MATH 151 INFO SHEET (Belmonte, Fall 2017)

Transcription

1 MATH 151 INFO SHEET (Belmonte, Fall 2017) 1 Class / Course Web Pages These are the important ones. [Also see #6 (Links) on the reverse.] calclab.math.tamu.edu/~belmonte/2017c_m151.html 2 Classes by Section Lecture: MWF, 9:10 am 10:00 am, BLOC 166 Computer Lab: T, 12:40 pm 1:30 pm, BLOC 123 Recitation: R, 12:40 pm 1:30 pm, CVE 134 Lecture: MWF, 9:10 am 10:00 am, BLOC 166 Computer Lab: T, 1:50 pm 2:40 pm, BLOC 126 Recitation: R, 1:50 pm 2:40 pm, CVE 223 Lecture: MWF, 9:10 am 10:00 am, BLOC 166 Computer Lab: T, 4:10 pm 5:00 pm, BLOC 124 Recitation: R, 4:10 pm 5:00 pm, CVE 222 Lecture: MWF, 8:00 am 8:50 am, BLOC 166 Computer Lab: T, 11:30 am 12:20 pm, BLOC 124 Recitation: R, 11:30 am 12:20 pm, CVE 222 Lecture: MWF, 8:00 am 8:50 am, BLOC 166 Computer Lab: T, 12:40 pm 1:30 pm, BLOC 124 Recitation: R, 12:40 pm 1:30 pm, CVE Lecture: MWF, 10:20 am 11:10 am, BLOC 166 Computer Lab: T, 9:10 am 10:00 am, BLOC 124 Recitation: R, 9:10 am 10:00 am, CVE 222 Lecture: MWF, 10:20 am 11:10 am, BLOC 166 Computer Lab: T, 12:40 pm 1:30 pm, BLOC 122 Recitation: R, 12:40 pm 1:30 pm, CVE 136 Lecture: MWF, 10:20 am 11:10 am, BLOC 166 Computer Lab: T, 1:50 pm 2:40 pm, BLOC 122 Recitation: R, 1:50 pm 2:40 pm, CVE Instructor: Art Belmonte Office Office Hours 4 Evaluations Grading Scale: A % B % C % D % F % belmonte@tamu.edu BLOC 243D Type Number Weight Exams 3 60% Final 1 20% WebAssign m 7.5% MATLAB 5 5% Quizzes % TOTAL 100% TR, 8:00 am 11:00 am, or by appointment (please send ). Lecture: MWF, 8:00 am 8:50 am, BLOC 166 Computer Lab: T, 3:00 pm 3:50 pm, BLOC 123 Recitation: R, 3:00 pm 3:50 pm, CVE 134 (Notes and Links are on next page.) 1

2 5 Notes 1. Your three common exams are scheduled for 7:30 9:30 pm on the following dates. Common exams are written by the course coordinator. The room(s) will be specified in the Common Exam Schedule on the Math 151 course web page mid-september. Exam 1: Thu, 28/Sep (through Section 2.8) Exam 2: Thu, 26/Oct (through Section 3.10) Exam 3: Mon, 20/Nov (through Section 5.2) 2. Your final exams are given in your lecture room. Final exams are written by your instructor with input from the course coordinator. They are comprehensive. Sections : Fri, 08/Dec, 10:00 am 12:00 noon Sections : Mon, 11/Dec, 8:00 am 10:00 am Sections : Tue, 12/Dec, 8:00 am 10:00 am 6 Links These are included to satisfy various departmental, university, and political requirements. aggiehonor.tamu.edu calclab.math.tamu.edu/~belmonte/m151/i/m151loco.pdf catalog.tamu.edu disability.tamu.edu registrar.tamu.edu/general/calendar.aspx student-rules.tamu.edu [Attendance: Rule I.7] tamu.bncollege.com [Textbooks Find Textbooks] 3. Recent decades have seen spectacular development in computer algebra systems (CAS). These allow you to do symbolic mathematics easily and quickly, saving you time and drudgery. You will use MATLAB as a supplement in your mathematics, engineering, and physics courses. Along with numeric and programming capabilities, you will find its Symbolic Math Toobox (SMT, a CAS) exceptionally helpful. Toward this end, I will provide supplements showing you how to use the SMT in your day-to-day work. I will also illustrate it in lectures. 4. Please be on time to class. Make sure that you have read the relevant material the weekend beforehand. 5. At all times I expect you to be prepared and work hard; you can expect the same from me. Each student will be judged on the individual merit of his or her own work. 6. Read the Hot Topics of the day on our class web page. They are the primary means of communication outside of lecture. 7. In early September you will be issued Magic Numbers as a means of identification. These will allow me to optimize organization and turnaround times in lectures, computer labs, and common exams. You will embrace your Magic Number! As a former TA said, It is a way of life. 8. For Exams 1 and 2 only, if your score is below 70, you will have the opportunity to take a different exam covering the same material to improve your grade. The maximum score you may earn on a retest is 70. If your score on the retest is higher that your original score, it will replace your original score, up to the maximum of A final comprehensive exam is required for all students. If your final exam grade is higher than your lowest test grade, the grade on your final will replace your lowest test grade in the course grade calculation. 10. Nothwithstanding notes 8 and 9, my advice is to take your studies seriously: do things right the first time. This is not a dress rehearsal for your life; it is the real deal. 2

3 MATH 151 SCHEDULE (Belmonte, 2017c) (Fri, 18/Aug/2017) Week Dates (2017) Mon Wed Fri 1 28/Aug 01/Sep /Sep 08/Sep FncRev /Sep 15/Sep /Sep 22/Sep /Sep 29/Sep Review /Oct 06/Oct /Oct 13/Oct /Oct 20/Oct /Oct 27/Oct Review /Oct 03/Nov , /Nov 10/Nov /Nov 17/Nov /Nov 24/Nov 5.3/Rev Read Thx 14 27/Nov 01/Dec /Dec 08/Dec Finals 16 11/Dec 15/Dec Finals Finals Done! Thu, 28/Sep; 7:30 pm 9:30 pm: Exam 1 Thu, 26/Oct; 7:30 pm 9:30 pm: Exam 2 Mon, 20/Nov, 7:30 pm 9:30 pm: Exam 3 Fri, 08/Dec, 10:00 am 12:00 noon: Final (Sections ) Mon, 11/Dec, 8:00 am 10:00 am: Final (Sections ) Tue, 12/Dec, 8:00 am 10:00 am: Final (Sections )

4 Math 151: Calculus 1, Fall 2017 Stewart s Early Transcendentals, 8th Edition: Chapters & Sections The following three topics were covered in detail in high school, Math 150, and/or on a placement exam. If you need to review them, look at these sections in your textbook. Appendix D Trigonometry 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms In the following three sections, focus on 2-D vectors, since 3-D vectors will be covered in Calculus 3. These sections contain a superset of the material in sections of Stewart s Early Vectors. EV1. Introduction to Vectors and Vector Functions [ ] 12.2 Vectors 12.3 The Dot Product 10.1 Curves Defined by Parametric Equations 2. Limits and Derivatives 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function 3. Differentiation Rules 3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions [and Inv Funx] 10.2 Calculus with Parametric Curves: Tangents 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 4. Applications of Differentiation 4.1 Maximum and Minimum Values 4.2 The 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 4.9 Antiderivatives 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 6. Applications of Integration 6.1 Areas between Curves

5 Math 151 Syllabus Course title and number MATH 151 Engineering Mathematics I Sections 5##-5## Term Fall 2017 Class times and location Sections 5##-5## Lecture: Time and Location Sections 5##-5## Lecture: Time and Location Lab/Recitation: INSTRUCTOR INFORMATION Name My Webpage Departmental Webpage Phone number Department of Mathematics: address You are responsible for any announcements made through . Office Office hours COURSE DESCRIPTION AND PREREQUISITES Description: (Credit 4) Rectangular coordinates, vectors, analytic geometry, functions, limits, derivatives of functions, applications, integration, computer algebra. MATH 171 designed to be a more demanding version of this course. No credit will be given for more than one of MATH 131, MATH 142, MATH 147, MATH 151 and MATH 171. Prerequisites: MATH 150 or equivalent or acceptable score on TAMU Math Placement Exam. Calculator Policy: Calculators are not allowed on exams or quizzes, although they may be used, and are often necessary, on homework assignments. Use of a calculator on a quiz or exam is considered academic dishonesty and will be reported to the Aggie Honor Council. LEARNING OUTCOMES This course focuses on quantitative literacy in mathematics along with real world applications to physics, related rate problems, and optimization. Upon successful completion of this course, students will be able to: Understand vectors and vector functions, both graphically and quantitatively, and apply them to real world situations involving velocity, forces, and work. Construct vector and parametric equations of lines and understand vector functions and their relationship to parametric equations. Understand the concept of a limit graphically, numerically, and algebraically, and apply the relationship between limits, continuity, and differentiability in determining where a function is continuous and/or differentiable. Define the limit definition of the derivative and calculate derivatives using the limit definition, differentiation formulas, the chain rule, and implicit differentiation, with applications to tangent line and velocity problems. Calculate limits and derivatives of vector functions with applications to physics such as computing velocity and acceleration vectors.

6 Identify exponential, logarithmic, and inverse trigonometric functions, and compute limits and derivatives involving these classes of functions. Apply the derivative to mathematically model velocity and acceleration as well as real world related rate applications, such as calculating the rate at which the distance between two moving objects is changing or the rate at which the volume of a cone being filled with water is changing. Approximate functions and function values using the derivative and the tangent line. Identify and understand indeterminate forms and apply the derivative to calculate limits using L Hospital s Rule. Understand and apply the Intermediate Value Theorem and the Mean Value Theorem, and be able to logically determine when these theorems can be used. Use calculus and logic to sketch graphs of functions and analyze their properties, including where a function is increasing/decreasing and in describing the concavity of the function. Determine the maximum/minimum values of functions, including applied optimization problems. Compute antiderivatives and understand the concept of integration as it relates to area and Riemann sums. Articulate the relationship between derivatives and integrals using the Fundamental Theorem of Calculus, and evaluate definite integrals using the Fundamental Theorem of Calculus. Use a Computer Algebra System to solve problems. TEXTBOOK AND/OR RESOURCE MATERIAL Textbook: Stewart, Calculus: Early Transcendentals, 8 th edition, Cengage Learning. The textbook is available in different formats. You can buy a hard-back or loose-leaf copy or you can purchase an ebook within the online system WebAssign. See the link below for more information on WebAssign and purchasing options. Lab Manual: Gilat-Amos, MATLAB: An Introduction with Applications, 6 th edition, Wiley WebAssign Account Access Code: WebAssign will be used for homework in this class. In order to use WebAssign, you must purchase an access code. For access code and textbook purchasing information and options, please see the Student Information Page at GRADING POLICIES The course grading will be based on the tables below. Due to FERPA privacy issues, I cannot discuss grades over or phone. If you have a question about your grade, please come see me in person. Grade Breakdown Activity Date Percent Homework Weekly 7.5% Quizzes Weekly 7.5% Labs See Lab Schedule 5% Common Exam I Common Exam II Common Exam III Thursday, September 28, 7:30-9:30pm Thursday, October 26, 7:30-9:30pm Monday, November 20, 7:30-9:30pm 20% 20% 20% Final Exam Sections 5##-5## Day, Time, and Location 20% Sections 5##-5## Day, Time, and Location TOTAL 100% Grading Scale Range Grade 90 Average 100 A 80 Average < 90 B 67 Average < 80 C 57 Average < 67 D Average < 57 F

7 Attendance and Makeup Policies Excused absences: The University views class attendance as an individual student responsibility. It is essential that students attend class and complete all assignments to succeed in the course. University student rules concerning excused and unexcused absences as well as makeups can be found at In particular, make-up exams and quizzes or late homework/labs will NOT be allowed unless a University approved reason is given to me in writing. Notification before the absence is required when possible. Otherwise, you must notify me within 2 working days of the missed exam, quiz, or assignment to arrange a makeup. In all cases where an exam/quiz/assignment is missed due to an injury or illness, whether it be more or less than 3 days, I require a doctor s note. I will not accept the University Explanatory Statement for Absence from Class form. Further, an absence due to a non-acute medical service or appointment (such as a regular checkup) is not an excused absence. Providing a fake or falsified doctor's note or other falsified documentation is considered academic dishonesty, will be reported to the Aggie Honor Council, and will result in an F* in the course. Makeup exams will only be allowed provided the above guidelines are met. You will be allowed to make up a missed exam during one of the scheduled makeup times provided by the Math Department. According to Student Rule 7, you are expected to attend the scheduled makeup unless you have a University-approved excuse for missing the makeup time as well. If there are multiple makeup exam times, you must attend the earliest makeup time for which you do not have a University-approved excuse. The list of makeup times will be available at ADDITIONAL COURSE INFORMATION AND POLICIES Common Exams: There will be 3 common exams during the semester. These exams are evening exams taken by all Math 151 students at the same time. Bring your Texas A&M student ID and a pencil to all exams. The location of the common exams will be determined at a later time. The dates for the exams and the tentative content are as follows: Common Exam 1: Thursday, September 28, 7:30-9:30pm (Vector Supplement through 2.8) Common Exam 2: Thursday, October 26, 7:30-9:30pm (3.1 through 3.10 including Supplement II) Common Exam 3: Monday, November 20, 7:30-9:30pm (4.1 through 5.2) For Common Exams 1 and 2 only, if you take the exam and you score below a 70, you will have the opportunity to take a different exam covering the same content to improve your grade. The maximum score you may earn on a retest is 70, and if your score on the retest is higher than your first attempt, it will replace your original score, up to the maximum of 70. Tentatively, retests will be given two weeks after the common exam on Friday evening. Final Exam: The final exam will be a cumulative (comprehensive) exam and is required for all students. If your final exam grade is higher than your lowest taken common exam score, then the grade on your final will replace your lowest test grade in the course grade calculation. The day and time of the final exam are determined by the University and are given below. Sections 5##-5##: Day, Time, and Location Sections 5##-5##: Day, Time, and Location Extra Credit Opportunity: You have the opportunity to earn 5 extra credit points on your highest exam score. See the last page of this syllabus for details. Graded Homework: Graded homework assignments will be done online in WebAssign. For important information such as how to purchase access, how to log in and take assignments, the Student Help Request Form, and other WebAssign issues, please see I suggest you bookmark this page and visit it before you log in to WebAssign each time. Lab/Recitation: Your section will meet twice weekly for recitation and lab. In recitation sessions, you will take weekly quizzes. In lab you will complete MATLAB assignments. You must attend the recitation and lab you are registered for. Grade Appeals: If you believe an error has been made in grading, you have until the next class period after the exam, quiz, or assignment has been handed back to let me know. Otherwise, you must accept the grade you received. Copyright: All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor.

8 Additional Helpful Links: Help Sessions Week in Reviews Academic Calendar Final Exam Schedule COURSE TOPICS (Tentative weekly schedule) WEEK TOPIC SECTIONS COVERED 1 Vectors; The Dot Product, Parametric Equations and Vector Vector Supplement Functions 2 Inverse Trigonometric Functions; The Limit of a Function; Sections 1.5, Calculating Limits Using Limit Laws 3 Continuity; Limits at Infinity and Horizontal Asymptotes; Sections Derivatives and Rates of Change 4 The Derivative as a Function; Derivatives of Polynomial and Sections 2.8, Exponential Functions; The Product and Quotient Rules 5 Derivatives of Trigonometric Functions; The Chain Rule Sections Exam 1 (Covers Vector Supplement through Section 2.8) 6 Implicit Differentiation; Derivatives of Logarithmic Functions; Derivatives of Vector Functions Sections , Supplement II 7 Slopes and Tangents to Parametric Curves; Rates of Change in the Natural and Social Sciences; Exponential Growth and Decay Supplement II Sections Related Rates; Linear Approximations and Differentials Sections Maximum and Minimum Values; The Mean Value Theorem Sections Exam 2 (Covers 3.1 through 3.10, including Supplement II) 10 How Derivatives Affect the Shape of a Graph; Indeterminate Forms Sections and L Hospital s Rule 11 Summary of Curve Sketching; Optimization Problems; Sections 4.5, 4.7, 4.9 Antiderivatives 12 Areas and Distances; The Definite Integral; The Fundamental Sections Theorem of Calculus 13 Exam 3 (Covers 4.1 through 5.2); Thanksgiving Holiday 14/15 Indefinite Integrals and the Net Change Theorem; The Substitution Rule; Areas Between Curves Sections , 6.1 AMERICANS WITH DISABILITIES ACT (ADA) The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive 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 disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call For additional information, visit ACADEMIC INTEGRITY Cheating and other forms of academic dishonesty will not be tolerated. Aggie Honor Code: An Aggie does not lie, cheat, or steal, or tolerate those who do. Upon accepting admission to Texas A&M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning, and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on examinations, research papers, and other academic work. Ignorance of the rules does not exclude any member of the TAMU community from the requirements or the processes of the Honor System. For additional information please visit:

9 Core Objectives Critical Thinking Students will think critically about limits in determining how the limit conceptually relates to the behavior of the function. Students will think critically about continuity and differentiability to justify whether a function is continuous and or differentiable at a point. Students will evaluate the proper technique to use when computing limits and derivatives of functions. Students will synthesize data determined from the first and second derivatives to determine the properties and shape of a function. Students will use inquiry to determine on what intervals a function is increasing/decreasing and to determine the intervals of concavity of the function by analyzing the signs of the first and second derivatives. Students will innovatively think about how to solve related rate word problems and optimization problems. Students will analyze functions using continuity and the derivative in determining the maximum and minimum values of the function, and if they exist. Students will develop a critical understanding of the relationship between the derivative and the integral using the Fundamental Theorem of Calculus. Communication Skills Students will recognize and construct graphs of basic functions, including polynomials, exponential functions, logarithmic functions, and trigonometric functions. Students will justify solutions to optimization problems in writing. Students will interpret information from the derivatives of a function in order to develop a visual sketch of the graph of the function and to communicate in writing the properties of the function. Students will identify points of discontinuity and non-differentiability by examining the graphs of functions. Students will express mathematical concepts, such as the definition of the derivative, both abstractly with equations and in writing solutions to problems. Students will develop solutions to problems that involve the use of theorems, such as the Squeeze Theorem, the Intermediate Value Theorem, and the Mean Value Theorem. Students will use graphs of functions to determine the value of definite integrals as they relate to area. Students will be required to communicate orally with other group members when working on Computer Algebra System projects or other group activities. Students will communicate orally in group discussion in the required weekly recitation sessions. Empirical and Quantitative Skills Students will analyze limits numerically to determine the sign of the infinite limit. Students will analyze numerical data in determining the signs of the first and second derivative in order to make conclusions on the shape of the graph. Students will compute derivatives and interpret the results as they relate to tangent line, velocity, and other rate of change problems. Students will numerically approximate the values of a function by using the tangent line approximation. Students will calculate antiderivatives of functions and use initial data to determine any unknown constants. Students will make conclusions involving maximum and minimum values of functions (both local and absolute) based on information from the derivative. Students will manipulate given information to develop a function to be used in optimization problems and then apply calculus to find and interpret the optimal solution. Students will approximate the value of a definite integral numerically using Riemann sums. Students will compute definite integrals and interpret the results as they relate to area under a curve. Students will manipulate given information to create a related rate model involving known quantities, and then apply calculus to solve for an unknown rate of change.

10 Want to Join a Game Study? Variant: Experience Calculus, and Live to Tell About It! Variant is a learning game for Calculus I that was designed by Texas A&M students and faculty, in a partnership with Triseum LLC. We d like your input on our game! The Texas A&M s Institutional Review Board approved our research proposal (TAMU IRB D). Your feedback on the game is extremely important to us, and it will help make Variant a great game for future students in Calculus I courses. Participation in the study is voluntary. All study participants get access to the game. Study participants will 1. Read and sign an online consent form, answer demographic and profile questions, and schedule the tests. Note: Students under 18 years old need parental permission, also. 2. Come to campus on the scheduled date to take a pre-test. 3. At the end of the pre-test, participants are randomly assigned to a research group: the game intervention group or control group. A. The game intervention group will get access to the game and play the game online on your own schedule over two weeks to complete Level 4 or accumulate at least 4 hours of gameplay. After two weeks, participants return to campus to take a post-test and a survey. They may also be assigned to take a second delayed post-test two weeks later. B. The control group has no study activities for two weeks. After two weeks, control group participants return to campus to take a post-test. At the end of the post-test, they get access to the game and play the game online over two weeks to complete Level 4 or accumulate at least 4 hours of gameplay, and then take a survey about the game; They may also be assigned to take a second delayed post-test two weeks later. Individuals enrolled in a course taught by a participating instructor can earn extra credit in their course by completing all aspects of one extra credit assignment. Students may complete this game study for extra credit; completion means completing all assigned surveys, pre- and post-tests, and Level 4 of the game (or accumulating at least 4 hours of gameplay). The total estimated participation time is 5 to 6 hours over 2 to 4 weeks. Alternatively, individuals may earn extra credit from another option assigned by the participating instructor (see below) and not participate in the study. All extra credit options are voluntary. See instructor for details and approval for any extra credit task. Questions about the game study can be ed to Steve Carruthers (TAMU Protocol Director) at gamestudy@tamu.edu. TAMU IRB D Original start date 10/24/2016 Renewed and Approved 7/12/2017. End date 7/12/2018. Alternative Extra Credit Option If you choose not to participate in the game study, you may complete an alternative assignment for 5 extra credit points on your highest exam score. The alternative assignment will be done with MATLAB and will require some independent learning on your own. Your instructor will provide you with the assignment. If you choose this alternative assignment, it is due by Friday, October 20 and should be turned in to your TA. Note: You may not earn 10 extra credit points by completing both the game study and the alternative assignment.