School of Mathematics and Science


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1 CCBC Essex MATH 135 Applied Algebra and Trigonometry School of Mathematics and Science Section: WE1 CLASSROOM LOCATION: WWW SEMESTER: Spring 2010 INSTRUCTOR: DONNA TUPPER OFFICE LOCATION: F413 INSTRUCTOR PHONE: WEBPAGE: faculty.ccbcmd.edu/~dtupper OFFICE HOURS: WEDNESDAY 7:30PM 8:25PM AND THURSDAY 6:30PM 7:25PM COURSE PREREQUISITES: ENGL 051, RDNG 052, MATH 083 COURSE DESCRIPTION: This course covers a wide range of real world applications of collegelevel algebraic and trigonometric topics, such as linear and quadratic equations, righttriangle trigonometry and vectors, and exponents and logarithms, and students will develop problemsolving skills relevant to their disciplines. This course is primarily for students in certain technically oriented disciplines. REQUIREMENTS Your grade will consist of four tests and a list of graded homework. Each test and the combined homework assignments, account for 20% of your grade. GRADING POLICY A Total number of points between 450 and 500 B Total number of points between 400 and 449 C Total number of points between 350 and 399 D Total number of points between 300 and 349 F Total number of points received is less than 300 ATTENDANCE POLICY FOR THIS COURSE: You are expected to attend all scheduled classes. Should you miss a class, you are responsible for all work missed. Attendance is relative in an online course. You are required to either attend chat or me at least once a week with a progress report. MATERIALS: A scientific or graphing calculator. The calculator MUST be able to handle exponential, logarithmic and trigonometric functions.
2 TEXT(S): Introduction to Technical Mathematics (5 th Edition) Custom CCBC Edition Washington Triola Reda Pearson Addison Wesley (Required) SPECIAL PROCEDURES I will mail back the first three test to you, graded and with comments, within 24 hours of when I receive it. I will also post your grade to the WebCT online gradebook. All of the graded homeworks will receive a grade via within 24 hours of when I receive it. COMMENTS: Enjoy the class! CALENDAR CALENDAR SPRING 2010 FULL Term 1 st 7Week Session 2 nd 7Week Session Classes BEGIN February 1 February 1 March 24 Saturday Classes BEGIN February 6 50% refund ends February 19 February 12 April 6 MidTerm grades March 22 February 24 April 16 SPRING RECESS (COLLEGE CLOSED) March 27April 5 SaturdayMonday March 27April 5 SaturdayMonday March 27April 5 SaturdayMonday COLLEGE REOPENS CLASSES RESUME April 6  Tuesday April 6  Tuesday April 6  Tuesday Last day to withdraw with W or change April 12 March 5 April 26 to audit AU Last day of classes May 15 March 20 May 15 Final Exams May 16May 22 Last class day May 15 Final Grades entered by May 25 March 23 May 25 CLASS FINAL EXAM DATE: Absolutely NO LATER than May 20, 2010 TENTATIVE LIST OF DATED ASSIGNMENTS Assignments should be FINISHED no later than the date posted below: February 2, 2010 o Unit 1 Section 1  Scientific Notation o Begin the course by first reading my online lecture notes. Then read the corresponding sections of the text. Do the text homework and the practice homework. That will prepare you to do the graded homework. February 4, 2010 o Unit 1 Section 2  Significant Digits February 6, 2010 o Unit 1 Section 3  Algebra of Functions February 9, 2010 o Unit 1 Section 4  Direct and Inverse Variation
3 February 12, 2010 o Unit 1 Section 5  Evaluating Functions February 15, 2010 o Unit 1 Section 6  Graphing Functions February 17, 2010 o Unit 1 Section 7  Linear Functions February 20, 2010 o Unit 1 Section 8  Graphs of Quadratic Functions February 22, 2010 o Unit 1 Section 9  Reading Graphs February 24, 2010 o Unit 2 Section 1  Solving Systems of Equations o This begins unit 2. Make sure you take the practice test before you take the real test. The real test is due by March 4. February 27, 2010 o Unit 2 Section 2  Applied Systems of Linear Equations March 2, 2010 o Unit 2 Section 3  GCF and Difference of Squares March 4, 2010 o Unit 2 Section 4  General Factoring o Remember that Unit 1 Test is due today. March 7, 2010 o Unit 2 Section 5  Solving Quadratics by Factoring March 10, 2010 o Unit 2 Section 6  Solving Quadratics by Quadratic Formula o This ends unit 2 of the course. Take test 2 by March 17. Make sure you try the practice test before taking the real test. March 12, 2010 o Unit 3 Section 1  Right Triangle Trig o This begins unit 3 and the material will be on your third test. This section may be very new for many of you. Make sure you come to chat if you need me. March 15, 2010 o Unit 3 Section 2  Inverse Trig Functions March 17, 2010 o Unit 2 Test Due Today!!! March 18, 2010 o Unit 3 Section 3  Solutions of Right Triangles March 21, 2010 o Unit 3 Section 4  Application Problems March 24, 2010 o Unit 3 Section 5  More Trig Functions March 27, 2010 o Unit 3 Section 6  Oblique Triangles April 5, 2010 o Unit 3 Section 7  Reference Angles April 8, 2010 o Unit 3 Section 8  Law of Sines April 11, 2010 o Unit 3 Section 9  Law of Cosines April 15, 2010 o Unit 3 Section 10  Vectors and their Applications April 18, 2010 o Unit 3 Section 11  Graphing and Addition of Vectors April 21, 2010 o Unit 3 Section 12  Radian Measures April 24, 2010 o Unit 3 Section 13  Arc Length & Sector Area April 27, 2010
4 Unit 4 Section 1  Properties of Exponents April 30, 2010 o Unit 3 Test Due Today!!!!, May 1, 2010 o Unit 4 Section 2  Exponential Growth May 3, 2010 o Unit 4 Section 3  Logarithmic Functions May 5, 2010 o Unit 4 Section 4  Properties of Logs May 7, 2010 o Unit 4 Section 5  Common and Natural Logs May 9, 2010 o Unit 4 Section 6  Properties of Logs May 12, 2010 o Unit 4 Section 7  Applications of Logs and Exponential Decay May 19, 2010 o Exam 4 is due today. COURSE OBJECTIVES Upon successful completion of this course students will be able to: 1. define various algebraic functions (I, 2); 2. express concepts of algebra and trigonometry using appropriate terminology (I, 2); 3. solve linear and quadratic equations in applied settings (I, 2); 4. solve problems involving trigonometry, vectors, exponents, and logarithms (I, 2); 5. express mathematical information in table, graphical, formulaic, and written formats (III, VI, 2, 3); 6. apply a working knowledge of mathematical applications relevant to such fields of study as Drafting, Allied Health and to such programs as Radiation Therapy, Ultrasound, and Med Lab Tech (III, IV, 3, 4, 6); 7. analyze data and determine an appropriate mathematical function that describes the data (II, VI, 2, 3) 8. apply appropriate mathematical theories, dependent upon the nature of the specific data, to make informed decisions (I, III, VI, 1); 9. apply appropriate technology to the solution of mathematical problems (IV, 4, 5); 10. identify efficient and inefficient methods for problem solving (VI, 3); 11. utilize the Internet and other resources to research courserelated topics (I, IV, VI, 3, 4); 12. construct a solution to real world problems using problem solving methods individually and in groups (II, III, V, VI, 2, 3, 7);
5 13. examine the mathematical contributions made by people from diverse cultures throughout history (V, 5). MAJOR TOPICS 14. articulate a solution to mathematical problems (II, 2). 1. Review A. Arithmetic operations on algebraic expressions B. Scientific notation C. Ratio and Proportion D. Formula evaluation E. Rewriting application formulas in terms of any variable F. Evaluating application formulas for a given variable G. Factoring simple trinomials H. Laws of Exponents I. Linear Equations slope, intercept 2. Basic Algebraic Operations A. Significant digits B. Converting measurements from one unit to another C. Solving word problems using direct and inverse variation 3. Functions and graphs A. Linear functions, quadratic functions, and tables of data B. Representations of a function (e.g., table, graph, formula) 4. Solve equations A. 2x2 systems of linear equations and applications B. Solving quadratic equations by factoring C. Other methods for solving quadratic formula 5. Trigonometric functions A. Six trigonometric functions of any angle given in degrees or radians B. Solving right triangles and word problem applications thereof C. Linear velocity, arc length, and sector area application word problems D. Law of sines and cosines and solving application word problems E. Vectors (algebraic and geometric) and application word problems 5. Exponential and logarithmic functions A. Exponential function and exponential word problems (e.g., growth and decay) B. Logarithmic (common and natural) functions C. Properties of logarithms and solving word problems RATIONALE (Instructor s statement relating course content to student s personal and academic growth, etc.) This course is a required course for students in certain Certificate programs: Radiation Therapy, Radiography (XRay Technology), Respiratory Care Therapy, Medical Laboratory Technician, Veterinary Technology and CADD. If you are in another program for which you plan to transfer to a 4year institution, and will need to take calculus, then you should NOT register for Math 135. Instead you should register for Math 163 College Algebra. If you have questions about the Mathematics course required for your program, please consult your program coordinator.
6 ATTENDANCE POLICY Attendance at each class and lab is essential. Please be on time. Students with a legitimate problem about attendance should discuss the situation with their instructor. NOTE: The deadline for withdrawing from a course or changing to an audit for the SPRING 2010 semester is April 12 for full semester OR March 5 OR April 26 depending on shorter session. Failure to officially withdraw from a class you have stopped attending may result in an "F" grade. COURSE REPEAT POLICY Policy on Repeated Courses, page 194 of the CCBC catalog states, Students may repeat a course only once without permission. When a student repeats a course, only the higher grade is computed into the Quality Point Average (QPA). All grades will remain on the student s transcript. Before a student is permitted to register for the course for a third time, the student must have the permission of the academic dean responsible for the course. Before a student may repeat a developmental course that he or she has failed twice, the student s record must be reviewed by a support team which will make recommendations regarding enrollment. Please note: The instructor does not have the authority to grant permission to register for a third attempt at the course. DISABLED STUDENTS In accordance with the Americans with Disabilities Act, CCBC is committed to providing an environment that is conducive to learning for all students. Any student who is disabled and requires special accommodation should contact the appropriate campus as follows: Campus: Office: Room: Phone: Catonsville Office of Disabilities Support Services K Dundalk Office of Career and Life Planning A Essex Office of Disability Support Services A CODE OF ACADEMIC INTEGRITY For the College to make its maximum contribution as an institution of high learning, the entire college community must uphold high standards of integrity, honesty, and ethical behavior. In seeking the truth, in learning to think critically, and in preparing for a life of constructive service, honesty is imperative. Each student has a responsibility to submit work that is uniquely his or her own, or to provide clear and complete acknowledgement of the use of work attributable to others. To these ends, the following actions are expected of students: Complete all work on exams without assistance. Follow the professor s instructions when completing all class assignments. Ask for clarification when instructions are not clear. Report to the instructor any unauthorized information related to an exam. Provide proper credit when quoting or paraphrasing. Submit only one s own work. Students who do not accept responsibility for the integrity of their own work will experience sanctions, including a written reprimand, failure of the assignment, failure of the course, and/or dismissal from the program. For repeat and extreme offenses, the College reserves the right to suspend or expel students. WRITING POLICY The College recognizes that clear, correct, and concise use of language is characteristic of an educated person. Therefore, whenever possible, faculty members in all disciplines should require written assignments in their courses in order to encourage effective writing by their students. Also, instructors should consider the quality of writing in determining a grade for a written assignment. Poor writing can be a sufficient cause for a failing grade on a paper and, in extreme cases, a failing grade in a course. INCLEMENT WEATHER/EMERGENCY CLOSING POLICY In the event that the college (or a specific campus) opens late due to weatherrelated or other emergency conditions, classes will commence at the announced opening time and resume the normal schedule thereafter for the remainder of the day. Faculty, students, and classified staff should report to wherever they would normally have been at the announced opening time. ** Students and faculty engaged in field placement programs (such as internships, clinical placements, etc.) should discuss the handling of emergency situations at the beginning of the placement period. Both the requirements of the program and the safety of persons involved should be considered in planning a course of action in those cases where students are expected to report to offcampus locations.
7 ** For example, if you had a class that began at 9:35 and the college opened at 10:00 because of snow, you would report to your 9:35 class at 10:00. When the college closes because of severe weather or emergency conditions, announcements of class cancellations are made on local radio and television stations and the college website ( Closings and delays will also be recorded on the campus weather lines: WEATHER CLOSINGS Catonsville, Dundalk, Essex TUTORING SERVICES Students are encouraged to seek help from their instructors whenever they encounter academic difficulty (either during scheduled office hours or by appointment). In addition, each campus offers free academic support services. For more information, contact: Campus: Office: Room: Phone: Catonsville Tutoring Services F Dundalk Tutoring Services CAR Essex Student Success Center A CIVILITY AND COMMUNITY BUILDING EXPECTATIONS Creating a Culture of CARE (Compassion, Appreciation, Respect, Empowerment) As members of the CCBC community of learners, we are expected to act with respect, honesty, responsibility and accountability. Each of us is expected to be aware of the impact our behavior has on the community. CCBC wishes to each learner to commit to the following actions: Become an active and engaged learner Celebrate the richness of our diversity Respect the campus and its code of conduct Practice empathy and compassion Promote the empowerment of others MAJOR RELIGIOUS HOLIDAY POLICY Students not attending class because they are observing major religious holidays shall be given the opportunity, to the maximum extent possible, to make up, within a reasonable amount of time, any academic work or tests they miss. Arrangements between the student and the faculty member(s) for the student to make up missed assignments or tests must be made in advance of the religious holiday, at the initiation of the student. STUDENT ACCOUNTS CCBC has joined the ranks of the very few community colleges in Maryland who provide accounts to all credit students. Each student who is registered in credit classes now has an account and up to 5 Mb of storage in their mail box. This account will not be deleted even if the student graduates or leaves CCBC for any reason. For information about the system and how students can determine their address, go the CCBC Home Page and click on Student . From here students can find their address, get to an online user manual and access instructions on how to forward the CCBC to the system of choice (AOL, Comcast, Hot Mail, etc.) TESTING CENTER All tests for this course are taken at the testing center of your home campus. The tests are standard pencil/paper test and you are required to show all work. Regardless of which testing center you use, it is your responsibility to make an appointment at least a week before you plan on taking your test. A complete list of dates for exams is listed in the course calendar. You can either or call the testing center of your home campus to make an appointment. Contact information is listed below and can be found at Required Testing Material: Make sure you bring along a picture ID Pencils and rulers to take your test with. Your calculator. Remember TI 89 and TI 91 calculators are prohibited.
8 Prohibited Testing Material: any communication devices such as cell phones, PDA's, IPOD's or Blackberry's any handwritten notes any math text book Testing Center Locations: CCBC Catonsville Testing Center Room K205 CCBC Dundalk Testing Center Room L112 CCBC Essex Testing Center Room A214/215 Appointment Guidelines for Proctored Testing: Hours for Proctored Testing:
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