Schedule for Ma241-007 Spring 2005

Homework and Reading Assigned

It is important to both complete and understand the homework. I encourage you to form study groups, however it is very important that in the end you come to an understanding of the material for yourself. You will most likely find the homework in this course challanging at times so it is important to begin early and give yourself a chance to talk to others before the due date. It is not enough to find the answer, you must be able to justify each step. Imagine that you are writing the solution for a person who doesn't know calculus. On the tests I will expect you to explain your work, presentation and proper notation are arguably as important as the answer itself. In my lectures I strive to present calculations in a coherent and logical manner, I will expect you to do the same. So take so time to notice what the notation means, don't just scribble the bare amount to finish webbassigns, it's a bad habit and it'll most likely knock a letter grade or two off your tests. I am always happy to look over your derivations of homework during office hours or at the tutorial center. Additionally, most days (time permitting) I'll answer a question about the homework. I have given you much freedom in the scheduling of the homework, you should notice that the homework is not due until the Review Day before each test. With great freedom comes great responsibility,do not put off the homework to the last day. You should try to finish the homework from each section soon after we cover that section in lecture. I try to give you all the tools you need to do the homework, but it is you who must put those tools to work. Think. Please notice the tentative dates for lecture are listed in the brackets below. It would be wise to read the section before we cover it in class. I make an effort to supply examples in addition to the text, so you still should find some benefit from the text. Finally note that problems in bold are webassign problems(you have to submit them thru webbassign)

Chapter 5: Integral Calculus

Section 5.1 [Jan 10 ]: 2,3,4,5,11,14
Section 5.2 [Jan 11 ]: 4,5,7,9,22,32,42,48
Section 5.3 [Jan 11 ]: 9,11,12,13,15,17,18,19,21,23,24,25,27,29,30,31,33,36,45,47,51,53
Section 5.4 [Jan 12 ]: 2,3,5,8,9,11,13,15,18,19,20
Section 5.5 [Jan 13-14]: 4,7,8,9,10,14,15,16,17,18,19,20,21,22,26,27,28,29,30,31,32,40,41,42,43,44
Section 5.6 [Jan 18-19]: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,26,30,41,42
  • Maple [Jan 19] Assignments 0 and 1 (Review & Illustration of Definite Integrals)BEGIN
    • Appendix G [Jan 20-21]: 1,2,3,4,5,6,11,12,13,14,15,16,19,20,26
    Section 5.7 [Jan 24-25]: 1,2,3,5,6,7,8,13,14,16,22,26,30,32
    Section 5.8: Skip
  • Maple [Jan 28] Assignment 2 (Numerical Integration) BEGINS
  • Maple [Jan 29] Assignments 0 and 1 (Review & Illustration of Definite Integrals) END
    • Section 5.9 [Jan 26-31]: 1,2,4,8,9,11,12,18,24,26,27,28,30
    Section 5.10 [Feb 1-3 ]: 2,3,6,7,8,12,13,15,18,19,20,22,23,24,26,30,31,34,36,41,42,44,45,46
  • REVIEW DAY [Feb 4]: webassign problems due by 5pm for sections 5.1-5.9 & appendix G
  • TEST I [Feb 7]: covers sections 5.1-5.9 & appendix G

    • Chapter 6: Applications of Integral Calculus

    Section 6.1 [Feb 8-9 ]: 2,4,5,6,7,8,11,12,15,16,22,23,26,36,40
    Section 6.2 [Feb 10-11]: 3,4,5,6,7,8,10,11,12,13,20,22,23,24,25,26,42
    Section 6.3 [Feb 14 ]: 1,5,6,7,8,9,12,13,22
  • Maple [Feb 15] Assignment 2 (Numerical Integration) ENDS
    • Section 6.4 [Feb 15 ]: 1,2,3,4,5,6,10,11,12
    Section 6.5 [Feb 16-18]: 3,4,6,7,8,9,10,12,13,14,19,20,21,24,26,27,28,29
    Section 6.6: Skip
    Section 6.7 [Feb 21 ]: 1,2,3,4,6,7,(10)

    Chapter 7: Differential Equations

    Section 7.1 [Feb 22 ]: 1,2,4,5,6,7,9,10,11,12
    Section 7.2 [Feb 23-24]: 2,3,4,5,6,9,10,11,12,21,22,23,24
  • REVIEW DAY [Feb 25]: webassign problems due by 5pm for sections 5.10-6.7
  • TEST II [Feb 28]: covers sections 5.10-6.7
    • Section 7.3 [Mar 1 ]: 1,2,3,4,5,8,9,10,11,12,13,16,32,34,35,36
  • Maple [Mar 2] Assignment 3 (Euler's Method and Scalar Equations) BEGINS
    • Section 7.4 [Mar 2 ]: 2,3,4,6,8,9,10,11,12,13,14,(18)
    Section 7.5 [Mar 3 ]: 5,6,7,8
    Section 7.6: Skip
  • Maple [Mar 15] Assignment 3 (Euler's Method and Scalar Equations) ENDS
    • Section 7.7 [Mar 4&15 ]: 1,2,3,4,5,6,7,8,9,10,17,18,19,20,21,22,25,26,27
  • Maple [Mar 16] Assignment 4 (Differential Equations) BEGINS
    • Section 7.8 [Mar 16-18]: 1,2,3,4,5,6,7,8,9,10,17,18,19,20,25
    Section 7.9 [Mar 21-22]: 1,2,3,4,5,6,7,8
  • Maple [Mar 23] Assignment 4 (Differential Equations) ENDS
  • REVIEW DAY [Mar 25]: webassign problems due by 5pm for sections 7.1-7.9
    • Easter Break [Mar 24-27]
  • TEST III [Mar 28]: covers sections 7.1-7.9

    • Chapter 8: Sequences and Series

    Section 8.1 [Mar 29-30]: 5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,38,39,40,41,42
    Section 8.2 [M 31-Ap 1]: 4,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,33,34
    Section 8.3 [Apr 4-5 ]: 2,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,32
    Section 8.4 [Apr 6-7 ]: 2,3,4,5,6,7,8,19,20,21,22,23,24,25,26,27,28,31,33
    Section 8.5 [Apr 8 ]: 3,4,5,6,7,8,11,12,13,16,19,20,26,27,28
    Section 8.6 [Apr 11-12]: 3,4,5,6,7,8,9,10,13,14,15,16,21,22
    Section 8.7 [Apr 13-14]: 3,4,5,7,8,9,10,18,20,21,22,23,24,31,32,33,34,38,39,40,41,48,49,50,52
  • Maple [Apr 15] Assignment 5 (Taylor Approximation to Functions) BEGINS
    • Section 8.8 [Apr 15&18]: 1,2,3,4,5,6,9,11,12,13,14
    Section 8.9 [Apr 19-20]: 7,8,12,13,19,20
  • REVIEW DAY [Apr 21]: webassign problems due by 5pm for sections 8.1-8.9
  • TEST IV [Apr 22]: covers sections 8.1-8.9
  • Maple [Apr 23] Assignment 5 (Taylor Approximation to Functions) ENDS
    • Section 8.10 [Apr 25] : 1,2,3,4,6,7,8
    Dead Week [Apr 25-29] Topics TBA, no additional homework assigned.
  • FINAL EXAM [May 9]: comprehensive



    • Bonus Webassign Problems : These are optional. (updated 1-07-05)
    Section 6.7 # 10
    Section 7.4 # 18

    Outline of Topics
  • Sections 5.1-5.4 Review: Integration basics.
  • Sections 5.5 & 5.6: Substitution and integration by parts.
  • Section 5.7: Partial fractions and Trigonometric substitution.
  • Section 5.9: Approximations techniques.
  • Section 5.10: Improper integrals.
  • Sections 6.1-6.3: Area, volume, and arc length.
  • Section 6.4: Average value of a function.
  • Secitons 6.5-6.7: Applications to Physics, Engineering, and other applications (time permitting).
  • Seciton 7.1: Introduction to Differential Equations.
  • Seciton 7.2: Direction fields and Euler's method.
  • Seciton 7.3: Separtion of variables.
  • Secitons 7.4 & 7.5: Applications of basic DEs.
  • Secitons 7.7 & 7.8: Second order linear DEs.
  • Seciton 7.9: Applications of second order linear DEs.
  • Secitons 8.1 & 8.2: Introduction to sequences and series.
  • Secitons 8.3 & 8.4: Series convergence tests.
  • Secitons 8.5 & 8.6: Power series.
  • Seciton 8.7: Taylor and Maclaurin series.
  • Secitons 8.8 & 8.9: Applications of Taylor series (time permitting).



    • Bonus Question: What is the name of the scientist pictured below ? It's worth a point on any test if you can tell me.

    hawkings


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    Last Updated: 1-4-4