Frederick Community College Course Syllabus MA: 111-2 Pre-Calculus FALL 2016 Class Begins: Aug. 22nd , 2016 Class Ends: Dec. 8th , 2016 Last Day to Withdraw: NOV. 1st , 2016 Instructor Information Instructor: LARRY D. STANDIFER Office: E-mail:lstandifer@frederick.edu *best way to contact *Phone Number: 240-397-8269 *voice mail only Office Hours: Campus Mail Box Number: 882 Course Information: Class Days and Times – Mon / Wed 3:00 – 4:40 Room B103 Course: MA 111-1, Precalculus Credits: 4 Prerequisites: MA 82 or Placement Co-requisites: n/a Course Description: Includes topics from college algebra and trigonometry with a graphing approach such as right triangle trigonometry, circular trigonometric functions, inverse trigonometric functions, exponential functions, power functions, logarithmic functions, polynomial functions and their zeros, polar coordinates, and vectors. Core Learning Outcomes: 1. Demonstrate college-level communication skills. Produce effective and appropriate oral, written and visual information for a specific subject, discipline, purpose, audience, and context. Interpret and synthesize information from oral, written and visual texts. 2. Demonstrate critical-thinking skills. Analyze information from various sources. Recognize and develop alternative perspectives or solutions 3. Understand, interpret and apply academic, professional, and civic ethics. Define and analyze ethical issues within specific academic, professional and personal contexts. Identify and follow commonly accepted ethical standards in academic, professional and civic contexts. 4. Demonstrate quantitative problem solving. Interpret and analyze verbal, graphical, numerical, and symbolic representations of mathematics. Work collaboratively or individually to solve problems effectively and efficiently using mathematical tools that appropriately model the situation. Generate alternative representations of numerical data and analytical concepts. 5. Demonstrate technological competence. Demonstrate effective and appropriate uses of technology in academic, professional and personal contexts. Use technology appropriate for a specific discipline or program of study. Analyze the roles of technology in society. Instructional Method: Each class will be composed of lecture time and active learning work. It will be imperative that you read the text. You will have weekly online homework assignments. While working through the assignment, it will be very beneficial for you to use the resources in MyMathLab. Text for Course: Algebra and Trigonometry, 10th Ed, Sullivan (Optional) MYMATHLAB access kit required; (Course ID: standifer66896 ) TI-83/84 graphing calculator required Progress Report: Students will receive some form of written assessment of their progress with each graded assignment and through BlackBoard. Evaluation Method: You will have weekly homework assignments for grade and a unit test as indicated on the semester plan. As a student enrolled in this course, it is your responsibility to ensure that you are prepared for lecture topics, and are aware of important dates, assignments, exams, guest lectures and/or field trips. It is not the instructor’s responsibility to remind you. Make-up tests will be offered only in the case of an unavoidable emergency. Documentation must be provided and it is at the discretion of the instructor to determine if the absence is indeed an unavoidable emergency. *Missed quizzes will never be made up. Assessment Method: A: ≥ 90% B: ≥ 80% C: ≥ 70% Evaluation Type D: ≥ 60% F: < 60% Points Available Percent of Grade 1.) Active Learning (attendance counts) 100 pts 5% 2.) 30 pts 10% 100 pts 100 pts 100 pts 150 pts 15% 15% 15% 20% 7.) HOMEWORK : www.mymathlab.com Course ID: standifer66896 EXAM #1 EXAM #2 EXAM #3 Final Exam (cumulative final) Final Exam is in 2 parts Quizzes (4 @ 25 points each ) 100 pts 10% 8.) Group Project – “Ferris Wheel”?????? 70 pts *Due 11/2 10% 3.) 4.) 5.) 6.) 2 Time Commitment for Academic Success: At Frederick Community College, in all credit courses, students are expected to invest a minimum of two hours completing out-of-class course work for every hour of in-class instructional time. A 15-week, 3-credit course requires a minimum of 37.5 hours of instructional time and 75 hours of outside course work. Students should expect to invest an average minimum of 5 hours per week preparing for the course and completing assignments. Codes of Academic Integrity and Student Conduct: Students are required to uphold the Code of Academic Integrity and the Code of Student Conduct. Students who violate either of these codes may receive a failing grade in the class. Information about these codes and other student policies, procedures, and penalties is available on the Student Policy and Procedures web page at http://www.frederick.edu/currentstudents/required-communications/student-policies-procedures.aspx. Student Services: A variety of services are available to assist students in succeeding at FCC. Students can learn more about these services by visiting the Student Services web page: http://www.frederick.edu/student-resources.aspx Students with disabilities who are in need of accommodations or who have questions related to disabilities services should contact the Services for Students with Disabilities (SSD) office at 301-846-2408. Students can learn more about these services by visiting the Services for Students with Disabilities web page: http://www.frederick.edu/student-resources/services-forstudents-with-disabilities.aspx Participation Policy: “Active Learning” You will receive no participation points in this class. That being said, it is imperative that you participate in class discussions. Otherwise, success is very unlikely. Email Communication: All students will receive and be expected to use their FCC email address for their correspondence with faculty and staff at the college. Students can establish and access their FCC email accounts at the login page: https://myfcc.frederick.edu. Topical Outline: Every effort will be made to keep to this schedule; however, the instructor reserves the right to alter or amend it as necessary. Additional dates, as published in the academic schedule of classes and listed below, may be required as make-up days for inclement weather. 3 Precalculus Topical Course Outline Class Week Class Topic Homework The Last Day to Withdraw from this Course is NOV. 1st , 2016. During inclement weather closing, you will still be responsible to homework assignments posted on MyMathLab and BlackBoard. WEEK 1 MON 8/22 (4.1)Linear Functions (4.3) Quadratic Functions www.mymathlab.com #12 www.mymathlab.com #15 WEEK 1 WED 8/24 (5.1) Polynomial Functions and Models www.mymathlab.com #10 [1] Identify polynomial functions and their degrees. [2] Graph polynomial functions. [3] Identify the real zeros of a polynomial and their multiplicity. [4] Analyze the graph of a polynomial function; determine intercepts, maxima, minima, and intervals of increasing and decreasing. WEEK 2 MON 8/29 (5.2) Properties of Rational Functions www.mymathlab.com #13 [5] State the domain and range of a rational function. [6] Find the vertical asymptotes of a rational function and label them the graph. [7] Find the horizontal or oblique asymptotes of a rational function and label them the graph. (5.3) The Graph of Rational Functions www.mymathlab.com #4 [8] Analyze the graph of a rational function: determine intercepts, asymptotes, and intervals of increasing and decreasing [9] Solve applications problems involving rational functions 4 Class Week WEEK 2 WED 8/31 Class Topic (5.5) The Real Zeroes of a Polynomial Function Homework www.mymathlab.com #9 [10] Use the remainder and factor theorems to transform a rational equation into 𝑓(𝑥) = 𝑞(𝑥)𝑔(𝑥) + 𝑟(𝑥). [11] Find the real zeros of a polynomial function graphically and algebraically. [12] Use the Intermediate Value Theorem to find real zeros of a polynomial function. WEEK 3 MON 9/5 WEEK 3 WED 9/7 WEEK 4 MON 9/12 NO CLASS….LABOR DAY….NO CLASS (6.2) Inverse Functions [13] Determine the inverse of a function from its equation. [14] Determine the inverse of a function from its table of values. [15] Determine the inverse of a function from its graph. [16] Obtain the graph of the inverse function from the graph of the function. www.mymathlab.com #10 (6.3) Exponential Functions www.mymathlab.com #4 [17] Evaluate exponential functions in a variety of bases including e. [18] Graph exponential functions in a variety of bases including e. [19] Solve exponential functions in a variety of bases including e. (6.4) Logarithmic Functions www.mymathlab.com #3 [20] Translate exponential equations into logarithmic form and vice versa. [21] Evaluate logarithmic expressions. [22] Solve logarithmic equations in a variety of bases including e. WEEK 4 WED 9/14 (6.5) Properties of Logarithms [23] Rewrite logarithmic expressions using the properties of logarithms. [24] Write a logarithmic expression as a sum or difference of logarithms. [25] Write a logarithmic expression as a single logarithm. [26] Evaluate logarithms in a variety of bases, including 10, e other values. www.mymathlab.com #3 5 Class Week Class Topic WEEK 5 MON 9/19 (6.6) Logarithmic and Exponential Equations WEEK 5 WED 9/21 (6.7) Financial Models www.mymathlab.com #11 [27] Solve logarithmic equations. [28] Solve exponential equations. www.mymathlab.com #2 [29] Solve problems involving compound interest. (6.8) Growth and Decay [30] Find and solve equations of populations that obey the law of uninhibited growth. [31] Find and solve equations of populations that obey the law of decay. [32] Solve problems using Newton’s Law of Cooling. WEEK 6 MON 9/26 QUIZ #1 WEEK 6 WED 9/28 EXAM #1 WEEK 7 MON 10/3 (7.1) Angles and their Measure WEEK 7 WED 10/5 Homework www.mymathlab.com #1 CHAPTER’S 4 – 5 – 6 CHAPTER’S 4 – 5 – 6 HOMEWORK IS DUE [1] Convert angles from degree to radian measure and vice versa. [2] Identify the components of an angle. [3] Determine the arc length of a circle given a central angle. [4] Find the area of a sector of a circle. (7.2) Right Triangle Trigonometry www.mymathlab.com #15 www.mymathlab.com #6 [5] Find the values of the trigonometric functions of acute angles. [6] Determine the missing angles of a right triangle when given three sides. [7] Determine the missing angles and sides of a right triangle when given two sides and an acute angle. [8] Solve applications problems based on right triangle trigonometry. 6 Class Week Class Topic Homework WEEK 8 MON 10/10 *********SPECIAL ANGLES*************** (7.3) Computing the Trig Values of Acute Angles www.mymathlab.com #10 [9] Determine the exact values for sine, cosine and tangent for the 30-60-90 triangle. [10] Determine the exact values for sine, cosine and tangent for the 45-45-90 triangle. [11] Solve application problems based on the 30-60-90 and 45-45-90 triangles. WEEK 8 WED 10/12 (7.4) Trigonometric Functions of any Angle WEEK 9 MON 10/17 (7.5) *Unit Circle (7.6) *Graph of Sine and Cosine (7.7) *Graph of Tangent *Targets to come – memorization! WEEK 9 WED 10/19 www.mymathlab.com #11 [12]Find exact values of trig functions. [13]Use co-terminal angles to find exact values. [14]Determine signs of trig functions. [15]Find/use reference angle of an angle. [16]Find exact value of angle given info of the angle. www.mymathlab.com #10 www.mymathlab.com #17 www.mymathlab.com #8 QUIZ #2 CHAPTER 7.1 – 7.7 HOMEWORK IS DUE EXAM #2 CHAPTER 7.1 – 7.7 *TAKE HOME *DUE MON 10/24 WEEK 10 MON 10/24 WEEK 10 WED 10/26 WEEK 11 MON 10/31 (7.8)**** Phase Shift; Sinusoidal Curve Fitting www.mymathlab.com #3 [1]Graph sinusoidal functions f(x)=asin(bx+c)+d ****Group project assigned: “The Ferris Wheel” *Due WED 11/2 EXAM #2 DUE TODAY (8.1) Inverse Sine, Cosine, and Tangent www.mymathlab.com #11 [2]Find exact value of inverse trig function. [3]Find approximate value of inverse trig function. [3]Use properties of inverse trig functions. [4]Find inverse function of a trig function. [5]Solve equations with inverse trig functions. (8.3) Trigonometric Equations www.mymathlab.com #14 [6]Solve Trig equations algebraically/graphically. 7 Class Week WEEK 11 WED 11/2 Class Topic (9.1) Applications Involving Right Triangles Homework www.mymathlab.com #10 [7] Solve right triangles. [8] Solve applied problems that involve right triangle trigonometry *Ferris Wheel Projects Due WEEK 12 MON 11/7 (9.2) Law of Sines www.mymathlab.com #7 [9]Solve SAA or ASA triangles. [10]Solve SSA triangles [11]Solve applied problems. (9.3) Law of Cosines [12]Solve SAS triangles. [13]Solve SSS triangles. [14]Solve applied problems. WEEK 12 WED 11/9 (10.1) Polar Coordinates WEEK 13 MON 11/14 (10.3) Complex Plane; De Moivre’s Theorem WEEK 13 WED 11/16 (10.4) Vectors WEEK 14 MON 11/21 (10.5) Dot Product www.mymathlab.com #4 www.mymathlab.com #10 [15]Plot points using polar coordinates. [16]Convert from polar to rectangular. [17]Convert from rectangular to polar. [18]Transform between polar and rectangular forms. www.mymathlab.com #2 [19]Plot points on the Complex plane. [20]Use De Moivre’s Theorem. www.mymathlab.com #1 [21]Graph vectors. [22]Add/subtract vectors. [23]Determine magnitude of a vector. www.mymathlab.com #7 [24]Find the dot product of two vectors. [25]Find the angle between two vectors. 8 Class Week Class Topic WEEK 14 WED 11/23 NO CLASS….THANKSGIVING….NO CLASS WEEK 15 MON 11/28 QUIZ #3 CHAPTER’S: Homework 8 – 9 – 10 HOMEWORK IS DUE Exam #3 CHAPTER’S 8 – 9 – 10 *TAKE HOME *DUE WED 11/30 WEEK 15 WED 11/30 QUIZ 4 FINAL EXAM REVIEW CHAPTER’S 4 – 10 ****EXAM #3 DUE TODAY WEEK 16 MON 12/5 Cumulative Final Exam……2 parts! WE ARE FINISHED!!!!! PART 1 – NO CALCULATOR SPECIAL ANGLES, INVERSE TRIG, GRAPHS……ETC. HAVE A FUN AND SAFE HOLIDAY! PART 2 - CUMULATIVE CHAPTER’S 4 - 10 WEEK 16 WED 12/7 NO CLASS UNLESS MAKE-UP DAY IF NEEDED The outline presented above is a tentative plan for the semester. Specific topics and assignments are subject to change at the instructor’s discretion. 9