through inference; currently surfacing the linear-regression chapter.

Chapter 1: Sampling and Data5

Chapter 2: Descriptive Statistics8

Chapter 3: Probability Topics7

Chapter 4: Random Variables6

Chapter 5: The Normal Distribution3

Chapter 6: The Central Limit Theorem4

SectionSlides
6.1 The Central Limit Theorem for Sample Means (Averages)—
6.2 The Central Limit Theorem for Sums—
6.3 Using the Central Limit Theorem—
6.4 Central Limit Theorem (Pocket Change)—

Chapter 7: Confidence Intervals4

SectionSlides
7.1 A Single Population Mean using the Normal Distribution—
7.2 A Single Population Mean using the Student t Distribution—
7.3 A Population Proportion—
7.4 Confidence Interval (Home Costs)—

Chapter 8: Hypothesis Testing with One Sample6

Chapter 9: Hypothesis Testing with Two Samples4

Chapter 10: The Chi-Square Distribution8

SectionSlides
10.1 Facts About the Chi-Square Distribution—
10.2 Goodness-of-Fit Test—
10.3 Test of Independence—
10.4 Test for Homogeneity—
10.5 Comparison of the Chi-Square Tests—
10.6 Test of a Single Variance—
10.7 Lab 1: Chi-Square Goodness-of-Fit—
10.8 Lab 2: Chi-Square Test of Independence—

Chapter 11: Linear Regression and Correlation9

SectionSlides
11.1 Linear Equations—
11.2 Scatter Plots—
11.3 The Regression Equation—
11.4 Testing the Significance of the Correlation Coefficient—
11.5 Prediction—
11.6 Outliers—
11.7 Regression (Distance from School)—
11.8 Regression (Textbook Cost)—
11.9 Regression (Fuel Efficiency)—

Chapter 12: F Distribution and One-Way ANOVA4

SectionSlides
12.1 One-Way ANOVA—
12.2 The F Distribution and the F-Ratio—
12.3 Facts About the F Distribution—
12.4 Test of Two Variances—

Appendix A: Additional Sections5

Appendix B: Additional Labs6

Other1

SectionSlides
Introduction to Statistics—

Business Numbers4 chapters · 18 sections · under construction

After OpenStax and the IRS. Choosing a legal structure, keeping records, and reading your own financials.

Chapter 1: Choosing a Legal Structure6

Chapter 2: Registering the Business & Setting Up Recordkeeping4

SectionSlides
2.1 Legally Starting a Business—
2.2 Separating Business and Personal Finances—
2.3 Basic Bookkeeping Systems—
2.4 Recordkeeping Requirements—

Chapter 3: Reading Your Own Financial Statements5

SectionSlides
3.1 Course orientation and the role of accounting theory in small business decision-making—
3.2 The Income Statement—
3.3 The Balance Sheet—
3.4 The Statement of Cash Flows—
3.5 Financial Ratio Analysis—

Chapter 4: Small Business Taxation2

SectionSlides
4.1 Ordinary and Necessary Business Expenses—
4.2 Depreciation Basics—

Other1

SectionSlides
Business Numbers—

Introduction to Programming9 chapters · 42 sections

JavaScript from variables to error handling, with editors you can type into and run on the page.

Chapter 1: Foundations5

Chapter 2: Control Flow5

Chapter 3: Functions and Data8

SectionSlides
3.1 Functions: Definition and Calls—
3.2 Parameters and Return Values—
3.3 Arrays—
3.4 Function Expressions and Arrow Functions—
3.5 Objects and Properties—
3.6 Functions: Pass by Value/Reference—
3.7 Array Methods—
3.8 Saving and Loading Data—

Chapter 4: Synthesis Project - Print Shop1

SectionSlides
4.1 Print Shop — Q1 Synthesis—

Chapter 5: moSHion Foundations4

Chapter 6: Game Mechanics9

Chapter 7: Synthesis Project - Arcade Cabinet1

SectionSlides
7.1 Arcade Cabinet — Q2 Synthesis—

Chapter 8: JSCAD Foundations5

SectionSlides
8.1 Libraries and JSCAD Introduction—
8.2 2D Shapes and Transforms—
8.3 Boolean Operations in 2D—
8.4 Parameters and getParameterDefinitions—
8.5 Arrays in JSCAD / Loops—

Chapter 9: 3D Modeling4

Integrated Math 12 chapters · 11 sections

After MVP and OpenStax. Functions, data, and geometry taught together, opening with a foundations chapter.

Chapter 0: Foundations5

Chapter 1: Functions6