Note: This schedule will
continue to be a work in process. The readings come from:
Week |
Lecture
Day |
Topic
Reading |
Lab Topic |
1 |
1
M: 8/28 |
- Course introduction, administration, and web page
- Chapra
- Part One: Modeling, Computers, and Error Analysis
- 1 Mathematical Modeling, Numerical Methods, and Problem Solving
|
|
2
F: 9/1 |
Introduction to Programming: Hilton & Bracy's "Seven Steps"
Coursera lesson: Developing an Algorithm (video)
Coursera lesson: A Seven Step Approach to Solving Programming Problems (video) |
2 |
3
M: 9/4
|
Introduction to Python; Numerical Types (int, float, array)
- Chapra
- 2.1 The Spyder/iPython Environment
- 2.2 Assignment
- 2.3 Mathematical Operations
- Other
- RA: 2.1-2.7, 2.10-2.12, 7.1-7.3
|
Introduction to Computing at Duke |
4
F: 9/8 |
Built-in Functions; Formatted printing
- Chapra
- 2.4 Use of Built-In Functions
- 3.1.1 Python Script Files
- 3.2 Input-Output
|
3 |
5
M: 9/11 |
Other Types (strings, lists, tuples) and Graphics
- Chapra
- 2.5 Graphics
- 2.6 Other Resources
- Other
- TP: 8 - Strings (1,2,4,5,8,9,10)
- TP: 10 - Lists (1,2,4,5,6,8,9,10,11)
- TP: 12 - Tuples (1,2,3,4,5,6,7)
|
Introduction to Python; Cantilever Beam
|
6
F: 9/15 |
File I/O and Formatted Printing; Functions
- Chapra
- 3.1.2 Python Functions
- 3.1.3 Python Variable Scope
|
4 |
7
M: 9/18 |
Structured Programming 1
- Chapra
- 3.3.1 Decisions
- 3.3.2 More on Arguments
|
Functions and Scripts |
8
F: 9/22 |
Structured Programming 2
- Chapra
- 3.3.3 Loops
- 3.4 Nesting and Indentation
|
5 |
9
M: 9/25 |
More on Functions
- Chapra
- 3.5.1 Lambda Functions
- 3.5.2 Function Functions
- 3.5.3 Passing Parameters
- TP: 11 - Dictionaries (1,2)
|
Structured Programming I |
10
F: 9/29 |
3D Plotting
|
6 |
11
M: 10/2 |
Coordinate Systems |
3D Plotting |
12
F: 10/6 |
NOTE: Will be asynchronous
Errors 1
- Chapra
- 4.1 Errors
- 4.2 Roundoff Errors
|
7 |
13
M: 10/9 |
Errors 2, Iterative Methods, and Logical Masks
- Chapra
- 4.3 Truncation Errors
- 4.4 Total Numerical Error
- 4.5 Blunders, Model Errors, and Data Uncertainty
|
Structured Programming II |
B
F: 10/13 |
NOTE: Will be asynchronous
Logical Masks and Random Numbers
- Chapra
- 14.2 Random Numbers and Simulation
|
8 |
14
M: 10/16 |
No Class - Fall Break |
TA Office Hours
|
15
F: 10/20 |
Monte Carlo Methods
- Chapra
- 14.2 Random Numbers and Simulation
|
9 |
16
M: 10/23 |
Roots 1
- Chapra
- 5.1 Roots in Engineering and Science
- 5.2 Graphical Methods
- 5.3 Bracketing Methods and Initial Guesses
|
Logical Masks, Random Numbers, and Monte Carlo Methods |
17
F: 10/27 |
Roots 2
- Chapra
- 5.4 Bisection
- 6.1 Fixed-Point Iteration
- 6.3 Newton-Raphson
- 6.5 Brent's Method
- 6.6 brentq
|
10 |
18
M: 10/30 |
Optimization
- Chapra
- 7.1 Introduction and Background
- 7.2 One-dimensional Optimization
- 7.3 Multidimensional Optimization
|
TA Office Hours
|
19
F: 11/3 |
Linear Algebra 1
- Chapra
- 8.1 Matrix Algebra Overview
- 8.2 Solving Linear Algebraic Equations with Python
|
11 |
20
M: 11/6 |
Linear Algebra 2
- Chapra
- 11.1 The Matrix Inverse
- 11.2 Error Analysis and System Condition
|
Minilabs 1-3
Roots
Optimization
Linear Algebra
|
21
F: 11/10 |
Numerical Integration
- Chapra
- 19.1 Introduction and Background
19.2 Newton-Cotes Formulas
19.3 The Trapezoidal Rule
19.4 Simpson's Rules
|
12 |
22
M: 11/13 |
Numerical Differentiation
- Chapra
- 21.1 Introduction and Background
- 21.2 High-Accuracy Differentiation Formulas
- 21.7 Numerical Differentiation with Python
|
Numerical Integration and Differentiation |
23
F: 11/17 |
Object Oriented Programming and Classes in Python |
13 |
24
M: 11/20 |
Object Oriented Programming and Classes in Python |
No lab - Thanksgiving Break |
B
F: 11/24 |
No class - Thanksgiving Break - Office hours will resume Monday 11/27 |
14 |
25
M: 11/27 |
Curve Fitting |
OOP |
26
F: 12/1 |
Curve Fitting, Initial Value Problems |
15 |
27
M: 12/4 |
Initial Value Problems |
Curve Fitting, IVP |
28
F: 12/8 |
Office Hours |
| No exam! |
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