Austin Community College District



Prerequisites for CalculusThere are two calculus sequences at ACC (and at most colleges) -- Business Calculus and Calculus. The prerequisite sequence is different for these. Depending on background, students may start the prerequisite sequence at different placesIntermediate Algebra (MATD 0390)Intermediate Algebra (MATD 0390)???College Algebra**(MATH 1314)?Math for Bus & Eco(MATH 1324)College Algebra(MATH 1314)*Trigonometry (MATH 1316)???????????Business Calculus I (MATH 1425)Precalculus (MATH 2412)??Business Calculus II (MATH 1426)Calculus I (MATH 2413)?Calculus II (MATH 2414)?Calculus III (MATH 2415)Where to start: The only way that students may skip courses in a sequence is to begin higher in the sequence, based on current knowledge of material from high school courses. A student who needs a review of high school Algebra II will start in Intermediate Algebra (or below.) A student who completed high school Algebra II, but no higher, and whose assessment test score indicates that he/she remembers that algebra, will start in College Algebra or Math for Business & Economics. A substantially higher assessment test score enables the student to start in Trigonometry.A student who completed some precalculus, elementary analysis, or trigonometry in high school, and whose assessment test score indicates that he/she remembers algebra, is eligible to start higher in the sequence than College Algebra. Check the catalog or the math web page.**** The material in the Trigonometry course requires that students are quite adept with the skills from high school Algebra II (Intermediate Algebra). Some students will achieve that level of skill in the College Algebra course if their placement score is high enough, while others need an additional semester of work on algebra that is done in two courses, Intermediate Algebra and College Algebra. ** Some students who are very successful in College Algebra are tempted to skip either Trigonometry or Precalculus and enroll in Calculus I. That is not acceptable. Trigonometry topics are essential to success in Calculus, and while it is true that the topic list for Precalculus has only a few additions from the topic list for College Algebra, the level of sophistication of the presentation and the problems on all topics is greater in Precalculus. That increased sophistication is necessary for an adequate background for the Calculus sequence. *** Notes about the Business sequence: Texas State University requires Math for Business and Economics and Business Calculus I. Students who will attend the UT College of Business must complete the entire Business Calculus sequence before transferring. For more information, including requirements for UT economics students, see *** For additional information, including prerequisite review sheets for most courses, see First Day Handout for StudentsMATH 2413 CALCULUS I Session (Fall/Spr/Sum 2010/11)Synonym & Section: Time:Room :Instructor:Office:Office Hours:Office Phone:Other times by appointmentE-mail:Web Page: (if any)COURSE DESCRIPTIONMATH 2413 CALCULUS I (4-4-0). A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral. Prerequisites: MATH 2412 with C or better or equivalent. Another option is an appropriate secondary school course (one year of precalculus or the equivalent, including trigonometry, with a B or better) and a satisfactory entrance score on the ACC Mathematics Assessment Test.REQUIRED TEXTS/MATERIALSThe required textbook for this course is:Calculus: Concepts and Contexts,4th ed., by James Stewart, Brooks/Cole 2010Optional: Student Solutions Manual, Single Variable ISBN 0-495560618 by Jeffrey A. Cole, Study Guide ISBN 495560642 by Dan Clegg, Scientific Notebook software, single version, Doing Calculus with Scientific Notebook, by Daniel W. Hardy, Carol L. Walker.Technology required: You must have access to technology which enables you to (1) Graph a function, (2) Find the zeroes of a function. Most ACC faculty are familiar with the TI family of graphing calculators.?Hence, TI calculators are highly recommended for student use.? Other?calculator brands can also be used.? Your instructor will determine the extent?of calculator use in your class section.INSTRUCTIONAL METHODOLOGY: This course is taught in the classroom primarily as a lecture/discussion course.COURSE RATIONALE:This course is the first course in the traditional calculus sequence for mathematics, science and engineering students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally) to focus on conceptual understanding. At the same time, it retains the strength of the traditional calculus by exposing the students to the rigor of proofs and the full variety of traditional topics: limits, continuity, derivative, applications of the derivative, and an introduction to the definite integral.COURSE EVALUATION/GRADING SCHEME:Grading criteria must be clearly explained in the syllabus. The criteria should specify the number of exams and other graded material (homework, assignments, projects, etc.) Instructors should discuss the format and administration of exams. Guidelines for other graded materials, such as homework or projects, should also be included in the syllabus. COURSE POLICIES:The syllabus should contain the document “General Policies and Info for ACC Students” which can be found in these materials.The syllabus should also contain the following specific policies of the instructor:Missed exam policyLate work policy (if applicable)Class participation expectationsReinstatement policy (if applicable)COMMON COURSE OBJECTIVES: Common course objectives should be included. They can be found at: Course-Specific Support Services: Sometimes sections of MATH 0187 (1-0-2) are offered. This lab is designed for students currently registered in Calculus I MATH 2413. It offers individualized and group setting to provide additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours.ACC main campuses have Learning Labs which offer free first-come first-serve tutoring in mathematics courses. The locations, contact information and hours of availability of the Learning Labs are posted at: (Give Learning Lab Room # at your campus.)Calendar/Syllabus/Suggested Testing Schedule: PRIVATE16-Week Semester11-Week Semester?Week 1Chapter 1Week 1Chapter 1, 2.1Week 22.1, 2.2, 2.3Week 22.2, 2.3, 2.4Week 32.4, 2.5Week 32.5, 2.6, 2.7Week 42.6, 2.7Week 42.8, 3.1, 3.2, 3.3Week 52.8, 3.1Week 53.4, 3.5, 3.6, 3.7Week 63.2, 3.3Week 63.8*, 3.9, 4.1*Week 73.4, 3.5Week 74.2, 4.3, 4.4Week 83.6, 3.7, 3.8*Week 84.5, 4.6, 4.7*Week 93.9, 4.1*,Week 94.8, 5.1, 5.2Week 104.2, 4.3Week 105.3, 5.4, 5.5Week 114.4, 4.5Week 11Extra practice, ReviewWeek 124.6, 4.7*??Week 134.8, 5.1??Week 145.2, 5.3??Week 155.4, 5.5 ??Week 16Extra practice, Review ??Please note: schedule changes may occur during the semester. Any changes will be announced in class. SEQ CHAPTER \h \r 1General Policies and Info for ACC Students (page 1 of 2)Attendance/Class Participation: Regular and punctual class attendance is expected of all students. If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class.Withdrawal Policy: It is the responsibility of each student to ensure that his or her name is removed from the roll should he or she decide to withdraw from the class. The instructor does, however, reserve the right to drop a student should he or she feel it is necessary. Students who miss more than 5 classes may be withdrawn although the instructor makes no commitment to do so. If a student decides to withdraw, he or she should also ensure that the withdrawal is submitted before the Final Withdrawal Date. After the last day to withdraw neither the student nor the instructor may initiate a withdrawal. The deadline for withdrawal is: ______________________. Students who enroll for the third or subsequent time in a course taken since Fall 2002 may be charged a higher tuition rate for that course. Furthermore, State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities. With certain exceptions, all course withdrawals automatically count towards this limit. Details regarding this policy can be found in the ACC college catalog.Incomplete Grades: An instructor may award a grade of “I” (Incomplete) if a student was unable to complete all of the objectives for the passing grade in a course. An incomplete grade cannot be carried beyond the established date in the following semester. The completion date is determined by the instructor but may not be later than the final deadline for withdrawal in the subsequent semester. Incomplete grades will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.Statement on Scholastic Dishonesty: A student attending ACC assumes responsibility for conduct compatible with the mission of the college as an educational institution. Students have the responsibility to submit coursework that is the result of their own thought, research, or self-expression. Students must follow all instructions given by faculty or designated college representatives when taking examinations, placement assessments, tests, quizzes, and evaluations. Actions constituting scholastic dishonesty include, but are not limited to, plagiarism, cheating, fabrication, collusion, and falsifying documents. Penalties for scholastic dishonesty will depend upon the nature of the violation and may range from lowering a grade on one assignment to an “F” in the course and/or expulsion from the college. See the Student Standards of Conduct and Disciplinary Process and other policies at Rights and Responsibilities: Students at the college have the rights accorded by the U.S. Constitution to freedom of speech, peaceful assembly, petition, and association. These rights carry with them the responsibility to accord the same rights to others in the college community and not to interfere with or disrupt the educational process. Opportunity for students to examine and question pertinent data and assumptions of a given discipline, guided by the evidence of scholarly research, is appropriate in a learning environment. This concept is accompanied by an equally demanding concept of responsibility on the part of the student. As willing partners in learning, students must comply with college rules and procedures.Safety Statement: Austin Community College is committed to providing a safe and healthy environment for study and work. You are expected to learn and comply with ACC environmental, health and safety procedures and agree to follow ACC safety policies. Additional information on these can be found at . Because some health and safety circumstances are beyond our control, we ask that you become familiar with the Emergency Procedures poster and Campus Safety Plan map in each classroom. Additional information about emergency procedures and how to sign up for ACC Emergency Alerts to be notified in the event of a serious emergency can be found at .Please note, you are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be dismissed from the day’s activity, may be withdrawn from the class, and/or barred from attending future activities.General Policies and Info for ACC Students (page 2 of 2)Statement on Students with Disabilities: Each ACC campus offers support services for students with documented disabilities. Students with disabilities who need classroom, academic or other accommodations must request them through the Office for Students with Disabilities (OSD).??Students are encouraged to request accommodations when they register for courses or at least three weeks before the start of the semester, otherwise the provision of accommodations may be delayed. ? Students who have received approval for accommodations from OSD for this course must provide the instructor with the ‘Notice of Approved Accommodations’ from OSD before accommodations will be provided. Arrangements for academic accommodations can only be made after the instructor receives the ‘Notice of Approved Accommodations’ from the student. Students with approved accommodations are encouraged to submit the ‘Notice of Approved Accommodations’ to the instructor at the beginning of the semester because a reasonable amount of time may be needed to prepare and arrange for the accommodations. ?Additional information about the Office for Students with Disabilities is available at of ACC email: All College e-mail communication to students will be sent solely to the student’s ACCmail account, with the expectation that such communications will be read in a timely fashion. ACC will send important information and will notify you of any college related emergencies using this account. Students should only expect to receive email communication from their instructor using this account. Likewise, students should use their ACCmail account when communicating with instructors and staff. Instructions for activating an ACCmail account can be found at Center Policy: Under certain circumstances, an instructor may have students take an examination in a testing center. Students using the Academic Testing Center must govern themselves according to the Student Guide for Use of ACC Testing Centers and should read the entire guide before going to take the exam. To request an exam, one must have:1.ACC Photo ID2.Course Abbreviation (e.g., ENGL)3.Course Number (e.g.,1301)4.Course Synonym (e.g., 10123)5.Course Section (e.g., 005)6.Instructor's NameDo NOT bring cell phones to the Testing Center. Having your cell phone in the testing room, regardless of whether it is on or off, will revoke your testing privileges for the remainder of the semester. ACC Testing Center policies can be found at And Instructional Services: ACC strives to provide exemplary support to its students and offers a broad variety of opportunities and services. Information on these services and support systems is available at: to many student services and other information can be found at: Learning Labs provide free tutoring services to all ACC students currently enrolled in the course to be tutored. The tutor schedule for each Learning Lab may be found at: help setting up your ACCeID, ACC Gmail, or ACC Blackboard, see a Learning Lab Technician at any ACC Learning Lab.Course Objectives for MATH 2413:Find limits of functions (graphically, numerically and algebraically) Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions. Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivative to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve. Construct detailed graphs of nontrivial functions using derivatives and limits. Use basic techniques of integration to find particular or general antiderivatives. Demonstrate the connection between area and the definite integral.. Apply the Fundamental theorem of calculus to evaluate definite integrals. Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems. Student Learning Outcomes for MATH 2413:Upon successful completion of this course, students will:Solve tangent and area problems using the concepts of limits, derivatives, and integrals.Draw graphs of algebraic and transcendental functions considering limits, continuity, and differentiability at a point.Determine whether a function is continuous and/or differentiable at a point using limits.Use differentiation rules to differentiate algebraic and transcendental functions.Identify appropriate calculus concepts and techniques to provide mathematical models of real-world situations and determine solutions to applied problems.Evaluate definite integrals using the Fundamental Theorem of Calculus.Demonstrate an understanding of the relationship between derivatives and integrals using the Fundamental Theorem of Calculus. ................
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