Intermediate Calculus with Analytic Geometry

TuTh 11am-12:15pm Lippitt Hall 205

M 11-11:50am Lippitt Hall 204

Instructor |
Dr. Mark Comerford |

Office |
Lippitt 102 F |

Phone |
874 5984 |

Email |
mcomerford@math.uri.edu |

Office Hours |
Monday 2-4pm or by appointment |

Text |
Hughes-Hallet, et.
al., Calculus
(Sixth Edition),ISBN 0470888644 |

Prerequisites |
MTH 141 or equivalent |

A link to the common MTH 142 webpage may be found here while a link to the common syllabus and schedule can be found
here

**Lectures and Homework Problems**

Clicking on the section in the table below will bring up the scanned notes for that section.

Reading | Problems |

Review | |

7.1 Integration by Substitution | 3, 7, 11, 13, 19, 21, 23, 27, 29, 31, 35, 37, 39, 41, 57, 61, 67,128,129 |

7.2 Integration by Parts | 3, 5, 9, 11, 15, 17, 21, 27, 29, 33-39 odd, 46, 51, 55 |

7.3 Tables of Integrals | 3, 7, 13, 17, 19, 29 |

7.4 Part I: Partial Fractions | 1-7 odd, 8-14 even, 15-19 odd, 39, 43, 48, 49 |

7.4 Part II: Trigonometric Substitution | 21-24, 31, 35, 55-59 odd |

7.5 Numerical Integration | 1-11 odd, 13,14,16,19-22 |

7.6 Improper Integrals | 5-15 odd, 23-31 odd |

7.7 Comparison of Improper Integrals | 1-9 odd, 13-21 odd, 26 |

8.1 Area, Volume | 5-11 13-18, 34 |

8.2 Applications to Geometry, Arc Length |
5-11 odd, 18, 19, 25-27, 41-45 |

8.3 Polar Coordinates | 1-7 odd, 17, 24, 28, 31 |

8.4 Density and Centre of Mass | 1, 3, 8, 13, 15, 26, 29 |

8.5 Physics Applications | 1, 3, 7, 10, 13, 17, 23, 28 |

8.7, 8.8 Probability Distributions | 8.7 1-9, 17, 19, 21, 22 8.84, 6, 7, 8, 10 |

9.1 Infinite Sequences | 1-25 odd, 29-31, 41-45, 53 |

9.2 Geometric Series, 9.3 Convergence of Series |
9.2 9-17 odd, 19-27 odd, 34, 40 9.3 5-11, 13-33 odd, 37 |

9.4 Tests for Convergence | 5-23 odd, 27-35 odd, 39-43 odd, 61-77 odd |

9.5 Power Series | 5-7, 11-15, 27-31 |

10.1 Taylor Polynomials | 1-9 odd, 13-19 odd, 22,29 |

10.2 Taylor Series | 1, 5, 7, 9, 13-23 odd, 35-39 odd, 44 |

10.3 Finding and Using Taylor Series | 1-11 odd, 12, 14 |

10.4 The Error in Taylor Polynomial Approximations | 1-6, 10, 11 |

10.5 Fourier Series | 1-6, 10, 11 |

11.1 Differential Equations - Introduction | 1-5, 7, 15, 16, 19, 20 |

11.2 Slope Fields, 11.3 Euler's Method |
11.2 3-8,17,18 11.3 1, 5, 7, 8 |

11.4 Separation of Variables | 1-5 odd, 9-15 odd, 21-25 odd, 45 |

Christopher Staniszewski has prepared mini-lectures on topics related the course. Each lecture is between five and ten minutes long. Completing the Square

Before you register for your section, you must have a valid registration code. You then go to registration for our section.

Once you go to your Class Section URL, click on ``register.'' Watch the
registration tutorial http://www.wileyplus.com/register if you need help.

WileyPlus informational flyer. (PDF)

**Exams**

Exam I |
Wednesday Febrauary 18, 6-7:30pm, TBA Covers 7.1 - 7.7 |

Exam II |
Monday March 23, 6-7:30pm, Chafee271 Covers 8.1 - 9.2 |

Exam III |
Wednesday April 27, 6-7:30pm, Pastore 124 Covers 9.3 - 11.1 |

Final |
7-10pm, Edwards Auditorium Covers all class material |

**The following policies apply to all exams, and no exceptions will be made.
**

**
**

Exam I |
100 pts |

Exam II |
100 pts |

Exam III |
100 pts |

Final |
200 pts |

Classwork |
150 pts |

WileyPlus |
150 pts |

Total |
800 pts |

Your total score out of 800 will be divided by 8 and the resulting score out of 100 will determine your grade: A 93 - 100, A- 90 - 93, B+ 87 - 90, B 83 - 87, B- 80 - 83, C+ 77 - 80, C 73 - 77, C- 70 - 73, D+ 67 - 70, D 60 - 67, F < 60.

Consider first coming to office hours. You can also visit the Academic Enhancement Center, either for a walk-in session or by making an appointment. The schedule for the AEC walk-in tutoring can be found here.

The AEC also offers Supplemental Instruction (SI) for this class which is held on Mondays from 6-7:30pm in Bliss 305 and Thursdays from 4:30-6pm in Washburn 208.

**Introductory Course Description**

This second course in calculus assumes that you know and can use the basic ideas covered in MTH 141. As in MTH 141, we will approach new ideas and problems from algebraic, graphical, and numerical points of view.

Spend about 8 hours per week, outside of class, working on problems, reading the text, and working on other projects. Sometime during the first week of class, set up your weekly schedule so that specific days and times are reserved for working out math problems.

**
Goals and Objectives**

The goals of the course are to have you develop symbol manipulation skills, mathematical modelling skills, skills in the use of technology to treat mathematical problems, an understanding of the language of calculus, and an appreciation for the uses of calculus in the sciences.

At the conclusion of this semester you should be able to:

- 1. Calculate integrals using a variety of algebraic and numerical techniques.
- 2. Solve problems in geometry, physics and probability using integrals.
- 3. Solve first order ordinary differential equations by graphical, numerical and algebraic techniques, and to set up mathematical models for problems in the sciences.
- 4. Calculate approximations to functions using the concepts of Taylor expansions.
- 5. Determine properties of convergence of numerical and power series.
- 6. Treat problems involving modeling, algebraic calculations and numerical calculations by using technology (Mathematica, graphing calculators).

**
Calculators**

Graphing calculators will not be used in this course and will not be permitted on exams.

**
Attendance, Quizzes, Homework
**

Policy on attendance, quizzes and homework will be announced in class. Also, check the FAQ (frequently asked questions) section of the course's web site, where you will find information about Incomplete Grade, Second Grade Option, etc.

**
Special Accommodations
**

Students who need special accomodations and who have documentation from Disability Services should make arrangements with their instructor as soon as possible. Students should conact Disability Services for Students, Office of Student Life, 330 Memorial Union, 874-2098.