UNIVERSITY OF ARKANSAS AT MONTICELLO

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1 Instructor: Dr. V. Lynn Fox UNIVERSITY OF ARKANSAS AT MONTICELLO School of Mathematical and Natural Sciences MATH 2255 (ACTS # Math 2405) Calculus I Course Syllabus Fall 2014, MW 8:10 9:00, TH 8:00 9:30 SC A1 Office, Phone Number, and Science Center, Room A-24, , fox@uamont.edu Office Hours: MWF 10:00 12:00, Friday only 8:00 9:00, TH 9:30 11:00, TH 12:30 1:30 Course Title and Credit Hours: MATH 2255 (ACTS Equivalent # Math 2405), Calculus I, 5 credit hours Course Objectives: The purpose of this course is developing the fundamentals of differential and integral calculus, which includes both the ability to perform manipulations and conceptual understanding of basic themes. Specific objectives are: 1. To understand the concepts of limit and continuity, including the ability to calculate limits of various functions. 2. To understand the concept of derivative as both a rate of change and a function, including the ability to calculate the derivative of various functions. 3. To apply the understanding of derivatives to real-world problems. 4. To understand the concept of integral as limit of Riemann Sums and the relationship between the derivatives and the definite integrals as expressed in the Fundamental Theorem of Calculus. Student should learn how to calculate integrals using various techniques. Prerequisites: Trigonometry, MATH 1033(ACTS Equivalent #Math 1203), and College Algebra, Math 1043(ACTS Equivalent #Math 1103), or Precalculus, MATH 1175(ACTS Equivalent # Math 1305). Required textbooks, workbooks, supplementary materials: 1. Calculus Concepts and Contexts by James Stewart, fourth edition, published by Thompson- Brooks/Cole, ISBN A WebAssign access code. This code can be purchased at a local bookstore or online at 3. All students must have access to a graphing calculator. Strongly recommended models are TI-83, TI-83 Plus or the TI-84 Plus. Other calculators of equal capability may be used, but it is the student s responsibility to understand how to use them. A Texas Instruments TI-89 graphing calculator is recommended for checking your answers. Calculators such as the TI-89 that have a CAS system should not be used in the class because they are not allowed on the examinations. 4. Login/Access to the course BlackBoard account. Student Learning Outcomes: At the successful conclusion of this course, students should (1) understand the concepts of limit and continuity, including the ability to calculate limits of various functions; (2) understand the concept of derivative as both a rate of change and a function, including the ability to calculate the derivative of various functions; (3) apply the understanding of derivatives to real-world problems; (4) understand the concept of integral as limit of Riemann Sums and the relationship between the derivatives and the definite integrals as expressed in the Fundamental Theorem of Calculus; (5) be able to calculate integrals using various techniques.

2 Special Policies: Make-up Policies: 1. There are no makeup tests, homework assignments, or quizzes. No exceptions. 2. If a test is missed, the final exam percentage will replace the first missed test score. If more than one test is missed, the student will receive a zero for the 2 nd and subsequent missed tests. If no tests are missed, the final exam score, if higher, will replace the lowest test score. Due to this policy and special policy #1, please do not ask for a make-up test. 3. I will drop the lowest quiz grade. Due to this policy and special policy #1, please do not ask for a make-up quiz. 4. I will drop the 7 lowest homework assignments at the end of the semester. Due to this policy and special policy #1, please do not request an extension on homework. 5. If you will miss an exam or a quiz due to a University extracurricular activity, you must arrange to take the exam/quiz before the scheduled assessment date. If you fail to do this, it will be treated as a regular missed exam or quiz. Due to this policy, and special policies #1 - #3, please do not ask for a make-up test/quiz if you miss a test/quiz due to a university extracurricular activity. Attendance Policy: 6. Attendance will be recorded. A last date of attendance will be reported to the registrar s office for a student with 6 absences. This may result being dropped from this class. Cell Phone/Computer Policy: 7. The use of cell phones and/or other electronic devices for educational purposes during lecture is allowed. The use of cell phones and/or other electrical devices for communication and/or entertainment purposes during lecture is not allowed. Students that violate this policy will be in violation of the disorderly conduct clause in the Student Conduct Code and removed from class. 8. The use or presence of a cell phone and/or other electronic devices with the exception of a graphing calculator (not a CAS enabled calculator) during test periods is strictly not allowed and will be considered as an incident of cheating. Students that violate this policy will receive an F for the exam. General Requests: Please do not make last-minute requests for help. If you have questions about class material, feel free to ask before the day of the assessment and I will be glad to help. However, by the day of an exam or quiz, it is generally too late to ask for help. Also, please do not ask for bonus. I have opportunities for dropping/replacing low grades built into the Special Policies for the course. Take advantage of these opportunities, for they are all you will receive.

3 Course Content and Outline: This outline is tentative and will be revised as needed. Unit/Assessment Topics Assignments Unit 1 : Review of Algebra Quiz #1 Unit 2: Limits, Tangents, and Continuity TEST #1 Unit 3: Quiz #2 Unit 4: Differentiation Rules TEST #2 Unit 5: Applications of Quiz #3 1. Representations of Functions 2. Essential Functions 3. New Functions from Old Functions 4. Graphing Calculators 5. Exponential Functions 6. Inverse Functions and Logarithms Review of Algebra Homework #1-6; 1. Tangent and Velocity Problems 2. Limit of a Function 3. Calculating Limits Homework #7 12; 4. Continuity 5. Limits involving Infinity 6. and Rates of Change Unit 1: Review of Algebra, Unit 2: Limits, Tangents, Continuity 1. The Derivative as a Function 2. Using to analyze 3. of Polynomials and Exponential Functions 4. Product and Quotient Rules 1. of Trig Functions 2. The Chain Rule 3. Implicit Differentiation 4. Inverse Trig Functions and Their 5. of Logarithms 6. Rates of Change 7. Linear Approximations Unit 3:, Unit 4: Differentiation Rules 1. Related Rates 2. Maximum and Minimum Values 3. and the Shapes of Curves 4. Graphing with Calculus 5. Indeterminate Forms and l Hospital s Rule Applications of Continued on the next page Homework #13 16; Homework #17 23; Homework #24 28; Due/Assessment Date September 3 September 4 September 22 September 23 October 6 October 6 October 15 October 16 October 29 October 30

4 Unit 6: Connecting to Integrals 1. Optimization 2. Newton s Method 3. Antiderivatives Homework #29 31; November 10 TEST #3 Unit 7: Integration Test #4 Unit 5: Applications of, Unit 6: Connecting to Integrals 1. Area and Distances 2. The Definite Integral 3. Evaluating Definite Integrals 4. The Fundamental Theorem of Calculus 5. The Substitution Rule 6. Integration by Parts Integration TEST #5 Final Exam (Comprehensive, Units 1 7) Homework #32 37; November 11 December 3 December 4 December 10, 1:30 3:30 Provisions for tests and evaluations: Please review Special Policies #1 5, and #8. You will need a scantron, a pencil, and a graphing calculator (not a CAS enabled calculator) for each exam. Grading Scale: A= B= C= D= F= 59 and below Grading Policy: Each student s grade will be determined by homework, tests, quizzes and a final exam. Homework is assigned and graded through WebAssign ( tests/quizzes cover those topics presented in the text and lecture, and the final exam is comprehensive. The course grade is determined as follows: Homework (37 assignments, drop the lowest 7 grades): 150 points Tests (4 regular tests points each): 600 points Quizzes (3 quizzes, drop the lowest quiz grade, 50 points each): 100 points Final Exam (Comprehensive Test points): 150 points Total Possible Points: 1000 points WebAssign: WebAssign is a necessary component of the course. To register for the course at you will need three things : 1. A course code our course code is uamont A working you check regularly 3. A WebAssign access code You may purchase an access code at the UAM bookstore (or similar venue) or at If you are waiting on financial aid, you can choose temporary access during the registration process. WebAssign will then give you a 10-day access to the course. Once the trail period is over, you will need to purchase and enter an access code.

5 BlackBoard: BlackBoard will function as the class webpage. I will post section notes on BlackBoard as well as other handouts for the course. Special dates of concern: August 20 First day of classes August 22 Last day to register or add classes September 1 Labor Day Holiday, Offices and Classes Closed October 29 Last day to drop classes. Grade(s) will be W. November 3 Spring Preregistration starts November 14 Spring Preregistration ends November 26 Classes closed November Thanksgiving Holiday, Offices and Classes Closed December 5 Last day of classes December 10 1:30 to 3:30 p.m., Final Exam Students with disabilities: It is the policy of the University of Arkansas at Monticello to accommodate individuals with disabilities pursuant to federal law and the University s commitment to equal educational opportunities. It is the responsibility of the student to inform the instructor of any necessary accommodations at the beginning of the course. Any student requiring accommodations should contact the Office of Special Student Services located in Harris Hall Room 120; phone ; TDD ; Fax ; whitingm@uamont.edu. For assistance on a College of Technology campus contact: McGehee: Office of Special Student Services representative on campus; room 300; phone ; fax Crossett: Office of Special Student Services representative on campus; room A-5; phone ; fax Student conduct statement: Students at the University of Arkansas at Monticello are expected to conduct themselves appropriately, keeping in mind that they are subject to the laws of the community and standards of society. The student must not conduct him/herself in a manner that disrupts the academic community or breaches the freedom of other students to progress academically. Academic dishonesty: 1. Cheating: Students shall not give, receive, offer, or solicit information on examinations, quizzes, etc. This includes but is not limited to the following classes of dishonesty: a. Copying from another student s paper; b. Use during the examination of prepared materials, notes, or texts other than those specifically permitted by the instructor; c. Collaboration with another student during the examination; d. Buying, selling, stealing, soliciting, or transmitting an examination or any material purported to be the unreleased contents of coming examinations or the use of any such material; e. Substituting for another person during an examination or allowing such substitutions for oneself. 2. Collusion: Collusion is defined as obtaining from another party, without specific approval in advance by the instructor, assistance in the production of work offered for credit to the extent that the work reflects the ideas of the party consulted rather than those of the person whose name in on the work submitted. 3. Duplicity: Duplicity is defined as offering for credit identical or substantially unchanged work in two or more courses, without specific advanced approval of the instructors involved. 4. Plagiarism: Plagiarism is defined as adopting and reproducing as one s own, to appropriate to one s use, and to incorporate in one s own work without acknowledgement the ideas or passages from the writings or works of others. For any instance of academic dishonesty that is discovered by the instructor, whether the dishonesty is found to be cheating, collusion, duplicity, or plagiarism, the result for the student(s) involved will a zero for the assignment on the first instance and a grade of an F for the class for the second instance.

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,