University of Rhode Island      Department of Mathematics

MTH 132  Applied Calculus II

 

                               T, TH 6-9:45pm      CCE Room 440


Instructor  Dr. Mark Comerford
Office  Lippitt 102 F
Phone  874 5984
Email  mcomerford@math.uri.edu
Office Hours
  Th 4-6pm
 or by appointment
TAs  Gabe Lugo, Frank Palladino
Office  CCE Room 220
Phone  TBA
Email  frank@math.uri.edu
TA Office Hours
  TBA
Text  Hughes-Hallet, et. al., Applied Calculus (Fourth Edition),
 ISBN 0470170522
Prerequisites  MTH 131 or equivalent

Lectures and Homework Problems


Reading Problems
7.1 Antiderivatives Odd problems
7.2 Integration by Substitution Odd problems
7.3 Definite Integrals Odd problems 1-31, 35, 37, 39
7.4 Integration by Parts Odd problems 1-19
8.1 Density Functions Odd problems 1-15, 16, 17,19
8.2 CDF, Probability 1-8, 11, 12, 14, 16
8.3 Median, Mean 2, 3, 6, 7, 8, 10, 11
9.1 Functions of Two Variables 1-5, 7, 9, 13-15
9.2 Contour Diagrams 5, 6, 8, 9, 11, 14, 20, 22, 25, 31
9.3 Partial Derivatives 2, 4, 6, 9, 11, 13, 14, 17, 19, 21, 29
9.4 More Partial Derivatives Odds 1-17, 18, Odds 29-41
9.5 Critical Points, Optimization Odds 3-11, 12, 13, 15, 17, 21
9.6 Lagrange Multipliers 1, 5, 7, 8, 11, 16
10.1 Modelling and ODEs Odd Problems
10.2 Solutions of ODEs Odd Problems
10.3 Slope Fields 1, 3, 4, 5, 7, 8, 12, 15
10.4 Exponential Growth and Decay 1, 3, 4, 8, 11, 19
10.5 Applications 1, 4, 7, 13-15, 17, 24
10.6 Population Dynamics 1-4, 8, 9, 11, 14, 16, 17, 19-21
10.7 Epidemiology 3, 4, 6, 8-10
11.1 Geometric Series 1, 2, 6, 8, 11, 12, 15, 17
11.3 Applications of Geometric Series 2, 5, 11, 13-16

 

Evaluation

Quizzes  100 pts
Exam I  100 pts
Exam II  100 pts
Exam III  100 pts
Final  200 pts
Total  600 pts

Calculators will not be allowed in exams!


Final Grade Calculation

Your total score out of 600 will be divided by 6 and the resulting score out of 100 will determine your grade: A rough guideline for grading is as follows: A is approximately 93%,A- : 90%,B+ :87%,B: 83%,B- : 80%,C+: 77%,C : 73%,C- : 70%,D+: 65%,D : 60%.


Introductory Course Description

This second course in calculus assumes that you know and can use the basic ideas covered in MTH 131.  As in MTH 131, we will approach new ideas and problems from algebraic, graphical, and numerical points of view.

How to succeed in MTH132

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.

  • Buy a notebook where you will write solutions to all the recommended problems.

  • Save all quizzes, handouts, and any other work. Use them to prepare yourself for tests.

  • Establish a group of fellow students to work with.

  • Come to class every time!  Skipping class, even only a couple of times, will translate into a lower course grade.

  • If you come to office hours, make sure you bring your work.

    • 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. Do basic calculations such as partial derivatives for functions of more than one variable and solve optimization problems.

    4. Solve first order ordinary differential equations by graphical, numerical and algebraic techniques, and to set up mathematical models for problems in the sciences.

    5. Determine properties of convergence of geometric series.

    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.