Table of Contents for Digital Resources

Workbook 01

• 1: Introduction to the Kontinua Sequence
• 2: Matter and Energy
• 3: Conservation of Mass and Energy
• 4: Mass, Weight, and Gravity
• 5: Force, Mass, and Acceleration
• 6: Units and Conversions
• 7: The Greek Alphabet
• 8: Atomic and Molecular Mass
• 9: Work and Energy

Workbook 02

• 1: Chemical Reactions
• 2: Simple Machines
• 3: Buoyancy
• 4: Heat
• 5: Friction

Workbook 03

• 1: Basic Statistics
• 2: Basic Statistics in Spreadsheets
• 3: Introduction to Electricity
• 4: DC Circuit Analysis
• 5: Charge

Workbook 04

• 1: Fertilizer
• 2: Concrete
• 3: Metals
• 4: Angles
• 5: Introduction to Triangles
• 6: Pythagorean Theorem

Workbook 05

• 1: Congruence
• 2: Parallel and Perpendicular
• 3: Circles
• 4: Functions and Their Graphs
• 5: Transforming Functions

Workbook 06

• 1: Trigometric Functions
• 2: Trigonometric Identities
• 3: Volumes of Common Solids
• 4: Conic Sections

Workbook 07

• 1: Falling Bodies
• 2: Kinematics
• 3: Projectile Motion
• 4: Free Body Diagrams
• 5: Vectors
• 6: Momentum

Workbook 08

• 1: Boats
• 2: Sailboats
• 3: Airplanes
• 4: Quadcopters
• 5: Helicopters

Workbook 09

• 1: Atmospheric Pressure
• 2: Cognitive Biases 1
• 3: Solving Quadratics
• 4: Complex Numbers
• 5: Introduction to Sequences

Workbook 10

• 1: Exponents
• 2: Compound Interest
• 3: Logarithms
• 4: Exponential Decay
• 5: Inverse Trigonometric Functions

Workbook 11

• 1: Introduction to Data Visualization
• 2: The Dot Product
• 3: Manufacturing
• 4: Polar Coordinates
• 5: Sound

Workbook 12

• 1: Alternating Current
• 2: Electromagnetic Induction
• 3: Electric Motor
• 4: Drag
• 5: Vector-valued Functions
• 6: Circular Motion

Workbook 13

• 1: Orbits
• 2: Rocketry
• 3: Simulation with Vectors
• 4: Longitude and Latitude
• 5: Tides and Eclipses

Workbook 14

• 1: Electromagnetic Waves
• 2: Reflection
• 3: Refraction
• 4: Lenses

Workbook 15

• 1: How Cameras Work
• 2: How Eyes Work
• 3: Images in Python

Workbook 16

• 1: Introduction to Polynomials
• 2: Python Lists
• 3: Adding and Subtracting Polynomials
• 4: Multiplying Polynomials
• 5: Multiplying Polynomials in Python

Workbook 17

• 1: Differentiating Polynomials
• 2: Python Classes
• 3: Common Polynomial Products
• 4: Factoring Polynomials
• 5: Practice with Polynomials

Workbook 18

• 1: Graphing Polynomials
• 2: Interpolating with Polynomials
• 3: Rational Functions
• 4: Partial Fractions
• 5: Limits

Workbook 19

• 1: Differentiation
• 2: Derivatives
• 3: Rules for Finding Derivatives
• 4: First and Second Derivatives and the Shape of a Function

Workbook 20

• 1: Optimization
• 2: Implicit Differentiation
• 3: Related Rates
• 4: Multivariate Functions and Partial Derivatives

Workbook 21

• 1: Partial Derivatives and Gradients
• 2: Introduction to Linear Algebra
• 3: Vectors and Matrices
• 4: Linear Combinations of Vectors

Workbook 22

• 1: Vector Independence
• 2: Span
• 3: Cross Product
• 4: Applications of Matrices and Systems of Linear Equations
• 5: Matrices

Workbook 23

• 1: Projections
• 2: The Gram-Schmidt Process
• 3: Eigenvectors and Eigenvalues
• 4: Singular Value Decomposition
• 5: Tackling Difficult Problems: Positive Semidefinite Matrices

Workbook 24

• 1: Data Tables and pandas
• 2: Data tables in SQL
• 3: Representing Natural Numbers

Workbook 25

• 1: Making Web Requests with HTTP
• 2: Using and Creating APIs
• 3: Data Compression and Decompression
• 4: Dealing with JSON and XML

Workbook 26

• 1: HTML
• 2: Introduction to Text
• 3: Stop Words
• 4: Stemming and Lemmatization

Workbook 27

• 1: Alphabets and Accents
• 2: Making Plots with matplotlib
• 3: Geographical Data
• 4: Geocoding and Reverse Geocoding

Workbook 28

• 1: Making a Map
• 2: Introduction to Discrete Probability
• 3: Beginning Combinatorics
• 4: Permutations and Sorting

Workbook 29

• 1: Conditional Probability
• 2: Bayes' Theorem
• 3: Antiderivatives
• 4: Riemann Sums

Workbook 30

• 1: Definite Integrals
• 2: The Fundamental Theorem of Calculus
• 3: Arc Lengths
• 4: Continuous Probability Distributions

Workbook 31

• 1: The Physics of Gases
• 2: Kinetic Energy and Temperature of a Gas
• 3: Phases of Matter
• 4: The Piston Engine

Workbook 32

• 1: u-Substitution
• 2: Calculus with Polar Coordinates
• 3: Differential Equations
• 4: Slope Fields

Workbook 33

• 1: Euler's Method
• 2: Sequences in Calculus
• 3: Series
• 4: Convergence Tests for Series

Workbook 34

• 1: Power Series
• 2: Population Proportion Statistics
• 3: The Normal Distribution
• 4: Change of Variables
• 5: Volumes with Integrals

Workbook 35

• 1: Double Integrals over Rectangular Regions
• 2: Double Integrals Over Non-Rectangular Regions
• 3: Applications of Double Integrals
• 4: Multivariate Distributions

Workbook 36

• 1: The Multivariate Normal Distribution
• 2: Numerical Double Integration
• 3: Sets and Logic
• 4: Introduction to Graphs
• 5: Dijkstra's Algorithm
• 6: Binary Search
• 7: Other Graph Algorithms
• 8: Bayesian Classifiers