Homework

How to succeed in MTH 143:

  • Come to class every day.
  • Attend workshop every week.
  • Do the suggested WeBWorK problems immediately after class in a dedicated WeBWorK notebook that you can refer back to when you study for exams.
  • Keep a running list of questions or material you don’t understand, and slowly chip away at it by visiting any of the resources listed below in the Getting help section.
  • Work the practice exams, and, more generally, prepare carefully for exams (see below).
  • Find someone to work with: not only does this make the class more fun, but then you have someone to explain things to you, and perhaps even more importantly, you have someone you have to explain things to, so if you don’t completely understand something, that will come to light before the test!

How to study for exams in MTH 143:

  • Begin by organizing all your notes from class, all your workshops, and all your previous exams – fill in any gaps from friends or the course website. If you missed days of class, you might also consider watching online tutorials about those subjects or rewatching recorded lectures.
  • Make short review sheets (maybe a total of 2 pages) of all the basic material in the course so far – the definitions, the big ideas, the tests and theorems, example problems for each area or method we talked about. The goal here is to get a bird’s eye view of the material
  • Go back through all webwork problems and rework them. If you don’t remember how to do a problem, add it to a running list of questions you have (see above in “How to succeed in MTH143”). If you are sure you remember, just work through it quickly anyway. Sometimes it’s hard to know what we do and don’t know.
  • Go back through all the old workshops as well as all in-class and textbook examples and make sure you know how to work all these problems as well, making sure to add any you are unsure of to your running list of questions.
  • Attend any of the items listed under “Getting help” or ask a friend, and make sure to get your questions answered well before the exam.
  • Once you’ve redone all the questions and have a bird’s eye view of the material, you are ready to start mastering the material. The first step for mastering the material is to take the practice exam, and see how it goes.
  • You can rewrite the practice exam for your friends, with different series and different sequences. Then trade with them to work each other’s revamped versions of the practice exam.
  • Other things you can do include reading back over all your review sheets, making up new problems for each area, and working them. Re-visiting webwork, workshops, and in-class examples again; consulting the list of textbook questions below; and reworking the practice exam yet again.
  • You can also try writing out a list of series you know that converge absolutely, converge only conditionally, and that diverge.

Getting help

If you are having difficulties, seek help immediately! Do not wait until it is too late to recover from falling behind or failing to understand a concept. There are several avenues for you to get help and ask questions outside of lecture:

  • Attend TA or instructor office hours.

  • Attend the math department’s study hall. This takes place in Hylan 1104 Monday-Thursday 5-8 p.m. The math department study hall is staffed by graduate students who will answer your questions on a walk-in basis. This is a good place to work on homework and get help.

  • The Learning Center (TLC) offers a range a resources: scheduled tutoring (free of charge), drop-in tutoring, study groups (that you must sign up for), and study skills counseling. More information can be found at TLC’s website.

  • UCC and CCAS offer help with any other issues you may be experiencing.


Review Problems

  • 4.4 l’Hopital’s Rule: all examples from the section and 7, 8, 18, 19, 30, 34, 44, 55, 56, and 61 from the problems
  • 7.8 Improper Integrals: example 4 and problems 5,6, 8, 17, 18, 20, 21, 25, 49, 50, 51, 52, and 57- 59.

Chapter 11 Review Problems

  • 11.8: 5, 6, 9, 15, 18, 19, 20, 25
  • 11.9: 3, 4, 5, 6, 7, 8, 13a, 15, 16
  • 11.10: 4, 8, 10, 13, 14, 16, 21, 23, 25, 35, 37, 40, 55, 62, 63, 65, 74, 75, 76, 78, 79, 80
  • CH#11 Review: 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 59

Chapter 10 Review Problems

  • 10.1: 1, 3, 4, 5, 6, 8, 12, 14, 19, 21, 24, 25
  • 10.2: 2, 3, 5, 8, 9, 11, 13, 14, 15, 17, 18, 25, 29, 31, 32, 34, 37/39 (just set up), 41, 43, 45
  • 10.3: 1, 3, 5, 29-40, 47, 48, 54, 55, 59, 61, 63
  • 10.4: 2, 5, 7, 9-12, 13, 14, 17, 19, 21, 23, 24, 26, 27, 28, 29, 30, 31, 32, 37, 38, 39, 45, 48, 50
  • CH#10 Review: 9, 10, 11, 12, 13, 22, 24, 25, 26, 30, 32, 33, 35, 37

Recitation Handouts

These will be posted each week


Lecture Notes

11.1-11.5 Sequences and Series Testing

11.5 Alternating Series

11.5 Absolute and Conditional Convergence

11.6 Root/Ratio test

11.8 Power series

11.9 Representing Functions as Power Series

11.9 Integration and Differentiation of Power Series

11.10 Taylor Series

11.10 Taylor Series 2

11.10 Applications of Taylor Series

10.1 Parametric Equations

10.1 Parametric Derivatives

10.2 Parametric Integrals

10.3 Polar Coordinates

10.3 Curves in Polar Coordinates

10.4 Polar Integrals


Handouts

Series Tests

Taylor Series

Trig Review

Polar

Blank Polar Curves

Final Review Sheet