MA 2550: Calculus I

Fall 2008



Dana Ernst


Assistant Professor
Department of Mathematics
Plymouth State University
MSC 29, 17 High Street
Plymouth, NH 03264-2943


Office: Hyde 312
Office Hours: 1:30--2:30 pm MWF (or by appointment)
Email: dcernst [at] plymouth [dot] edu
Web Page: http://oz.plymouth.edu/~dcernst

About the picture: That's me walking the ridge between Mount Audubon and Paiute Peak in the Indian Peaks, CO.

“Mathematics, rightly viewed, possesses not only truth, but supreme beauty.”  -  Bertrand Russell


Announcements

HW 1:  2 parts (Due 5 pm on Fri, Sep 5)
  1. Stop by my office and say "hello."  If I'm not there, then leave a note.
  2. Send me an email telling me something interesting about yourself.
HW 2:  Complete Diagnostic Tests A and B (skip B, #4ef); see pages xxiv--xxvi  (Due Mon, Sep 8)

HW 3:  Complete Diagnostic Test C (Due Wed, Sep 10)

HW 4:  Complete Diagnostic Test D (Due Fri, Sep 12)

HW 5:  Section 2.2: #1, 2, 7, 9, 10, 12, 13, 14, 27  (Due Mon, Sep 15)

HW 6:  Section 2.3: #1, 2, 10, 11, 13, 16, 21, 22, 36, 37, 46  (Due Wed, Sep 17)

HW 7:  Section 2.4 (part 1):  #1, 2, 3, 4, 13a  (Due Mon, Sep 22; revised due date)

HW 8:  Section 2.4 (part 2):  #17, 21, 23, 30, 39  (Due Tues, Sep 23; revised due date)

HW 9:  Section 2.5:  #5, 7a, 9, 19, 32, 33, 38, 41, 47, 49  (Due Wed, Sep 24)

HW 10:  Section 3.1:  #3ab, 5, 11, 12, 13, 17, 18a, 25, 28  (Due Fri, Sep 26)

HW 11:  Section 3.2:  #1, 3, 4, 7, 9, 17, 26, 36, 39, 41  (Due Mon, Sep 29)

Exam 1:  Tuesday, Sep 30

HW 12:  Section 3.3:  #3, 5, 6, 9, 12, 14, 19, 27, 34, 39, 49, 89, 97  (Due Fri, Oct 3)

HW 13:  Look over your exam and write up an assessment of your performance, understanding, and study techniques.  What can you change to improve?  What is working?  (Due Mon, Oct 6 by 5 pm)

HW 14:  Section 3.4:  #1, 2, 9, 10, 15, 18, 21, 22, 33, 37, 39, 42  (Due Wed, Oct 8)

HW 15:  Section 3.5:  #5, 6, 9, 21, 23, 36, 39, 51, 53, 65, 80  (Due Tues, Oct 14)

HW 16:  Section 3.6:  #1, 5, 8, 13, 15, 20, 25, 30, 35  (Due Wed, Oct 15)

HW 17:  Section 3.8:  #2, 5, 6, 13, 15, 18a, 27, 39  (Due Fri, Oct 17)

HW 18:  Section 3.9:  #1, 3, 5, 15, 18, 19, 23, 24, 31a, 34  (Due Wed, Oct 22)

HW 19:  Section 4.1:  #1, 5, 7, 10, 13, 35, 40, 47, 52, 53, 55  (Due Fri, Oct 24)

HW 20:  Section 4.2:  #1, 4, 5, 11, 14, 15, 32, 33  (Not collected, but is covered on Exam 2)

Exam 2:  Tuesday, Oct 28

HW 21:  Section 4.3:  #1, 3, 5, 7, 9, 12, 13, 15, 16, 21  (Due Tues, Nov 4)

HW 22:  Section 4.4:  #2, 3, 9, 11, 14, 17, 18, 22, 29, 55a  (Due Wed, Nov 5)

HW 23:  Section 4.5 (Part 1):  #5, 13, 14, 23, 27, 31 (for 31, just sketch graph on interval [-2pi, 2pi])  (Due Fri, Nov 7)

HW 24:  Section 4.5 (Part 2):  #43, 46, 47, 51, 56  (Due Tues, Nov 11 Wed, Nov 12)

HW 25:  Section 4.7:  #3, 7, 11, 12, 17, 21, 33  (Due Fri, Nov 14)

HW 26:  Section 4.9:  #27, 43, 45, 51  AND  Section 5.4:  #1, 2, 5, 6, 7, 8, 11, 14  (Due Tues, Nov 18)

HW 27:  Section 5.1:  #3a, 4a, 5ab, 11, 17, 18, 20, 21  (Due Wed, Nov 19)

HW 28:  Section 5.2:  #19, 21, 23, 26, 36, 39, 49, 53  (Due Fri, Nov 21)

HW 29:  Section 5.3:  #5, 7, 13, 19, 23, 24, 25, 26, 29, 31, 55ab  (Due Tues, Nov 25)

Exam 3:  Tuesday, Nov 25

HW 30:  Section 5.5:  #3, 6, 9, 17, 21, 22, 29, 37, 38, 43, 57  (Due Tues, Dec 2)

HW 31:  Section 6.1 (part 1):  #1, 3, 5, 9, 13, 14, 16, 17, 21  (Due Wed, Dec 3)

HW 32:  Section 6.1 (part 2):  #44, 45  (Due Fri, Dec 5)

HW 33:  Section 6.2:  #3, 8, 9, 11, 16; set up but do not evaluate #19, 22, 27, 28, 29  (Due Tues, Dec 9)

HW 34:  Section 6.3:  #3, 5, 11, 15, 18, 27, 38, 39, 42, 43  (Due Wed, Dec 10)

HW 35:  Section 6.5:  #1, 5, 7, 9, 13, 16, 17  (Not collected, but is covered on Final Exam)

Final Exam:  Wednesday, Dec 17 at 8:00--10:30 am


General Information

Syllabus (.pdf file)

Homework Expectations (.pdf file)

Math Activity Center Hours for Fall 2008 (.pdf file)


Supplementary Notes

Notes for Section 3.8: Related Rates  (.pdf file)

Notes for Section 4.5 (part 1): Summary of Curve Sketching (.pdf file)

Notes for Section 4.5 (part 2): Summary of Curve Sketching (.pdf file)

Notes for Setion 4.7:  Optimization (.pdf file)

Notes for Section 5.3:  The Fundamental Theorem of Calculus (.pdf file)


Review for Exams

Review for Exam 1 (.pdf file)

Review for Exam 2 (.pdf file)

Review for Exam 3 (.pdf file)

Review for Final Exam (.pdf file)


Applets

An applet illustrating the epsilon-delta definition of a limit

An applet illustrating the slope of a tangent line as the limit of slopes of secant lines

An applet illustrating the approximation of the area under a continuous curve using Riemann sums


Mathcad Labs

Lab 1 (.pdf file)

Lab 2 (.pdf file)


Links, Handouts, and Other Useful Stuff

Solutions to Exercises 21 and 23 from Section 5.2 (.pdf file)

Partial solutions to Even numbered problems in Section 4.2 (.pdf file)

Paul's Online Math Notes (an excellent website by Paul Dawkins at Lamar University)

Unit Circle (.pdf file)

Visual Calculus (An excellent web site with Flash tutorials)