MOSAIC Calculus: Workbook

Block I Modeling
16 Models and the scientific method

Preface
Preliminaries
- 1 Quantity, function, space
- Chap 1 Review
- Chap 1 Exercises
- 2 Notation
- Chap 2 Review
- Chap 2 Exercises
- 3 Computing with R
- Chap 3 Review
- Chap 3 Exercises
- 4 Visualizing functions
- Chap 4 Review
- Chap 4 Exercises
- 5 Pattern-book functions
- Chap 5 Review
- Chap 5 Exercises
- 6 Describing functions
- Chap 6 Review
- Chap 6 Exercises
- 7 Data, functions, graphics
- Chap 7 Review
- Chap 7 Exercises
Block I Modeling
- 8 Parameters
- Chap 8 Review
- Chap 8 Exercises
- 9 Assembling functions
- Chap 9 Review
- Chap 9 Exercises
- 10 Functions with multiple inputs
- Chap 10 Review
- Chap 10 Exercises
- 11 Fitting function features
- Chap 11 Review
- Chap 11 Exercises
- 12 Low-order polynomials
- Chap 12 Review
- Chap 12 Exercises
- 13 Operations on functions
- Chap 13 Review EMPTY
- Chap 13 Exercises
- 14 Magnitude
- Chap 14 Review
- Chap 14 Exercises
- 15 Dimensions and units
- Chap 15 Review
- Chap 15 Exercises
- 16 Models and the scientific method
- Chap 16 Review
- Chap 16 Exercises
- Block I Modeling projects
Block II Differentiation
- 17 Continuous change
- Chap 17 Review
- Chap 17 Exercises
- 18 Rate of change
- Chap 18 Review
- Chap 18 Exercises
- 19 Evanescent h
- Chap 19 Review
- Chap 19 Exercises
- 20 Constructing derivatives
- Chap 20 Review
- Chap 20 Exercises
- 21 Concavity and curvature
- Chap 21 Review
- Chap 21 Exercises
- 22 Continuity and smoothness
- Chap 22 Review
- Chap 22 Exercises
- 23 Derivatives of assembled functions
- Chap 23 Review
- Chap 23 Exercises
- 24 Optimization
- Chap 24 Review
- Chap 24 Exercises
- 25 Partial change and the gradient vector
- Chap 25 Review
- Chap 25 Exercises
- 26 Local approximations
- Chap 26 Review
- Chap 26 Exercises
- 27 Polynomials
- Chap 27 Review
- Chap 27 Exercises
- Differentiation projects
Block III Linear Combinations
- 28 Vectors
- Chap 28 Review
- Chap 28 Exercises
- 29 Linear combinations of vectors
- Chap 29 Review
- Chap 29 Exercises
- 30 Projection and residual
- Chap 30 Review
- Chap 30 Exercises
- 31 The target problem
- Chap 31 Review
- Chap 31 Exercises
- 32 Statistical modeling and R²
- Chap 32 Review
- Chap 32 Exercises
- 33 Change & accumulation
- Chap 33 Review
- Block 3 Models
Block IV Accumulation
- Chap 33 Exercises
- 34 Totaling the little bits
- Chap 34 Review
- Chap 34 Exercises
- 35 Integration
- Chap 35 Review
- Chap 35 Exercises
- 36 Functions as vectors
- Chap 36 Review
- Chap 36 Exercises
- 37 Integrals, step-by-step
- Chap 37 Review
- Chap 37 Exercises
- 38 Symbolic anti-differentiation
- Chap 38 Review
- Chap 38 Exercises
- Block 4 Models
Block V Dynamics
- 39 Differential equations
- Chap 39 Review
- 40 In draft
- 41 Finding a “solution”
- Chap 40 Review
- Chap 40 Exercises
- 42 Flows on the line
- Chap 41 Review
- Chap 41 Exercises
- 43 Flows on the plane
- Chap 42 Review
- Chap 42 Exercises
- 44 Modeling dynamics
- Chap 43 Review
- Chap 43 Exercises
- 45 Equilibrium and transient
- Chap 44 Review
- Chap 44 Exercises
- 46 Eigenvalues, eigenvectors
- Chap 45 Review
- Chap 45 Exercises
- 47 Force-balance equations
- Chap 46 Review
- Chap 46 Exercises
- 142Z Project 2: Dynamics
Block VI Manifestations
- 48 Operations on functions
- Chap 47 Review
- Chap 47 Exercises
- 49 Data-driven functions
- Chap 48 Review
- Chap 48 Exercises
- 50 Optimization and constraint
- Chap 49 Review
- Chap 49 Exercises
- 51 Probability and evidence
- Chap 50 Review
- Chap 50 Exercises
- 52 Present and future value
- Chap 51 Review
- Chap 51 Exercises
- Block 6 Models

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Block I Modeling
16 Models and the scientific method

16 Models and the scientific method

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What is a residual?

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Chap 15 Exercises

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