MATH 28 Course Syllabus SPRING Semester, 2017 Instructor: Brian Rodas Class Room and Time: MC 71 MTWTh 8:15am-9:20pm Office Room: MC 35 Office Phone: (310)434-8673 Office Hours: M 11am-12pm, TTh 10am-11am and W 2:30-3:30pm(Math Study Room MC 84B) and by appointment E-mail: rodas brian@smc.edu Class Website: http://homepage.smc.edu/rodas brian Homework Website: http://webassign.net/student.html Text: Barnett/Ziegler/Byleen Applied Calculus for Business, Economics, Life Sciences, and Social Sciences. 11th ed, Prentice Hall,(3rd custom edition for SMC) 2015 Course Description: This INTENSIVE course is intended for students majoring in business or social sciences. It is a survey of differential and integral calculus with business and social science applications. Topics include limits, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance. Format of Course: The first 10 minutes of each class will be devoted to addressing students questions regarding homework or material from the previous section. The remainder of the class will be spent presenting new material. Homework: Homework from the textbook will be assigned daily. The problems assigned are practice problems in understanding the material covered for the day. It has been known that a genuine understanding and completion of the homework results in quality performance. Web Assign: Supplemental homework is downloaded and submitted on line through web-assign. These on line assignments will be graded and must be completed and entered into the web by the due date for credit. Log-in at: http://webassign.net/student.html Quizzes: Quizzes will be given periodically. They will be approximately 10-15 minutes long. It has been my nature to give quiz problems identical to the homework. Therefore it would be in your best interest to do the homework. Each quiz is worth ten points. The two lowest quiz scores will be dropped. Exams: There will be five exams and a final. Each exam is worth 100 points. The lowest exam will be scaled out of 50 points. So if your test scores are 100, 90, 80, 70, and 60, then your test average is (100+90+80+70+30)/450. The final is worth 200 points and is cumulative. You must show all necessary work to receive full credit. Calculators: Certain calculators will be allowed during certain exams. If allowed, you may use a silent battery-operated non-graphing calculator which does not have print out capability, have an alphabetic keyboard, or is a component of a cell phone. Grading: Top four exams Lowest exam Quizzes On line Homework Final exam Total 400 points 50 points 75 points 75 points 200 points 800 points
The expectation is that a letter grade will be given using the following scale for the semester average: 90-100%(A), 80-89%(B), 70-79%(C), 60-69%(D), 0-59%(F). Academic Conduct: You are expected to abide by Santa Monica College s code of academic conduct on all exams, quizzes and homework. Copying homework solutions or quiz or test answers from someone is considered cheating as is altering a quiz or examination after it has been graded or giving answers to someone during an exam or quiz. If caught cheating or using an electronic device during an exam, the parties involved will receive a zero on the exam and an academic dishonesty report will be filed. Also note that cell phones are to be turned off for the duration of each class. Since attendance is essential for normal progress in class, a student is expected to be in class regularly and on time. Missing classes puts you in danger of being dropped. There are no makeup assignments, quizzes or exams. Late assignments will not be accepted. No excuses. Students are responsible for all material and announcements given in class. IT IS THE STU- DENT S RESPONSIBILITY TO BE AWARE OF WITHDRAWAL DATES AND TO TAKE THE APPROPRIATE NECESSARY STEPS. Refer to your Corsair Connect account for specific dates. If a student does not withdraw and stops coming to class, the student will receive a failing grade. Learning Mathematics: Learning mathematics takes time and consistent effort. Attending class regularly, completing all assignments and reading class notes are essential for success in this course for most students. Students in need of additional assistance should be encouraged to make use of the Math Lab where instructional assistants, tutors and mathematical tutoring software are available. The Math Lab is locating in MC84 and is open Monday-Thursday 8am-10pm and Friday 8am-4pm. Forming study groups outside of class may also offer further support. Entry Skills for Math 28: Prior to enrolling in Math 28 students should be able to: A. Identify and graph different types of functions (polynomial, rational, piecewise, exponential, logarithmic) B. Determine domain and range of functions. C. Perform operations (add, subtract, divide, compose) on functions. D. Factor completely algebraic expressions E. Solve linear and quadratic equations and inequalities F. Solve rational equations and inequalities G. Solve higher-order equations. H. Solve exponential and logarithmic equations I. Solve systems of equations J. Perform operations on exponential and logarithmic expressions K. Perform operations on polynomials L. Write algebraic expressions to be used in solving application problems M. Compute the sum of a geometric sequence N. Apply the binomial theorem to expand a binomial O. Use a calculator to perform basic operations Exit skills for MATH 28: Upon successful completion of this course, the student will be able to: A. Define business terms B. Use algebraic skills to solve business, economics and social science problems C. Solve finance problems D. Find the limit of functions E. Find derivatives of functions and express their answers in simplest factored form F. Use derivatives to solve problems in business, economics and social sciences G. Use concepts of derivatives (as well as domain, intercepts, asymptotes, etc.) to graph functions H. Use derivatives to solve optimization problems I. Find antiderivatives of functions J. Use the techniques of integration to solve basic area problems, as well as problems in business, economics and social science
SCHEDULE OF LECTURES, HOMEWORK & EXAMS Date Section Material Homework 2/13 A-3 Factoring Polynomials 19-55*, A-4 Operations on Rational Expressions 23-33odd,43 A-5 Integer Exponents 1-13odd,39,41,43-46 2/14 A-6 Rational Exponents and Radicals 1-65*,63,83-88all 1-1 Functions 39-79odd,91,94 2/15 1-2 Graphs and Transformations 1-31odd,47,49,51,65,69,71 1-3 Linear & Quadratic Functions 5-47odd,63,65,69,77 2/16 1-4 Polynomial & Rational Functions 1-19odd,33-51odd,57,59abc 2/20 President s Day (No class) 2/21 1-4 Polynomials & Rational Functions supplement 2/22 1-5 Exponential Functions 1-9odd,23,25,29-41odd, 47-55odd,59,61 2/23 1-6 Logarithmic Functions 13-19odd,27-37odd,43-55odd 61-65odd,79,81,87,92 2/27 D3-1 Simple Interest 9-77* 2/28 D3-2 Compound Interest 33-67*,71-79odd,85-97odd 3/1 D3-3 Sinking Funds 15-19odd,27-49odd 3/2 D3-4 Amortization 15-31odd (omit #21) 3/6 D3-4 Amortization 33-61odd (omit #37) 3/7 Review 3/8 Exam 1 on Chapters 1, 2 & A,D 3/9 2-1 Introduction to Limits 13-85odd,89c,91 3/13 2-2 Infinite Limits 9-63odd,85,89,92 3/14 2-3 Continuity 9-55odd,69-73odd,83,85,89 3/15 2-4 The Derivative 9,11-59*,69,71-87* (omit#37) 3/16 No class 3/20 2-5 Basic Differentiation Properties 9-63odd,73-91odd 3/21 2-6 Differentials 9-19odd,27-31odd,45,48,53 3/22 2-7 Marginal Analysis in Business & Economics 9-49odd; 51a 3/23 2-7 Marginal Analysis in Business & Economics 9-49odd, 51a 3/27 Review 3/28 Exam 2 on Chapter 2 3/29 3-1 The constant e 25-35odd,39ac,41,45,47 3-2 Derivatives of Log & Exponential Functions 9-53*,63,69 3/30 3-3 Derivatives of Products & Quotients 9-73* 4/3 3-3 Derivatives of Products & Quotients 75-97odd 3-4 Chain Rule 9-43odd 4/4 3-4 Chain Rule 45-69*,79-97odd 4/5 3-5 Implicit Differentiation 9-55odd (omit #49),supplement 4/6 3-6 Related Rates 9-25odd,33,35,37 SPRING BREAK(4/10-4/14) 4/17 3-7 Elasticity of Demand 33-37odd, 47-67odd,81 *Every other odd problem.
Date Section Material Homework 4/18 Review 4/19 Exam 3 on Chapter 3 4/20 4-1 First Derivative and Graphs 9-16all,17-25odd,33-45*,53-59odd 4/24 4-1 First Derivative and Graphs 65,67,69-74all,77-89*,91,95 4/25 4-2 Second Derivative and Graphs 9,11,13-16all,17-39odd 4/26 4-2 Second Derivative and Graphs 41-69odd 4/27 4-4 Curve Sketching Techniques 9-63odd 5/1 4-4 Curve Sketching Techniques 71-77odd,supplement 5/2 4-5 Absolute Maxima and Minima 9-77* 5/3 4-6 Optimization 9-31odd (omit #23) 5/4 4-6 Optimization 33,43-49odd 5/8 Review 5/9 Exam 4 on Chapter 4 5/10 5-1 Antiderivatives & Indefinite Integrals 9-57odd 5/11 5-1 Antiderivatives & Indefinite Integrals 59-69odd,71,73,81,85,89 5-2 Integration by Substitution 9-43odd 5/15 5-2 Integration by Substitution 59-75odd,77,79,81ab,83,85,89 5/16 5-4 Intro to the Definite Integral 15,17,19,61,73 5-5 Definite Integral as a Limit of a Sum (supplement) 5/17 5-5 Fundamental Theorem of Calculus 13-47odd,49a-55a odd,57-61odd 69,71,77,81,87,91,93 5/18 6-1 Area between Curves 9-27odd,33-39odd 5/22 6-1 Area between Curves 43-57odd,65,67,85 5/23 6-2 Applications in Business & Economics 55-65odd 5/24 6-3 Integration by Parts 15-27odd,37-45odd 5/25 6-3 Integration by Parts 47-57odd,63,75,76,,79 5/29 Memorial Day (No class) 5/30 6-4 Integration using Tables 9-27odd,37-43odd,69,71 5/31 Review 6/1 Exam 5 on Chapters 5 & 6 6/5 Review for the entire course 6/7 FINAL EXAM 8am-11am The instructor does reserve the right to add or modify the syllabus.
WEB ASSIGN Web Assign is a web based homework system. The purpose of this is to practice more involved problems to supplement the problems in the textbook. The website for web assign is http://webassign.net/student.html To use web assign, you will need a user name, password, and an access code. I will provide you with the user name and password. The sign-in sheet has your username. Please write it down in your notebook. YOUR PASSWORD IS YOUR STUDENT ID NUMBER. To get the access code, you must purchase the code on line when you login to web assign. Note that when you purchase the access code on line you will need a credit card. When you go to the website, you will be asked for your user name, institution and password. The institution is SMC. Once you have logged in, web assign will inform you that you have not entered your access code. You can then purchase it online. NOTE: For the first 14 days you will not need an access code. This is a grace period should you decide not to continue in this course. After the 14 day grace period if you decide to stay in the course, you will have to purchase the access code. You will not be able to do any of the assignments after the grace period without having entered the access code. This is a one time thing. Once you have logged into web assign, you are then able to complete any and all assignments listed by their due dates. All assignments will be due at 11:59pm. There are no extensions granted. No excuses. If you don t have access to the internet at home, you can use one the computer labs at school including the Math Lab, the Cayton Center lab, and the Library. If you have any problems entering answers into web assign, there is an online student handbook that can help. Also feel free to come by my office and I will be glad to help you. Note that I will not take class time to go over web assign problems. Also note that everyone has different versions of the same problem. Cheating will not be tolerated, however, I do encourage you to form study groups. These problems will take you some time to do so do not wait until the last minute to do them. For the majority of the problems, you will have up to five chances to enter in answers. If you enter an answer three times and are convinced it is right, double check your syntax. If that is correct review the problem with me during my office hours. DO NOT HAVE THE MATH LAB TUTORS DO THE PROBLEM FOR YOU. They are familiar with the system and have been informed not to give you answers. They will aid you in solving the problem. One final note: Once you submit all your answers for a particular assignment, web assign will grade it and give you immediate feedback. That s great. However, do not spend all your time on web assign. You must do the homework in the book as well which will also be graded. The concepts you will learn are a culmination of development from class lectures, textbook homework, online homework, quizzes, and reviews. MY ADVICE: Don t procrastinate. Never assume. FORM STUDY GROUPS. Read the textbook. Visit the Math Lab. Come to office hours. ASK QUESTIONS.
Course Content: 3% -College Algebra review 10% -Functions(linear,quadratic,polynomial,rational,exponential,logarithmic) 9% -Mathematics of finance 5% -Limits 16% -Derivatives and applications 17% -First and second derivative analysis and graphs 10% -Exponential and logarithmic functional analysis 5% -Implicit differentiation; related rates 5% -Antiderivatives and indefinite integrals 10% -Definition of definite integral, Fundamental Theorem of Calculus 10% -Methods of integration Student Learning Outcomes: The knowledge, skills, or abilities that the student will demonstrate by the end of the semester. Given a situation encountered in finance, students will determine the correct finance formula to solve the problem. Given a polynomial, rational, exponential or log function, students will analyze the function using concepts of derivative and create a graph that includes intercepts, holes, asymptotes, maximum and/or minimum values and points of inflection, if they exist. Given a situation encountered in business or social sciences, students will determine the function or equation that best models the situation and solve the problem.