Danville Community College

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1 Danville Community College Piedmont Governor s School for Mathematics, Science, & Technology Math 274: Calculus II Dual Enrollment Division of Arts and Sciences Fall 2017-Spring 2018 Syllabus/Course Outline Instructor: Betty Knick Telephone: (434) ; FAX: (434) Office Hours: 12:30 3:00 M-F; Rm216 IALR bknick@dcc.vccs.edu Blackboard: School site: Textbook help: CalculusETF5e) College: Text: Calculus Early Transcendental Functions, 5th edition by Ron Larson & Bruce Edwards. USA: Brooks/Cole, Cengage Learning, ISBN-10: Materials: Textbook Scientific Calculator (non-programmable); (TI-30X IIS good < $15) 3-ring binder with college ruled loose-leaf paper and dividers for organization Graphing paper (uniformed squares); highlighter Pencils required for all work submitted for grade, black pens, small straight edge, erasers Internet access to Blackboard/textbook site/web Assign Credit Hours: 4 (Lecture hours: 4) Class Meeting Times: Section B2 T/TH & every other F 9:30 am to 11:00 am. Prerequisites: MTH273, MTH 173, or equivalent. (Credit will not be awarded for more than one of MTH 174, MTH 176 or MTH 274) Course Description: Covers vectors in three dimensions, definite integrals, methods of integration, indeterminate forms, partial differentiation, multiple integrals, calculus of parametric equations and sequences and series. Designed for mathematical, physical, and engineering science programs. Relationship of the course to curricula objectives in which it is taught: This is a transfer level mathematics course that helps develop fundamental understanding of differential and integral calculus and their applications. Course Objectives: Upon completion of this course, the student should: 1. Demonstrate an understanding of basic mathematical skills/concepts used in calculus. 2. Understand and communicate clearly and effectively the principles of calculus, using proper vocabulary and nomenclature. 3. Apply the principles of calculus to solve applied problems in mathematics, as well as in other disciplines. 4. Use mathematics in a technological environment. 5. Develop effective study skills in order to master course content and objectives. 6. DCC Educational Objectives: Critical Thinking, Quantitative Reasoning, Scientific Reasoning. Methods of Instruction This course will involve the student in an active learning process. As a result, a combination of instructional methods will be utilized. Interactive lectures with problem-solving sessions will be an integral part of this course. Calculators: The use of graphing calculators will NOT be allowed for any proctored quizzes, tests or the final exam. The use of scientific calculators will be allowed only at instructor discretion. It is strongly recommended that calculators not be used when completing homework. 1

2 Learning Outcomes: After successfully completing the course, a student should be able to: Find the inverse of polynomial, rational and trigonometric functions Find derivative and integrals of exponential and logarithmic functions Solve application problems of exponential growth and decay Find derivatives and integrals of the hyperbolic function Apply L Hopital s Rule Apply various methods of integration: substitution, integration by parts, trigonometric integration, inverse substitution and integration by partial fractions Calculate arc length, area of a surface of revolution, volumes and hydrostatic pressure Graph, integrate and find the arc length and surface area of revolution of a set of parametric equations Graph and find area and arc length in polar coordinates Define conic sections and work with parametric equations Define and test the convergence of sequences and series Define and test the convergence of geometric series Apply integral test and comparison test for series with positive elements Apply ratio and root test to an alternating series Apply ratio and root test to a power series Find a representation of a function as a power series and determine its radius and interval of convergence Find Taylor and Maclaurin Series of simple functions Course Outline: 1. Review of Calculus Concepts Covered Basic Derivative rules applied to algebraic and transcendental functions Basic Integration rules; Fundamental Theorem of Calculus Inverse Functions Exponential and Logarithmic Functions: derivatives 2. Integration The Natural Logarithmic Function: Integration Inverse Trigonometric Functions: Integration Hyperbolic Functions 3. Differential Equations Slope Fields and Euler s Method Differential Equations: Growth and Decay Differential Equations: Separation of Variables 4. Applications of Integration Area of Region between two curves Volume: Disk Method Volume: Shell Method Arc Length and Surfaces of Revolution Work Moments, Centers of Mass, and Centroids Fluid Pressure and Fluid Force 5. Integration Techniques, L Hopital s Rule, and Improper Integrals Integration by Parts Trigonometric Integrals Trigonometric Substitution Partial Fractions 2

3 Integration Tables and Other Integration Techniques Indeterminate forms and L Hopital s Rule Improper Integrals 6. Infinite Series Sequences Series and Convergence The Integral Test and p-series Comparisons of Series Alternating Series The Ration and Root Tests Taylor Polynomials and Approximations Power Series Representation of Functions by Power Series Taylor and Maclaurin Series 7. Conics, Parametric Equations, and Polar Coordinates Conics and calculus Plane Curves and Parametric Equations Parametric Equations and calculus Polar coordinates and polar graphs Area and arc length in Polar coordinates Polar Equations of conics Student Evaluation: To obtain a measure of student understanding of material presented the following assessment methods will be used: Five/six major tests (60-90 mins. each) Announced and/or unannounced quizzes (partial class time) Written Assignments dealing with applications/in-depth concepts Projects (1) and Web Assign homework checks Grading: The following grading scale will be followed: A for ; B for 80 89; C for 70 79; D for 60 69; F for less than 60 (or W according to the DCC withdrawal policy). Calculation of Final Course Grade: Quizzes 20% Written Assignments, Web Assign & Projects 15% Tests 40% Final Exam 25% Class Guidelines: Attendance- Attendance is expected for all classes. It is the responsibility of the student to notify the instructor of a legitimate absence for a test and plans for make-up. ME anytime YOU ARE ABSENT. 3

4 Be Prompt- All students are expected to be on time. (Bonus Participation Points: 1/3 to 1/2 bonus point per class held is awarded to students who are present, on time, AND remain the duration of the class with maximum of 6 points per grading period). Any student missing more than 7 days of class instruction may have their college grade lowered by one letter grade with the Director having the option to excuse a student when documented; mitigating circumstances prevent the student from attending class. For DCC attendance policy: Students missing 25% or more of the total time allocated for classes and/or labs may be administratively withdrawn from the course upon recommendation of the instructor. Students administratively withdrawn prior to completion of 60% of the classes will be issued a W; after that point, students will be issued a grade of F. Be Prepared- Bring all required materials and completed assignments to class daily. Students are expected to read over text material prior to coming to class and check HW for which answers are available. Be Respectful- Class time is to be fully utilized for the benefit of the student. Read material, stay on task, and exhibit a scholarly manner. Use appropriate manners, be courteous to all, and have respectful use of equipment. It is very important that computers are used according to handbook guidelines. Do your part to maintain a non-disruptive learning environment including turning off any cell phones and pagers during lecture. Students whose conduct hinders the academic achievement of others will be referred to the Director and subject to disciplinary action. No electronic devices or food are allowed in class; bottled drinks are permissible. All cell phones/pagers are to be TURNED OFF prior to entering class and placed FACE DOWN on front center of desk. Follow Student Handbook and Honor Code- It is the student s responsibility to read and commit to PGS guidelines as stated in the Student Handbook. Each written assignment submitted for a grade must have the pledge written out and signed. Assignments without the appropriate honor pledge will not be graded. PGS policies are incorporated as part of this syllabus. Assignments- Any written work should be neatly completed on college ruled loose-leaf paper, in a vertical format, labeled and dated. Lines should be skipped between problems. Enough work must be shown to follow the logical thought process, even if a calculator is used, this includes showing any formula used and appropriate substitutions. Graded assignments must be completed and turned in by 7:45 am. Group projects are to be completed using a collaborative effort two brains are better than one. It is extremely important that students complete homework/class work assignments promptly and have problems checked for which answers are provided. Test and quizzes will include an understanding of the definitions and problems throughout the text. Study partners are encouraged for homework assignments and missed lectures. REQUIRED: Any student, who fails to turn in a graded assignment, must complete & sign a pink slip stating: the assignment, reason chose not to complete the assigned work and date to be turned in if accepted late. Failure to do so will result in loss of all bonus points for the grading period(s) and denied acceptance of late work. Required hard copy of any electronically submitted assignment is to be turned in upon next day present. Class Participation- Each student is expected to be attentive, to ask questions, and to interact positively and appropriate in the classroom environment. If you are having difficulty, please ask question during class or arrange for tutorial assistance promptly. Each student is expected to be on task, complete all assignments timely, have homework checked when possible, and to always show respective, orderly, conduct even when unsupervised. Examinations Dates for major test/exams will generally be announced at least one week in advance. Additional time will not be given to students arriving late and must be completed in the allotted class time. Students are responsible for having a non-graphing, non-programmable scientific calculator (if permissible), pencils, and loose-leaf paper. For certain tests this will be the only calculator allowed. The use of any unauthorized calculator will result in a zero for that assignment. 4

5 Make-up work - It is the student s responsibility to request missed work and turn in assignments timely. Students are encouraged to have a classmate to call for missed HW assignments or notes and check their /class web page. In Class Tests/Quizzes will be taken during the next class meeting the student is present. Since this means students will miss instructional time it is imperative that every attempt is made to be present on testing days. Discuss any extenuating circumstances with your instructor promptly. Work due on the date of an absence must be ed, faxed, or delivered to the teacher. No Written Assignment will be accepted late without proper completion of Pink-slip. All late work may be accepted at the sole discretion of the instructor and, if accepted, will be penalized ten percent for each school day late. For planned/prior approved absences assignments should be completed prior to the absence unless other arrangements are made with the instructor. It is the student s responsibility to notify the instructor of these events and request work in a timely matter. Snow or Delayed Class Schedule Always check your /blackboard promptly for assignment. Complete the next assignment on tentative HW sheet as available; or read the next section in text and complete odd problems should no new posting be available. Delayed class weather schedules follow Pittsylvania County announcements and are posted to the PGSMST website. Materials to be turned in at the Final Exam: Any materials issued that are the property of PGS, Practice Exam and all graded papers. IMPORTANT DATES FOR THE SEMESTER W Aug 9 F August 25 M Sept 4 M Sept 18 F Oct 20 M Oct 9 F Oct 27 T Nov 7 W Nov 22 F Nov 24 W Dec 20 Week of Dec Dec 21 Jan 5 M Jan 8 M Jan 15 F Feb 16 TH Mar 29 March 30 April 6 May 1 thru May 12 May 15 May 23 W May 23 Tutorial Sessions available upon request Classes begin DCC credit: Last day to withdraw no grade issued Holiday End MP1 DCC credit: Last day to withdraw w/o mitigating circumstances (W grade issued) Teacher Workday (no classes) End MP2 Teacher Workday (no classes) Fall Break End MP3 and S1 Midterm Exam to be scheduled Winter Break (Jan 4 & 5 Teacher Workdays) S2 Classes begin Holiday End MP4 End MP5 Spring Break Holiday AP Testing Dates (2 wks) Final Exam Week (tentative) End MP6 and S2 Make prior arrangements with teacher (available times: 7 am 7:40) Dates subject to change due to snow days 5

6 DCC TUTORING AND AVAILABLE ASSISTANCE: Free tutoring, both on-campus and online, is offered to students enrolled in DCC classes. Tutoring is offered in a variety of subject areas. For on-campus tutoring, come to the Tutoring Center in the Learning Resources Center or call (434) to schedule a CRLA certified tutor. Smarthinking is an online tutoring service offered by DCC that can be accessed through your Blackboard course. Go to your Blackboard course; select Tools ; then look for DCC Smarthinking.. For more information on either Smarthinking or on-campus tutoring, link to COMPUTER RIGHTS AND RESPONSIBILITIES PGSMST and the college attempt to provide appropriate computing resources to its students, faculty, and staff. The objective is to provide users with the level of computer technology to effectively perform their academic and administrative duties. It is imperative that students read and adhere to proper computer usage for both PGSMST as well as the Computer Ethics Guidelines governing the use of all DCC VCCNet resources. PLAGIARISM and ACADEMIC DISHONESTY Academic dishonesty includes collaborating with other students on take-home examination or other noncollaborative assignments; presenting the work of others as your own; failing to document adequately any research from printed materials or internet sources; and cheating on tests. Disciplinary action will be pursued for all acts of academic dishonesty and may result in the failure of affected assignments as well as this class as determined by the instructor and Director. STUDENTS WITH SPECIAL NEEDS Any student with special needs or circumstances should feel free to meet with me confidentially. PGSMST and Danville Community College is committed to meeting the needs of all students and providing access for persons with disabilities. Reasonable accommodations are available to those students with diagnosed disabilities. For more information, please contact the DCC ADA Counselor at (434) DUAL ENROLLMENT This class is designated as a dual enrollment course that is offered by Danville Community College. Dual enrollment students are taking the course for college credit and are not required to complete the advance placement exam. Students pursuing the AP option may of course select to take the AP exam at a time offered by the school division. Any students or parents with questions should contact Dr. Debra Holley, DCC (dholley@dcc.vccs.edu; ). Danville Community College Recorded Lecture Agreement Policy Lectures taped for personal study use by this student may not be shared with other people without the consent of the lecturer. Recorded lectures may not be used in any way against the faculty member, other lecturers, or students whose classroom comments are taped as part of the class activity. Information contained in the recorded lecture is protected under federal copyright laws and may not be published or quoted without the express consent of the lecturer and without giving proper identify and credit to the lecturer. DCC Title IX (Sexual Harassment and Misconduct): Your Rights and How to Make a Report Consistent with its mission, Danville Community College is committed to providing a learning and working environment that emphasizes the dignity and worth of every member of its community. Sexual misconduct, which encompasses a range of behavior used to obtain sexual gratification against another s will or at the expense of another in any form will not be tolerated. Sexual misconduct includes sexual harassment, sexual assault, sexual exploitation, and sexual violence. Sexual harassment is unwelcome conduct of a sexual nature, which can include unwelcome sexual advances, requests for sexual favors, or other verbal, nonverbal, or physical conduct of a sexual nature. Thus, sexual harassment prohibited by Title IX can include conduct such as touching of a sexual nature; making sexual comments, jokes, or gestures; writing graffiti or displaying or distributing sexually explicit drawings, pictures, or written materials; calling students sexually charged names; spreading sexual rumors; rating students on sexual activity or performance; gender-based stalking or bullying; conditioning a benefit on submitting to sexual advances; or circulating, showing, or creating s or websites of a sexual nature. Under Title IX, this constitutes sexual misconduct and includes rape or sexual assault. If you have been the victim of sexual harassment or other sexual misconduct, you have certain rights under Title IX. For additional information regarding your rights, please consult the DCC Title IX website at 6

7 In accordance with College policy and federal law, all faculty and staff members are required to report incidents of sexual harassment including sexual violence to one of the individuals below whose responsibility it is to investigate all complaints. In addition, you can contact these individuals for a complaint against a Danville Community College faculty or staff member for sexual harassment, sexual assault, sex discrimination, or other forms of sexual misconduct: Title IX Coordinator: Mr. Howard Graves Wyatt Building, Room titleix@dcc.vccs.edu hgraves@dcc.vccs.edu NOTE: Please see me should there be any questions; if in doubt ask. I look forward to working with you to enhance your mathematical abilities. Feel free to discuss any concerns you may be experiencing during your free time or at the end of class. This syllabus is subject to change at the discretion of the instructor to accommodate instructional and/or student needs. It is the responsibility of the student to keep abreast of such changes which will be posted to Blackboard. SUCCESS = 1. POSITIVE ATTITUDE 2. LISTEN 3. TAKE NOTES 4. DO HOMEWORK 5. CORRECT MISTAKES 6. PARTICIPATE Failing to prepare is like preparing to fail. -football player 7

Math 181, Calculus I

Math 181, Calculus I [Semester] [Class meeting days/times] [Location] INSTRUCTOR INFORMATION: Name: Office location: Office hours: Mailbox: Phone: Email: Required Material and Access: Textbook: Stewart,