Elementary Mathematical Modeling
MATH 104, Section 5
Spring Semester 2008
Instructor
| John I. Moore, Jr. | Phone: 843-953-7882 |
| Office: Thompson Hall 230 | E-mail: john.moore@citadel.edu |
Course Description
This course will introduce the student to mathematical models of real world problems. In particular, students will use graphs, functions, and tables to describe data and use the models to interpolate and extrapolate. Functions studied will include linear, quadratic, and exponential. Students will be expected to interpret results in writing and use technology to solve and display results.
Textbook
Mary Ellen Davis and C. Henry Edwards, Elementary Mathematical Modeling: Functions and Graphs (Citadel Edition), Prentice-Hall, 2001.
Also: Course Notes and Handouts
Calculator
TI-83 Plus or TI-84
Grading
The final grade for the course is based on 6 grades as follows:
Miscellaneous Grading Policies
Class Schedule
Tuesday-Thursday, 8:00-9:15 a.m., Thompson Hall 319.
Office Hours
| Monday | 1:00-3:00 p.m. |
| Tuesday | 1:00-3:00 p.m. |
| Wednesday | 10:00-12:00 a.m. |
| Thursday | 1:00-3:00 p.m. |
| Other times by appointment | |
Important Dates
| Jan. 29 | Test 1 (Chapter 1) |
| Feb. 19 | Test 2 (Chapter 2 plus Sections 3.1-3.2) |
| Mar. 5 | Last day to withdraw with a grade of “W” |
| Mar. 11 | Test 3 (Sections 3.3-3.4 plus Chapter 4) |
| Mar. 24-28 | Spring Break (Take book home to study during break!) |
| Apr. 3 | Test 4 (Chapter 5) |
| Apr. 28 | Final Exam at 8:00 a.m. |
Expectations
Daily Schedule
| Dates | Topics Covered |
|---|---|
| Jan. 10 | Section 1.1: Functions and Mathematical Modeling |
| Jan. 15 | Section 1.2: Linear Functions and Graphs |
| Jan. 17 | Section 1.3: Constant Change and Linear Growth |
| Jan. 22 | Section 1.4: Fitting Linear Models to Data |
| Jan. 24 | Section 2.1: Quadratic Functions and Polynomials |
| Jan. 29 | Test 1 (Chapter 1) |
| Jan. 31 | Section 2.2: Quadratic Models and Equations |
| Feb. 5 | Section 2.3: Fitting Quadratic Models to Data |
| Feb. 7 | Section 3.1: Percentage Growth and Interest |
| Feb. 12 | Section 3.2: Solving Growth Problems with Tables and Graphs |
| Feb. 14 | Section 3.3: Natural Growth and Decline in the World |
| Feb. 19 | Test 2 (Chapter 2 plus Sections 3.1-3.2) |
| Feb. 21 | Section 3.4: Fitting Natural Growth Models to Data |
| Feb. 26 | Section 4.1: Compound Interest and Exponential Functions |
| Feb. 28 | Section 4.2: Exponential and Logarithmic Functions |
| Mar. 4 | Section 4.3: Exponential and Logarithmic Data Modeling |
| Mar. 6 | Section 5.1: Solving Polynomial Equations |
| Mar. 11 | Test 3 (Sections 3.3-3.4 plus Chapter 4) |
| Mar. 13 | Section 5.2: Solving Pairs of Linear Equations |
| Mar. 18 | Section 5.3: Linear Systems of Equations |
| Mar. 20 | Section 5.4: Polynomial Data Modeling |
| Mar. 24-28 | Spring Break (Take book home to study during break!) |
| Apr. 1 | Section 6.1: Limited Populations |
| Apr. 3 | Test 4 (Chapter 5) |
| Apr. 8 | Section 6.2: Fitting Logistic Models to Data |
| Apr. 10 | Section 6.3: Discrete Models (first half only) |
| Apr. 15 | Section 7.1: Highs and Lows |
| Apr. 17 | Section 7.2: Applied Maxima and Minima I |
| Apr. 22 | Review/Exam Discussions |
| Apr. 28 | Final Exam at 8:00 a.m. |