MOSAIC Calculus: Workbook
Block V Dynamics
Chap 45 Review
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 R
2
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
Block V Dynamics
Chap 45 Review
Chap 45 Review
45-review.rmarkdown
Collect your answers
No answers yet collected
46
Eigenvalues, eigenvectors
Chap 45 Exercises