MANE 3351
Lecture 17
Classroom Management
Agenda
- Numerical Differentiation
- Test 2
- Lab Assignment 8
Resources
Handouts
Calendar
| Lecture/Lab | Date | Topic |
|---|---|---|
| 10/28 | Numerical Differentiation (not on Test 2) | Lab 8 |
| 10/30 | Linear Algebra, part 2 (not on Test 2) | Lab 8, continued |
| 11/4 | Linear Algebra, part 1 (not on Test 2) | Lab 9 |
| 11/6 | Test 2 (Root Finding and Numerical Integration) | No Lab |
Test 2
- Content
- Lectures 8 - 16 (9/23 - 10/23)
- Homeworks 3 - 5
- You are allowed one 4 inch by 6 inch notecard
- Calculator needed
- Previous test provided above
Lecture Topics
- Lecture 8 - Root Finding, Bisection lecture
- Lecture 9 - Bisection Method Error Analysis, False Position Method
- Lecture 10 - No lecture - Test 1
- Lecture 11 - Newton's Method
- Lecture 12 - Secant Method
- Lecture 13 - Numerical Integration, Trapezoid Rule
- Lecture 14 - Simpson's 1/3 Rule, Simpson's 3/8 Rule
- Lecture 15 - Romberg Integration
- Lecture 16 - Gaussian Integration
Derivatives
You are responsible for calculating the following derivatives:
- Polynomial: \(ax^3+bx^2+cx+d\) (arbitrary power)
- \(a\sin(bx)\)
- \(a\cos(bx)\)
- \(ae^{bx}\)
- \(a\ln(bx)\)
- Product Rule: \(\frac{d}{dx}f(x)g(x)=f(x)g^\prime(x)+f^\prime(x)g(x)\)
Lecture 17
The topic for Lecture 17 is numerical differentiation. This topic will NOT be on Test 2 and the material is taken from the Chapra and Canale textbook
Forward finite-divided-difference formulas
Backward finite-divided-difference formulas
Centered finite-divided-difference formulas
Example Problem
