Math 221 - Calculus & Analytic Geometry III

Text:

Multivariable Calculus, 5th ed. Larson, Hostetler, Edwards. Copyright 1994, D.C. Heath and Company. (Required)

Technology Laboratory Guide. David E. Heyd. Copyright 1994, D.C. Heath and Company. (Required)

Study and Solutions Guide. David E. Heyd. Copyright 1994, D.C. Heath and Company (Optional)

Student Audience:

Transfer students.

Prerequisite:

The prerequisite is successful completion of Math 122 with a "C" or better or permission of the Associate Dean of the Industrial Technology and Mathematics Division.

Course Description:

Mathematics 221, Calculus and Analytic Geometry III, includes instruction in Calculus topics common to the standard college third semester Calculus course. General objectives in the course are to increase the student's mastery of the deductive nature of reasoning, to understand the nature of critical thinking, to increase the student's ability in problem solving, and to increase the student's ability to work with others towards a common goal.

Course Objectives:

Upon successful completion, the student will demonstrate proficiency and understanding in the following topics: Vectors and the Geometry of Space; Vector-valued Functions; Functions of several variables; Multiple Integration; Vector Analysis; and Differential Equations.

Type of Instruction:

Lecture, discussion, problem solving, and group work will be used. Students should come to class with a prepared list of questions.

Attendance Policy:

Regular attendance is essential for satisfactory completion of this course. If you have excessive absences, you cannot develop to your fullest potential in the course. Students who, because of excessive absences, cannot complete the course successfully, will be administratively dropped from the class.

The student is responsible for all assignments, changes in assignments, or other verbal information given in the class, whether you are in attendance or not.

Do NOT assume all that will be done on review days is review for the exam. New material may be covered the day before the exam.

Test Policy:

If a student must miss class, a call to the instructor (RCC's phone system has an answering system) is to be made. If an exam is to be missed, a phone call is to be made and a written notice given. If the instructor is not contacted, the grade will be zero. If a student misses an exam, and gives written notice, the percent score of the final exam will be used in its place. The student should be careful in exercising this policy, as it is very rare when a student gets a noticeably higher grade on the final exam. This substitution of the final exam percent will be done once, and only once. Any other examination missed will receive a grade of 0. If a student does not give written notice of missing the exam, the option of using the final exam score as a substitute grade will not be done, and the exam grade will be zero.

Grading Policy:

There will be several one hour examinations and a comprehensive final examination. Announced and unannounced quizzes may be given. Laboratory and homework exercises (to be announced) may be used in grading. Collected assignments will lose 10% of the grade for each class period late. A grade will be taken on your notebook. Note: Homework is essential to the study of mathematics. Letter grades will be assigned to final adjusted scores as follows:

A = 90 - 100%; B = 80 - 89%; C = 70 - 79%; D = 60 - 69%; F = 0 - 59%.

Consideration will be given to such qualities as attendance, class participation, attentiveness, attitude in class, and cooperation to produce the maximum learning situation for everyone.

Any student who stops attending without dropping will receive a grade of F.

Notebooks:

A notebook should be kept which contains every problem worked in class as well as any comments that are appropriate. In general, it should contain everything written on the chalkboard. Be sure to bring your notebook if you come to the instructor or a tutor for help. The notebook will be used for part of the Final Exam, so I encourage you to have a complete, well organized notebook. I strongly urge you to get a three-ring binder to keep your papers in.

Topics to be covered:

Chap. 11: Vectors and the Geometry of Space

Chap. 12: Vector-Valued Functions

Chap. 13: Functions of Several Variables

Chap. 14: Multiple Integration

Chap. 15: Vector Analysis

Chap. 16: Differential Equations

Calculators:

Calculators may be used to do homework. Calculators may be used on exams and/or quizzes in class unless otherwise announced. The calculator should be a scientific calculator capable of doing trigonometric work. A graphing calculator, such as the TI-82 or TI-85, is also a useful tool and highly recommended, but not required.

Additional Supplies:

The student should have a red pen, ruler, graph paper, stapler, and paper punch. The student is expected to bring calculators and supplies as needed to class. There will be a stapler and paper punch available in the classroom.

Additional Help:

Office hours will be announced. Anytime I am in my office, feel free to stop and get help. The student is encouraged to seek additional help when the material is not comprehended. Mathematics is a cumulative subject; therefore, getting behind is a very difficult situation for the student.

If your class(es) leave you puzzled, the Study Assistance Center is a service that Richland Community College offers you. You will find, however, that tutors capable of helping in Calculus III are very difficult to find. For this reason, one of the best resources that you have available to yourself is each other. I encourage you to form a study group among yourselves.

Warning! Calculus is a very time intensive subject. An average student will need to spend two hours outside of class for every one hour in class. Working a full-time job and taking Calculus is very difficult and stressful. There is very little time spent reviewing the material previous to calculus. If you find yourself in trouble, see the instructor, the Study Assistance Center, or other class members immediately. Do not wait until you are too far behind.