Calculus II, Spring 2009

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Homework:

Assignment 1:

Section 5.1: page 252: 7,9,21,26,31,35,37. (Due Wednesday 28 January).

Assignment 2:

Section 5.2: page261: 16,22,28,34,40,52.

Section 5.3: page266: 16,26,28,34,60,64.

Section 5.4: read page 271-272 and do the following problems

1) Define y=log_a(x)

2) Show log_a(x) = ln(x)/ ln(a), a <> 1

3) Show d( log_a(x))/dx = 1/(xln(a)). (Due Wednesday 4 February).

Assignment 3:

Section 5.4: page 274: 2,8,10,22,24,28,34,42,46.

Section 5.5: page 281: 4,6(a)(b),10,18(a).

Section 5.6: page 288: 2,4,13,14,16,25

Assignment 4: (Due Wednesday Feb 25)

Section 6.1: page 311: 18,20.

Section 6.2: page 321: 2,6,20,38,44,54.

Assignment 5: (Due Friday Feb 27)

Section 6.3: page 329: 8,10,15,20.

Assignment 6: (Due Monday March 2)

Section 6.6: page354: 6,8,16,28,34 .

Assignment 7: (Due Wednesday March 4)

Section 6.6: page 354: 24,42,44,49.

Assignment 8: (Due Friday March 6)

Section 7.1: page 363: 2,6,11.

Assignment 9: (Due Monday March 16)

Section 7.2: page 372: 4,6,22.

Assignment 10: (Due Wednesday March 18)

Section 7.3: page 378: 4,12,13,18,30.

Assignment 11: (Due Friday March 20)

Section 7.4: page 385: 4,9,16.

Assignment 12: (Due Wednesday March 25)

Section 8.1: page 421: 10,12,14,20,28.

Assignment 13: (Due Monday March 30)

Section 8.1: page 421: 34,36.

Section 8.2: page 429: 10,14,24.

Assignment 14: (Due Friday April 3)

Section 8.2: page 429: 12,16,18,30.

Section 8.3: page 438: 6,7,11,12,18,28.

Assignment 15: (Due Monday April 6)

Section 8.3: page 438: 13,14,16,17,19,20.

Assignment 16: (Due Wednesday April 8)

In class practice problems.

Assignment 17: (Due Friday April 10)

Section 8.4: page 448: 4,6,8,19.

Assignment 18: (Due Monday April 13)

Section 8.4: page 448: 10,14,20 and 22.

Assignment 19: (Due Wednesday April 15)

Section 8.4: page 448: 24,28 and 31.

Assignment 20: (Due Wednesday April 22)

Section 8.6: page 458: 4,7,14,18.

Assignment 21: (Due Wednesday April 22)

Section 8.6: page 458: 4,7,14,18.

Assignment 22: (Due Monday April 27)

Section 8.7: page 471: 4,6,8,12.

Assignment 23: (Due Wednesday April 29)

Section 8.7: page 471: 16,30,53.

Assignment 24: (Due Saturday May 9)

Review problems for the final exam.

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Labs:

Week 1 January 19: Review Calculus I

Week 2 January 26: Inverse Functions

Week 3 February 2: Logarithmic Differentiation

Week 4 February 9: Review Chapter 5

Week 5 February 16: Midterm Exam I

Week 6 February 23: Integration Practice

Week 7 March 2: Partial Fractions

March 14: Spring Break

Week 8 March 16: Gabriel's horn and Gabriel's wedding cake

Week 9 March 23: Midterm Exam II

Week 10 March 30: Lists, Carpets and Bouncing balls

Week 11 April 6: Fun with Series

Week 12 April 13: It all adds up

Week 13 April 20: Midterm Exam III

Week 14 April 27: Final Exam Review

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Quizs:

Quiz 1 January 26: Quiz I

Quiz 2 February 2: Quiz II

Quiz 3 February 9: Quiz III

Quiz 4 February 23: Quiz IV

Quiz 5 March 2: Quiz V

Quiz 6 March 16: Quiz VI

Quiz 7 March 30: Quiz VII

Quiz 8 April 6: Quiz VIII

Quiz 9 April 13: Quiz IX

Quiz 10 April 29: Quiz X

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Diary:

Class 1 Monday January 19: Review Calculus I

Class 2 Wednesday January 21: Section 5.1, Inverse Functions

Class 3 Friday January 23: Finish section 5.1, Inverse Functions

Class 4 Monday January 26: Section 5.2, Natural Logarithmic Function

Class 5 Wednesday January 28: Section 5.3, Natural Exponential Function

Class 6 Friday January 30: Section 5.4, General Logarithmic and Exponential Functions

Class 7 Monday February 2: Section 5.5, Exponential Growth and Decay

Class 8 Wednesday February 4: Section 5.6, Inverse Trigonometric Functions

Class 9 Friday February 6: Finish 5.6 and start 5.8

Class 10 Monday February 9: Section 5.8, L'Hospital's Rule

Class 11 Wednesday February 11: Section 5.8, L'Hospital's Rule

Class 12 Friday February 13: Section 6.1, Integration by Parts

Class 13 Monday February 16: Section 6.2, Trigonometric Integrals

Class 14 Wednesday February 18: Section 6.2, Trigonometric Integrals

Class 15 Friday February 20: Section 6.2, Trigonometric Substitutions

Class 16 Monday February 23: Section 6.3, Partial Fractions

Class 17 Wednesday February 25: Section 6.3, Partial Fractions (continued)

Class 18 Friday February 27: Section 6.6, Improper Integrals

Class 19 Monday March 2: Section 6.6, Finished Improper Integrals

Class 20 Wednesday March 4: Section 7.1, Area between Curves

Class 21 Friday March 6: Section 7.2, Volumes

Class 22 Monday March 16: Section 7.3, Volumes by Cylindrical Shells

Class 23 Wednesday March 18: Section 7.4, Arc Length

Class 24 Friday March 20: Reviewed for the Midterm Exam 2

Class 25 Monday March 23: Section 8.1, Sequences

Class 26 Wednesday March 25: Finished Section 8.1 and started sectoin 8.2, Series

Class 27 Friday March 27: Section 8.2, Series

Class 28 Monday March 30: Started Section 8.3, Integral Test and Comparison Test

Class 29 Wednesday April 1: Finished Integral Test

Class 30 Friday April 3: Finished Comparison Test

Class 31 Monday April 6: Limit Comparison Test and we did reivew of 8.2 and 8.3.

Class 32 Wednesday April 8: Started Alternating series

Class 33 Friday April 10: Finished Alternating series and talked about 2 different types of convergence

Class 34 Monday April 13: Ratio Test and started 8.5 Power Series.

Class 35 Wednesday April 15: Finished 8.5 power series. (Finding interval of convergence and radius of convergence.)

Class 36 Friday April 17: Started section 8.6: Representation of Functions as Power Series. (Make use of geometric series to write power series.)

Class 37 Monday April 20: Still on section 8.6: Power series of f(x)=-ln(1-x) and f(x) = arctan(x).

Class 38 Wednesday April 22: Finished section 8.6.

Class 39 Friday April 24: Section 8.7: Derieved formula for Taylor and Maclauring Series.

Class 40 Monday April 27: Continued section 8.7: Some important Maclaurin series.

Class 41 Wednesday April 29: Finished section 8.7: Application of the power series.

Class 42 Friday May 1: Handed out the review problems for the final exam.