# MATHEMATICS 1501 A Calculus I

MATHEMATICS 1501 A Calculus I Summer Semester 2021 M,T,W,R,F 4:00PM-5:20PM In D2L COVID-19 Statement Creating a Healthy Environment At Gordon State College, we are committed to the health and safety of our students, faculty and staff. Since March 2020, our campus has been addressing the impact of the Coronavirus (COVID-19) on a daily basis. The return to campus will be based on a new reality where adjustments will be made to every facet of the “on-campus” experience. This will truly be a “Power of WE!” moment, as the safety of the entire campus will depend on our institutional values. You will be expected to follow “The Healthy Highlander Way“ as you participate in classes that require class attendance. Posters describing the Healthy Highlander Way are displayed in each building on campus and can be found in the “Return to Campus Guide” linked to the GSC home page. If you have one of the symptoms of COVID-19, you should notify your professor, stay home, and contact your personal physician prior to returning to campus. Commuter students should also notify the Student Health Center at healthcenter@gordonstate.edu. In addition, residential students should contact their Community Assistant and schedule an appointment with the Student Health Center at 678-359-5456. One of the most effective ways to stop the spread of the virus is wearing a face covering. You must wear a face covering at all times when in public on any Gordon State College campus. Anyone not using a face covering when required will be asked to wear one or leave the area. Repeated refusal to comply with the requirement may result in discipline through the applicable code of conduct for students. If you are a student with one of the underlying medical conditions identified in the “Return to Campus Guide” and you would like to apply for accommodations due to being at a higher risk for severe illness with COVID-19, please contact Counseling & Accessibility Office at 678-359-5585 or email the Director of Counseling and Accessibility Services Alicia Dorton at aliciad@gordonstate.edu. Making a commitment to The Healthy Highlander Way will allow our campus to remain as safe as possible during this semester. Being prepared for Class during the Pandemic Although some courses will meet in a full face-to-face format, most classes for this term will meet online or in a hybrid format. In addition, all classes will shift online after Thanksgiving for the remainder of the term. All students should be prepared at a minimum to: Meet an online class session synchronously (at the time of the class or a set time with the professor) Take a proctored exam using an outside proctor All students should, as a minimum, have access to: A laptop or desktop computer (5 or fewer years old). Tablets, Chromebooks, and phones will not be sufficient. Operating system: o Windows 10 Home or Pro (“streamlined” versions such as Windows 10S are not supported), or o macOS 10.13 or higher Webcam with a working microphone (often this is integrated/included with laptops but USB webcams can also be utilized) Access to a broadband Internet connection (& access to an Ethernet cable, preferably) Microsoft Office Suite (Word, PowerPoint, Outlook, etc.). Download it here for free (via Gordon State College. Make sure to create your account using your Gordon email.) A working Internet browser that is compatible with D2L: Microsoft® Edge, Mozilla® Firefox®, Google® Chrome™, Apple® Safari®. Students can check their devices’ compatibility via this checker. Other suggested features include: Processor: minimum Intel Core i3 or equivalent RAM/Memory: 8GB or higher Storage: 128GB internal hard drive or larger (256+GB solid state drives preferred, but not required) Be aware that your individual course may have other technology requirements. Finally, it is highly recommended that you download the Brightspace by D2L Pulse App for your smartphone or tablet. Due to COVID-19 Pandemic, we will be conducting the course online. We will be using Cengage WebAssign for HW and testing including the FE. But, we will also use D2L for tele-conferencing Lectures, discussion and office hours. Starting 5/25/21, we will conduct the lectures, and office hours in D2L. Check your campus email for instructions on how to log in D2L and how to join the session. Attendance is not required; all lectures will be recorded in D2L. INSTRUCTOR: Dr. M. Zabdawi OFFICE: Instructional Complex: IC 234 OFFICE HOURS: M,W,F OFFICE PHONE: (678) 359-5839 : But, Contact me by email E-MAIL: mzabdawi@gordonstate.edu W EB PAGE: www.gdn.edu/faculty/mzabdawi PREREQUISITE: Pre-Calculus: Math 1113 CREDIT: 4 semester credit hours CALCULATOR: TEXT: TI-83/TI-84 is required. Calculus by James Stewart, 8th edition: Do not buy the text book. 1:00PM-2:00PM in D2L Buy Cengage WebAssign with E-Book, ISBN: 9781337771429 Important: Eating, drinking, or chewing gum is not allowed in any of my classes. Title IX Gordon State College is committed to providing an environment free of all forms of discrimination and sexual harassment, including sexual assault, domestic violence, dating violence and stalking. If you (or someone you know) has experienced or experiences any of these incidents, know that you are not alone. All faculty members at Gordon State College are mandated reporters. Any student reporting any type of sexual harassment, sexual assault, dating violence, domestic violence or stalking must be made aware that any report made to a faculty member under the provisions of Title IX will be reported to the Title IX Coordinator or a Title IX Deputy Coordinator. If you wish to speak with someone confidentially, you must contact the Counseling and Accessibility Services office, Room 212, Student Life Center. The licensed counselors in the Counseling Office are able to provide confidential support. Gordon State College does not discriminate against any student on the basis of pregnancy, parenting or related conditions. Students seeking accommodations on the basis of pregnancy, parenting or related conditions should contact Counseling and Accessibility Services regarding the process of documenting pregnancy related issues and being approved for accommodations, including pregnancy related absences as defined under Title IX. ADA and 504 If you have a documented disability as described by the Americans with Disabilities Act (ADA) and the Rehabilitation Act of 1973, Section 504, you may be eligible to receive accommodations to assist in programmatic and/or physical accessibility. The Counseling and Accessibility Services office located in the Student Center, Room 212 can assist you in formulating a reasonable accommodation plan and in providing support in developing appropriate accommodations to ensure equal access to all GSC programs and facilities. Course requirements will not be waived, but accommodations may assist you in meeting the requirements. For documentation requirements and for additional information, contact Counseling and Accessibility Services at 678-359-5585. House Bill 280 For information regarding House Bill 280, see the University System of Georgia at the following link: http://www.usg.edu/hb280 Religious Holidays Gordon State College acknowledges that the academic calendar can sometimes conflict with major holidays from among our diverse religious traditions. If a student must miss class due to the observance of a religious holiday, that absence may be excused. To be excused, the student must inform his/her instructors before the absence and make alternate arrangements for any work due at the time of the absence. An excused absence for the observance of a religious holiday does not excuse student from responsibility for required course work. Hightower Collaborative Learning Center & Library The Hightower Collaborative Learning Center & Library offers Gordon State students specialized library research assistance. Students can meet with their personal librarians for one-on-one help in each discipline, major, or course to search and evaluate information sources effectively. Go to schedule an appointment by clicking the Personal Librarian tab or click on the Presentation Practice Room tab to make a reservation. For immediate help, call 678-359-5076 or stop by the Circulation/Check-Out Desk. You can also or drop by the Circulation/Check-Out Desk. Check the library’s for , , and (subject- or class-specific research guides). COURSE DESCRIPTION This course is a survey of foundational algebra including real numbers, exponents, polynomials, factoring, equations, inequalities, linear functions, quadratic functions, logarithmic functions, and exponential functions. Classes will consist of lecture, discussion, and problem-solving. This course should provide the student with the algebraic skills and concepts for studying calculus and other courses in science and mathematics. A primary goal of this course is to encourage students to think and to improve their logical reasoning abilities. The course emphasizes the use of algebraic skills and mathematical reasoning in problem solving. This course will emphasize student preparation, critical thinking, and problem solving. To do well in the course, you must read the assignment and prepare questions, do problems from the text, and prepare for test by reviewing those problems worked in class and at home. Over the course of the semester, you should devote about two hours of outside work for each hour in class. College Algebra demands your time and effort! First, study the examples worked in class as well as those in the textbook, then practice, practice, practice problems. This course, as many other courses, will emphasize the written communication of ideas to others. In this course, you will be communicating mathematical ideas. Just as it is important in an English course to use the proper format in your essays and term papers, it is important to use proper form when communicating mathematical ideas. You will learn how to write mathematics so that it can be understood by others. You should carefully study how mathematics is written in class as well as how it is written in the textbook. You should pattern your writing after these sources COURSE DESCRIPTION This course includes a variety of topics in differential and integral calculus. These include an analysis of functions, limits, continuity, derivatives, anti-derivatives, the indefinite & definite integrals, and applications. This course will emphasize student preparation, critical thinking, and problem solving. To do well in the course, you must read the assignments and prepare questions, do problems from the text, and prepare for test by reviewing those problems worked in class and at home. Over the course of the semester, you should devote about two hours of outside work for every hour in class. Calculus demands your time and effort! First, study the examples worked in class as well as those in the textbook, then practice, practice, practice problems. This course, as many other courses, will emphasize the written communication of ideas to others. In this course, you will be communicating mathematical ideas. Just as it is important in an English course to use the proper format in your essays and term papers, it is important to use proper form when communicating mathematical ideas. You will learn how to write mathematics so that it can be understood by others. You should carefully study how mathematics is written in class as well as how it is written in the textbook. You should pattern your writing after these sources. COURSE OBJECTIVES These objectives are directed toward the following general education expected outcomes of the college: 1. Analytical and Critical-Thinking Skills: Students should be able to reason and to think analytically in solving problems and making decisions. 2. Mathematical Skills: Students should be able to understand and apply fundamental mathematical concepts in solving problems. 3. Communications Skills: Students should be able to read and listen with understanding and to communicate clearly and effectively in writing and speaking. 4. Information Technology Skills: Students should be able to appropriately use a scientific and/or graphing calculator in solving various problems. Upon completion of Calculus I, students should have an understanding of: 1. 2. 3. 4. 5. 6. 7. 8. 9. Limits and their properties.. Continuity of a function. Definition of the derivative and differentiation of all elementary functions using the definition of derivative and by using the sum, product, quotient, and chain rules. Implicit differentiation. Applications of the derivative. Riemann sums and the definite and indefinite integral. The Fundamental Theorems of Calculus. Integration by substitution. Applications of integration. METHOD OF EVALUATION All HW and exams will be conducted online in Cengage WebAssign. For HW, you will have 5 attempts for every HW assignment as long as you turn it in by its due date; 20%penalty for late submission. You will have 4 individual online exams in WebAssign and you will have 2 attempts per exam. You will also have a comprehensive online Final Exam in WebAssign. However, you will only have one attempt for the FE. Students who do not take the final exam will get an automatic WF for the course. The student’s final grade will be computed as follows: HW 20% Exams: 55% Final Exam: 25% —————————————-Total: 100% The following grading scale will be used. [90 – 100] [80 – 90) [70 – 80) A Plus B C FE ≥ 70 [60 – 70) Below 59.5 D F WF if withdrawn after Monday, June 28th 2021. FE: Friday July 23rd in WebAssign. FE will be made available in WebAssign at 12:01AM on 7/23/21 and is due by 11:59PM of 7/23/21. CLASS PROCEDURES Students who enroll late in the course are responsible for material covered before they enrolled. Attendance is not required, but is encouraged for questions and discussions. All lectures will be recorded in D2L. Working Problems: HW will be assigned electronically in Cengage WebAssign. Some if not most of the HW will be done in WebAssign during the lecture to better explain and illustrate the ideas. Remember Mathematics is not a spectators sport, and your HW is meant to be the training ground where you learn how to bridge the gap between your thoughts and the tips of your fingers. Group Work: I encourage students to work together on homework. Academic Honesty: Each student must do his or her own work on exams without any assistance from any outside source not specifically authorized by me. The student handbook details school policies on academic honesty. Classroom Etiquette: Students are expected to treat the instructor and other students with respect. Please refrain from the following during class time: 1. Talking with other students. 2. Leaving class early (other than an emergency). 3. Leaving the desk to sharpen a pencil in the middle of a lecture. 4. Consistently late coming to class. 5. Pagers beeping during class. 6. Placing or receiving cellular phone calls during class. 6 OFFICE PROCEDURES When you come to my office for help, please be prepared by doing the following: 1. Bring your textbook, your calculator, and your class notes. 2. Make sure you have read the section in the text, read the class notes, and studied the examples. 3. Be prepared to show me at least two odd-numbered problems, from the section that you have worked. 4. Bring your incomplete or incorrect solution to each problem about which you have a question. 5. Ask for help as early as possible. Don’t wait until the day of the exam! TENTATIVE COURSE OUTLINE MATH 1501 A Summer Semester 2021 HW will be assigned and graded in WebAssign. Section Suggested Homework Problems 1.5: The limit of a function [1-37] odds 1.6: Calculating Limits Using the Limit L:aws [1-32] odds, 50 1.7: The Precise Definition of a Limit 19,20 1.8: Continuity [17-32] odds Exam I 2.1: Derivatives and Rates of Change 2.2: The Derivative as a Function [5-8], [33-38] 2.3: Differentiation Formulas 2.4: Derivatives of Trigonometric Functions [1,44] odds [1-16], [21,24] odds, [39-48] odds 2.5: The Chain Rule 2.6: Implicit Differentiation 2.8: Related Rates 1,2,3,21 [7,54]odds [1-20] odds,[25-30]odds 2,4,8,13,14 [1-4],[11-28]odds 2.9: Linear Approximations and Differentials Exam II 3.1: Maximum and Minimum Values [15,28] odds, [29,42] odds, [45,51] odds 3.2: The Mean Value Theorem [1,7] odds, [9,12] odds 3.3: How Derivatives Affect the Shape of a Graph 1, [9,17] odds [7,30] odds 3.4: Limits at Infinity: Horizontal Asymptotes 3.5: Summary of Curve Sketching [1,20] odds, [45,48] 7 3.7: Optimization Problems 3.8: Newton’s Method 3.9: Anti-Derivatives 2,3,13,14 [13,22] odds [19,40] All Exam III 4.1: Areas and Distances 4.2: The Definite Integral 4.3: The Fundamental Theorem of Calculus 4.4: Indefinite Integrals and the Net Change Theorem 4.5: The Substitution Rule 5, [19,23] all [9.12], [17,20] [7,42]odds [5,16]odds, [19,42]odds [1,6] all, [7,30]odds, [35,51]odds Exam IV 5.1: Areas Between Curves 5.2: Volumes 5.3: Volumes by Cylindrical Shells 5.5: Average Value of a Function [1,4] all, [5,28] odds [1,18] odds, [19,30] all [3,7] odds, [9,20] odds [1,12] odds Review Final Exam Study Hard In WebAssign on 7/23/21. FE will be available in WebAssign on 7/23/21 for 24 hours. You have 120 minutes to do the FE and only one attempt. 7/23/2021 FE for Math 1501-A – Math 1501A, section A, Summer 1 2021 | WebAssign EN Home My Assignments Communication ld258881@gordonstate.edu (Sign out) Grades Calendar My eBooks Math 1501A, section A, Summer 1 2021 INSTRUCTOR FE for Math 1501-A (Exam) Marwan Zabdawi Gordon State College, GA Current Score QUESTION 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Due Date FRI, JUL 23, 2021 11:59 PM EDT Request Extension Description Assignment Submission & Scoring Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your best submission for each question part is used for your score. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=26778711 1/12 7/23/2021 1. FE for Math 1501-A – Math 1501A, section A, Summer 1 2021 | WebAssign DETAILS SCALC8 1.6.015. MY NOTES ASK YOUR TEACHER MY NOTES ASK YOUR TEACHER Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t2 − 36 t → −6 2t2 + 13t + 6 2. DETAILS SCALC8 1.6.043. Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 0.1− 10x − 1 |10×3 − x2| https://www.webassign.net/web/Student/Assignment-Responses/last?dep=26778711 2/12 7/23/2021 FE for Math 1501-A – Math 1501A, section A, Summer 1 2021 | WebAssign DETAILS 3. SCALC8 1.8.020. MY NOTES ASK YOUR TEACHER Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 3x x2 − 9 1 if x ≠ 3 a=3 if x = 3 lim lim f(x) and f(x) are finite, but are not equal. lim f(x) does not exist. x → 3+ x→3 x → 3− f(3) is defined lim and f(x) is finite, but they are not equal. x→3 f(3) is undefined. none of the above Sketch the graph of the function. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=26778711 3/12 7/23/2021 FE for Math 1501-A – Math 1501A, section A, Summer 1 2021 | WebAssign DETAILS 4. SCALC8 2.3.037. MY NOTES ASK YOUR TEACHER SCALC8 2.4.009.MI. MY NOTES ASK YOUR TEACHER Differentiate. 3 f(t) = f ‘(t) = DETAILS 5. t t−3 Differentiate. y= 8x 5 − tan(x) y’ = https://www.webassign.net/web/Student/Assignment-Responses/last?dep=26778711 4/12 7/23/2021 FE for Math 1501-A – Ma…

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