Mat127/Calculus A (BioCalculus) Assignments-Fall 2015

Note: "tba" in a Due Date reference means "to be announced"

Assignment 0

Carefully read all sections of my web page for this course, particularly the grading policy.

.....due 8-26-2015 .....

Note: Specific due dates in some cases are for reference only

and should be used to keep your study habits/plans on track

Assignment 1 Prologue: Mathematics and Biology

& Case Studies in Mathematical Modeling

.....Read pages xxxiii to xlvii for general appreciation (not complete understanding)

...............Due 8-26-2015...............

Assignment 2 (Course Prerequisites)

Diagnostic Tests

.....Take and self-grade Diagnostic Test A:Algebra

.....Take and self-grade Diagnostic Test B:Analytic Geometry

...............Due 8-26-2015...............

.....Take and self-grade Diagnostic Test C:Functions

.....Take and self-grade Diagnostic Test D:Trigonometry

...............Due 8-27-2015...............

.....Begin your Homework Portfolio

.....as described in the grading policy for the course

.....including Cover Page and beginning of Table of Content

.....and bring to class (for inspection) on 8-27-2015

...............Due 8-27-2015...............

Assignment 3

Chapter 1: Functions and Sequences

.....Read Section 1.1:Four Ways to Represent a Function

.....work homework problems of your choice (but at least 1 to 8 and 10)

...............Due 8-31-2015...............

.....Read Section 1.2:A Catalog of Essential Functions

.....work homework problems of your choice (but at least 1 to 10)

...............Due 8-31-2015...............

.....Read Section 1.3:NewFunctions from Old Functions

.....work homework problems of your choice (but at least 1 to 3)

...............Due 9-2-2015...............

.....Read Section 1.4:Exponential Functions

.....work homework problems of your choice (but at least 1 to 8)

...............Due 9-2-2015...............

.....Read Section 1.5:Logarithms: Semilog and Log-Log Plots

.....work homework problems of your choice (but at least 1 to 14)

...............Due 9-3-2015...............

.....Read Section 1.6:Sequences and Difference Equations

.....work homework problems of your choice (but at least the odd problems from 1 to 23)

...............Due 9-3-2015...............

Assignment 4

Chapter 2: Limits

.....Read Section 2.1: Limits of Sequences

.....work problems 37 and 38 page 100

...............Due 9-15-2015...............

.....Read Section 2.2: Limits of Functions at Infinity

.....work problem 31 page 110

...............Due 9-15-2015...............

.....Read Section 2.3: Limits of Functions at Finite Numbers

.....use Mathematica to work problems 40 page 124

...............Due 9-15-2015...............

.....Read Section 2.4: Limits: Algebraic Methods

.....work problem 46 page 136

...............Due 9-17-2015...............

.....Read Section 2.5: Continuity

.....work problem 51 page 149

...............Due 9-17-2015...............

Assignment 5

Chapter 3: Derivatives

.....Read Section 3.1: Derivatives and Rates of Change

.....work problems 36 and 38 page 167

...............Due 9-15-2015...............

.....Read Section 3.2: The Derivative as a Function

.....work problems 36 page 180

...............Due 9-22-2015...............

.....Read Section 3.3: Basic Differentistion Formulas

.....work problems 49 page 193

...............Due 9-22-2015...............

.....Read Section 3.4: The Product and Quotient Rules

.....work problems 58 page 203 (Use Mathematica for the graph)

...............Due 9-23-2015...............

.....Read Section 3.5: The Chain Rule

.....work problems 61 page 213 (Use Mathematica for the graph)

...............Due 9-23-2015...............

.....Read Section 3.6: Exponential GGrowth and Decay

.....Webassign homework only

...............Due 10-7-2015...............

.....Read Section 3.7: Derivative og Log and Trig Functions

......work problem 30 page 229

...............Due 10-8-2015...............

.....Read Section 3.8: Linear Approximations only

......work problem 5 page 237 (Use Mathematica to draw the graph)

...............Due 10-9-2015...............

((((((((((Start of material for Test #2)))))))))))))))

Assignment 6

Chapter 4: Applications of Derivatives

.....Read Section 4.1: Maximum and Minimum Values

.....work problems 59 and 60 page 258

...............Due 10-19-2015...............

.....Read Section 4.2: How Higher Derivatives Affect the Shape of the Graph

.....work problems 63 and 66 page 274

...............Due 10-19-2015...............

.....Read Section 4.3: L'Hospital's Rule

.....work problem 54 page 284

...............Due 10-21-2015...............

.....Read Section 4.4: Optimization Problems

.....work problem 23 page 295

...............Due 10-23-2015...............

.....Read Section 4.6: Antiderivatives

.....work problems 41 and 47 page 311

...............Due 10-23-2015...............

Assignment 5

Chapter 5: Integrals

.....Read Section 5.1: Areas

.....work problem 6 page 327 (Use Mathematica for the graph)

...............Due 11-2-2015...............

.....Read Section 5.2: The Definite Integral

.....work problems 16, 38, 42, & 45 page 341

...............Due 11-3-2015...............

.....Read Section 5.3: The Fundamental Theorem of Integral Calculus

.....work problems 29, 30, 43, & 44 page 351

...............Due 11-4-2015...............

.....Read Section 5.4: The Substitution Rule

.....work problems 12, 16, 22, 37, 38, 41, 45 & 49 page 361

...............Due 11-5-2015...............

.....Read Section 5.5: Integration by Parts

.....work problems 5, 11, 15, 20, 29 & 31 page 367

...............Due 11-6-2015...............

((((((((((End of material for Test #2)))))))))))))))

.....Read Section 5.6: Partial Fraftions

.....work problems 12, 13, 19 & 21 page 370

...............Due 11-18-2015...............

.....Read Section 5.7: Integration and Differentiation Using a Computer Algebra System

.....Use Mathematica to work problem 16 page 272

.....Use Mathematica to work problem 8 page 293

.....Use Mathematica to work problem 25 page 350

.....Use Mathematica to work problem 43 page 351

.....Use Mathematica to work problem 19 page 367

.....Use Mathematica to work problem 13 page 371

...............Due 11-19-2015...............

.....Read Section 5.8: Improper Integrals

.....work problems 7, 9, 11 & 13 page 380

...............Due 11-30-2015...............

Assignment 6

Chapter 6: Applications of Integrals

.....Read Section 6.1: Area Between Curves

.....work problems 3, 4 & 5 page 392

...............Due 11-30-2015...............

.....Read Section 6.2: Average Values

.....work problems 3, 4 & 5 page 398

...............Due 11-30-2015...............

.....Read Section 6.3: Further Applications to Biology

.....work problems 1(as ammended in clas), 2 & 5 page 404

...............Due 11-30-2015...............

End of material for Homework Portfolio

.....Read Section 6.4: Volumes

.....work problems 1, 5 & 9 page 411

...............Due 12-4-2015...............

Last Updated 12-1-2015