Meeting Place and Times:
Section 2: Hentschke 102, Monday, Wednesday, Friday, 9:30 - 10:50 a.m.
Section 3: Hentschke 102, Monday, Wednesday, Friday, 1 - 2:20 p.m.

Instructor Office Hours: Monday through Friday, 11 a.m. - noon; MWF, 2:30 - 3:30 p.m.; most T/Th afternoons; and by appointment. Check your weekly assignment sheet for T/Th afternoon times and for other changes. Also, I usually am in my office past 3:30 p.m. on Mondays and Fridays; call first to make sure.

Texts:

Calculus in Context, by James Callahan and Kenneth Hoffman.
Note: If you do not already own this text, then you may wish to purchase Chapters 6 and 11 only from the U of R Bookstore.

Multivariable Calculus (preliminary edition), by William G. McCallum, Deborah Hughes-Hallett, Andrew M. Gleason, et al.
Note: This text also will be used in MATH 221, Calculus III.

You also will need a Calculus in Context computer disk. If you do not already own this disk (it's the same disk you used in Calculus I), then you may purchase it from mathematics department secretary Mrs. Janine Stilt for $1. Do it today after class!

Prerequisite: Grade of 1.7 or higher in MATH 121, Calculus I (or equivalent)

Course Objectives:

To understand several important concepts and techniques from integral calculus and multivariable calculus, including
Riemann sums and integration (Chapter 6, Calculus in Context);
Techniques of antidifferentiation and integration (Chapter 11, Calculus in Context);
Functions of two or more variables (Chapter 11, Multivariable Calculus);
Integration of multivariable functions (Chapter 15, Multivariable Calculus); and
Vectors (Chapter 12, Multivariable Calculus);

to apply these concepts to such real world phenomena as velocity and motion, worker and economic productivity, electrical energy and power, population density, weather and temperature, consumer trends, and business revenues;

to learn to use computer packages and programs to visualize, explore and analyze both calculus concepts and mathematical models;

to improve your ability to think logically, analytically, and abstractly;

to improve your ability to communicate mathematics, both orally and in writing; and

to become better acquainted with the language and the methods of mathematics, as they actually are spoken and practiced by mathematicians, scientists, and social scientists.

Grading: Homework, 30%; quizzes and examinations, 70%

Homework Assignments: There will be a homework assignment, consisting of reading and exercises, corresponding to almost every class period. Ideally, you should complete the reading listed for each class meeting before the class meeting; certainly, you should complete it before attempting that day's homework exercises. The exercises are due at the start of the next class period unless I say otherwise on the weekly assignment sheet or in class. Late homework will not be accepted without prior permission. Your three lowest daily homework scores will not be included in your homework average.

You are encouraged to discuss strategies for solving homework exercises with me, with tutors and with your classmates, and you should check answers to computational exercises with your classmates. However, unless I say otherwise, the work you hand in must be essentially your own. A good way to help ensure this is to write up your solutions on your own, making sure that you understand each step as you write it out.

Occasionally, you will earn homework points for in-class activities and presentations. These assignments cannot be made up, however some of them may count as your one, two, or three lowest daily homework scores and thus not be included in your final homework average.

Examinations: There will be three 100-point examinations during the semester, on approximately March 5, April 9, and May 5. In addition, there will be a 200-point final examination, part of which will focus on what we study during the last two weeks of class, but at least half of which will be comprehensive. The Office of the Registrar has scheduled the final examination for Friday, May 23, at 9 a.m. (Note: This is not the final examination time corresponding to your class meeting time, but rather the final examination time for all sections of MATH 122.) The instructor reserves the right to administer 10- to 20-point quizzes with at least two class days notice and 5-point quizzes with no notice.

Time Commitment: You should expect to spend at least two hours studying outside of class for every hour spent in class. This means that for each of our 1 hour, 20 minute class sessions, you should plan to spend at least 2 hours, 40 minutes of quality time studying outside of class. Of course, if you wish to earn a grade of A or B, you may have to study more!

Tutorial Sessions: all, Hentschke 204
Sunday, 7 - 9 p.m.
Monday - Thursday, 2:30 - 4:30 p.m., 7 - 9 p.m.
Friday, 2:30 - 4:30 p.m.

Individual tutors are available through Student Services, which is located in Library 112 (basement of Armacost Library). To obtain your very own tutor, go to Student Services and ask to sign up for a calculus tutor. They'll give you a form which you and I both must sign, and which you'll then return to them. Then they'll give you the name of a tutor with whom you then may set up an appointment. Notice that this process will take some time, so don't wait until the last minute to sign up for a tutor! These tutors are free.

Note: The University of Redlands' three-semester calculus sequence includes the following topics.

Calculus I: Differential equations and derivatives

Calculus II:
Single and multiple integration
Integration as accumulation, introduced in the context of applications
Fundamental Theorem of Calculus
Techniques of integration: substitution, parts
Brief introduction to multivariable functions and partial differentiation
Multiple integration
Nonrectangular coordinate systems
Introduction to vectors
Dot product and projections, cross product
Equations of lines and planes in three-dimensional space

Calculus III:
Vector calculus
Multivariable functions (again) and their limits
Partial differentiation (again), chain rule
Gradient, directional derivative
Parametric equations
Line and surface integrals
Stokes', Divergence, and Green's theorems
Sequences and series
Sequences, series, power series, Taylor series
Transcendental functions