8/13/2019 Calculus II syllabus

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Math 121: Calculus 2Winter 2011

Instructor:   Deanna HaunspergerText:   Stewart’s  Calculus, Sixth Ed, Early Transcendentals, Brooks/ColeOffice:   CMC 228Office Hours:   MW 1:50-2:50, T 10-11, Th 11-12, or by appt.Phone:   x4362Email:   dhaunspeFinal Exam:   Monday, March 14, 8:10 - 11 a.m. OR Saturday, March 12, 3:30-6 p.m.

Content:  Calculus is the language of the sciences. Through calculus we see the relation-ship between velocity and position, we can calculate the average of a continuous function,we can compute the area or volume of a curved shape, we can approximate very complicatedfunctions with (of all things) our friends the polynomials, and many other things. Throughlecture and collaborative work we will continue our investigation of the integral. We willalso spend some time looking at sequences and series. As far as the text, we will be coveringparts of Chapters 7, 8, and 11.

Homework: Daily homework will be assigned and will be collected at the  beginning

of the next class period. Daily assignments submitted late will   not   be graded. Theseprocedures are to encourage you to work on homework the day it is assigned.

Using   Mathematica : Near the end of the term you will be introduced to the softwarepackage   Mathematica . This software is found on most machines around campus. It is apowerful tool for doing complicated calculations and computer-aided investigation.

Exams:   You will have three exams: two midterms and a final. A well-documentedexcuse made   in advance  of a midterm is a necessary, but not sufficient, condition to earn

a make-up exam.Grades:  Your course grade will be determined from your work during the term using

the following weights: Midterms 30% each, Daily Homework 10%, and Final 30%.Sources of Help:  It is very difficult to get caught up in a math course; therefore, you

should try your best to avoid falling behind. If you are having difficulty with a concept,ask during class or come see me. In the evening (or during the day), you can try the MathSkills Center which is open until 11:00 p.m. every night except Saturdays. Russ and thetutors are wonderful.

Collaboration and Honesty:  You may talk with others and work with others all youwant on daily homework assignments. You may not, however, copy anyone else’s work.Especially ingenius or unusual ideas used to solve problems should be credited if they are

not your own. You must work alone on exams. I require academic honesty. Intellectualintegrity demands that we give credit where credit is due.

8/13/2019 Calculus II syllabus

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Tentative Schedule:

Date Sections Topic

Jan 3 1.5, 1.6 Opening comments, Inverse functions5 3.4-3.6 Derivatives of all that7 3.8 Exponential growth and decay

10 7.1 Integration by parts12 7.2 Trigonometric integrals14 7.3 Trigonometric substitutions

17 7.4 Partial fractions; rationalizing substitutions19 7.5 Integral practice21 7.7 Approximate integration

24 8.1 Arc Length26 8.2 Surface Area28 – Review, catch-up

31 – Exam 1Feb 2 4.4 L’Hopital’s Rule

4 11.1 Sequences

7 Midterm Break!9 11.2 Series

11 11.3 Integral test

14 11.4 Comparison tests16 11.5 Alternating series18 11.6 Ratio test

21 11.7 Strategies for series23 11.8 Power series

25 – Review, catch-up28 – Exam 2

Mar 2 11.9 Functions as power series4 11.10 Taylor series

7 11.11 Taylor polynomials9 Catch-up, Review