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MAT 271.81 MW 6:30--8:10
C-231
Faculty Name: Dr. David Kaplan
Office Location: C-211A
Office Hours: W 3:00 - 4:00; T/TH 1:30 -- 3:30
Phone No: 815-1455
CATALOG DESCRIPTION In this third course in Calculus, students study infinite series, conic sections, vectors and the calculus of 3-dimensional space, polar coordinates, partial derivatives, and multiple integrals with applications to physics and engineering. Prerequisite: MAT172.
TEXTBOOKS Calculus, Larson, Hostetler, and Edwards, sixth edition.
BRIEF COURSE OUTLINE
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| Chapter 8 Infinite Series |
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| Chapter 9 Conics, Parametric Equations, and Polar Coordinates |
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| Chapter 10 Vectors and the Geometry of Space |
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| Chapter 11 Vector-valued fuctions |
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| Chapter 12 Functions of Several Variables |
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| Chapter 13 Multiple Integrals (time permitting) |
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| Chapter 14 Vector Analysis (time permitting) |
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COURSE OBJECTIVES
1. To gain understanding in the theory of infinite series and to build proficiency in determining whether a given infinte series converges or diverges. To gain skill in determining the power series for a variety of elementary functions.
2. To gain proficiency in solving a variety of calculus problems using parametric equations and polar coordinates.
3. To gain understanding about vectors, the dot and cross product, three-space geometry, cylndrical and spherical coordinates, and to build skill in solving a variety of application problems in two- and three-dimensional space.
4. To understand the calculus of functions of several
variables and to gain skill in a variety of application problems involving
such functions -- using partial derivatives, differentials, directional
derivatives, and iterated integrals.
TECHNIQUES USED TO OBTAIN OBJECTIVES: Each class we will discuss at least one new section in the text and practice example problems from this section in class. Homework assignments from each class challenge the student to solidify their understanding, and become proficient in working problems. At the beginning of each class, we will discuss solutions for problems from the previous class which present difficulties as well as clear up any theoretical questions. A review day will precede each test.
CLASS ATTENDANCE POLICY: Missed classes will result in your missing new material, homework reviews and handouts and thus may result in less effective learning. It is the responsibility of the student to copy notes and handouts from their fellow students and to find out what announcements were made during their absence.
MAKE-UP EXAMS: If a student misses a test, a grade of "0" will be recorded unless the instructor is notified in advance for the reason and arrangements are made to make up the exam. In some instances, the grade on the final exam may be substituted for the missed exam.
WRITING STANDARDS: York College recognizes the importance of effective communication in all disciplines and careers. Therefore students are expected to competently analyze, synthesize, organize and articulate course material in papers, examinations and presentations. In addition, students should know and use communication skills current to their field of study, recognize the need for revision as part of the writing process, and employ standard conventions of English usage in both writing and speaking. Students may be asked to further revise assignments that do not demonstrate effective use of these communication skills.
ACADEMIC DISHONESTY: In those cases where academic dishonesty is observed, the student(s) involved will receive a grade of "F" or "0" for the course and a brief written report will be forwarded to the Academic Dean for inclusion in a special file to be kept in the Dean's office. A copy of this report along with a statement of the consequences of such behavior will be sent to the student(s) concerned. In those cases where a student receives a second dishonesty report, the Academic Dean will under normal circumstances, suspend the student from the college.
EVALUATIVE PROCESS: The student has a fundamental responsibility in the evaluation of this course and the instructor. This responsibility includes but is not limited to completion of a "Teaching and Course Observation" form and the right to submit positive or negative comments to the department chair.
GRADING POLICY: Your grade will be based on
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You can earn bonus points by correctly putting homework on the board or through unannounced quizzes.
GRADING SCALE
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