NORTHWEST COLLEGE Department of Mathematics

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1 NORTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS Revised MATH 2415: Calculus III Fall Semester, 2010 / CRN / Tuesday Thursday; 11:30 AM 1:30 PM / Spring Branch, Room #215 INSTRUCTOR: John Thomas CONFERENCE TIMES: Monday Friday, 7:00 8:00 AM CONTACT INFORMATION: john.thomas@hccs.edu Textbook: Calculus With Analytic Geometry, Ninth Edition, by Larson, Hostetler and Edwards, Houghton Mifflin Company, Catalog Description: Integral calculus including discussions of transcendental functions, applications of integration, integration techniques and improper integrals, infinite series, Taylor series, plane curves, and polar coordinates. Prerequisites: Math 2413: Pass with a C or better. Credits: 4 credit hours (4 lecture). Course Intent & Audience: This course provides a detailed study of the logarithmic, exponential, and other transcendental functions, integration techniques with applications, L Hopital s rule, an introduction to infinite series and power series, as well as Taylor polynomials and approximations, plane curves, parametric equations, and polar coordinates. This course is intended basically for students who are pursuing degrees in mathematical sciences and engineering and who are required by the nature of their respective curricula to enroll in the 3 -semester calculus series. Students enrolled in other areas not requiring calculus may wish to take this course as an elective to broaden their mathematical background provided the necessary prerequisites have been met.

2 Testing policy: When taking the exam during the class period you will have 1 hour and 45 minutes to complete the exam. Make-up policy: Assignments will not be accepted late. If you miss an exam I will allow you to make up the exam during the final exam period. This does not mean that you are exempt from the take-home portion of the exam. The take-home portion is due on or before the exam was scheduled. If you miss a second exam, you will receive a zero, NO EXCEPTIONS! In order to pass this course you must take all the exams and final. There are no make-up exams. Grading policy: Your final course grade is based on the following standard HCC scale. Final Average 90 Avg Avg < Avg < Avg < 70 Avg < 60 Final Course Grade A B C D F Grading Evaluation: Major Exams 75% Final Exam 25% Major exams will be in two parts. A take-home portion of the exam will be due at the beginning of class on the day of the exam. An in-class exam will be given during class on exam day. The take-home portion of the exam is not optional! If you do not complete the take-home portion at the designated time, you will receive a zero on that part! The final exam can cover any material listed in the class content section of this syllabus even if the material is not covered in class. All exams are a maximum of 1 hour and 45 minutes. Grades will be posted online at the end of the semester when all grades have been finalized. It is HCCS policy that no grades will be discussed via telephone or . If you wish to discuss your grade you can come by my office at the beginning of the following semester and I will be happy to discuss your grade. Computer Lab Assignments: Students attending this course are expected to become familiar with Maple or Mathematica software and complete the assigned computer labs. Final Examination: The final exam is comprehensive, and questions on it can deal with any of the course objectives. The final examination must be taken by all students.

3 Homework policy: Homework is assigned during class. The homework is for your benefit and is not turned in for a grade. Calculators: The use of graphing calculators is encouraged. A graphing calculator is required for this course. An understanding of calculus is imperative for engineering, science, and mathematics disciplines. The material in this course will be supported by the use of a graphing calculator and appropriate mathematical software. Calculators may or may not be used on exams, depending on the material being covered and the type of calculator. No symbolic calculators will be allowed on exams. These include, but are not limited to, TI-89, TI-92, HP-48. No cell phones or equivalent will be used during exams. Attendance policy: Attendance is checked during every class. The instructor may drop you for excessive absences. Tardiness policy: Students are expected to be present at the beginning of class. Withdrawal policy: If you decide to drop the class, then IT IS YOUR RESPONSIBILITY TO DROP before the final drop date. If your name is on the roll at the end of the term, you WILL receive a grade. Neither you nor your instructor will be able to perform the drop after the final drop date. In order to withdraw from your class and receive a W on your transcript, you MUST contact your professor or a counselor PRIOR to the withdrawal deadline. The Final Withdrawal Deadline is 11/18/2010, at 4:30 pm. After the withdrawal deadline has passed, you will receive a grade. Zeros averaged in for required coursework that is not submitted will lower your semester average significantly, most likely resulting in a failing grade of F. Please refer to the following notice before dropping the class. NOTICE: Students who take a course three or more times will face significant tuition or fee increases at HCC and other Texas public colleges and universities. In addition, state law allows students a maximum of 6 course withdrawals during their entire college career. Students with more than 6 drops will be required to pay additional fees. Prior to course withdrawal, you must confer with your professor or counselor about your study habits, homework, test-taking skills, attendance, course participation, and tutoring or other assistance that is available. Student conduct: Students should not engage in disruptive activities while in the classroom. Any conduct that is deemed detrimental to the academic atmosphere, such as cell phone use or consistently talking during instructional delivery, will not be tolerated. Any student found guilty of such conduct will be asked to leave the classroom until further notice.

4 Academic dishonesty: All students are required to exercise academic honesty in completion of all tests and assignments. Cheating involves deception for the purpose of violating testing rules. Students who improperly assist other students are just as guilty as students who receive assistance. A student guilty of a first offense will receive a grade of F on the quiz or test involved. For a second offense, the student will receive a grade of F for the course. The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Services Office for information. Resources and supplemental instruction: Free tutoring is provided at the Spring Branch Campus, Room RC11 (Library). Students with Disabilities: Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Support Services Office at this college at the beginning of the semester. Professors are authorized to provide only the accommodations requested by the Disability Support Office. Course Schedule: Chapters and Sections Unit I Vectors and the Geometry of Space Sections: Unit II Vector-Valued Functions Sections: Unit III Functions of Several Variables Sections: Unit IV- Multiple Integration Sections: Unit V Vector Analysis Sections: Test Schedule: Test Chapters Covered on Test Date Test #1 Chapter 11 Tuesday 9/14/2010

5 Test #2 Chapter 12 Tuesday 9/28/2010 Test #3 Chapter 13 Thursday 10/21/2010 Test #4 Test #5 Final Exam Chapter 14 Chapter 15 Chapters Thursday 11/11/2010 Tuesday 12/7/2010 Tuesday 12/14/ :00 AM 12:45 PM Important Dates: Drop Deadline: 11/18/2010, 4:30 PM Holidays: 9/6 Labor Day 11/25 11/28 Thanksgiving Course Objectives: At the completion of this course, a student should be able to: 1. apply calculus to vectors and vector-valued functions 2. describe and use partial differentiation 3. apply Lagrange multipliers to solve problems. 4. solve multiple integrals. 5. find the Jacobian using determinant notation. 6. apply Green s theorem to evaluate line integrals around a bounded area. 7. apply the Divergence theorem and Stokes theorem to specific problems.

6 Proposed Schedule Math 2415 Fall Semester 2010 Tuesday Thursday 8/ , /2 11.3, / /9 Review 9/14 Exam 1 9/ , / , / , Review 9/28 Exam 2 9/ , /5 13.3, /7 13.5, / , / , /19 Review 10/21 Exam 3 10/ , / , /2 14.5, /4 14.7, /9 Review 11/11 Exam 4 11/ , / , / , /25 Holiday 11/ , /2 Review 12/7 Exam 5 12/9 Review 12/14 Final (11:00 AM) 12/16

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