Syllabus for Math 31L.13

Laboratory Calculus I
with Environmental Emphasis

Fall 1997

Week 1 Date Topic Reading Activity
W 9/3 Organization pp. xiii-xiv Setting goals
Th 9/4 Learning Maple Lab: Maple Tutorial
F 9/5 Linear Functions 1.1, 1.2 Reading a math book
         
     
                    
         
                    
Week 2 Date Topic Reading Activity
M 9/8 Exponential functions 1.3
W 9/10 Power, inverse functions 1.4, 1.5
Th 9/11 Linear models Guide to
Writing
Lab: Marine Pollution
F 9/12 Logarithmic functions 1.6
         
     
                    
         
                    
Week 3 Date Topic Reading Activity
M 9/15 New functions from old 1.9 Log plots
W 9/17 Polynomial and rational
functions
1.11
Writing day
Th 9/18 Logarithmic plotting Lab: Radioactive Decay
F 9/19 Speed and velocity 2.1
         
     
                    
         
                    
Week 4 Date Topic Reading Activity
M 9/22 Derivative at a point 2.2
W 9/24 Derivative, exp and ln 2.3, 1.7
Th 9/25 Population growth Lab: Limited Population Growth
F 9/26 Interpretations of
derivatives
2.4, 1.7
Suppl.:
1.8
         
     
                    
         
                    
Week 5 Date Topic Reading Activity
M 9/29 Second derivative 2.5
W 10/1 Approximations 2.6
Th 10/2 Lab: Radioactive Wastes
F 10/3 Review Chapters 1, 2
Suppl.:
2.7, 2.8,
App. B
         
     
                    
         
                    
Week 6 Date Topic Reading Activity
M 10/6 Power Rule 4.1, 4.2 Start Take-Home Test 1
W 10/8 Slope fields 9.1, 9.2 Take-Home Test 1 due
Th 10/9 Lab: Slope Fields
F 10/10 Exponential Rules 4.3
         
     
                    
         
                    
Week 7 Date Topic Reading Activity
Fall Break
W 10/15 Euler's Method 9.3
Th 10/16 Euler's Method Lab: Raindrops
F 10/17 Growth and decay 9.5
         
     
                    
         
                    
Week 8 Date Topic Reading Activity
M 10/20 Product Rule 4.4
W 10/22 Chain Rule 4.5
Th 10/23 Newton's Law of Cooling Lab: Fitting Exponential Decay
F 10/24 Trigonometry review 1.10
         
     
                    
         
                    
Week 9 Date Topic Reading Activity
M 10/27 Trigonometric functions 4.6
W 10/29 Applications of Chain
Rule
4.7
Th 10/30 Lab: Time and Temperature
F 10/31 Implicitly defined
functions
4.8 ATC Project
Suppl.:
4.9
         
     
                    
         
                    
Week 10 Date Topic Reading Activity
M 11/3 Separation of variables 9.4
W 11/5 Using derivatives 5.1, 5.2
Th 11/6 Review of differentiation Practice for Gateway Test
F 11/7 Gateway Test
Suppl.:
5.3, 5.4,
5.7
         
     
                    
         
                    
Week 11 Date Topic Reading Activity
M 11/10 Optimization 5.5
W 11/12 More optimization 5.6
Th 11/13 Interacting species Lab: Predator-Prey Models
F 11/14 Review Chapters 4, 5
         
     
                    
         
                    
Week 12 Date Topic Reading Activity
M 11/17 Distance from velocity 3.1 Start Take-Home Test 2;
Car speed worksheet
W 11/19 Definite integral 3.2 Take-Home Test 2 due
Th 11/20 Area approximations Lab: Accumulation
F 11/21 Area and averaging 3.3 Average temperature worksheet
         
     
                    
         
                    
Week 13 Date Topic Reading Activity
M 11/24 Fundamental Theorem 3.4
Thanksgiving Break
         
     
                    
         
                    
Week 14 Date Topic Reading Activity
M 12/1 Antiderivatives 6.3 Start Take-Home part
of Final Exam
W 12/3 Indefinite integrals 6.4
Th 12/4 World population growth Lab: World Population
F 12/5 Modeling 9.6
Suppl.:
9.7, 9.8
         
     
                    
         
                    
Week 15 Date Topic Reading Activity
M 12/8 Summary of the semester
W 12/10 TC Evaluation Take-Home part
of Final Exam due
         
     
                    
         
                    
Week 16 Date Topic Reading Activity
12/18 Final Exam, 7-10 pm In-Class part of Final
Exam
         
     
                    
         
                    


David A. Smith <das@math.duke.edu>

Last modified: November 24, 1997