Math 400 Calculus I Folsom Lake College Fall 2016 Monday/Wednesday/Friday section 16323 Course Meetings: MWF 10:20am noon Aspen Hall 208 (FL1) Folsom Lake College Instructor: Kevin Pipkin Office: Aspen Hall 144 (FL1) Phone: (916) 608-6674 E-mail: pipkink@flc.losrios.edu Website: www.flc.losrios.edu/~pipkin Text: Calculus Early Transcendental Functions 4 th ed, by Larson, Hostetler, Edwards. (Publisher: Brooks/Cole) Bring the text to each class meeting. (See my website s main page for a picture and ISBN information.) Office Hours: Monday Tuesday Wednesday Thursday Friday 1:00pm 2:00pm 10:30am noon 1:00-1:30pm online 9:00am 10:30am 8:00am 8:30am or by appointment just ask Office hours are not for repeating a lecture. These should be used to ask for assistance on specific homework problems, questions from the text, or specific information from the lecture. You should bring in your notes and other problems you have been working on including the recommended problems. Learning math is a hands on task. Course Description: This course explores the basic concepts of analytic geometry, limits of functions, derivatives, and integrals. Topics covered will include finding the limits of functions by graphing and indeterminate forms of algebraic expressions. Graphing, derivatives, and integrals involving algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions will also be covered. Many applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, optimization, and finding areas of bounded regions. Prerequisite: Minimum C or better in Math 370 (Pre-Calculus) or placement into Math 400 via the assessment process. Page 1
Course Objective/Requirements: This is a five-unit course that meets for 5 hours of lecture each week. Credit for this course is degree applicable and transferable. First semester Calculus is the first college level math course for Math, Science, Engineering, and Computer Science majors. It is also a requirement for many other majors. Calculus allows us to take the previously learned concepts (arithmetic, algebra, functions, trigonometry, exponents/logarithms, conics, sequences, etc.) and allows us to study them from a very different approach. You will also begin to learn the subject of mathematics from a more abstract point of view. Proving and deriving concepts will be a regular part of our math diet. Students need to be adept at nearly every concept from the pre-requisite chain of courses leading up to Math 400. Very little, if any, time will be spent going over concepts from previous courses. You should expect to spend at least ten hours per week on homework and study outside of class in order to be successful in learning the Material. Students are expected to read the text and should regularly be comparing the text to class notes. For many concepts, there is not one unique method for developing/deriving the material and you will be accountable for the methods covered in class unless otherwise indicated. Class Policy: You should act like you are in a institution of higher learning. You are expected to behave in a courteous manner both toward your classmates and me at all times. Profanity is unacceptable. I do not allow any electronic devices such as phones, smart devices, headsets, etc. in the classroom. Tablet devices may be used for note taking but may not be used for personal communications, games, or other activities that may distract you or others from the lecture itself. If you are behaving in a manner that inhibits me from teaching or anyone around you from learning, you will be asked to leave and disciplinary action will be pursued. I encourage participation in class and may call on individuals to help solve problems or answer questions. Please show respect for those volunteering to help in class and allow others to have the same opportunity. Please do not distract other students or the instructor from the task at hand. Attendance: FLC policy states that you may be dropped after missing 6% of the class meeting time. For this course, if you have missed more than 3 days of class, you may be dropped from the course at my discretion. It is the student s responsibility to find out about any missed announcements and lecture material. Getting class notes from one of your peers and inquiring with them about the missed day is a good idea. Arriving more than 5 minutes late or leaving the class early can be constituted as an absence. Monday, Sept. 5: No class (Labor Day Holiday) Friday, Nov. 11: No class (Veteran s Day Holiday) Tuesday, Nov. 15 is the last day to withdraw from the course and receive only a W. Friday, Nov. 25: No class (Thanksgiving Holiday. The college is closed on Nov. 24 and 25.) Wednesday, Dec. 7: last lecture day for this course. (Regular semester for the college ends on Thurs., Dec. 8.) Homework: (All graded work is to be done in pencil.) Required homework assignments will be posted in class and will be collected approximately every other class session at the beginning of class. Due dates will be announced in class. In addition to the required homework, there will be recommended problems assigned for each section to help guide you as you practice and study. These will not be collected but are a critical component of your study and preparation for exams and should also be attempted before coming to office hours. Homework will be considered late after the first 5 minutes of class. Late homework will not be accepted but the lowest homework assignment of the semester will be dropped. You should work ahead on assignments between each class meeting. It will be extremely difficult to keep up with the class if you do not. I may not be able to answer homework questions during class time so take advantage of my office hours, studying with your peers, and the tutoring center. Homework guidelines are posted on the website and listed towards the end of the syllabus. Page 2
Calculators: Calculators will not be allowed on exams and quizzes. Scientific calculators may be required for some assignment problems but only to give approximate solutions. Students should not have to purchase a calculator for these few assigned problems because there are numerous online and free applications available. Graphing technology may be used in class from time to time to introduce or demonstrate concepts but you are not required to have a graphing calculator. Free graphing software and links to helpful online sources will be available on my website that can be used if you wish to spend additional time outside of class on these introductory concepts. Exams and Quizzes: (All graded work is to be done in pencil.) There are three exams scheduled (not counting the Final Exam). These exams will cover chapters 2-5. The approximate dates are 9/23, 10/28, 12/02. They are designed to meet the learning outcomes for the course. Calculators and notes will not be allowed on exams as this would fundamentally alter the design of the curriculum. All exams will be announced but quizzes may not be announced. Come to class prepared. Exams and Quizzes may not be made up. The Final Exam score (less 10%) may be used to replace a missing exam but you must maintain a Homework percentage of 75% or more to take advantage of this policy. This policy is to respond to situations such as being sick on an exam day, family or work emergency, or transportation issues. The course grade is based on your overall performance, not just the final itself. Final Exam: The final exam is cumulative, mandatory, and cannot be made up. The final exam is on Friday, Dec. 9 from 11:00am 12:50pm. Please mark your calendar now and be prepared for this date. The Final Exam score (less 10%) may be used to replace a single missing exam. This policy is to respond to situations such as being sick on an exam day, family or work emergencies, or transportation issues. The course grade is based on your overall performance. Passing the Final Exam does not guarantee passing the course. Grading: Letter grades will be calculated based on the following overall percentages: A: 90% - 100% B: 80% - 89% C: 70% - 79% D: 60% - 69% F: below 60% Scores will be weighted as follows: Exams & Quizzes 65% Homework 10% Final Exam 25% Friday, Dec. 9 11:00am 12:50pm The Grade for the course is based on your performance in the entire course, not just the Final Exam. However, if your overall grade in the class rounds to a 69%, 79%, or 89%, it will be considered as a borderline case. These are the only grades that may change. I will only raise the grade higher if the homework percentage is 75% or more and the score on the Final exam has a higher letter grade than the borderline percentage. For example, if your grade in the course rounds to a 69% and your homework percentage is 75% or higher, then your grade in the class will be a D unless your final exam is a C or better. Page 3
Learning Outcomes and Objectives for MATH 400 Upon successful completion of this course, the student will be able to: calculate limits and derivatives of algebraic and transcendental functions using a variety of techniques. demonstrate a knowledge of basic facts and formulas with limits, derivatives, and integration. graph algebraic and transcendental functions using information from limits, continuity, and derivatives. solve problems using derivatives including equations of tangent lines, related rates applications and optimization application problems. apply both the limit process and the Fundamental Theorem of Calculus to evaluate area related problems and utilize the appropriate substitution techniques to evaluate integrals. prove calculus theorems related to limits and derivatives. Academic Integrity: If you are caught cheating on an exam or quiz, you will receive a zero for its score and not be allowed to replace the score or take any kind of makeup. I will complete paperwork to ensure that there is a record of your dishonesty. When you are taking a test, it is your job to cover your work so that no one else can see what you are doing. Keep your eyes on your own paper and make it abundantly clear to me that you are working alone. I may assign seating during tests or ask you to change seats during exams. During an exam, you should not speak to anyone other than me. You may only have materials approved by your instructor on your desk. All notes and electronic devices are prohibited unless specified by the instructor. Expectations: You will not necessarily understand the material when you walk out of class. The Required Homework Problems provide a small cross section of key concepts to study and master, they are not designed to be sufficient to prepare you for exams. Hours will need to be spent rewriting notes, practicing problems, and studying in order to first understand, and then master and become efficient with the material. Mastery implies not just understanding, but also to be efficient and process the information quickly. Use proper notation. You need to be able to accurately communicate in writing your method and your solution. There is an abstract nature to this course. Your job is to understand and be able to explain why? for much of what we study. Help Hints: Take thorough notes during class. A very good study habit is to rewrite your notes each day into a better organized and more concise set of information. Work through the book examples and as many additional book exercises as possible before beginning your assignments. Your classmates are one of your best sources for assistance. Make a point of meeting with some of them on a regular basis to help fill in missing gaps in your knowledge. There are a few links to online resources on my website that may be useful during the semester. Take advantage of my office hours and the free tutoring through the college. Don t wait to get assistance. Page 4
Disclaimer: All information on the syllabus is subject to change if the instructor finds it necessary. Any change will be announced during a class session and will be posted to the website. Absent students are still responsible for any announced changes. If you have any special circumstances that I need to be aware of, please let me know immediately. Math 400 Homework Guidelines: Write in Pencil. Part of the Homework score will be in the presentation. Your name, the class, and assignment number should be on the top right corner of the front page of your assignment. The list of sections and problems assigned should also be at the top of the front page of the assignment. Write the question down. Summarize the information if it is a word problem and sketch the diagram/graph if one is given. The work should be organized and easy to follow. This includes using proper notation. The solution should be correct. This is the work and the answer. Read the directions. Skip a line between problems. Make certain to work the problems in order. Staple in the upper left corner and trim away any perforated edges before turning in the assignment. The instructor should be able to easily find a problem, its work, and answer. Page 5