LAP Vergil, syllabus term 1



68580000Boston Latin SchoolDepartment of Mathematics 2017-2018Course Calculus (459)Teacher Mr. HamiltonWebsite precalc.E-mail ahamilton3@COURSE DESCRIPTIONThis is an elective course offered to students who have mastered the prerequisite skills in Pre-Calculus. It is highly recommended that students take a math elective in their senior year in preparation for college. This course provides an excellent head start to many required college freshman math courses.Students use limits of infinite processes to develop differential and integral calculus (without the rigors of proof or the competition of an A.P. course) and use these concepts to create mathematical models. The abstract properties of elementary functions are reexamined in light of these new techniques. Students apply these new concepts to problems drawn from the natural and social sciences. essential QUESTIONSWhat is a derivative and a limit and what role do they play as a foundation for the calculus and in practical applications?In what types of problems do the various differentiation rules apply and how can a function be transformed prior to differentiation in order to apply a simpler differentiation rule?How can derivatives be applied to solve motion problems?What information does the first and second derivative give about a function and its graph?How can differentiation techniques be used in estimation problems?What is an integral and how is it related to a derivative?What is the relationship between an integral and area and volume and how can integrals be used in real life applications to find the area and volume of complex figures?What is a differential equation and how can they be used to model real world problems?How can one apply numerical techniques to compute an integral or solve a differential equation without knowing the associated antiderivative?How does one deal with exponential, logarithmic, and inverse trigonometric equations in derivatives and integrals?What is a slope field and how can it used to approximate differential equations?How is calculus useful in science, business, and other fields?POWER STANDARDSStudents should be able towork with functions represented in a variety of ways: graphical, numerical, analytical, or verbalunderstand the connections among these representationsunderstand the meaning of the derivative in terms of a rate of change and local linear approximation, and should be able to use derivatives to solve a variety of problemsunderstand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and should be able to use integrals to solve a variety of problemsunderstand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculuscommunicate mathematics and explain solutions to problems both verbally and in written sentencesmodel a written description of a physical situation with a function, a differential equation, or an integraluse technology to help solve problems, experiment, interpret results, and support conclusionsdetermine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurementhave an appreciation of calculus as a coherent body of knowledge and as a human accomplishment21st Century LEARNING EXPECTATIONSStudents will know and be able to demonstrate mastery of content and skills byGrappling with essential questions that span disciplinesEngaging in inquiry based, self-driven, authentic learningUtilizing higher order thinking skills that include the evaluation and synthesis of information and ideasCollaborating and communicating with others while also self-reflecting on personal growthApplying appropriate technology and media literacy skillsMaking connections to life and the larger world communityreading syllabusCalculus of a Single Variable 8th Edition by Larson, Hostetler, Edwards; Publisher: Houghton MifflinISBN: 0-618-5034-8Single Variable Calculus 7th Edition by Stewart (PDF version)supplies and equipmentTI-83 or TI-84 graphing calculator (Casio, TI-89 and TI-Inspire are not allowed)Memory stick Notebook or binderGRADINGYou will have 4 tests per term, which will comprise a large portion of your term average. There will be a project each term. There will also be periodic quizzes. These quizzes can be unannounced, and may not be in typical question and answer quiz form. Grades will be calculated using a total point system, not an average system. HOMEWORK I expect students to do their nightly homework. Should they do ALL of the assignments they are to receive 2 extra percentage points in their term average. Should they miss one or two assignments, no points are given nor subtracted. For EACH homework not done after two are missed the students will have 1 point subtracted from their term average. Example: A student has an 82.3 average and has missed 5 homeworks. New term average, 79.3. This is the only way homework is to be factored into a student’s grade.CALCULATORThis course will incorporate a basic fluency in graphing calculator technology and programming. This aspect of the course will be taught in the language shared by the TI-83, TI-84, TI-89 and all variations thereof. Other calculators such as TI-inspire are formatted differently and are, to some degree, in a different language. Students with such calculators will be at a disadvantage when it comes to technology support in the classroom. CONDUCT-Be present and on time for every class-Come prepared (text book, notebook, calculator, pencil)-Be active and attentive in the class-Leave food, drink, and gum outside of the classroom-Raise your hand with a question or comment-Treat the classroom with respect by keeping it clean and respecting the property of the school and your classmates.OFFICE HOURSI will be available each day before school. I may be available after school as well, but this will be revisited as the year progresses. Student, Parents, and Teacher:Please read the above information for (course) together, and indicate by your signatures on the reverse of the (color) copy of this syllabus that you understand the purpose, format, and expectations of this course. Please return the (color) copy to me and keep the white copy for your own reference. Please feel free to see, call, or e-mail me with any questions or problems you might have. Student:I have read and I understand the course description and classroom expectations for (course name).Student signature DateStudent e-mailParent:I have reviewed the course description and classroom expectations for (course) with my son or daughter.Parent signature DateParent e-mailParent phone/s ................
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