Humboldt State University Math 109: Calculus I. Spring Semester, 2017

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1 Instructor: Course Description Humboldt State University Math 109: Calculus I Spring Semester, 2017 Limits, continuity, derivatives, integrals, and their applications. The format of the course is lecturediscussion. A minimum grade of C- is required for this course to count toward the mathematics major. Course Goals and Student Learning Outcomes GE learning outcomes: 1) use skills beyond the level of intermediate algebra to solve problems through quantitative reasoning; 2) apply mathematical concepts and quantitative reasoning to problems. Course learning outcomes: 1) compute, by hand, the derivative of an elementary function of a single real variable; 2) know the interpretations of the derivative as: a rate of change, slope of the tangent line; 3) apply the derivative to solve problems involving: related rates, and optimization; 4) know the Fundamental Theorem of Calculus; 5) compute, by hand, definite and indefinite integrals requiring at most substitution of variables. Program learning outcomes: Dr. Peter Goetz Office Location: BSS 358 Telephone: peter.goetz@humboldt.edu Office Hours: Monday 2:00-3:00, Tuesday 9:00-10:00, Wednesday 3:00-4:00 Thursday 9:00-10:00, Friday 2:00-3:00 Class Days/Time: MTRF from 8:00-8:50 Classroom: FH 177 Prerequisite(s): GE/University Curricular Requirement Category: Math 114 or Math 115 or Math 106, or an equivalent Area B general education lower division course 1) the ability to apply the techniques of Calculus to Mathematics, Science, Natural Resources, and Environmental Engineering;

2 2) written presentations of pure and applied mathematical work that follows normal conventions for logic and syntax. HSU learning outcomes: 1) effective communication through written and oral modes; 2) competence in a major area of study. Required Texts/Readings Textbook: Calculus: Early Transcendentals, Eighth Edition, James Stewart ISBN-13: As a guide to familiarizing yourself with the textbook, and some good advice from Dr. Stewart, I want you to read To the Student on page xxiii sometime during the first week of class. Other: There is a wealth of material: sample exams, online texts, links to Calculus videos, and lots more at There is also useful material at This is the link associated to our textbook. I encourage you to use both of these online resources and to familiarize yourself with what is available there. Graphing Technology: Although not required you are highly encouraged to make use of technology to help you graph functions and visualize the concepts of the course. There are lots of apps for phones and tablets: our textbook, on pages xxiv-xxv, recommends Quick Graph or Math-Studio. There is also the web interface WolframAlpha.com. Most of the computers on campus are equipped with the application Mathematica. Any of the TI graphing calculators are also great tools. Calculator use may be limited or restricted on quizzes and exams however. Course Website: Course announcements and links to course handouts, homework assignments, solutions to quizzes and exams and other material will be posted at Bookmark the URL. I don t use Moodle or Canvas so if you are interested in knowing your approximate current course grade please or make an appointment with me. Course Expectations I expect you to participate in the course by attending all of the lectures, to arrive to class on time and prepared to learn. I expect you to read the required section in the textbook before each lecture. I expect you to be polite and respectful of your fellow class members and myself. Please refrain from cell phone

3 use in class except for emergencies and have your phone on silent during class. In general, it is expected that students spend at least two hours studying outside of class for each class meeting. Plan on spending at least 8 hours per week studying Calculus. (If you really want to excel in the course, you might need to study 12 or more hours per week.) You may expect that I: come to class prepared to teach you calculus, give clear lectures, assign homework problems that are relevant to the course, and prepare quiz and exam questions that accurately measure your progress in the course. Additionally, I am available outside of class for consultation in office hours and by appointment. I hope to share with you my passion for mathematics! Assignments and Grading Policy Homework: Homework will be assigned but not collected nor graded. A link to the homework assignments is on the course website. This document may be updated throughout the semester, so check the course website if I make an announcement about a change in the homework. Even though the homework is not part of your course grade, you need to work hard on it. Plan on spending at least 1-2 hours every day during the week to try the homework problems. Make it a priority during the first week of classes to budget specific times in which you will work on Calculus, and stick to your schedule! Most people find it difficult to learn mathematics without practicing lots of problems. If you get stuck you may go to the following website that contains solutions to problems in the textbook. I have not personally vetted each and every one of the solutions found here so proceed with caution. You should use this site as a last resource; try the problems yourself before consulting the answers. You ll need to be able to fully understand and do these problems on your own to succeed on the in-class quizzes and exams. I welcome and encourage you to make use of my office hours, or the math-tutoring lab to get help on the homework problems as well. Also you may like to form study groups with classmates to work on homework problems. Quizzes: We will have short quizzes in class approximately twice per week, usually on Tuesdays and Fridays. These will take place in the last ten minutes or so of class. The quizzes will consist of 1 or 2 problems that are very similar to the problems I have assigned for homework. I will inform you before each quiz which problems you should pay particular attention to. No make-up quizzes will be given, but I will drop your lowest 5 quiz scores from consideration. Your performance on quizzes will make up 25% of your final course grade. Exams: We will have three exams this semester. These will consist of problems similar in difficulty to the homework and quiz problems. No make-up exams will be given so mark your calendars and be sure to attend class the days of the exams. Each exam will count for 25% of your final course grade. Exam I (2.1, , ): Friday, February 24, 2017 Exam II (3.7, , ): Friday, April 7, 2017

4 Final Exam (4.7, , ): Wednesday, May 10, 2017 in FH 177 at 8:00-9:50 Extra Credit Calculus Workshops: I recommend you join a Wednesday Calculus Workshop. You will work on fun and challenging worksheets with student facilitators. This will help you on quizzes and exams, you will be able to meet your peers and form study groups, and it will help you gain mastery of Calculus. I will give extra credit points towards exams if you regularly attend a workshop. (For each time you attend a Calculus Workshop, you will earn 0.5% on your exam grade.) Workshop Schedule for Wednesdays: Time Room Course Instructor Workshop Facilitator 8:00-8:50 AM BSS 302 Goetz Yesenia Torres 11:00-11:50 AM BSS 302 Dugaw Caleb Hill 12:00-12:50 PM BSS 302 Lauck Tanya Garcia 4:00-4:50 PM BSS 308 Dugaw, Goetz, Lauck Olivia Helprin Grading Scale: All numbers listed below are percentages. I will round your overall weighted course percentage to the nearest whole percent. A: , A-: B+: 88-89, B: 82-87, B-: C+: 78-79, C: 68-77, C-: D: F: 0-54 Course Schedule of Topics: The following schedule is open to change. I will give fair advanced notification if there are any changes required. Date Topic Section Course Work 1/16 Martin Luther King Jr. Day 1/17 Preview of Calculus 1/19 Tangents and Velocity 2.1 1/20 Derivatives 2.7 Quiz 1 1/23 Derivatives 2.7 1/24 Rates of Change 2.7 Quiz 2 1/26 Derivative Function 2.8 1/27 Derivative Function 2.8 Quiz 3

5 1/30 Derivatives of Polynomials 3.1 1/31 Derivatives of Exponentials 3.1 Quiz 4 2/2 Product Rule 3.2 2/3 Quotient Rule 3.2 Quiz 5 2/6 Derivatives of Trigonometric Functions 2/7 Derivatives of Trigonometric Functions Quiz 6 2/9 Chain Rule 3.4 2/10 Chain Rule 3.4 Quiz 7 2/13 Implicit Differentiation 3.5 2/14 Implicit Differentiation 3.5 Quiz 8 2/16 Derivatives of Logarithms 3.6 2/17 Derivatives of Logarithms 3.6 Quiz 9 2/20 Rates of Change in Science 3.7 2/21 Related Rates 3.9 Quiz 10 2/23 Related Rates 3.9 2/24 Exam I (2.1, , ) 2/27 Linear Approximation and Differentials 2/28 Linear Approximation and Differentials Quiz 11 3/2 Hyperbolic Functions /3 Hyperbolic Functions 3.11 Quiz 12 3/6 Max and Min Values 4.1 3/7 Max and Min Values 4.1 Quiz 13 3/9 Mean Value Theorem 4.2 3/10 Mean Value Theorem 4.2 Quiz 14 3/13-17 Spring Break 3/20 Consequences of Derivatives for Graphs 4.3 3/21 Consequences of Derivatives 4.3 Quiz 14

6 for Graphs 3/23 L Hospital s Rule 4.4 3/24 L Hospital s Rule 4.4 Quiz 15 3/27 Curve Sketching 4.5 3/28 Curve Sketching 4.5 Quiz 16 3/30 Graphing using Technology 4.6 3/31 Cesar Chavez Holiday 4/3 Optimization 4.7 4/4 Optimization 4.7 Quiz 17 4/6 Area and Distance 5.1 4/7 Exam II (3.7, , ) 4.8 4/10 The Definite Integral 5.2 4/11 The Definite Integral 5.2 Quiz 18 4/13 The Fundamental Theorem of Calculus 4/14 The Fundamental Theorem of Calculus 4/17 Indefinite Integrals and Antiderivatives Quiz /18 The Net Change Theorem 5.4 Quiz 20 4/20 The Substitution Rule 5.5 4/21 The Substitution Rule 5.5 Quiz 21 The following two weeks were revised as of 4/23/17 4/24 FTC I, proof of FTC 5.3 4/25 Indefinite Integrals and the Net Change Theorem 5.4 Quiz 22 4/27 Integration by Substitution 5.5 4/28 More Integration by Substitution, Area between curves 5.5, 6.1 Quiz 23 5/1 Limit of a Function at a Point 2.2, 2.4

7 5/2 Limit Laws 2.3 Quiz 24 5/4 Limits at Infinity 2.6 5/5 Continuity and Differentiability 2.5, 2.8 Quiz 25 5/10 Final Exam (4.7, , ): 8:00-9:50 in FH 177 Math Tutoring Lab The Math Tutoring Lab is located on the 1 st floor of the Library (near the Help Desk). Here you can get extra help from qualified math tutors. See: for more information, and a detailed schedule. University Policies The following link provides HSU policies on: academic honesty, attendance and disruptive behavior, complaints against faculty, staff, or administrators, student code of conduct, and animals in classrooms or laboratories. It also has procedures for dropping or adding a class, please note that January 30, 2017 is the deadline to Add or Drop courses without a serious and compelling reason for the Spring 2017 semester, and campus emergencies. Finally there is information regarding counseling and psychological services, the student disabilities resource center, financial aid, and academic and career advising.

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,