|
Week
|
Lecture Topic | Reading
Assignment | Homework Assignments |
|
1
(1/16-1/20)
|
MLK
Day (no class on Mon, 1/16)
- Introduction
- course information
- numerical
methods
- approximations and errors
- Taylor series
- spreadsheet
basics
| handouts,
PT1.1-PT1.3,
Ch. 1, Ch. 3,
4.1
| Hmwk
0: sign up for the
MECH102-L course Listserv
Hmwk
1
[Ch. 3, 4] counts as 1.5 homeworks
(due Wed, 1/25)
|
|
2
(1/23 - 1/27)
|
special
topic: spreadsheet transmission analysis - MathCAD overview
- basics
- defining and using functions
- graphing and plotting
- vectors
and matrices
- programming
| handouts,
2.6, App. C;
MCAD Ch. 1-3
|
Hmwk 2
[MathCAD]
(you might want to bring
into class a printout of
the
provided
MathCAD file
for adding notes)
counts as 1.5 homeworks
(due Wed, 2/1)
|
|
3
(1/30
- 2/3)
|
special topic: MathCAD billiards path analysis case
study: skydiver dynamics - Roots of Equations
- bracketing
methods
- graphical methods
- bisection method
- false-position
method
| PT2.1-PT2.3,
Ch. 5,
MCAD Ch. 10
|
Hmwk 3
[Ch. 5]
(due Wed, 2/8)
|
|
4
(2/6 - 2/10)
|
- open methods
- fixed-point
iteration
- Newton-Raphson method
- secant method
- multiple
roots
- MathCAD techniques
special topic:
MathCAD billiards pocket size analysis |
6.1-6.3
| Hmwk 4
[Ch.
6]
(due Wed, 2/15)
|
|
5
(2/13
- 2/17)
|
Exam I overview
- Linear Algebraic
Equations
- example
- matrix inverse
- Cramer's rule
- Gauss-Jordan
elimination
case study: truss structural analysis special
topic: exam review session |
PT3.1-PT3.3,
9.1-9.3,
MCAD Ch. 5
| |
|
6
(2/20
- 2/24)
|
- Nonlinear System
of Equations
- Newton-Raphson method
- MathCAD techniques
EXAM
I - Wed, 2/22
special topic: MathCAD matrix tools |
9.6, 9.7 | Hmwk
5
[Ch. 9]
(due Wed, 2/29)
|
|
7
(2/27
- 3/2)
|
- Optimization
- one-dimensional
- Newton's method
- golden-section search
case
study: beam optimization special topic: "Donald in Mathmagic
Land" | PT4.1-PT4.3,
13.1-13.3
| Hmwk
6
[Ch. 13]
(due Wed, 3/7)
|
|
8
(3/5 - 3/9)
|
- multi-dimensional
- steepest ascent gradient method
- MathCAD
techniques
special topic: machine design and beam optimization catch-up
or get-ahead day | Ch. 14,
MCAD Ch. 11
|
Hmwk 7
[Ch. 14]
(due Wed, 3/22)
|
|
9
(3/12
- 3/16)
|
Spring Break (no classes) |
| |
|
10
(3/19 - 3/23)
|
- Curve Fitting
- least-squares regression
- linear
- nonlinear
- polynomial
- MathCAD
techniques
case studies: fitting experimental
mileage and
stress-strain data special topic: billiards throw analysis
and squirt testing | PT5.1-PT5.3,
17.1-17.2 |
Hmwk 8
[Ch. 17]
(due Wed, 3/28)
|
|
11
(3/26 - 3/30)
|
- interpolation
- polynomial
- Lagrange
polynomial
- general polynomial coefficients
- MathCAD techniques
special topic: cam kinematics |
18.1-18.5
|
Hmwk
9
[Ch. 18]
(due Wed, 4/4)
|
|
12
(4/2
- 4/6)
|
Exam II overview
- Fourier approximation
- Fourier series
- frequency and time domains
case
study: music and vibrations special topic: exam review
session |
19.1-19.3 | |
|
13
(4/9 - 4/13)
|
EXAM II -
Mon, 4/9
- Numerical Integration
- Trapezoid rule
- Simpson's rule
E-Days (no class on Fri, 4/13) |
PT6.1-PT6.3,
21.1-21.2
| Hmwk
10
[Ch. 19, 21, 23] counts as 2 homeworks
(due Wed, 4/18)
|
|
14
(4/16 - 4/20)
|
- Numerical
Differentiation
- Ordinary Differential Equations
- MathCAD techniques
- Euler's method
- Heun and midpoint methods
case study: realistic pendulum
special
topic: "High-Speed Video Magic" |
23.1
PT7.1-PT7.3,
25.1-25.3
| |
|
15
(4/23 - 4/27)
|
- Runge-Kutta method
- systems
of equations
- MathCAD techniques
special topic: engineering
video demos |
25.4
| Hmwk
11
[Ch. 25]
counts as 2 homeworks
(due Wed, 5/2)
|
|
16
(4/30 - 5/4)
|
Final
Exam overview
- Boundary-value Problems
- finite difference methods
- MathCAD
techniques
case studies: beam deflection and heat
fin special topic: exam review session |
27.1
| |
| |
FINAL
EXAM (in same room as lectures)
Section 1 (MWF 12-12:50 pm): Tue, 5/8, 4:10-6:10 pm
Section 2 (MWF 3-3:50 pm): Wed, 5/9, 9:40-11:40 am |
| |