MA132 – Computational Mathematics for the Life and Management Sciences * NOT PUBLISHED
NCSU Math 132 Fall 2017
This one credit course will introduce life and management science students to current computing tools which are important to their major areas of study. Many applications will be given involving fitting of data, differential equations, and optimization in two or more variables. The prerequisites are at least a C grade in the first semester of calculus such as MA 121 or 131.
Goals
You will
 learn basic ways of working with data and mathematical models
 become competent at using spreadsheets and computer algebra systems (Excel and Maple)
 solidify your understanding of the concepts in Calculus
 apply your knowledge to realworld problems
Prerequisites
C or better in MA 121 or 131. The odds are pretty good that nobody remembers everything learned in Calculus, so keep a copy of a Calculus book handy for review of the concepts.
The computing tools will be the Excel spreadsheet and Maple computer algebra system. These tools will be used to illustrate the basic concepts in the first course in calculus for the life and management science students. Lessons will be available online (pdf and html files) and homeworks will be assigned, collected, and graded via WebAssign.
Class will be held in Cox 110
Section 1 meets MW 9:5011:20 Section 2 meets TTh 9:5011:20
You can also get help in SAS 2103/2105 the Math Multimedia Center 85pm MTH and 85 on Fri.
Instructors: Evan North
Office Hours: Tuesday and Thursday from 2pm – 3pm.
Grading Policy
Homeworks
Frequently Asked Questions
Run Maple using VCL
Courtesy – Open newspapers are rude and disruptive in any class. Phones should be off. Please understand that food and drink are unwelcome in the computer classroom.
MA 132 Schedule for Fall 2017
date 
lesson 
major concepts 
major or new tools 
Getting Started  course mechanics  browser
laptop classroom Excel Maple 

Lesson 1: Declining Prices, Profits and Graphing 
graph of a functionmax/minsuits example 
· Excel: series
· Maple: diff, solve, plot 

Lesson 2: Price Data and Trendlines  data fitting
least squares 
· Excel: trendline  
Lesson 3: Price Data for Two Markets and Linear Estimation 
functions of 2 variablesdata fitting in 2 variables 
· Excel: linest
· Maple: pointplot3D 

Lesson 4: Property Appraisal and Linear EstimationIntroduction to Maple 
functions of several variablesbest fits without graphing 
· Excel: linest
Maple: exact arithmetic, plot, solve 

Feb 910  Lesson 5: Savings Plans and FirstOrder Finite Differences 
finite difference equationsfinancial modelingexact solution to difference equations 
· Excel: series
· Maple: subs, solve 
Lesson 6: Loans and First Order Finite Differences 
finite difference equationsexact solution of a linear difference equation 
· Excel: series
· Maple: solve, subs 

Lesson 7: Cooling Model and Euler Finite Difference Method Maple worksheet 
·physical modeling
·differential equation ·closedform ·equilibrium 
·Excel: series
·Maple: solve, dsolve 

Lesson 8: Population Models and Exponential Functions 
·population modeling
·differential equations ·closedform ·exponential growth 
·Excel: trendline ·Maple: dsolve 

Lesson 9: Population Models and the Spread of Rumors 
population models
logistic growth closedform equilibrium 
· Maple: dsolve, DEplot  
Lesson 10: Minimum cost of a display areaand derivatives 
optimization (max/min)
constraint max/min by 
· Excel: series
· Maple: diff, solve 

Lesson 11: Profit from 2 markets and partial derivativesMaple Worksheet 
multivariate optimization  · Excel: solver
· Maple: diff, solve · Maple: plot3d, contourplot 

Apr 67  Lesson 12: Alcohol Breath Testing and Least Squares Data Fitting 
least squares
critique of 
· Excel: solver
· Maple: subs, plot 
Lesson 13: Population Growth: Raleigh and Wake County 
population models
closed form logs 
· Excel
· Maple: dsolve 

Lesson 14: Population Growth: the World 
population models
logs closed form critique and revision 
· Excel: trendline
· Maple: dsolve 