BAKERSFIELD COLLEGE Intermediate Algebra Math B70 CRN 71945 FALL 2015 Instructor : Ms. Sabol Class Hours : MW 11:10 AM 1:40 PM Classroom : Fresno Pacific University, 203 Text : Elementary & Intermediate Algebra Concepts & Applications, 6th edition, by Bittinger, Ellenbogen and Johnson : We will cover chapters 7 through 13 in the text. Office Location/Hours : FPU Lounge : MW 10:30AM 11:00 AM MW 1:50 PM 2:30 PM DST - 117 : TTH 1:30 PM 2:30 PM DST - 1105 : TTH 5:15 PM 5:45 PM Email : caroline.sabol@bakersfieldcollege.edu Telephone : Prerequisites : MATH B60 or equivalent elementary algebra course with a grade of C or better or qualifying score on placement assessment. Course Organization : You are expected to read through the indicated sections before each class meeting. This will allow you to get the maximum benefit from class discussions. Course Description : Topics for the course are functions and operations on functions; system of linear equations, linear, and absolute value inequalities; linear, absolute value, and quadratic equations; radicals and operations with radicals; equations involving radicals; exponential and logarithmic equations; and conics.
Student Learning : Upon completion of the course, students will be able to Outcomes 1. Find the domain of a function. 2. Solve a system of linear equations. 3. Solve linear and quadratic inequalities. 4. Simplify, add, multiply, and divide radicals 5. Simplify, add, multiply, and divide complex numbers. 6. Use the quadratic formula to solve quadratic equations. 7. Solve exponential and logarithmic equations. 8. Graph conic sections. Detailed Outline 1. Review: Introduction to algebraic expressions, solving equations and inequalities, graphing, polynomials, factoring and rational expressions. 2. Introduction to functions, domain and range of functions, graphs of functions, algebra of functions, formulas, variation and applications. 3. Solving systems of linear equations with two variables, with three variables. 4. Solving inequalities, domain of inequalities, union and intersection, absolute value equations and inequalities inequalities in two variables. 5. Exponents and radicals: radical expressions, rational numbers as exponents, multiplying dividing adding and subtracting radical expressions, solving radical equations, complex numbers distance midpoint and Pythagorean theorem. 6. Quadratic Functions: solving quadratic equations, quadratic formula, solutions of quadratics applications of quadratics, equations reducible to quadratics, graphs of quadratic functions. 7. Exponential and logarithmic functions: inverse and composite functions, exponential functions logarithmic functions, properties of logarithms, common and natural logarithms, solving exponential and logarithmic equations. 8. Conic sections: Parabolas circles ellipses hyperbolas their equations and graphs
Students with : Students with disabilities who believe they may need Disabilities accommodations in this class are encouraged to contact Disabled Student Program & Services located at Student Services Building, 1 st floor, Counseling Center (661-395-4334), as soon as possible to better ensure such accommodations are implemented in a timely fashion. Delano Campus : Students with disabilities who believe they may need accommodations in this class are encouraged to contact Disabled Student Program & Services (661-720-2000), Delano Campus, Room 1001, as soon as possible to better ensure such accommodations are implemented in a timely fashion. FPU Campus : Students with disabilities who believe they may need accommodations in this class are encouraged to contact Disabled Student Program & Services located at Student Services Building, 1 st floor, Counseling Center (661-395-4334), as soon as possible to better ensure such accommodations are implemented in a timely fashion. Attendance : I consider regular and complete attendance crucial to the success in this class, therefore attendance will be taken. Calculators : Calculators are not allowed for Weekly Assessments. : Calculators may be used for the exams. : Cell phones cannot be used as a calculator. Pencils : All submitted course work will be done in pencil, if course work is not received in pencil it will be given a zero. Class Disruptions : Electronic Devices need to be turned off before class begins. : Sleeping in class, doing homework in class or partaking in other non-math activities will not be tolerated. : All Class Disruptions can result in a zero for the WA. Homework : Homework will be assigned from each section. : Homework will be helpful for weekly assessments. Cheating in Class : Students who are caught cheating will not receive credit for the course and will be turned over to judicial affairs.
Weekly Assessments : Weekly Assessments will be worth 10 points. : There will be 16 WA s and the lowest one will be dropped : The WA s will be kept chronologically in an 8.5in x 11in examination book (green/blue book), that you will purchase. : Students who disrupt the class can receive a zero for that WA. Quiz/Midterm/Final : All non-test materials will be placed at the front of the classroom during all exams. : A photo ID must be shown to take a quiz / exam. : A cell phone can not be used as a calculator. Quizzes : There will be two quizzes, the dates and points are: September 23, 2015 50 points, and November 18, 2015 50 points Take-Home Exams : The due dates and points for the Take-Home Exams are: October 19, 2015 50 points, and December 2, 2015 50 points. Midterm : There will be one Midterm on October 21, 2015. : The Midterm is worth 100 points. Final Exam : There will be a Final Exam on December 9, 2015. : The Final Exam is worth 100 points. Dropping : If you need to drop the class for any reason, it is entirely your responsibility to do so. If you don't drop the class, you may end up with an 'F' on your transcript. : Last Day to drop without receiving a W 09/06/2015 : Last Day to drop with a W grade 10/30/2015 FERPA : The Family Education Rights and Privacy Act (FERPA) is a federal law that prohibits the instructor from sharing student information (grades, class progress, etc..) with anybody except the student. This means that I cannot share your information with family members (parents, siblings, spouses, etc ). ** The exam and quiz dates are tentative and can be changed by the instructors discretion.
TENATIVE COURSE OUTLINE Date Sections Exams Holiday Aug 24 Aug 28 7.1, 7.2, 7.3 Aug 31 Sept 4 7.4, 7.5, 8.1, 8.2 Sept 7 Sept 11 8.6, 8.7 9/7 Labor Day Sept 14 Sept 18 8.3, 8.4, 8.5 Sept 21 Sept 25 9.1, 9.2 9/23 QUIZ 1 (CH 7-8) Sept 28 Oct 2 9.3, 9.4, 10.1, 10.2 Oct 5 Oct 9 10.3, 10.4, 10.5, 10.6 Oct 12 Oct 16 10.7, 10.8, 11.1 Oct 19 Oct 23 11.2, 11.3 10/21 MIDTERM (CH 7-10) Oct 26 Oct 30 11.4, 11.5, 11.6, 11.7 Nov 2 Nov 6 11.8, 11.9, 12.1, 12.2 Nov 9 Nov 13 12.3, 12.4 11/11 Veterans Day Nov 16 Nov 20 12.5, 12.6 11/18 QUIZ 2 (CH 11) Nov 23 Nov 27 12.7 11/23 Class Canceled 11/26 Thanksgiving 11/27 Thanksgiving Nov 30 Dec 4 13.1, 13.2, 13.3, 13.4 Dec 7 Dec 11 Course Grade : A 100 % -- 90% B 89% -- 80% C 79% -- 70% D 69% -- 60% F 59% -- 0% 12/09 Final (CH 7-13) 10:00AM 11:50AM WA QUIZ1 TH-MT MT QUIZ2 TH-FE FE Total 150 50 50 100 50 50 100 550
NAME: MATH B70 SCORE: / 50 Directions: Due Date: October 19, 2015 @ 11:10 AM Answer the following questions on a separate sheet of fringeless paper. Staple the handout and separate sheets of paper together. Work must be complete, labeled and in pencil for credit. 1. (7 points) Given the graph (A) Find (f g) (-2) (B) Find (g f) (0) (C) Find (f/g)(1) (D) Find x if g(x) = -1 (E) Find x if f(x) = 0 (F) Find the domain of f(x) (G) Find the range of g(x) 2. (4 points) The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed, r. Once the brakes are applied, a car traveling 60mph can stop in 138 ft. What stopping distance corresponds to a speed of 40mph?
3. (20 points) Given the five problems below, solve one by addition, substitution, graphing, Matrix and Cramer s Method. State which method you used for each problem. (A) A motor boat travels 137.5 miles upstream in 12.5hours. The next day it travels downstream to the starting point in 5.5 hours. What is the speed of the boat, and of the current? (B) (C) x y +5z=-4 3x 2z = 6 4z 2 = 0 (D) a + 2b + 1 = 0 7b 4c = 7 4a + 3c = -12 (E) 4. (4 points) Solve the inequality and write answer in set-builder notation 1 4 x 3-3 5. (5 points) Holly Lam's grades on her first four exams are 85, 92, 72, and 75. An average greater than or equal to 80 and less than 90 will result in a final grade of B. What range of grades on Holly's fifth and last exam will result in a final grade of B? Assume a maximum grade of 100. 6. (5 points) Solve the radical equation 2x 3 x 2 2 7. (5 points) Given the points/vertices ( 2, 3), ( 2, 5), and (0, 3). Determine if the vertices form a right triangle.
NAME: MATH B70 SCORE: / 50 Directions: Due Date: December 2, 2015 @ 11:10 AM Answer the following questions on a separate sheet of fringeless paper. Staple the handout and separate sheets of paper together, in order. Work must be complete and in pencil, if I cannot read it, I will not grade it. 1. (4 points) Given the functions f x 1 x 3 and g(x)= find the domain for (f g)(x) and (g f)(x). 2. (9 points) Answer the following three problems using Addition, Graphing, or Substitution Method. Each method will be used once, and indicate which method you used. (a) (b) (c) The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended? 3. (3 points) Solve the system of linear equations by Cramer's Method 4. (3 points) Solve the system of linear equations by Matrix Method
5. (5 points) A regulation baseball diamond is a square with 90 feet between bases. How far is second base from home plate? 6. (6 points) Given the graph below find the equation 7. (6 points) Solve the inequality and state the answer in interval notation 4x 5 3 x 2. 3 2 8. (5 points) Solve for x, given x 5x 4x 20 3 log x 2 log 2 2 9. (4 points) Find the inverse of the exponential equation f(x) = 6 (x+2) - 4 10. (5 points) Graph the conic equation x² 9y²+ 13x 67y 94 = 0 and define the type.
Weekly Assessment #1 On August 24, 2015 I, (print name), read the Math B70 syllabus for section 71945. To receive full credit in the course I understand that I must comply with all parts. Lastly, to get Ms. Sabol acquainted with you please answer the following questions. 1. What are my feelings about math? 2. What was the last math course you took, and when was it? 3. Do you have a favorite hobby? If so what is it? 4. What do you think will be your favorite course this semester? 5. Share with me something about yourself. Signature : Date :