MATH 120-11473 ES ZZ: Quantitative Reasoning Syllabus Fall 2018 Contact Information for Professor Alisa Kadenic-Newman E-mail: akadenic@ccsnh.edu Given that this is an online course, the student is encouraged to contact the instructor by e-mail with questions or concerns. It is a wise policy for the student to check Canvas each day for any new course materials or announcements. Important Dates Class Start Date: August 27, 2018 (Monday) Class End Date: December 14, 2018 (Friday) Last Day to Drop with a Full Refund: September 10, 2018 Last Day to Withdraw with a W Grade: November 1, 2018 Course Description This course is designed to expose the student to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include: number theory and systems; functions and modeling; finance; geometry; measurement; probability; statistics; selected subtopics related to the student s major field of study. (Prerequisite: MATH 092C with a grade of C or higher or the high school equivalent with a grade of C or higher.) [Note: Students who have received credit for MATH 120C may not also receive credit for MATH 120XC.]. Course Format This course will consist of PowerPoint lectures (prepared by the instructor and posted on Canvas), video lectures (prepared by the textbook authors and available on MyLab Math), textbook reading (hardcover textbook or ebook), and online homework and tests. All course work is completed online in Canvas and the Pearson MyLab Math web site. Course Material REQUIRED: A computing device with access to the Internet REQUIRED: Student Access Kit for MyLab Math. ISBN: 9780134705095 REQUIRED: TI 84(+) graphing calculator OPTIONAL: Thinking Mathematically 7/e; Blitzer; Pearson/Addison-Wesley, 2019. ISBN: 9780134683713 Students are expected to enroll in MyLab Math via the NHTI Canvas website with permanent (not temporary) access by no later than September 10, 2018 (which is the last day to drop the course for a full refund). Students who fail to meet this deadline will be dropped from the course with an AF grade. The very first time a student clicks on the MyLab Math button in the NHTI Canvas course, a prompt to redeem an access code may be displayed. The access code may be purchased at the NHTI Bookstore or can be purchased directly within the application using a credit card or PayPal. Students are responsible for contacting Pearson Technical Support to resolve any problems with creating or logging in to their accounts. Students may also visit the NHTI ACE, located in the Library building, for assistance. Temporary access for 14 days is available for those students awaiting financial aid. Be sure to follow the instructions for making a temporary account permanent on or before the enrollment deadline. Maintaining access to the MyLab Math web site is the student s responsibility. If a student enrolls using temporary access, the student is expected to convert to permanent access before the temporary access expires. Assignments from duplicate accounts cannot be merged and, therefore, will not be accepted! A student who shows no activity in MyLab Math during any consecutive two weeks without notifying the instructor may be dropped from the course with a grade of AF. Alisa Kadenic-Newman, Fall 2018 Page 1 of 6
Attendance Policy and Missed Work Logging into an online class is not sufficient, by itself, to demonstrate academic attendance by the student. Participation is indicated by the student s activity in the MyLab Math web site, which automatically tracks the time spent on each assignment and test. Attendance can also be demonstrated by engagement in an academically related activity, such as initiating contact with the instructor to ask a course-related question. A student who has only logged into the online class, and has not demonstrated any engagement toward course outcome-specific assignments, or course-content specific discussion participation, will be identified as Never Attended on the official attendance roster (at the end of the second week of the course). A student who has not completed any assignments for any consecutive two-week period without contacting the instructor is subject to termination from the course with a grade of AF. All course work must be completed by December 14, 2018. Student E-mail To communicate with individual students or with the class as a whole, the instructor will use the CCSNH Student E-mail system and Canvas. Students are expected to maintain an active registration in MyLab Math using a valid CCSNH Student E-mail address. Students are expected to regularly check Canvas and their CCSNH Student E-mail account for messages from the instructor. Online Homework All homework assignments for this course are to be completed online via MyLab Math. At the start of the session, all homework assignments are available to students. No limits are placed on the number of attempts or time to complete problems. Each assignment is to be completed by the due date specified in MyLab Math. Students will have to complete all homework assignments for a specific chapter before taking the chapter exam. Homework assignments marked Past Due will receive a score of 0 to more accurately reflect academic standing. Students are able to continue working on past-due homework assignments any assignments submitted after the due date will receive 50% penalty. NOTE: No additional assignments other than weekly participation, homework and exams will be offered for credit. Students may use the Study Plan, Quiz Me feature, and Sample Tests in MyLab Math for additional practice; these exercises are not included in the student s Overall Score but do appear in the instructor s online gradebook (as evidence of the student s extra effort). Exams Student mastery of the course material will be assessed through exams. These exams are taken online. Exam dates are of the utmost priority; students are expected to take each exam on the scheduled date. The exam schedule is shown in Course Schedule on page 3. A missed exam can be considered for make-up only if the instructor has been notified prior to the scheduled exam time that the student cannot take the exam as scheduled. The student is not guaranteed a make-up exam; individual circumstances will dictate whether or not a make-up will be allowed. A make-up exam must be taken within one week of the original exam date. Grading Policy Grades will be computed according to the following weighting scheme, and maintained on Canvas throughout the semester. Students are encouraged to check their Grades in Canvas and report any discrepancy to the instructor as soon as possible. Mid-term and final grades are determined according to the chart on the right. Weighting Scheme Participation 5% Homework 20% Exams 60% Final Exam 15% Academic Honesty Honesty is expected of all students, as discussed in Academic Affairs Notices (which is posted in the Syllabus & AA Notices area on Canvas). Academic honesty is taken very seriously by the faculty and administration at NHTI. Penalties for infractions can range from a 0 score to dismissal from the college. For further clarification, see the Student Handbook. Academic Affairs Notices B+ 87-89 C+ 77-79 D+ 67-69 A 93-100 B 83-86 C 73-76 D 63-66 F < 60 A- 90-92 B- 80-82 C- 70-72 D- 60-62 Academic Affairs Notices (posted in the Syllabus & AA Notices area on Canvas) describe policies and services available to students through various college offices and departments. Students are expected to review these notices and contact the instructor or Math Department Head with any questions or concerns. Alisa Kadenic-Newman, Fall 2018 Page 2 of 6
MATH 120C Quantitative Reasoning Course Schedule Week From To Section Topics Introductions & Overview, Intro Discussion, Syllabus Quiz 1.2, 1.3 Week 1 8/27/18 9/3/18 HW: Estimation, Graphs, and Mathematical Models, Problem Solving Week 2 9/3/18 9/10/18 5.1, 5.2, 5.3, 5.6, HW: Prime and Composite Numbers, Integers; Rational Numbers, Exponents and Scientific Notation Week 3 9/10/18 9/17/18 Week 4 9/17/18 9/24/18 Week 5 9/24/18 10/1/18 Week 6 10/1/18 10/8/18 Week 7 10/8/18 10/15/18 Week 8 10/15/18 10/22/18 Week 9 10/22/18 10/29/18 Week 10 10/29/18 11/5/18 Week 11 11/5/18 11/12/18 Week 12 11/12/18 11/19/18 Week 13 11/19/18 11/29/18 Week 14 11/29/18 12/3/18 Week 15 12/3/18 12/10/18 Week 16 12/10/18 12/14/18 6.1, 6.2, 6.3 7.1, 7.2, 7.3 HW: Algebraic Expressions and Formulas, Linear Equations in One Variable and Proportions; Applications of Linear Equations ; Exam 1: Chapters 5 HW: Graphing and Functions; Linear Functions and Their Graphs, Systems of Linear Equations in Two Variables ; Exam 2: Chapter 6 8.1 8.3 HW: Percent, Sales Tax, and Discounts; Income Tax; Simple Interest; ; Exam 3: Chapter 7 HW: Compound Interest Annuities, Method of Saving, and Investments; 8.4 8.6 Cars; 8.7 8.8 HW: The Cost of Homeownership; Credit Cards 9.1, 9.2, HW: Measuring Length; The Metric System; Measuring Area and Volume; 9.3 Measuring Weight and Temperature; ; Exam 4: Chapter 8 10.1 10.3 10.4 10.6 11.1 11.3 11.4 11.7 12.1 12.3 12.4 12.6 HW: Points, Lines, Planes, and Angles; Triangles; Polygons, Perimeter, and Tessellations ; Exam 5: Chapter 9 HW: Area and Circumference; Volume and Surface Area; Right Triangle Trigonometry HW: The Fundamental Counting Principle; Permutations; Combinations ; Exam 6: Chapter 10 HW: Fundamentals of Probability; Probability with Counting, Combinations; Events with Not and Or; Odds; Events with And; Conditional Probability HW: Sampling, Frequency Distributions, and Graphs; Measures of Central Tendency; Measures of Dispersion; ; Exam 7: Chapter 11 HW: The Normal Distribution; Normal Distribution Problems; Scatter Plots, Correlation, and Regression Lines Exam 8: Chapter 12 Review for the Final Exam; All coursework due! Any missing homework will be marked as 0. FINAL EXAM (All Chapters) This schedule is subject to reasonable modification by the instructor in response to the needs of the class. Changes will be communicated in a timely manner. Alisa Kadenic-Newman, Fall 2018 Page 3 of 6
MATH 120C QUANTITATIVE REASONING PERFORMANCE OBJECTIVES I. Estimation and Problem Solving a) Use estimation techniques to arrive at an approximate answer to the problem. b) Apply estimation techniques to information given by graphs. c) Develop mathematical models that estimate relationships between variables. d) Use Polya s four-step method to solve word problems. II. Number Theory and the Real Number System a) Determine divisibility by specific numbers. b) Write the prime factorization of a composite number. c) Find the greatest common divisor and least common multiple of two numbers. d) Solve problems using the greatest common divisor and least common multiple. e) Graph rational numbers on a number line. f) Compare rational numbers. g) Find the absolute value. h) Perform operations with real numbers. i) Use the order of operations. j) Reduce rational numbers. k) Convert between mixed numbers and improper fractions. l) Express rational numbers as decimals. m) Solve problems involving the rational numbers. n) Use properties of exponents. o) Convert from scientific notation to decimal notation. p) Convert from decimal notation to scientific notation. q) Perform computations using scientific notation. r) Solve applied problems using scientific notation. III. Algebra: Equations and Inequalities a) Evaluate algebraic expressions. b) Simplify algebraic expressions. c) Solve linear equations. d) Solve proportions. e) Use linear equations to solve problems. f) Solve a formula for a variable. IV. Algebra: Graphs, Functions, and Linear Systems a) Plot points in the rectangular coordinate system. b) Graph equations in the rectangular coordinate system. c) Use function notation. d) Graph functions. e) Use the vertical line test. f) Calculate slope. g) Use the slope and y-intercept to graph a line. h) Graph horizontal or vertical lines. i) Interpret slope as rate of change. j) Use slope and y-intercept to model data. k) Solve linear systems by graphing, substitution, and addition. l) Solve problems using systems of linear equations. Alisa Kadenic-Newman, Fall 2018 Page 4 of 6
V. Consumer Mathematics and Financial Management a) Express a fraction as a percent. b) Express a decimal as a percent. c) Express a percent as a decimal. d) Solve applied problems involving sales tax and discounts. e) Compute income tax. f) Determine percent increase or decrease. g) Calculate simple interest. h) Use the future value formula. i) Use the simple interest formula on discounted loans. j) Use compound interest formulas. k) Calculate present value. l) Understand and compute effective annual yield. m) Determine the value of an annuity. n) Determine regular annuity payments needed to achieve a financial goal. o) Understand stocks and bonds as investments. p) Read stock tables. q) Compute the monthly payment and interest costs for a mortgage. r) Prepare a partial loan amortization schedule. s) Compute payments and interest for other kinds of fixed installment loans. t) Find the interest, the balance due, and the minimum monthly payment for credit card loans. VI. Measurement a) Use dimensional analysis to change units of measurement. b) Convert units within and between the metric and U.S systems. c) Understand temperature scales. VII. Geometry a) Understand points, lines, and planes as the basis of geometry. b) Solve problems involving angle measures. c) Solve problems involving similar triangles. d) Solve problems using the Pythagorean Theorem. e) Solve problems using characteristics of polygons. f) Use area, volume, and surface area formulas. g) Use trigonometric ratios to find missing parts of right triangles and to solve applied problems. VIII. Counting Methods and Probability a) Use the Fundamental Counting Principle. b) Evaluate factorial expressions. c) Solve problems involving combinations and permutations. d) Compute theoretical and empirical probability. e) Compute probabilities with combinations and permutations. f) Find the probability that an event will not occur. g) Find the probability of one event or a second event occurring. h) Understand and use odds. i) Find the probability of one event and a second event occurring. j) Compute conditional probabilities. Alisa Kadenic-Newman, Fall 2018 Page 5 of 6
IX. Statistics a) Organize and present data. b) Determine the mean, median, mode, and midrange for a data set. c) Determine the range and standard deviation for a data set. d) Recognize characteristics of normal distributions. e) Convert a data item to a z-score. f) Use and interpret margins of error. g) Recognize distributions that are not normal. h) Solve applied problems involving normal distributions. i) Interpret information given in a scatter plot. j) Compute the correlation coefficient. k) Write the equation of the regression line. l) Use a sample s correlation coefficient to determine whether there is a correlation in the population. Alisa Kadenic-Newman, Fall 2018 Page 6 of 6