Calculus 1 (MATH 2413)

Course Meetings Course Modality In Person / Face to Face Meeting Days Meeting Times : Monday & Wednesday Meeting Times 11-12:50PM

Meeting Location KATY Campus Room 215

Welcome and Instructor Information Welcome to Calculus I. Please feel free to contact me concerning any problems that you are experiencing in this course. Your performance in my class is very important to me. I am available to hear your concerns and just discuss course topics.

Professor: Sumithra Iyer

Email: sumithra.iyer @hccs.edu

Office: Katy Room 306-15  Phone: 713-718-5658

What's Exciting About This Course What makes this course exciting is it gives you your first introduction to the wonders of Calculus. It gives us our first look at the beauty of mathematics and the multitude of areas that we can use Calculus. My Personal Welcome Let me take a moment to welcome you to Calculus I. I am absolutely thrilled that you have chosen to expand your mathematical horizon. Mathematics is a difficult but exciting field. During the course you will be asked to break the norms and take a brief foray into why things are. Can we at this point in our mathematical pursuit come to terms with certain formulas, in the sense that can we attempt a proof using calculus of what we once took for granted. Formulas involving areas and volumes. Mathematics is a wonderful field and I am very happy to be part of your inquiry into this most exquisite of disciplines. I look forward to meeting all of you and I trust that we will have a great semester together. As you read and wrestle with new ideas and facts that may challenge you, I am available to support you. The fastest way to reach me is by my HCC email. My goal is for you to walk out of the course with a better understanding and appreciation of mathematics. So please visit me or contact me by email whenever you have a question.

Office Hours

 MW : 3:30 pm -- 4:00 pm TuTh : 11:00 am -- 11:30 am ; TuTh : 2:30 pm -- 3:00 pm

Course Overview

Course Description MATH 2413 - Calculus I Credits: 4 (4 lecture). This course is a freshman level course that provides the background in mathematics for science and engineering students, and or further study in mathematics and its application. Topics include limits and continuity; the Fundamental Theorem of Calculus; definition of the derivative of a function and techniques of differentiation; applications of the derivative to maximizing or minimizing a function; the chain rule, mean value theorem, and rate of change problems; curve sketching; definite and indefinite integration of algebraic, trigonometric, and transcendental functions, with an application to calculation of areas.

Core Curriculum Course. Prerequisites Math 2412 or consent of the Department Chair. A grade of “C” or better in Math 2412.

Department Website https://www.hccs.edu/programs/areas-of-study/science-technology-engineering--math/mathematics/

Core Curriculum Objectives (CCOs)

Given the rapid evolution of necessary knowledge and skills and the need to take into account global, national, state, and local cultures, the core curriculum must ensure that students will develop the essential knowledge and skills they need to be successful in college, in a career, in their communities, and in life. Through the Texas Core Curriculum, students will gain a foundation of knowledge of human cultures and the physical and natural world, develop principles of personal and social responsibility for living in a diverse world, and advance intellectual and practical skills that are essential for all learning. Critical Thinking: to include creative thinking, innovation, inquiry, and analysis, evaluation and synthesis of information. Communication Skills: to include effective development, interpretation and expression of ideas through written, oral and visual communication. Quantitative and Empirical Literacy: to include the manipulation and analysis of numerical data or observable facts resulting in informed conclusions.

Student Learning Outcomes and Objectives Program Student Learning Outcomes (PSLOs) Students in the Mathematics Program will: 1. Engage in problem solving strategies, such as organizing information, drawing diagrams and modeling. 2. Use symbolic representations to solve problems. This includes manipulating formulas, solving equations, and graphing lines. 3. Build the foundational mathematical skills that will enable a student to successfully complete a college level mathematics course. 

Course Student Learning Outcomes (CSLOs) Upon completion of MATH 2413, the student will be able to: 1. Develop solutions for tangent and area problems using the concepts of limits, derivatives, and 2. Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point. 3. Determine whether a function is continuous and/or differentiable at a point using limits. 4. Use differentiation rules to differentiate algebraic and transcendental functions. 5. Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems. 6. Evaluate definite integrals using the Fundamental Theorem of Calculus. 7. Articulate the relationship between derivatives and integrals using the Fundamental Theorem Calculus.

Learning Objectives Upon completion of this course the student will demonstrate

1. Knowledge of limits by: a. computing limits at a point and at infinity analytically, b. applying the definition of continuity, c. determining where a function is continuous or discontinuous,

2. Knowledge of differentiation by: a. finding the derivative of a function using the limit definition, b. finding the equation of the tangent line to a curve at a point, c. finding the rate of change of a function, d. finding derivatives of polynomial, trigonometric, using differentiation rules, e. finding derivatives using the product, quotient and chain rules, f. implicitly differentiating equations, g. computing higher order derivatives, h. finding the intervals on which a function increases or decreases, i. determining maximum and minimum points of a function, j. finding the intervals on which a function is concave up or concave down k. determining points of inflection of a function l. using the first and second derivative tests to find relative extrema, m. applying Rolle’s theorem and the Mean Value theorem, n. solving ‘real world’ optimization problems, o. solving ‘real world’ problems involving related rates.

3. Knowledge of integration by: a. finding antiderivatives involving polynomial and trigonometric functions, b. evaluating a definite integral using Riemann sums, c. computing the average value of a function over an interval, d. computing definite integrals using the Fundamental Theorem of Calculus, e. solving applied problems using definite integrals, f. finding indefinite integrals with a change of variables, g. finding the area or regions under and between curves 4. Knowledge of transcendental functions by: a. finding derivatives of the natural logarithmic function b. finding derivatives of exponential functions c. finding antiderivatives which result in natural logarithmic and exponential functions.

5. Knowledge of inverse functions

Departmental Practices and Procedures The Mathematics Department has specific expectations for calculators, proctored exams and grading policies. Refer to the Course Requirements and Devices sections below.  Instructional Materials and Resources Instructional Materials The HCC Online Bookstore (https://hccs.bncollege.com/shop/hccs-central/page/find-textbooks) provides searchable information on textbooks for all courses. Check with your instructor before purchasing textbooks because the book might be included in your course fees. Calculus Author: Ron Larson & Bruce H. Edwards Publisher: Cengage Edition: 11th ISBN: 978-1285858265 Availability: Campus Bookstore and Online vial : http://webassign.net

Course Requirements Assignments,

Exams, and Activities Type Weight Topic Notes Quizzes 6 Quizzes will be administered during class time. Exams 60 There will be 4 exams administered each equally weighted at 15%. All exams and the final will be administered in class. The exams will be chapter based, that is Exam 1 Ch 1 Exam 2 Ch 2, Exam 3 Ch 3 Exam 4 Ch 4 Homework 9 Homework will be accessed through CANVAS Final Exam 25 The final exam is COMPREHENSIVE

Instructor's Practices and Procedures Incomplete

Policy In order to receive a grade of Incomplete (“I”), a student must have completed at least 85% of the work in the course. In all cases, the instructor reserves the right to decline a student’s request to receive a grade of Incomplete

Missed Assignments/Make-Up Policy Absence on a test is Severely Discouraged. If you miss an exam or quiz a grade of Zero (0) will be assigned for that assessment. If you miss an exam or quiz due to an emergency, then you will need to provide the required documentation to support your claim. The instructor, however, reserves the right to decline a student's request. 4 major exams and a Comprehensive final will be given. No exam will be Dropped

Academic Integrity Here’s the link to the HCC information about academic integrity (Scholastic Dishonesty and Violation of Academic Scholastic Dishonesty and Grievance): https://www.hccs.edu/studentprocedures (https://www.hccs.edu/studentprocedures)

Attendance Procedures Class Attendance - It is important that you come to class! Attending class regularly is the best way to succeed in this class. Research has shown that the single most important factor in student success is attendance. Simply put, going to class greatly increases your ability to succeed. You are expected to be on time at the beginning of each class period. For complete information regarding Houston Community College’s policies on attendance, please refer to the Student Handbook. You are responsible for materials covered during your absences. Class attendance is checked daily. Although it is your responsibility to drop a course for nonattendance, the instructor has the authority to drop you for excessive absences. If you are not attending class, you are not learning the information. As the information that is discussed in class is important for your career, students may be dropped from a course after accumulating absences in excess of six (6) hours of instruction. The six hours of class time would include any total classes missed or for excessive tardiness or leaving class early. You may decide NOT to come to class for whatever reason. As an adult making the decision not to attend, you do not have to notify the instructor prior to missing a class. However, if this happens too many times, you may suddenly find that you have “lost” the class. Poor attendance records tend to correlate with poor grades. If you miss any class, including the first week, you are responsible for all material missed. It is a good idea to find a friend or a buddy in class who would be willing to share class notes or discussion or be able to hand in your work if you unavoidably miss a class

Student Conduct Students are expected to comport themselves in a manner so as to not be detrimental to the academic atmosphere. While this class is of an online nature some students may set up platforms where they may meet as a group, such as, “groupme”. It is expected that you treat each other with civility and respect. Any student found in breach will be reported to the relevant authorities within the department.

Instructor’s Course-Specific Information Students are expected to comport themselves in a manner so as to not be detrimental to the academic atmosphere. While this class is of an online nature some students may set up platforms where they may meet as a group, such as, “groupme”. It is expected that you treat each other with civility and respect. Any student found in breach will be reported to the relevant authorities within the department.

Devices It is expected that while attending the class in an online format that all electronic devices be turned off or silenced so as to not disturb the learning environment.

Faculty Statement about Student Success In order for one to succeed in this and any class two things will be expected of you (i) that you are prepared and (ii) that you are consistent in doing your homework. (i) Preparation requires that you have the relevant pre-requisite for the course. It also means that you attend class regularly you read and re-read as necessary the previous class material so that you are ready for the new material. I am always available to my students so if you have any questions please feel free to speak with me or e-mail me as necessary. (ii) Homework. In order to be successful in this course requires a level of commitment from you to do your home consistently. As the old adage goes “Math is not a spectator sport.” In order to be successful in math requires that you DO math. This may mean that you may need to work on your homework daily, if there is a concept that you do not understand, you go to (i) tutoring , (ii) you seek assistance from your fellow classmates, (iii) you go online to valid websites to get help with understanding or reinforcing certain concepts and (iv) seek your professor’s assistance.

Faculty-Specific Information Regarding Canvas This course section will use Canvas (https://eagleonline.hccs.edu (https://eagleonline.hccs.edu)) to supplement in-class assignments, exams, and activities. HCCS Open Lab locations may be used to access the Internet and Canvas. For best performance, Canvas should be used on the current or first previous major release of Chrome, Firefox, Edge, or Safari. Because it's built using web standards, Canvas runs on Windows, Mac, Linux, iOS, Android, or any other device with a modern web browser. Canvas only requires an operating system that can run the latest compatible web browsers. Your computer operating system should be kept up to date with the latest recommended security updates and upgrades.

Social Justice Statement Houston Community College is committed to furthering the cause of social justice in our community and beyond. HCC does not discriminate on the basis of race, color, religion, sex, gender identity and expression, national origin, age, disability, sexual orientation, or veteran status. I fully support that commitment and, as such, will work to maintain a positive learning environment based upon open communication, mutual respect, and non-discrimination. In this course, we share in the creation and maintenance of a positive and safe learning environment. Part of this process includes acknowledging and embracing the differences among us in order to establish and reinforce that each one of us matters. I appreciate your suggestions about how to best maintain this environment of respect. If you experience any type of discrimination, please contact me and/or the Office of Institutional Equity at 713-718-8271.  HCC Policies and Information

Link to Policies in Catalog and Student Handbook Here’s the link to the HCC Catalog and Student Handbook: https://catalog.hccs.edu/ (https://catalog.hccs.edu/) In it you will find information about the following: Academic Information Academic Support Attendance, Repeating Courses, and Withdrawal Career Planning and Job Search Childcare disAbility Support Services Electronic Devices Equal Educational Opportunity Financial Aid TV (FATV) General Student Complaints Grade of FX Incomplete Grades International Student Services Health Awareness Libraries/Bookstore Police Services & Campus Safety Student Life at HCC Student Rights and Responsibilities Student Services Testing Transfer Planning Veteran Services

Link to HCC Academic Integrity Statement https://www.hccs.edu/student-conduct (https://www.hccs.edu/student-conduct) (scroll down to subsections) Campus Carry Link Here’s the link to the HCC information about Campus Carry: https://www.hccs.edu/campuscarry (https://www.hccs.edu/campuscarry) HCC Email Policy When communicating via email, HCC requires students to communicate only through the HCC email system to protect your privacy. If you have not activated your HCC student email account, you can go to HCC Eagle ID (https://www.hccs.edu/email) and activate it now. You may also use Canvas Inbox to communicate.

Office of Institutional Equity Use the following link to access the HCC Office of Institutional Equity, Inclusion, and Engagement: https://www.hccs.edu/eeo (https://www.hccs.edu/eeo) Ability Services HCC strives to make all learning experiences as accessible as possible. If you anticipate or experience academic barriers based on your disability (including long and short term conditions, mental health, chronic or temporary medical conditions), please meet with a campus Abilities Counselor as soon as possible in order to establish reasonable accommodations. Reasonable accommodations are established through an interactive process between you, your instructor(s) and Ability Services. It is the policy and practice of HCC to create inclusive and accessible learning environments consistent with federal and state law. For more information, please go to https://www.hccs.edu/accessibility (https://www.hccs.edu/accessibility)

Title IX Houston Community College is committed to cultivating an environment free from inappropriate conduct of a sexual or genderbased nature including sex discrimination, sexual assault, sexual harassment, and sexual violence. Sex discrimination includes all forms of sexual and gender-based misconduct and violates an individual’s fundamental rights and personal dignity. Title IX prohibits discrimination on the basis of sex-including pregnancy and parental status in educational programs and activities. If you require an accommodation due to pregnancy please contact an Abilities Services Counselor. The Director of EEO/Compliance is designated as the Title IX Coordinator and Section 504 Coordinator. All inquiries concerning HCC policies, compliance with applicable laws, statutes, and regulations (such as Title VI, Title IX, and Section 504), and complaints may be directed to: David Cross Director EEO/Compliance Office of Institutional Equity & Diversity 3100 Main (713) 718-8271 Houston, TX 77266-7517 or [email protected] (mailto:[email protected]) https://www.hccs.edu/titleix (https://www.hccs.edu/titleix) Office of the Dean of Students Contact the office of the Dean of Students to seek assistance in determining the correct complaint procedure to follow or to identify the appropriate academic dean or supervisor for informal resolution of complaints.

Student Success Expect to spend at least twice as many hours per week outside of class as you do in class studying the course content. Additional time will be required for written assignments. The assignments provided will help you use your study hours wisely. Successful completion of this course requires a combination of the following: Reading the textbook Attending class in person and/or online Completing assignments Participating in class activities There is no short cut for success in this course; it requires reading (and probably re-reading) and studying the material using the course objectives as a guide.

Canvas Learning Management System Canvas is HCC’s Learning Management System (LMS), and can be accessed at the following URL: https://eagleonline.hccs.edu (https://eagleonline.hccs.edu) HCCS Open Lab locations may be used to access the Internet and Canvas. For best performance, Canvas should be used on the current or first previous major release of Chrome, Firefox, Edge, or Safari. Because it's built using web standards, Canvas runs on Windows, Mac, Linux, iOS, Android, or any other device with a modern web browser. Canvas only requires an operating system that can run the latest compatible web browsers. Your computer operating system should be kept up to date with the latest recommended security updates and upgrades. HCC Online Information and Policies Here is the link to information about HCC Online classes, which includes access to the required Online Information Class Preview for all fully online classes: https://www.hccs.edu/online/ (https://www.hccs.edu/online/) Scoring Rubrics, Sample Assignments, etc. Look in Canvas for the scoring rubrics for assignments, samples of class assignments, and other information to assist you in the course. https://eagleonline.hccs.edu/ (https://eagleonline.hccs.edu/)

Instructor and Student Responsibilities As your Instructor, it is my responsibility to: Provide the grading scale and detailed grading formula explaining how student grades are to be derived Facilitate an effective learning environment through learner-centered instructional techniques Provide a description of any special projects or assignments Inform students of policies such as attendance, withdrawal, tardiness, and making up assignments Provide the course outline and class calendar that will include a description of any special projects or assignments Arrange to meet with individual students during office hours, and before and after class as required As a student, it is your responsibility to: Attend class in person and/or online Participate actively by reviewing course material, interacting with classmates, and responding promptly in your communication with me Read and comprehend the textbook Complete the required assignments and exams Ask for help when there is a question or problem Keep copies of all paperwork, including this syllabus, handouts, and all assignments

EGLS3 The EGLS (Evaluation for Greater Learning Student Survey System (https://www.hccs.edu/egls3)) will be available for most courses near the end of the term until finals start. This brief survey will give invaluable information to your faculty about their teaching. Results are anonymous and will be available to faculty and division chairs after the end of the term. EGLS surveys are only available for the Fall and Spring semesters. EGLS3 surveys are not offered during the Summer semester due to logistical constraints. https://www.hccs.edu/egls3 (https://www.hccs.edu/egls3)

Housing and Food Assistance for Students Any student who faces challenges securing their foods or housing and believes this may affect their performance in the course is urged to contact the Dean of Students at their college for support. Furthermore, please notify the professor if you are comfortable in doing so. This will enable HCC to provide any resources that HCC may possess.

Student Resources Tutoring HCC provides free, confidential, and convenient academic support, including writing critiques, to HCC students in an online environment and on campus. Tutoring is provided by HCC personnel in order to ensure that it is contextual and appropriate. Visit the HCC Tutoring Services (https://www.hccs.edu/tutoring) website for services provided. Libraries The HCC Library System consists of 9 libraries and 6 Electronic Resource Centers (ERCs) that are inviting places to study and collaborate on projects. Librarians are available both at the libraries and online to show you how to locate and use the resources you need. The libraries maintain a large selection of electronic resources as well as collections of books, magazines, newspapers, and audiovisual materials. The portal to all libraries’ resources and services is the HCCS library web page at https://library.hccs.edu (https://library.hccs.edu/). Supplementary Instruction Supplemental Instruction is an academic enrichment and support program that uses peer-assisted study sessions to improve student retention and success in historically difficult courses. Peer Support is provided by students who have already succeeded in completion of the specified course, and who earned a grade of A or B. Find details at https://www.hccs.edu/supplementalinstruction (https://www.hccs.edu/supplemental-instruction) Resources for Students: https://www.hccs.edu/covid19students (https://www.hccs.edu/covid19students) Basic Needs Resources: https://www.hccs.edu/support-services/counseling/hcc-cares/basic-needs-resources/ (https://www.hccs.edu/supportservices/counseling/hcc-cares/basic-needs-resources/) Student Basic Needs Application: https://www.hccs.edu/basicneeds (https://www.hccs.edu/basicneeds)

Departmental/Program Information Program Information for Majors: https://www.hccs.edu/programs/areas-of-study/science-technology-engineering-- math/mathematics/ HCC Math Student Organization: Mu Alpha Theta: Application: https://www.hccs.edu/resources-for/current-students/stem-- science-technology-engineering--mathematics/stem-clubs/mu-alpha-theta-application/

Copyright Statement In order to uphold the integrity of the academic environment and protect and foster a cohesive learning environment for all, HCC prohibits unauthorized use of course materials. Materials shared in this course are based on my professional knowledge and experience and are presented in an educational context for the students in the course. Authorized use of course materials is limited to personal study or educational uses. Material should not be shared, distributed, or sold outside the course without permission. Students are also explicitly forbidden in all circumstances from plagiarizing or appropriating course materials. This includes but is not limited to publically posting quizzes, essays, or other materials. This prohibition extends not only during this course, but after. Sharing of the materials in any context will be a violation of the HCC Student Code of Conduct and may subject the student to discipline, as well as any applicable civil or criminal liability. Consequences for unauthorized sharing, plagiarizing, or other methods of academic dishonesty may range from a 0 on the specified assignment and/or up to expulsion from Houston Community College. Questions about this policy may be directed to me or to the Manager of Student Conduct and Academic Integrity.

Additional Information

Process for Expressing Concerns about the Course If you have concerns about any aspect of this course, please reach out to your instructor for assistance first. If your instructor is not able to assist you, then you may wish to contact the Department Chair. Mathematics Courses Chair of Math Mahmoud Basharat SW Campus 713-718-2438 Stafford Scarcella, N108 - Admin. Assistant Tiffany Pham SW Campus 713-718-7770 Stafford Scarcella, N108 - Admin. Assistant Christopher Cochran SW Campus 713-718-2477 Stafford Scarcella, N108 1 Math Assoc. Chair Jaime Hernandez CE Campus 713-718-7772 San Jacinto Building, Rm 369 Math Assoc. Chair Susan Fife NW Campus 713-718-7241 Katy Campus Building, Rm 112 Math Assoc. Chair Hien Nguyen NE Campus 713-718-2440 Northline, Rm 324 Developmental Mathematics Courses Chair of Dev. Math Dorothy A. Muhammad SE Campus 713-718-5846 Felix Morales Building, Rm 124 - Admin. Assistant Carmen Vasquez SE Campus 713-718-7056 Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Jack Hatton SE Campus 713-718-2434 Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Adnan Ulhaque SW Campus 713-718-5463 Felix Morales Building, Rm 124/ Stafford Scarcella, N108