Math and Technology Spring 2019 (847)

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1 Course Syllabus for MAT250 Section 003 Calculus I Instructor: Prof. Reza Dai Math and Technology Spring 2019 rdai@oakton.edu (847) I. COURSE INFORMATION College Credits: 5 credits; Lecture: 5 hours Tuesday, Thursday 1:00 pm 3:20 Skokie RHC C254 Office Hours: Monday Monday Tuesday Thursday Friday 10:30 11:30 Skokie campus room P156 11:30 1:30 Skokie campus room P111 11:30 1:00 Skokie campus room P111 11:30 1:00 Skokie campus room P111 8:00 10:00 Online II. III. IV. PREREQUISITE MAT 149, or both MAT 140 and MAT 122, all with grades of C or better, or appropriate score on the Mathematics Assessment Test COURSE (CATALOG) DESCRIPTION Course is the first in calculus and analytic geometry. Content focuses on limits, continuity, derivatives, indefinite integrals and definite integrals, applied to algebraic, trigonometric, exponential and logarithmic functions, and applications of differentiation and integration. Technology integrated throughout the course. LEARNING OBJECTIVES 1. Analyze functions in a variety of settings. 2. Define, analyze and use limits. 3. Compute derivatives. 4. Use the derivative in applications. 5. Set up, compute and evaluate basic integrals. 6. Use technology to compute limits, derivatives and integrals. V. ACADEMIC INTEGRITY Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton s Code of Academic Conduct. This code prohibits: cheating, plagiarism (turning in work not written by you, or lacking proper citation), falsification and fabrication (lying or distorting the truth), helping others to cheat, unauthorized changes on official documents, pretending to be someone else or having someone else pretend to be you, making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity There are serious consequences to violations of the academic integrity policy. Oakton s policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy,

2 the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years. Please review the Code of Academic Conduct and the Code of Student Conduct, both located online at VI. OUTLINE OF TOPICS 1) Analyze functions in a variety of settings. a. Define and use properties of functions. b. Represent functions through formulas, graphs, tables and words. c. Evaluate exponential and logarithmic functions and to explain the relationship between exponential functions and logarithmic functions. d. Define and graph trigonometric and inverse trigonometric functions and use their properties in algebraic manipulations. e. Use technology to graph functions. 2) Define, analyze and use limits. a. Motivate the concept of a limit. b. Define and compute left-sided, right-sided and two-sided limits. c. Evaluate limits analytically. d. Evaluate infinite limits. e. Determine the end behavior of a function. f. Define continuity of a function. g. Use technology to graphically, numerically and/or symbolically find limits. 3) To compute derivatives. a. Define the derivative using limits. b. Analyze the relationship between the graph of a function and its derivative. c. Apply the rules of derivatives including the constant, power, constant multiple and sum rules. d. Apply the product and quotient rules. e. Apply the derivative rules for trigonometric functions. f. Interpret the derivative as a rate of change. g. Apply the chain rule in both differential form and Leibniz notation. h. Find the derivative of a function implicitly. i. Apply derivative rules to logarithmic and exponential functions. j. Apply derivative rules to the inverse trigonometric functions. k. Solve related rates problems. l. Use technology to graphically, numerically and/or symbolically find derivatives. 4) To use the derivative in applications. a. Define local and absolute maxima and minima. b. Analyze the graph of a function through its first and second derivatives. c. Create an accurate graph of a function through the use of limits and derivatives. d. Solve optimization problems. e. Use linear approximation to approximate the value of a function, and to define the relationship between differentials dy and dx. f. Apply the Mean Value Theorem. g. Apply L Hopital s Rule. h. Find the anti-derivative of a function. 5) To set up, compute and evaluate integrals. a. Approximate the area under the curve using left, right and midpoint Riemann sums. MAT250 Course Syllabus Page 2

3 b. Evaluate definite integrals. c. Apply the Fundamental Theorem of Calculus. d. Evaluate definite integrals using symmetry. e. Apply the substitution rule. f. Calculate the position, velocity, displacement and distance travelled by an object as well as the net change and future value of an object. g. Compute the area of a region bounded by two or more curves. h. Use technology to evaluate integrals numerically and/or symbolically. VII. VIII. METHODS OF INSTRUCTION Methods of presentation will include lectures, discussion, demonstration, audio-visual aids, group work, and regularly assigned homework. Calculators/computers will be used when appropriate Course will be taught face-to-face. COURSE EXPECTATIONS Your regular attendance is expected and will be important to your success in this class. As such, an attendance sheet will circulate each class meeting. It is your responsibility to make sure that you sign the attendance sheet each session. Coming to class late (or leaving early) is a distraction. If it is necessary for you to leave early - or if you arrive late, you will be considered to have been absent for half of the class. Absences due to illness (with a timely doctor s note) or legal matters (with documentation) will excused. If it is necessary for you to miss class, you are still responsible for the material missed. You may find it beneficial to exchange phone numbers with a 'study buddy'. Office hours will not be used to replace regular class attendance. Please advise me of any religious holidays this semester, on which you will be absent from class, within the first 2 weeks of class. Every student is expected to participate in class during group work and lecture. Come prepared for class. This includes: Study the appropriate section(s) in the textbook. Review the lecture notes. It is highly recommended that you review each lecture on the day it was presented. Do all assigned homework. Prepare for the next class by reading section(s) to be covered at the next class Academic integrity. All work is expected to be your own. Ask for clarification if you don't understand something. If you don't feel comfortable asking questions in class, please ask them via or during office hours. The tutoring center is another excellent resource for answers. Students are expected to maintain a classroom environment that allows learning for all students. If you would rather sleep, read extraneous material, send/receive text messages, do homework in class or hold side conversations, you will be asked to utilize one of your absences. Assignments and Exams You will need your own graphing calculator for use on quizzes and exams. Calculators may not be shared and you are not permitted to use more than one calculator on an exam or quiz. Cellular phones and the like may not be used as a calculator in class as this is considered cheating. Homework will be completed and graded in MyLabsPlus Because of the need to stay current with the material, I cannot accept late assignments, but I will drop the lowest homework assignment if you have no more than two unexcused absences. MAT250 Course Syllabus Page 3

4 Make-up Tests: There will be no make-up tests unless you have a documented emergency. If you miss a test, then your final exam score will be used in place of the test that you missed. If you know you will miss a test, please make arrangements to take the test early. IX. INSTRUCTIONAL MATERIALS Textbook: Book: Calculus, Early Transcendentals Volume 1 (Custom Book for Oakton Community College) Author: Briggs & Cochran; 2/e Publisher: Pearson Custom Publishing Copyright: 2015 Text only ISBN-10: Text with MyLabsPlus Access Code: MyLabsPlus Standalone Access Code: Full Briggs Book for 250, 251 and 252 (Text only): ISBN-10: Full Briggs Book with MML+ Access Code: ISBN-10: MyLabsPlus is required for the course Graphing Calculator: A graphics calculator is required. A TI-83/84 will be used for instructional purposes. X. METHODS OF EVALUATING STUDENT PROGRESS 4 Tests 70% Assignments (Due date on the homework will not be changed or extended) 30% Comprehensive Final Exam (extra credit if your final grade > 64%) Up to 10% Course grades will be determined as follows: Grading Standards Final Grade Percentage Superior work A > 90% Good work B 80% to 89% Satisfactory work C 70% to 79 % Less than satisfactory D 60% to 69% Failure to meet requirements F Less than 60% XI. OTHER COURSE INFORMATION If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program. Oakton Community College is committed to maintaining a campus environment emphasizing the dignity and worth of all members of the community, and complies with all federal and state Title IX requirements. Resources and support for pregnancy-related and parenting accommodations; and victims of sexual misconduct can be found at Resources and support for LGBTQ+ students can be found at MAT250 Course Syllabus Page 4

5 Electronic video and/or audio recording is not permitted during class unless the student obtains written permission from the instructor. In cases where recordings are allowed, such content is restricted to personal use only. Any distribution of such recordings is strictly prohibited. Personal use is defined as use by an individual student for the purpose of studying or completing course assignments. For students who have been approved for audio and/or video recording of lectures and other classroom activities as a reasonable accommodation by Oakton s Access Disabilities Resource Center (ADRC), applicable federal law requires instructors to permit those recordings. Such recordings are also limited to personal use. Any distribution of such recordings is strictly prohibited. Violation of this policy will result in disciplinary action through the Code of Student Conduct. Important Dates January 22 Spring semester classes begin Last day to submit proof of residency, business service agreements and January 22 chargebacks/joint agreements February 18 Presidents Day holiday, College closed Last day to withdraw from 16-week courses and have course dropped from February 19 record* (See Withdrawal From Classes for more information.) February 19 Last day to change to audit for 16-week courses* February 22 Last day for filing Graduation Petitions Incomplete (I) grades from fall semester for which faculty have not submitted final March 03 grades will become an "F" after this date** March Spring Break March 25 Classes resume after Spring Break March 27 Registration opens for summer semester Last day to withdraw with a "W" from 16-week courses; Students will receive a grade April 01 in all courses in which they are enrolled after this date. April 10 Registration opens for fall semester May Evaluation Days*** May 17 Last day of student attendance May 21 Grades due *Consult the Enrollment Center for deadlines on classes meeting less than 16 weeks. **Students must make arrangements with individual faculty members regarding deadlines to submit required work for incomplete (I) grades. ***Two days to be used for instruction, final student evaluations or culminating course activities. Classes not scheduled to meet on these days and classes which do not meet for the duration of a semester will ordinarily use the last class session(s) for instruction, final student evaluations or culminating course activities. MAT250 Course Syllabus Page 5

6 Tentative Course Schedule The following is intended to be an accurate outline of the course, but the instructor reserves the right to make modifications dependent upon pace and progress, and potential class cancellations, e.g. snow days Date Lecture Topic Tue 01/22 Syllabus and Introduction, Section 1.1 Thu 01/24 Sections Tue 01/29 Sections Thu 01/31 Sections Tue 02/05 Sections Thu 02/07 Section 2.7 Tue 02/12 Review Thu 02/14 Exam #1 Tue 02/19 Sections Thu 02/21 Sections Tue 02/26 Sections Thu 02/28 Sections Tue 03/05 Sections Thu 03/07 Section 3.11 Tue 03/12 Review Thu 03/14 Exam #2 Tue 03/19 Spring Break Thu 03/21 Spring Break Tue 03/26 Sections Thu 03/28 Sections Tue 04/02 Sections Thu 04/04 Sections Tue 04/09 Sections Thu 04/11 Section 4.9 Tue 04/16 Review Thu 04/18 Exam #3 Tue 04/23 Sections Thu 04/25 Sections Tue 04/30 Sections Thu 05/02 Sections Tue 05/07 Review Thu 05/09 Exam #4 Tue 05/14 Review Thu 05/16 Final Exam Testing Center URL: Room 2409, , Des Plaines Campus Room A135, , Skokie Campus Learning Center: URL: Room 2400, , Des Plaines Campus Room A135, , Skokie Campus MAT250 Course Syllabus Page 6

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,