Welcome to FDMAT 112 - Calculus I
The concepts you will learn in this course are the same as a traditional first semester calculus course and include limits, continuity, derivatives, integrals, transcendental functions, and applications of these concepts. However, this course is different from all other math classes you have taken. In most math classes you learn new concepts, why they work, how to calculate them, and then how to apply them as you progress through the material. This course is formatted so that you will learn the "Hows" during the first half of the semester, and the "Whys" during the second half of the semester.
This means that during the How half of the semester, you will use data and graphical explorations to help you learn the mechanics of finding derivatives and integrals. You will learn to notice patterns, use the patterns to determine formulas, and calculate derivatives and integrals of various functions. You will not learn the accompanying theorems at this point in the course. Remember, you are learning how to do calculus here, not why it works.
During the second half of the semester, you will learn the "Why" of calculus by exploring the mathematics behind the techniques you learned during the earlier part of the semester. This is where you will learn the theorems behind the Hows, as you revisit the same topics on a deeper level and complete higher level applications.
The course is taught this way for several reasons. For those of you who are concurrently enrolled in other courses that require calculus, you have the skills you need to complete assignments in those courses earlier in the semester than you would in a traditional calculus course. Also, topics are revisited multiple times which allows for deeper understanding every time the topics are repeated. In the Hows, the work is mostly memorization and practice of the concepts. By the middle of the semester, the mechanics will be firmly rooted in your mind and the Whys will become easier to understand and follow throughout the rest of the semester. There will be much less memorization and a greater focus on understanding the theory behind the mechanics.
After successful completion of this course you will be able to:
- Understand the meaning of the limit of a function. Use the delta-epsilon definition of the limit to prove the limit of a given function does or does not exist.
- Prove a function is continuous or discontinuous at a point.
- Find limits of various functions analytically.
- Use the definition to find the derivative of a function. Describe when a derivative exists.
- Apply basic differentiation rules to various functions.
- Understand and use the Chain Rule to solve various problems including those involving implicit differentiation.
- Use the derivative to solve application problems including optimization and related rates.
- Find antiderivatives of various functions.
- Use the Fundamental Theorem of Calculus to evaluate definite integrals.
- Use different integration techniques including change of variables and integration by parts.
- Use integrals to solve various application problems including volumes, arc length, area of a surface revolution, and work.
You must have an ACT Math score of at least 27 (or an SAT Math score of at least 620) to register for this course.
You should also have taken MATH 109 (Precalculus), OR FDMAT 110 (College Algebra) and MATH 111(Trigonometry), or gained these proficiencies in high school prior to taking this course.
You will complete a Calculus Readiness Quiz over Precalculus material the first day of the semester. This quiz will further help to determine whether you are ready for this course or need to take a different course.
Note: If you have any questions pertaining to your preparation for this course, please contact your instructor or your academic adviser right away.
Learning is not a spectator sport and this is especially true of mathematics. You are expected to do at least 3 hours of study each day, Monday through Friday. You may also wish to use some time on Saturdays.Take a few minutes right now and figure out exactly which hours of each day you will reserve for your studies. If you do not have three hours available on a daily basis, you are strongly admonished to take this course in a future semester.
- TEXT: The required text for this course is available as part of an online package called MyMathLab (MML). Your student account will be charged after the add/drop date (about one week after the first day of class) in order to have access to MML which is where the textbook, homework, quizzes, and exams for this course are housed. You will learn more details about this during the first week of the semester.
- CALCULATOR: You are allowed to use a scientific calculator for this course; graphing calculators are not allowed. The recommended calculator is one from the TI-36X Pro line. You may purchase one at a store near you or through the BYU-I University Store.
- MICROSOFT: You will need to submit a few typed documents during the semester. If you do not already have Microsoft Word installed on your computer, follow the instructions on the Microsoft Student Download page from the BYU-I University Store website to download and install the Microsoft Suite. This download is free to BYU-Idaho students.
- BINDER: You will be asked to print many worksheets during the semester. Work the math problems directly on the printed sheets, and then save your completed worksheets in a binder or notebook.You are asked to print the worksheets rather than copying the problems onto another sheet of paper to reduce errors and increase your learning. Therefore, you are highly encouraged to have a printer available. You should also purchase a binder or notebook, or use one already in your possession.This binder will hold your notes and worksheets.
- NOTEBOOK: You will also need a notebook or separate binder to store your worked homework problems. This notebook can only contain your homework problems; no additional notes or other items can be included. The reason for the separate notebook is because you are allowed to use your homework notebook while you take each quiz; however, you may not use any other notes or worksheets.
- WEBCAM AND MICROPHONE: During the course, you will meet with your group members about once each week in a Google Hangout on Air (HOA), record the sessions, and submit the recorded video to your instructor. Creating the necessary Google and YouTube accounts are free and you will learn how to create a recorded HOA within course assignments. However, in order to complete the vital group discussions, you must have a functioning webcam and microphone. (You might also use them to participate in your instructor's weekly Office Hour.) If your computer already has an internal webcam and microphone, please use them. If not, you will need to purchase and set up an external device. You can do so through the University Store or another retailer.
Compare prices for your textbooks through the University Store Price Comparison site. They will show you all of the options from the University Store plus several online options to help you find the best price.
Now you are all set!
Learning Model Architecture
If you are new to BYU-Idaho, you may not be familiar with the BYU-I Learning Model. The Learning Model is the basis for all BYU-I courses and consists of five foundational principles and three steps. The five principles are: Learners and teachers at BYU-Idaho…
- Exercise faith the Lord Jesus Christ as a principle of action and power.
- Understand that true teaching is done by and with the Holy Ghost.
- Lay hold of the word of God.
- Act for themselves and accept responsibility for learning and teaching.
- Love, serve, and teach one another.
Based on these five principles, the process steps are to Prepare, Teach One Another, and Ponder/Prove.
In this course, you will complete an assignment at the end of each day's lesson to prepare you for the next lesson. These Prep activities might include reading text explanations of new material or a review of prior knowledge. Worksheets used in the Prep activities should be printed and saved in your notebook. You will use the worksheets to answer the accompanying questions. You can answer the questions as many times as you would like before the next day at 12:00 pm MT (noon). The purpose of these activities is to prepare your mind for the next lesson.
The Prep quizzes will be completed using Maple TA. This program is being paid for by the university to enhance your experience in this course. You do not need to setup an account; simply click on the links provided in the course to access Maple TA and then select the corresponding assignment. You will complete the work in Maple TA and your instructor will ensure that your scores are transferred to I-Learn. If you have any questions, please contact your instructor.
Teach One Another
As you love, serve, and teach one another, your learning experience will be deepened and enriched. This is also true in an online course, but online students love, serve, and teach one another is a bit differently than do students in a physical classroom.
In each week's module, you will find an Ask a Classmate board. Please visit this board for a few minutes several times during the week. For the concepts you understand well, post answers to your classmates' questions. For the concepts you need help with, use this board to ask a question.
Another way that you will love, serve, and teach one another is by meeting with your group. By the beginning of Week 3 you will meet with your group once a week to complete a lesson activity. These group meetings are in important part of the course and are mandatory. You will select a day and time that works for you and will be assigned a group according to your preferences. Come prepared to each meeting to ask and answer questions. The connections you make with your classmates will be an important source of strength and connections to others as you learn together throughout the semester. Your group can also choose to function like a study group and contact one another throughout the week as questions arise.
Homework is an important aspect of your daily lessons. It is through homework that you will ponder and master the concepts and techniques you learn. (Note: The homework assignments for Week 01 will be completed in Maple TA rather than I-Learn.)
The quizzes you take every other week will be based upon your homework problems. There will be a total of seven homework quizzes throughout the semester. It is critically important that you faithfully do your homework on time, write out the problems on paper, and keep your solutions in your notebook.
In addition to the homework and the homework quizzes, you will also take exams in this course. There are six exams and a final. Each exam is proctored. You are responsible for finding and paying for a proctor.Exams will open on Thursday and close on Saturday of the week in which they occur. Each exam is cumulative. Full details are provided in the course.
Your semester letter grade will be assigned according to the standard BYU-I grading scale. The grades you earn will be calculated according to the grading structure listed below.
Prepare Assignments - 10%
As described above, the daily Prep activities are foundational to your learning. The activity questions can be answered as many times as you would like prior to the due date.
Homework - 10%
You will complete daily homework assignments in order to practice and master the lesson concepts. For the first week of the semester you will complete these assignments in I-Learn. For the remainder of the semester you will complete them using your MML account.
Homework Quizzes - 10%
You will complete a quiz every other week. The quizzes will test your skills developed by mastering the daily homework assignments. The first quiz will occur at the end of the first week of the semester and cover Precalculus topics from the review exercises. Your lowest quiz score will be dropped.
Exams - 50%
Every other week you will take an exam; on alternate weeks than the quizzes. You will take six exams during the semester beginning at the end of Week 2. Beginning with the second exam in Week 4, each exam will be cumulative. This will help you remember what you have learned as you strive to solidify the concepts in your long term memory. Each exam is proctored. It is your responsibility to secure a proctor and pay for any proctoring fees. Full details are provided in the course.
Final Exam - 20%
Just as with other exams, the final exam is cumulative and proctored. You will also complete some review assignments to help you prepare for this exam.
Late work is not accepted. Take all quizzes and exams as directed and submit them before their deadlines. No make-up tests or quizzes will be allowed.
In the rare circumstance that you become hospitalized or are involved in an accident, experience a death in the family, or have a child please contact your instructor as soon as possible to discuss your options and decide the best course of action.
If you have a disability which may impair your ability to complete this course successfully, please contact Disability Services. For full information regarding the student honor code, disability, sexual harassment, or complaints and grievances policies, refer to the University Policies document located in the Course folder in I-Learn.
This syllabus may be altered at any time.