Syllabus


 * Math 151 Generic **
 * Course Syllabus **


 * WINTER 2010 SYLLABUS -- [[file:Math 151.05 (WN10) Syllabus.pdf]]

Check JCC's website for class cancellations/delays due to weather. **

This first calculus course for business, mathematics, engineering and science students explores introductory plane analytic geometry, the derivative, the integral and their applications for algebraic, trigonometric, exponential and logarithmic functions. Graphing calculator required.
 * //__ Course Description: __//**

A 2.0 in Math 140 or course placement by examination.
 * //__ Prerequisite: __//**

Students should be able to:
 * //__ Core Course Objectives: __//**
 * Demonstrate a basic understanding of:
 * Fundamental concepts of calculus; namely the limit, the derivative, and the integral.
 * Techniques of differentiation and integration, including the ability to manipulate algebraic, exponential, logarithmic, and trigonometric expressions as required by these techniques.
 * Critically analyze problems requiring application of the derivative and the integral, such as related rates and the area between curves.
 * Demonstrate familiarity with the appropriate technological tools, such as a graphing calculator.
 * Demonstrate an awareness of the historical background specific to the course.

//A student may request an incomplete from the instructor. The incomplete will be granted only if the student can provide documentation that his or her work up to that point is sufficient in quality, but lacking in quantity, due to circumstances beyond the student's control. Furthermore, a written plan for making up the missing work within one semester must be completed by the student. Final determination of whether an incomplete will be given is the instructor's decision.// (**//JCC Policy//**)
 * //__ Incompletes Policy: __//**

Apply arithmetic skills and mathematical reasoning by solving problems, documenting process, interpreting results and evaluating the reasonableness of outcomes. Demonstrate critical thinking through questioning, interpreting, analyzing, evaluating, inferring from and synthesizing information to solve problems in a variety of settings.
 * //__ Math 151 Associate Degree __//****//__ Outcomes: __//**
 * ADO 3: Demonstrate computational skills and mathematical reasoning**
 * ADO 7: Think Critically**


 * //__ Required Materials: __//**
 * **Textbook:** Larson, R., Hostetler, R. P., Edwards, B. H., & Heyd, D. E. (2006). //Calculus: Early Transcendental Functions (4th ed.)//. Houghton Mifflin Company. (ISBN: 978-0618606245)
 * **Calculator:** Texas Instruments TI-83 or TI-84 (//TI-89 are __not permitted__ in class//)
 * **Other:** //Large// 3-ring binder, large eraser, pencils, graph paper, highlighters

A 2.0 or "C" is a passing grade. Only courses with passing grades count toward graduation. Other colleges transfer in only courses with passing grades. Many financial aid sources, including most employers, require passing grades. Additionally, earning less than a 2.0 in a class results in being unable to participate in the next level of courses in a discipline that requires Math 151 as a pre-requisite. Registering for the next course sequence without passing the pre-requisite course may result in you being dropped from that class.
 * //__ Grading Policy and Scale: __//**


 * **__Grading Scale:__** || **__Grade Calculation:__** ||
 * 90 -100% || 4.0 || In-Class Work, Quizzes, Homework: //20%// ||
 * 85 - 89% || 3.5 || Exam 1 (Ch 1-2): //15%// ||
 * 80 - 84% || 3.0 || Exam 2 (Ch 3): //15%// ||
 * 75 - 79% || 2.5 || Exam 3 (Ch 4): //15%// ||
 * 70 - 75% || 2.0 || Exam 4 (Ch 5): //15%// ||
 * 65 - 69% || 1.5 || Cumulative Final (Ch 1-5): //20%// ||
 * 60 - 64% || 1.0 ||  ||
 * 0 - 59% || 0.0 ||  ||

Students are expected to attend all class meetings, arriving on time, and staying until the end. We do a variety of in-class activities involving other students and group participation. **Those assignments may not be made up**, **therefore attendance is vital**. If absence is unavoidable the student is responsible for obtaining the missed lecture notes from other students. Exams **may not be made up** except under //extreme//, documented circumstances (**contact me immediately**). Make-ups must be taken before graded exams are returned (i.e., the next class period) or a zero will be recorded for that exam.
 * //__ Absence Policy: __//**

Typically, there will be one quiz or activity in every class session (submitted for credit). These may be individual or group, and with or without notes.
 * //__ In-Class Work, Quizzes, etc.: __//**

Specific problems from the textbook will be assigned for each section of material covered, which are to be completed outside of class time. These problems will be graded for completion and collected intermittently on previously announced dates.
 * //__ Graded Homework: __//**

Each exam will cover specific chapters from the text, but each will also have a small number of cumulative review questions on it. The final exam is cumulative for the entire course.
 * //__ Exams: __//**

There will be no opportunities for extra credit. Your grade calculation is based solely on your performance on course assignments listed above.
 * //__ Extra Credit: __//**

You are //encouraged// to talk to each other and make use of technologies to assist in your completion of assignments, but **all your submitted work must be your own.** In other words, "group-work" is a great way to learn material and an instructor's manual definitely can help you to solve problems, but anything you submit for a grade must be done by you -- reflecting your own thinking and calculations. If I suspect you of academic dishonesty, I will follow JCC's Academic Honesty Policy and take appropriate action up to and including assigning a **failing grade** for the assignment, quiz, project, exam, or the course itself (as deemed appropriate).
 * //__ Academic Honesty Policy: __//**

//The following are expectations that we can all share.// The regular in-class collaborations, examinations, homework, and occasional take-home assessments will require consistent effort on your part. More generally, mathematics is a subject that requires regular effort to understand and master. Please silence mobile phones and electronic devices, refrain from using any tobacco products, and come prepared (and on time) to ask/answer questions and work together. Regular, direct communication solves more problems than it causes. Please do not hesitate to contact me for any reason, and I will do the same.
 * //__ Classroom Expectations: __//**
 * We are each responsible** for our work, our learning, and our behavior in class.
 * We are each respectful** of everyone in the class (including ourselves).
 * We will communicate with each other promptly** regarding problems or concerns.

//Office Hours:// Meet with your instructor after class or by appointment. //Center for Student Success:// The Center is located in 125 Bert Walker Hall (JCC). //Math Help Room:// Tutoring in 245 McDivitt Hall (JCC) is available Monday through Friday. //Wolfram-Aplha//: This site is for computational science what Google is for anything linguistic. Amazing stuff. //Calculus-Help.com:// A terrific website with loads of helpful resources. There are other such websites out there, to be sure, but this one is consistently excellent. //Mathway//: A very useful tool for finding solutions (and graphs) to all kinds of problems. //Classmates:// Your fellow classmates are terrific resources! Start up a regular study group as soon as you are able. At the very least, write down names and contact information for your peers and call on each other when needed. ** Math 151 **
 * //__ Where to Get Help: __//** Here are a few ideas on where to find some assistance for this course.
 * Tentative Course Outline **


 * < ** Class Day ** ||< ** Sections Covered ** ||< ** Topics and Activities ** ||
 * < 1, 2, 3 ||< ** -- ** ||< Go over course syllabus and mechanics ||
 * ^  ||< ** -- ** ||< Algebra Review ||
 * ^  ||< ** Appendix D.1 ** ||< Real Numbers and the Real Number Line ||
 * ^  ||< ** Appendix D.2 ** ||< The Cartesian Plane ||
 * ^  ||< ** 1.1 ** ||< Graphs and Models ||
 * ^  ||< ** 1.2 ** ||< Linear Models and Rates of Change ||
 * ^  ||< ** 1.3 ** ||< Functions and Their Graphs ||
 * ^  ||< ** 1.4 ** ||< Fitting Models to Data ||
 * ^  ||< ** 1.5 ** ||< Inverse Functions ||
 * ^  ||< ** 1.6 ** ||< Exponential and Logarithmic Functions ||
 * ^  ||< ** Appendix D.3 ** ||< Trigonometry Review ||
 * < 4 ||< ** 2.1 ** ||< A Preview of Calculus ||
 * < 5 ||< ** 2.2 ** ||< Finding Limits Graphically and Numerically ||
 * ^  ||< ** 2.3 ** ||< Evaluating Limits Analytically ||
 * < 6 ||< ** 2.4 ** ||< Continuity and One-Sided Limits ||
 * ^  ||< ** 2.5 ** ||< Infinite Limits ||
 * < 7 ||< ** -- ** ||< //Review for Exam 1// ||
 * < 8 ||< ** -- ** ||< **// Examination 1 //** ||
 * < 9 ||< ** 3.1 ** ||< The Derivative and the Tangent Problem ||
 * ^  ||< ** 3.2 ** ||< Basic Differentiation Rules and Rates of Change ||
 * < 10 ||< ** 3.3 ** ||< Product and Quotient Rules and Higher-Order Derivatives ||
 * ^  ||< ** 3.4 ** ||< The Chain Rule ||
 * < 11 ||< ** 3.4 ** ||< The Chain Rule ||
 * ^  ||< ** 3.5 ** ||< Implicit Differentiation ||
 * < 12 ||< ** 3.6 ** ||< Derivatives of Inverse Functions ||
 * ^  ||< ** 3.7 ** ||< Related Rates ||
 * < 13 ||< ** 3.7 ** ||< Related Rates ||
 * ^  ||< ** 3.8 ** ||< Newton’s Method ||
 * ^  ||< ** -- ** ||< //Review for Exam 2// ||
 * < 14 ||< ** -- ** ||< **// Examination 2 //** ||
 * < 15 ||< ** 4.1 ** ||< Extrema on an Interval ||
 * ^  ||< ** 4.2 ** ||< Rolle’s Theorem and the Mean Value Theorem ||


 * ** Class Day ** || ** Sections Covered ** || ** Topics and Activities ** ||
 * 16 || ** 4.3 ** || Increasing and Decreasing Functions and the First Derivative Test ||
 * ^  || ** 4.4 ** || Concavity and the Second Derivative Test ||
 * 17 || ** 4.5 ** || Limits at Infinity ||
 * ^  || ** 4.6 ** || A Summary of Curve Sketching ||
 * 18 || ** 4.7 ** || Optimization Problems ||
 * 19 || ** 4.8 ** || Differentials ||
 * 20 || ** -- ** || Review for Exam 3 ||
 * 21 || ** -- ** || **// Examination 3 //** ||
 * 22 || ** 5.1 ** || Antiderivatives and Indefinite Integration ||
 * 23 || ** 5.2 ** || Area ||
 * ^  || ** 5.3 ** || Riemann Sums and Definite Integrals ||
 * 24 || ** 5.4 ** || The Fundamental Theorem of Calculus ||
 * 25 || ** 5.5 ** || Integration by Substitution ||
 * 26 || ** 5.6 ** || Numerical Integration ||
 * 27 || ** 5.7 ** || The Natural Logarithmic Function: Integration ||
 * 28 || ** 5.8 ** || Inverse Trigonometric Functions: Integration ||
 * 29 || ** 5.9 ** || Hyperbolic Functions ||
 * 30 || ** 7.1 ** || Area of a Region Between Two Curves ||
 * ^  || ** -- ** || //Review for Exam 4// ||
 * 31 || ** -- ** || **// Examination 4 //** ||
 * ^  || ** -- ** || //Review for Final Exam// ||
 * 32 || ** -- ** || **// Final Examination //** ||

**//PLEASE NOTE//:** This schedule //likely// //will// //change//, and any alterations will be announced in class.