Math 2413.006 Calculus I Fall 2017 Department of Mathematics Texas A&M University- Kingsville 700 University Blvd Kingsville, TX, 78363 Basic Information Dr. Simona Hodis Lecture: TR 9:30-10:45 ENGC 138 Rhode Hall 233 Recitation: MW 10:00-10:50 RHOD 243 Phone: (361) 593-2236 Office Hours: MW 10:00 am - 1:00 pm Email: simona.hodis@tamuk.edu Prerequisites: Textbook: webpage: MATH 1348 (Analytic Geometry). E-book through WebAssign: James Stewart, Calculus, Early Transcendentals, 8 th Ed., Brooks/Cole, Cengage Learning (2015). https://webassign.net/ This is the course website where you have access to the electronic version of the textbook (no need to buy a hardcopy) and all the quizzes will be submitted. Buy access ($100 - single semester or $125 - lifetime) to Webassign within the first week of class, since the free trial is only for 14 days from the first day of class. After the purchase, you will register to the class using the following code: Instructor Section Class Key Simona Hodis Math 2413, section 006 tamuk 3634 1925 description: objectives: Student Learner Outcomes: Limits and continuity. Definition of the derivative of a function and techniques of differentiation. Applications of the derivative to maximizing or minimizing a function, curve sketching, and rate of change problems. Introduction to the integral of a function and applications to areas. 4 semester credits. The course develops tools to interpret and solve problems using differential calculus, i.e., have an intuitive understanding of and appreciation for the limit concept; be able to investigate limits analytically, numerically, and graphically; understand the concept of derivative as a rate of change, and be able to express problems involving rates of change in terms of derivatives; understand, and be able to carry out, some of the rules of differentiation; be able to form the derivative of elementary functions; be able to apply the notion of derivative to problems of optimization and local approximation; be able to relate the behavior of the derivative of a function to the graph of the function; understand the concept of definite integral as a limit of sums; understand the concept of integral as antiderivative; be able to carry out some simple techniques of integration; be able to perform some basic numerical integrations. Upon successful completion of the course, the student should be able to: determine analytically the limit of various expressions; estimate limits using numerical and graphical data; illustrate rules for differentiation by applying them to various functions; determine whether function is continuous or not; set up and solve various optimization problems using ideas from calculus; analyze graphs using ideas from calculus; evaluate definite integrals using basic integration formulas, substitution method and the fundamental theorem of calculus. 1
Student Evaluation and Grading Policy Grading criteria: Grading policy Scale Homework: 25% A: 90-100 Test 1: 15% B: 80-89 Test 2: 15% C: 70-79 Test 3: 15% D: 60-69 Final exam: 30% F: 0-59 Class meeting In the class time I will provide only the fundamentals of the new material and much of our class time will be dedicated to working practice problems and real-life examples. Active participation is expected at different levels, from working in groups to volunteering to present the solution of the problems at the board. First couple of minutes of each class will be dedicated to address the difficulties arising from the homework problems, so come prepared with questions. Handouts: Homework: Tests: Final Exam Calculator Cell phone policy Make-up policy Attendance Policy Important Dates You will be able to find a copy of the handouts distributed in class posted on the course webpage. All the announcements, cancellations, homework and grades are through Webassign website. Please check the webpage regularly to keep yourself up-todate. Every class meeting you will be assigned with practice problems on Webassign. The practice problems are not graded, but the tests and the written homework will consist of problems chosen from the practice problems. The written homework is to be submitted for grading and will be due within one week from the date it was assigned. You need to show your work in full written details; simple answers from the back of the book or calculators are not acceptable. Calculators may be used for the practice problems or written homework only if it is suggested by the text of the problem. There will be three tests in total. The tests are in-class, closed-book and no-calculator allowed. All students enrolled must plan to take the tests at their scheduled times. If you miss a test due to an unexcused absence, you will get a zero on that test and the final exam score will be used to replace the missing test grade. Final exam is comprehensive and must be taken according to the university final schedule. Final exam is on Monday, December 11 th, 4:00-6:30 pm. If you earn a score on the final exam that is higher than the average of the three tests, the final exam score will replace the lowest test score. A calculator is not needed, but instead we will use MATLAB (or its free version, GNU Octave) and GeoGegbra for 3D visualization. Cell phone and computers are disruptive. You should turn off and put them away while you are in class. If you know that you might be getting a call of serious nature, you must let me know ahead of class and I will allow you to step outside to answer it. No make-up exams will be given. Attendance is not a part of your grade in the course, but it is very highly recommended. You are responsible for all material covered in class and all assignments. Experience has shown a definite correlation between poor class attendance and low grades. November 1 st Last day to drop or withdraw with Q. 2
University Policies Six Drop Policy: The following provision does not apply to students with Texas public college or university credits prior to Fall 2007. The Texas Senate Bill 1231 specifies the number of course drops allowed to a student without penalty. After a student has dropped six courses, a grade of QF will normally be recorded for each subsequent drop. Additional information on Senate Bill 1231 is available at the Registrars Office at (361) 593-2811 and at http : //www.tamuk.edu/registrar/drop policy.html. Students with The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides com- Disabilities: prehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disability. If you believe you have a disability requiring an accommodation please contact the Disability Resource Center (DRC) as early as possible in the term at (361) 593-2904. DRC is located in the Life Service and Wellness building at 1210 Retama Drive. Classroom Conduct Expectations: Students are referred to the Student Code of Conduct section of the Student Handbook http : //www.tamuk.edu/dean/dean f iles/studenthandbook.pdf. Students are expected to assume individual responsibility for maintaining a productive learning environment and conduct themselves with the highest regard for respect and consideration of others. Ongoing or single behaviors considered distracting will be addressed by the faculty member initially, but if the behavior becomes excessive and the student refuses to respond to the faculty members efforts, the issue will be referred to the Dean of Students. In the case of serious disruptive behavior in a classroom, the instructor will first request compliance from the student and if the student fails to comply, the instructor has the authority to ask the student to leave the classroom. The student is expected to comply with the instructors request and may subsequently contest this action using procedures established by the department. If the student fails to leave after being directed to do so, assistance may be obtained from other university personnel, including the University Police Department. The incident shall be handled as an academic misconduct matter using established departmental procedures for academic misconduct to determine if the student should be allowed to return to the classroom. Academic Students are expected to adhere to the highest academic standards of behavior and personal conduct Misconduct: in this course and all other courses. Students who engage in academic misconduct are subject to University disciplinary procedures. Students are expected to be familiar with the current Student Handbook, especially the section on academic misconduct, which discusses conduct expectations and academic dishonesty rules. Academic dishonesty includes but is not limited to: 1. Cheating: deception in which the student misrepresents that he/she has mastered information on an academic exercise that he/she has not mastered; giving or receiving aid unauthorized by the professor on assignments or examinations. 2. Aid of academic dishonesty: Intentionally facilitating any act of academic dishonesty. Tampering with grades or taking part in obtaining or distributing any part of a scheduled test. 3. Fabrication: use of invented information or falsified research. 4. Plagiarism: unacknowledged quotation, and/or paraphrase of someone else s work, ideas, or data as one s own in work submitted for credit. Failure to identify information or essays from the Internet and submitting them as ones own work also constitutes plagiarism. Please be aware that the University subscribes to the Turnitin plagiarism detection service. Your paper may be submitted to this service at the discretion of the instructor. 5. Lying: deliberate falsification with the intent to deceive in written or verbal form as it applies to an academic submission. 6. Bribery: providing, offering or taking rewards in exchange for a grade, an assignment, or the aid of academic dishonesty. 7. Threat: an attempt to intimidate a student, staff or faculty member for the purpose of receiving an unearned grade or in an effort to prevent reporting of an Honor Code violation. Other forms of academic misconduct include but are not limited to: 1. Failure to follow published departmental guidelines, professor s syllabi, and other posted academic policies in place for the orderly and efficient instruction of classes, including laboratories, and use of academic resources or equipment. 2. Unauthorized possession of examinations, reserved library materials, laboratory materials or other course related materials. 3
3. Failure to follow the instructor or proctor s test-taking instructions, including but not limited to not setting aside notes, books or study guides while the test is in progress, failing to sit in designated locations and/or leaving the classroom/ test site without permission during a test. 4. Prevention of the convening, continuation or orderly conduct of any class, lab or class activity. Engaging in conduct that interferes with or disrupts university teaching, research or class activities such as making loud and distracting noises, repeatedly answering cell phones/text messaging or allowing pagers to beep, exhibiting erratic or irrational behavior, persisting in speaking without being recognized, repeatedly leaving and entering the classroom or test site without authorization, and making physical threats or verbal insults to the faculty member, or other students and staff. 5. Falsification of student transcript or other academic records; or unauthorized access to academic computer records. 6. Nondisclosure or misrepresentation in filling out applications or other university records. 7. Any action, which may be deemed as unprofessional or inappropriate in the professional community of the discipline being studied. Harassment/ Discrimination: Texas A&M University-Kingsville does not tolerate discrimination on the basis of race, color, religion, national origin, age, disability, genetic information, gender, gender identity or sexual orientation (or any other illegal basis) and will investigate all complaints that indicate sexual harassment, harassment, or discrimination may have occurred. Sexual harassment and sexual assault are types of sex discrimination. Such sexual misconduct is unacceptable and will not be tolerated. Any member of the university community violating this policy will be subject to disciplinary action. A person who believes he/she has been the victim of sexual harassment or unlawful discrimination may pursue either the informal or the formal complaint resolution procedure. A complaint may be initially made to the Office of Compliance at (361) 593-4758, complainant s immediate supervisor, a department head, a supervisory employee, or the Dean of Students at (361)-593-3606 or the Office of Compliance at (361) 593-4758. Regardless of whom the complaint is filed with, the Compliance Office will be notified of the complaint so it can be investigated. 4
Schedule Week Tuesday Thursday W 1 August 24 1.3, 1.5, 1.6 W 2 August 29 August 31 2.1, 2.2 2.3 W 3 September 5 September 7 2.4, 2.5 2.6; 2.7 W 4 September 12 September 14 2.7 (cont.), 2.8 Review Ch. 2 W 5 September 19 September 21 Test 1 3.1, 3.2 W 6 September 26 September 28 3.3, 3.4 3.5, 3.6 W 7 October 3 October 5 3.7, 3.8 3.9 W 8 October 10 October 12 3.10, 3.11 Review Ch. 3 W 9 October 17 October 19 Test 2 4.1, 4.2 W 10 October 24 October 26 4.3, 4.4 4.5, 4.6 W 11 October 31 November 2 4.7, 4.8, 4.9 Review Ch 4 W 12 November 7 November 9 Test 3 5.1 W 13 November 14 November 16 5.1 (cont.) 5.2, 5.3 W 14 November 21 November 23 5.4, 5.5 Thanksgiving Holiday W 15 November 28 November 30 5.5 (cont.) Review Final W 16 December 5 Dead week Review Final Final Exam Monday, December 11 th 4:00 pm - 6:30 pm This schedule is subject to change. Topics Chapter 1. Functions and Models: 1.3 New Functions from Old Functions; 1.5 Exponential Functions; 1.6 Inverse Functions and Logarithms. Chapter 2. Limits and Derivatives: 2.1 The Tangent and Velocity Problems; 2.2 The Limit of a Function; 2.3 Calculating Limits Using the Limit Laws; 2.4 The Precise Definition of a Limit; 2.5 Continuity; 2.6 Limits at Infinity; Horizontal Asymptotes; 2.7 Derivatives and Rates of Change; 2.8 The Derivative as a Function. Chapter 3. Differentiation Rules: 3.1 Derivatives of Polynomials and Exponential Functions; 3.2 The Product and Quotient Rules; 3.3 Derivatives of the Trigonometric Functions; 3.4 The Chain Rule; 3.5 Implicit Differentiation; 3.6 Derivatives of Logarithmic Functions; 3.7 Rates of Change in the Natural and Social Sciences; 3.8 Exponential Growth and Decay; 3.9 Related Rates; 3.10 Linear Approximations and Differentials; 3.11 Hyperbolic Functions. Chapter 4. Applications of Differentiation: 4.1 Maximum and Minimum Values; 4.2 Mean Value Theorem; 4.3 How Derivatives Affect the Shape of a Graph; 4.4 Indeterminate Forms and L Hospital s Rule; 4.5 Summary of Curve Sketching; 4.7 Optimization Problems; 4.8 Newton s Method; 4.9 Antiderivatives. Chapter 5. Integrals: 5.1 Areas and Distances; 5.2 The Definite Integral; 5.3 The Fundamental Theorem of Calculus; 5.4 Indefinite Integrals and the Net Change Theorem; 5.5 The Substitution Rule. 5