Course Syllabus* Math 051 Intermediate Algebra Virtual Campus of H.A.C.C. Spring 2015 Course Information Sheet: Course title and number: Math 051Intermediate Algebra (CRN33947 and 33349) Division Name: Math and Science Division Department: Math and Computer Science Department Text: Intermediate Algebra with Applications and Visuals, Rockswold-Kreiger, 4th edition, Pearson Publishing, 2013 Instructor: Mrs. Bonnie Showvaker Meeting Room: on-line Class Hours: Sign-in at least twice weekly Office hours: e-mail [email protected] Phone#: 359-4273 or 476-1795 E-mail: [email protected] Calculators: Any scientific calculator with fraction key (a b/c) can be used or if taking higher level math classes, a TI-83/84 graphing calculator is recommended *Please note: Under extenuating circumstances, the instructor has the right to change any course provision or requirements during the course. Refund dates are listed at the following link • http://www.hacc.edu/NewStudents/RegisterOnlineGuide/Add-Drop-Deadlines.cfm How to get technical help: Desire2Learn at& 1-877-325-7778 or email [email protected] Any issues logging into or accessing the portal BEFORE gaining access to Desire2Learn Note: If you are able to access Desire2Learn, then please use the Desire2Learn resources above How to get access help: HACC IT Support Center (717) 780-2570; On-Campus Ext. 4357 (HELP) Fall/Spring Semesters: Mon.-Thurs. 8am-8pm, Fri. 8am-5pm Summer Semesters: Mon.-Thurs. 8am-8pm, Fri. Closed [email protected] for any unresolved technical issues within Desire2Learn or questions about how to use a particular tool or questions when a tool may not be working as expected I. Course Description: Designed to augment the knowledge of the student who has limited background in algebra: fundamental operations, special products and factors, functions and fractional equations, exponents, radicals, quadratic equations. Prerequisite: Placement through the College Testing and Placement Program or completion of MATH 020 with a grade of C or higher. A course fee is required. II. Course Goals and Objectives: Upon successful completion of the course, the student will be able to: • Perform the operations of multiplication, and synthetic division on polynomials • Simplify and perform the operations of addition, subtraction, multiplication, and division on rational expressions, radical expressions and complex numbers • Factor polynomials by substitution and multi-step techniques • Solve each of the following: absolute value equations and absolute value inequalities, quadratic equations, rational equations, systems of linear equations in three unknowns, and radical equations • Use the laws of exponents to simplify expressions containing rational exponents • Translate real life applications into mathematical equations, formulate problem solving strategies, and interpret the solutions • Graph solution sets for linear and non-linear functions in two unknowns and identify domain and range of the functions • Determine whether a relation is a function, evaluate functions, and use function notation III. Course Policies: A. Attendance / Participation / Testing Procedures: Attendance and participation are important. Please make all efforts to keep up with the class materials and to participate in all the Discussion Boards. At least TWO weekly sign-ins are expected for each week that the Spring classes are in session. Any student who does not sign into D2L or MyMathLab for 2 weeks can be dropped from the course. Any student, who does not take a test and does not make arrangements to take the test with the teacher within a week, will receive a zero for the test. You may need to call for an appointment for testing and there are different operational hours for each campus, so become familiar with your testing centers procedures. (http://www.hacc.edu/Students/TestCenter/TestingforOnlineStudents/Paper-Testing-for-OnlineStudents.cfm) Also, bring an id with you to the testing center. No grade of “I”, incomplete, will be given unless extenuating circumstances like, extended sickness or family emergency should arise. (Teacher discretion is in effect). Otherwise, all incompletes assignments or missing tests will turn to zeros after the due date. The Math and Science Department policy will be followed. Recognizing that regular attendance is essential to success in any course, the professor shall have the right to recommend to the Division Dean that a student be dropped from class for excessive absence and assign a grade of “W” or “F B. Homework: A homework assignment is given on a unit basis. Homework is graded! Therefore, I feel it is important to have each math assignment completed on time. The assignments will be due before each test for the chapters that are being tested. Homework assignments can be adjusted, if instructor feels the need to alter an assignment. Follow the D2L and MyMathLab due dates for HW, quizzes, and tests. C. Grading: Test will be given according to the syllabus calendar. There will be 50 points for Discussion Boards (5 points for each Discussion Board.) There will be three TESTS, eight computer HOMEWORK grades, three Cumulative HOMEWORK, three QUIZ grades, and one FINAL EXAM during the semester. The Final Exam will be comprehensive covering all semesters work. (Total Points =860: Discussion Board @ 50 (6%); Tests 3 @100 for 300 points (35%); Computer Chapter Homework 8@ total of 160 pts (19%); Computer Cumulative HW @ 60 pts (7%); Quiz 3 @ 30 for 90 points (11%); one Final @ 200 (23%) MyMathLab is at least 10% of grade. (41%) I (incomplete) grade shows that coursework is incomplete and must be completed within eight weeks from the date of the Final Exam. The Y (work in progress) grade is restricted to developmental level courses. In order to be granted a Y grade the student must: complete the course including the Final Exam, complete the Y grade form, re-enroll in the course no later than the next regular term in which the course is offered. If the student has not completed the course by the end of the next regular term, the Y grade will be counted as an F grade. The W (withdrawal) grade will be granted by the instructor upon request of the student from the end of the refund period until the midpoint of the course. From the midpoint of the course through the conclusion of the course the student will receive a grade of W or F, depending upon the instructor’s assessment of the student’s performance. D. Grading System: Course grades will be determined by total points earned on tests. A= 90%-100% B= 80%-89% C= 70%-79% D = 60%-69% F= less than 60% H.A.C.C. Grading system Grade A B C D YD F IF YF W I Y S E. Grade definition Superior Good Average Passing Work in Progress, converted to a D Failure Incomplete Work, not completed Work in Progress, not repeated Withdrawn Incomplete Work in Progress Audit, no credit Points per credit 4.0 3.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Teacher Availability I am the student’s primary resource for the math curriculum. If a problem or difficulty should arise, I should be the first resource accessed. Therefore, I try to establish a secure relationship with my students, so they can feel safe, secure, and unafraid to ask for help. Please come to me, if extra help is needed or if there are any problems. If problems or difficulties are caught early, then they can usually be fixed quickly and the student can continue feeling confident in his or her math abilities. I can assist students through e-mail at [email protected] or by hitting ask teacher button in MyMathLab. If a problem should arise that you feel I need to be aware of, please do not hesitate to contact me. I am also available by E-mail, ([email protected]). Instructor's Response to Questions: All personal questions (i.e. about grades, illnesses, etc.) should be sent to the instructor using Desire2Learn's email system. All emails within Desire2Learn will be responded to within 24 hours. All MyMathLab questions should be sent through MyMathLab and will be responded to within 24 hours. F. Supplementary Resources: The Learning Center (Office for Academic Success) is located in the Learning Commons. There are math tutors available free of charge, and no appointment is required. See the bulletin board for exact days and times. SMARTHINKING is a live, online, personalized assistance tutorial and is available 24-7. Detailed information is available in D2L Your textbook includes information on MyMathLab. MyMathLab includes lessons, exercises, quizzes, and a multimedia textbook to use independently to improve understanding and provide additional practice. G. Suggestions: 1. Check in at least twice a week and prepared to study math. Take good notes and ask questions about any explanation that isn’t clear or any problem you cannot solve on your own. Use the Youtube lessons, skeleton notes, and MyMathLab resources. Get together with a study group or use the Discussion Board to hash out any problems that seem to be taking a long time to solve. Compare the way that each student solves the same problem. 2. Take advantage of the Learning Center (OAS) and other available supplements. 3. Do the Chapter Review/Chapter Test problems at the end of each chapter. These are located in the Ebook on MyMathLab or do the optional assignments in MyMathLab. They will be good practice problems for the written tests. Practice with the Review tests that are provided by the teacher, located on D2L under Review Module for each test. 4. Academic honesty is expected on all graded work. If dishonesty is discovered, a zero will be assigned. 5. If you need to withdraw from this course, make the withdrawal official by contacting the Campus Office and Me. Students who withdraw before midterm will receive a W. After the midterm has passed, either a W or F will be awarded at the discretion of the professor. 6. I sincerely wish each of you success in attaining your educational goals. STUDENTS IN NEED OF ACCOMMODATIONS: Students with disabilities who are in need of accommodations should contact the campus disability coordinator listed below. Coordinators for each campus are listed here: http://www.hacc.edu/Students/DisabilityServices/Contact-Disability-Services.cfm EEOC POLICY 005: It is the policy of Harrisburg Area Community College, in full accordance with the law, not to discriminate in employment, student admissions, and student services on the basis of race, color, religion, age, political affiliation or belief, gender, national origin, ancestry, disability, place of birth, General Education Development Certification (GED), marital status, sexual orientation, gender identity or expression, veteran status, genetic history/information, or any legally protected classification. HACC recognizes its responsibility to promote the principles of equal opportunity for employment, student admissions, and student services taking active steps to recruit minorities and women. The Pennsylvania Human Relations Act (“PHRAct’) prohibits discrimination against prospective and current students because of race, color, sex, religious creed, ancestry, national origin, handicap or disability, record of a handicap or disability, perceived handicap or disability, relationship or association with an individual with a handicap or disability, use of a guide or support animal, and/or handling or training of support or guide animals. The Pennsylvania Fair Educational Opportunities Act (“PFEOAct”) prohibits discrimination against prospective and current students because of race, religion, color, ancestry, national origin, sex, handicap or disability, record of a handicap or disability, perceived handicap or disability, and a relationship or association with an individual with a handicap or disability. Information about these laws may be obtained by visiting the Pennsylvania Human Relations Commission website at www.phrc.state.pa.us. HACC—Lebanon Campus and Virtual Learning Deborah Bybee Coordinator, Disability Services 104R 735 Cumberland Street Lebanon, PA 17042 Phone: 717-270-6333 Email: [email protected] Math 051 Intermediate Algebra** LESSON 1 DATE 1/20 thru 2/19 SECTION TOPIC Assignment Computer HW 1-3 opens on MyMathLab ****Cum #1 opens on MyMathLab Discussion Board Intro open from 1/20 to 1/26 Discussion Board Chapter 1 open from 1/26 to 2/2 Discussion Board Chapter 2 open from 2/2 to 2/9 Discussion Board Chapter 3 open from 2/9 to 2/16 1.1 Describing Data with Sets of Numbers 1.2 Operations with real numbers 1.3 Integer Exponents 1.4 Variables, Equations, and Formulas 1.5 Introduction to Graphing 2.1 Functions and Their Representations 2.2 Linear Functions 2.3 The slope of A Line 2.4 Equations of a Line and Linear Models 3.1 Linear Equations 3.2 Introduction to Problem Solving 3.3 Linear Inequalities 3.4 Compound Inequalities 3.5 Absolute Value Equations and Inequalities Ch. 1-3 Review Quiz # 1 due February 19, 2015 MyMathLab Computer HW #1 and #2 and #3 February 16, 2015 ****Cum HW#1 on Chapters 1-3 on MyMathLab due February 23, 2015 ____________________________________________________________________________________ 2/18 thru 2/19 TEST CHAP 1 – 3 on campus check times ----------------------------------------------------------------------------------2 2/19 thru 4/2 Computer HW # 4-6 opens on MyMathLab ****Cum # 2 and #3 open on MyMathLab Discussion Board Chapter 4 open from 2/23 to 3/9 Discussion Board Chapter 5 open from 3/9 to 3/23 Discussion Board Chapter 6 open from 3/23 to 3/30 4.1 Systems of Equations with 2 variables 4.2 Substitution and Elimination 4.5 Systems of equations with 3 variables 5.1 Adding and subtracting Polynomials 5.2 Multiplying Polynomials 5.3 Factoring Polynomials 5.4 Factoring Trinomials 5.5 Factoring special products 5.6 Summarizing Factoring 5.7 Polynomial equations 6.1 Introduction of Rational Functions and Equations 6.2 Multiplying and dividing rational expressions 6.3 Adding and subtracting rational expressions 6.4 Rational equations 6.5 Complex rational expressions 6.6 Models involving rational expressions 6.7 Division of Polynomials Ch. 4-6 Review Quiz #2 open from March 26 thru April 2, 2015 MyMathLab HW #4, #5, and #6 due March 31, 2015 MyMathLab Cum HW #2 on chapters 1, 3, 5, & 6 on MyMathLab due Saturday, April 4, 2015 4/1 thru 4/2 TEST CHAPTER 4-6 on campus check times 3 4/2 thru 4/26 Computer HW # 7 – 8 opens on MyMathLab Discussion Board Chapter 7 opens 4/2 to 4/13 Discussion Board Chapter 8 opens 4/13 to 4/27 Discussion Board Closure 9 opens 4/27 to 5/7 7.1 Radical Expressions and Functions 7.2 Rational Exponents 7.3 Simplifying radicals 7.4 Operations with radicals 7.5 More Radical Functions 7.6 Equations Involving Radical Expressions 7.7 Complex numbers 8.1 Quadratic Functions and Their Graphs 8.2 Parabolas and Modeling 8.3 Quadratic Equation 8.4 The Quadratic Formula 8.5 Quadratic Inequalities 8.6 Equations in Quadratic Form Ch. 5-6 Review Quiz # 3 due April 26, 2015 on MyMathLab Computer HW #7 and #8 due April 25, 2015 ****Cum HW#3 on Chapters 3, 5-8 on MyMathLab due, May 6, 2015 April 27-29, 2015 …TEST CHAPTER 7 and 8 taken on MyMathLab. This is a timed test of 150 minutes. When you are finished taking this test and you submit it, print it out to help you study for the final. April 29 thru May 6, 2015 Review for Final Use all the tests that you have taken so far. The majority of the questions will be taken directly from those Unit tests. There are a few mandatory questions for all Math051 students that will be included, but the topics have been covered and tested. You can use optional cum # 4 on MyMathLab to review for the test, if you desire. ---------------------------------------------------------------------------May 6-7, 2015 TEST FINAL on campus check times ----------------------------------------------------------------------------------**Syllabus/schedule is subject to change. All changes will be announced in class or delivered through HACC mail Formula Sheet Cannot be used on Written Test Formula Sheet Distance Formula: √((x 2 – x 1 )² +( y 2 - y 1 )²) To find slope when equation is in standard form m = -a b Midpoint Formula: (x 2 + x 1 ) , (y 2 + y 1 ) 2 2 Slope Formula: (y 2 - y 1 ) rise or run ( x 2 – x 1) Point- slope Formula: y - y 1 = m (x - x 1 ) Vertex of a parabola (-b/2a, plug x-coor in to find y) Slope- intercept Formula: y = mx + b imaginary # √-1 = i i² = -1 i 3 = -i i4 = 1 Standard Formula: Ax + By = C Quadratic Formula: (- b ± √(( b)² - 4 a c )) (2 a) Pythagorean Theorem a² + b² = c² completing a square: ax2 – bx + c = 0 ax2 – bx = -c step 1 *(x – b/2)2 = -c + (b/2)2 step 2 simplify and solve step 4 *Can be (x + b/2)2 if starting with ax2 + bx + c = 0 Simple Interest I = PRT Compound interest A = P ( 1+ r/n) ^(nt) Continuous interest A = P e ^ (rt) Distance formula d = rt or r= d/t or t=d/r Temperature C = 5/9(F - 32) or F = 9/5C + 32 graphing form of a parabola f(x) = a(x – h)2 + k (h,k) is vertex Percent Problem is = % of 100 3 3 2 2 Sum of cubes a + b = (a + b) (a – ab + b ) Difference of cubes a3 - b3 = (a - b) (a2 + ab + b2) graphing form of a circle: (x – h)2 + (y – k)2 = r2 (h,k) is center of circle % of increase of decrease Largest amount – Smaller amount = % Starting amount 100 Area of a rectangle A = lw Area of a square A = s² Area of a triangle A = ½ bh Area of a trapezoid A = ½ (b 1 + b 2 ) h Area of a circle A = חr² Circumference of a circle C = 2 חr Perimeter of a rectangle P = 2l + 2w or add all sides Perimeter of a square P = 4s or add all sides Perimeter of all other polygons P = add all sides Volume and surface area of a rectangular prism V = lwh SA = 2lw + 2lh + 2wh Volume and surface area of a cube V = s³ SA = 6 s² Volume and surface area of s sphere V = 4/3 חr³ SA = 4 חr² Volume and surface area of a cylinder V = חr² h SA = 2 חr h + 2 חr² Volume and surface area of a cone V = 1/3 חr² h SA = חr √(r² + h²) + חr² Volume and surface area of a square pyramid V = 1/3 s² h SA = B + ½ pl Spring 2015 at a Glance January 2015 ___Computer HW 1-3 opens on MyMathLab opens 1/20 ___Cum #1 opens on MyMathLab opens 1/20 ___Discussion Board Intro open from 1/20 to 1/26 ___Discussion Board Chapter 1 open from 1/26 to 2/2 ___Discussion Board Chapter 2 open from 2/2 to 2/9 ___Discussion Board Chapter 3 open from 2/9 to 2/16 -------------------------------------------------------------------------------------------------------------- February 2015 ___Quiz # 1 open from 2/12-19, 2015 MyMathLab ___Computer HW #1, #2, and #3 on MyMathLab closes 2/ 16 ___Cum HW#1 on Chapters 1-3 on MyMathLab closes 2/23 ___ Do review test on D2L before going to take test ___TEST CHAPTER 1 – 3 ON CAMPUS check times 2/ 18 thru 19 ___Computer HW # 4-6 opens on MyMathLab opens 2/19 ___Cum #2 and #3 on MyMathLab opens 2/19 ___Discussion Board Chapter 4 open from 2/23 to 3/9 ----------------------------------------------------------------------------------------------------------------- March 2015 __Discussion Board Chapter 5 open from 3/9 to 3/23 ___Discussion Board Chapter 6 open from 3/23 to 3/30 ___Quiz #2 open from 3/26 thru 4/2 MyMathLab ___HW #4, #5, and #6 closes 3/31 MyMathLab -------------------------------------------------------------------------------------------------------------- April 2015 ___Cum HW #2 on chapters 1, 3, 5, & 6 on MyMathLab due 4/4 ___ Do review test on D2L before going to take test ___TEST CHAPTER 4-6…ON CAMPUS...check times April 1 thru 2 ___Computer HW 7 and 8 opens 4/2 ___Discussion Board Chapter 7 open from 4/2 to 4/13 ___Discussion Board Chapter 8 open from 4/13 to 4/27 ___Discussion Board Closure 9 open from 4/27 to 5/7 ___Quiz #3 open from 4/19 thru 4/26 on MyMathLab ___Computer HW #7 and #8 closes 4/25 on MyMathLab ___ Do review test on D2L before taking test ___TEST CHAPTER 7 and 8 taken on MyMathLab…4/27 thru 29 May 2015 ___Cumulative HW#3 on Chapters 3, 5-8 on MyMathLab due 5/6 __Review for Final 4/29 thru 5/6 use All Ch. Tests and optional Cum #4 ___FINAL ON CAMPUS…check times May 6 thru 7 --------------------------------------------------------------------------------------------------------------
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