M 315C/M375T-Foundations, Functions, and Regression Models
Spring 2011 MWF 10-11 AM #55930/56415 PAI 4.18
Dr. Mark Daniels - Instructor
Email
[email protected]
Office: RLM 10.114
512-232-5767
FAX
512-232-1491
Office hours: Email/call for appt. or try dropping by, M or F 11-12 PM
Natalie Shannon:Teaching Assistant email: [email protected]
Course Prerequisite: Calculus concurrently or completed
Course Materials: a TI 83/84 calculator is optional (but if you have one bring it!), an
open mind, creativity, and enthusiasm for learning, there is no textbook for this course so
bring a large notebook
Attendance Policy:
Since a majority of this work hinges on group work done during the class time,
attendance is of utmost importance. Therefore, attendance is extremely important and
you are expected be in class each and every day. Two points will be deducted for each
absence. If you contact your instructor before the class begins, only one point will be
deducted. One point will be deducted for each tardy after the first. If you leave class
early or consistently choose not to participate, points will be deducted. *Regarding
consistent absences, I reserve the right to lower your grade by one letter or fail you for
excessive absences.
.
Grading Policy:
Tests
45 %
Written Assignments/Labs/Homework
20 %
Attendance /Engagement and Contribution
10 % (* or more – see above)
Midterm Project
10 %
Final
15 % (on Friday, May 13 9-12PM)
Total: 100 %
Final Grades will be determined by:
90-100 pts
A
80-89 pts
B
70-79 pts
C
65-69 pts
D
<65 pts
F
Late Work
In general, late work will not be accepted. One half of the assigned points will be
deducted for work that is submitted after the due date if there is a legitimate excuse.
Major Topics:
Functions and Relations
Qualitative Graphing
Sequences/Patterns – Function Patterns
Mathematical Modeling - Data, & Regression, Matrices
Polar & Parametric Relations
Complex Numbers and Properties
Exponential growth and Decay Models
Course Objectives
In revisiting secondary mathematics, prospective mathematics teachers are expected to:
- Deepen and broaden function-related mathematical content knowledge from Algebra
through Calculus by exploring relevant topics in an inquiry based learning situation.
- Make connections between college mathematics and secondary school mathematics;
- Build preliminary knowledge of professional and state mathematics curriculum
standards;
- Use reflective and collaborative learning, and develop a stronger sense of
professionalism and leadership;
- Create efficient seekers of content knowledge;
- Explore and learn appropriate use of technology in the mathematics classroom
Tests/Labs/Homework:
There will be frequent homework assignments, labs, and exams to test your knowledge of
the concepts we are currently discussing in class. Tests and labs will be in class;
homework needs to be finished outside of class time. You are expected to enhance
classroom discussion with extended research of topics outside of the classroom. YOU
ARE RESPONSIBLE FOR KNOWING ALL TECHNOLOGY TECHNIQUES
PRESENTED IN CLASS.
Midterm Project SP11
You will explore the beauty of mathematics. Details will be given later.
Final Project: ONLY FOR THOSE IN M375T:
This project is designed to give you an opportunity to make sense of all that we have
talked about. The grade for this project will be averaged with your final test grade.
Details will be given later._________________________________________________
Quick Grade Tracker:
1. Test Grades: _____, _____, _____ Total = _____
Average = _____ Average X 45% = _____
2. HmWk, Writing, Labs: _____, _____, _____, _____, _____, _____, _____, _____, _____, _____,
_____, _____, Total = _____ Average = _____ Av. X 20% = _____
3. Attendance/Participation – 10 pts possible = _____
4. Midterm Project ____ X 10% = ______
5. Final : = _____ X 15% = _____
4. FINAL GRADE FOR THE COURSE: Total of Final Points from 1-5 above = ___
For Students with Disabilities:
The University of Texas at Austin provides upon request appropriate academic accommodations for
qualified students with disabilities. For more information, contact the office of the Dean of Students
at 471-6259, 471-4641.
Foundations,Functions, and Regression Models
Course Outline_SP 2011_#55930/56415
Due to the “open forum” aspect of this class, this is a tentative outline and may be
adjusted at any time during the semester.
DAY
TOPIC OR ACTIVITY
st
1 Day Handouts.
Prob solving - Conundrum.
1
2
Connections 1. Definition of Function.
UNIT 1 Functions and Patterns
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
FINAL
Function Sorting Activity.
Writing - Def. Of Function.
3 Definitions of Function.
Parabola Roots Exploration.
Finding Roots Prob. Continued.
A qualitative look at ‘rate of change’ of f .
Conic Sections.
Homework 1
Conic Sections - continued
Spring Mass Lab
Spring Mass Lab - continued Homework 1 Due
Sequences. Triangular Differences Activity Homework 2
Triangular Differences continued.
Functions as Sequences (i.e. Function Patterns)
Functions Patterns Exploration
Exponential Growth and Decay Homework 2 Due
UNIT 2 Modeling Using Regression and Matrices
Modeling Functions from data: Thunder Storms, Charles Law, and Linear
Regression
Modeling Functions from data. More regression.
Midterm Assignment - Due Date TBA
Residuals.
TEST 1
Terminal Velocity Lab Homework 3
Terminal Velocity Lab - continued
Modeling Functions from Data: Data with Matrices
Modeling Functions from Data: Standard Forms Homework 3 Due
Roller Coaster Exploration
UNIT 3 Exploring Functions in Other Systems
Parametric models Midterm Assignment Due
TEST 2
Parametric Exploration Problems
Vector Lab Homework 4
Vector Lab - continued
The Golf Shot.
The Golf Shot - continued.
Polar Coordinate System
Geometry of Complex Numbers Homework 4 Due
TEST 3
Geometry of Complex Numbers continued
Polar Complex - Euler Numb
Euler Numbers
Polar Complex Numbers and Roots
Wrap-up
Comprehensive Final - Friday, May 13, 9-12 PM
Foundations,Functions, and Regression Models
Course Outline_SP 2011_#55930/56415
Due to the “open forum” aspect of this class, this is a tentative outline and may be
adjusted at any time during the semester.