MATH 7 Course Syllabus SPRING Semester 2014 Instructor: Brian Rodas Class Room and Time: MC 70 MTWTh 8:15am-9:20am Office Room: MC 35 Office Phone: (310)434-8673 Office Hours: M 11am-12pm, TTh 2:30pm-3:30pm, W 2:30pm-3:30pm(Math Lab Study Room MC 84) 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: Swokowski, Earl. Calculus. Classic edition, Brooks/Cole Publishing Co.,1991. Course Description: This course is intended for computer science, engineering, mathematics and natural science majors. Topics in this first course include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications. The prerequisite is MATH 2 with a grade of C or better. Format of Course: The first 10-15 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/Webassign: Homework from the textbook will be assigned daily but not collected. 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. 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 Worksheets: Worksheets will be given periodically. They consist of problems designed to understand the material and promote cooperative learning. These problems are to be done in groups. These problems will be collected and graded. 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. Note also that a diagnostic mini-exam will be given on the fourth day of class. This is a mandatory exam that every student must take to stay in the class. It will be graded and factored into the quiz grade. Calculators: Although the use of calculators are not permitted for exams or quizzes, they can be useful for doing tedious calculations and graphing. I encourage you to check your answers on the calculator when doing your homework but do not become dependent on the calculator. They will be extremely handy for performing numerical integration. 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 cellular 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. Refer to the school s web page, www.smc.edu, for withdrawal dates. IT IS THE STUDENT S RESPON- SIBILITY TO BE AWARE OF WITHDRAWAL DATES AND TO TAKE THE APPROPRIATE NECESSARY STEPS. 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 lab is open Monday-Thursday 8am-10pm and Friday 8am-4pm. Forming study groups outside of class may also offer further support. Grading: Top four exams Lowest exam Quizzes Worksheets On line Homework Final exam Total 400 points 50 points 75 points 25 points 50 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). Entry Skills for Math 7: Prior to enrolling in Math 7 students should be able to: A. Determine domain, range, symmetry and inverse, if it exists, of a relation. B. Analyze and graph a given function, including but not limited to piecewise defined, polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions. C. Use transformation techniques including vertical and horizontal shifts, compression, stretching, and reflection over the x or y axis to sketch the graph of a function. D. Use the language and standard mathematical notation of the algebra of functions. E. Determine algebraic combinations and compositions of functions and state their domains. F. State and apply the unit-circle and right triangle definitions of trigonometric functions and their inverses. G. State and apply fundamental trigonometric identities and the sum, difference, double-angle and half-angle identities. H. Factor polynomials using rational and complex zeros. I. Solve polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric equations. J. Write algebraic and trigonometric relationships to solve application problems, including solution of triangles. K. Prove trigonometric identities. L. Classify, analyze and graph conic sections given any quadratic equation in two variables. (Excludes rotation) M. Solve systems of nonlinear equations. N. Prove statements using mathematical induction. O. Apply the binomial theorem to expand a binomial and find required intermediate term. P. Use the language and notation of sequences and series. Determine any term in a sequence. Q. Evaluate, manipulate and interpret summation notation. Exit skills for MATH 7: Upon successful completion of this course, the student will be able to: A. Evaluate limits using basic limit theorems and the epsilon-delta definition. B. State and apply the definition of continuity to determine a function s points of continuity and discontinuity. C. Differentiate elementary functions using basic derivative theorems and the definition of the derivative.
D. Integrate elementary functions using basic integral theorems and the definition of the definite integral. E. Approximate definite integrals using numerical integration. F. Solve derivative application problems including optimization, related rates, linearization, curve sketching and rectilinear motion. G. Solve integral application problems including area, volume, arc length and work. H. State and apply the Mean Value theorems, Extreme Value theorem, Intermediate Value Theorem, Fundamental Theorem of Calculus, and Newton s Method. SCHEDULE OF LECTURES, HOMEWORK & EXAMS Date Section Material Homework 2/18 1.1 Precalculus Review 1,3,5,9,13,27,31,53,55,65,69 2/19 1.2 Precalculus Review 5,9,11,23,25,31,33,35,41,53 2/20 1.3 Precalulus Review 9,11,13,17,21,,27,29,33,37,43,55,57 2/24 Precalulus Review Exam 2/25 2.1 Introduction to Limits 1-45odd,48 2/26 2.2 Definition of Limit 7-29odd 2/27 2.3 Techniques of Finding Limits 1-55odd,61-65,68 3/3 2.4 Limits involving Infinity 1-23odd,27-39odd 3/4 2.5 Continuous Functions 1-27odd 3/5 2.5 Continuous Functions 31-50all,55-60oall 3/6 2.6 WORKSHEET for Exam 1 1-43odd 3/10 REVIEW 3/11 EXAM 1 on Chapter 2 3/12 3.1 Tangent Lines & Rates of Change 1-21odd 3/13 3.2 Definition of Derivative 1-33odd,37-49odd 3/17 3.3 Techniques of Differentiation 1-57odd,67,71,73,77 3/18 No class 3/19 3.4 Derivatives of Trig Functions 1-37odd,41,43,47,49 3/20 3.5 Increments and Differentials 1-18odd,33 3/24 3.6 The Chain Rule 1-61odd 3/25 3.6 The Chain Rule 37,53,61,63-83odd 3/26 3.7 Implicit Differentiation 1-17odd,23-33odd 3/27 3.8 Related Rates 1-15odd 3/31 3.8 Related Rates 17,21,24,25,45 4/1 3.9 WORKSHEET for Exam 2 1-53odd,63,65,67,69 4/2 REVIEW 4/3 EXAM 2 on Chapter 3 4/7 4.1 Extrema of Functions 1-30odd 4/8 4.2 The Mean Value Theorem 1-24odd 4/9 4.3 First Derivative Test 1-33odd 4/10 4.4 Concavity and the Second Derivative 1-30odd SPRING BREAK 4/14-4/18 4/21 4.5 Summary of Graphical Methods 9,19-29odd,35 4/22 4.6 Optimization Problems 1-7odd 4/23 4.6 Optimization Problems 9-15odd,19 4/24 4.7 Rectilinear Motion & Other Applications 1-12odd,23,24 4/28 4.8 Newton s Method 1,3,5,7,9,21 4/29 4.9 WORKSHEET for Exam 3 1-23odd, 25,27,31,33 4/30 REVIEW 5/1 EXAM 3 on Chapter 4 5/5 5.1 Antiderivatives and Indefinite Integrals 1-31odd,49-53odd,59
5/6 5.2 Change of Variables & Indefinite Integrals 1-47odd 5/7 5.3 Summation Notation and Area 1-21odd 5/8 5.3 Summation Notation and Area 25-31odd 5.4 The Definite Integral 1-9odd 5/12 5.4 The Definite Integral 17-33odd 5.5 Properties of the Definite Integral 1-25odd 5/13 5.6 Fundamental Theorem of Calculus 1-36odd,41,43 5/14 5.7 Numerical Integration 1,3,5,9,13,17 5/15 5.8 WORKSHEET for Exam 4 1-53odd 5/19 REVIEW 5/20 EXAM 4 on Chapter 5 5/21 6.1 Area 1-36odd 5/22 6.2 Solids of Revolution 1-34odd 5/26 NO CLASS (Memorial Day Holiday) 5/27 6.3 Volumes by Cylindrical Shells 5-15odd 5/28 6.4 Volumes by Cross Sections 1-15odd 5/29 6.5 Arc Length 1-15odd,29,31,39 6.6 Work 1-15odd 6/2 6.6 Work 1-15odd 6/3 6.7 WORKSHEET for Exam 5 6/4 REVIEW 6/5 EXAM 5 on Chapter 6 6/9 REVIEW for final 6/11 FINAL EXAM 8am-11am The instructor does reserve the right to add or modify the syllabus at the instructor s discretion.
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. The sign-in sheet has your username. Please write your user name down in your notebook. YOUR PASSWORD IS YOUR STUDENT ID NUMBER. To get the access code, purchase the code on line when you login to web assign. Note that if you purchase the access code on line you will need a credit card. If for some reason you can t purchase the code online, you can purchase the code at the bookstore. Tell the cashier at the bookstore that you need a stand alone web assign access code for Professor Rodas Math 7 class. 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 or enter the code you purchased from the bookstore. 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, class discussions and group work 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.
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Course Content: 8% -Review topics from precalculus (algebra functions, trigonometry, sequences, series) 13% -Limits and continuity (epsilon-delta, limits, one-sided limits, limits involving infinity, definition & properties of continuous functions) 21% -Derivatives (definition, techniques of differentiation, derivatives of rational & trig functions, Chain Rule, differentials & linearization, implicit differentiation, tangent lines, rates of change) 23% -Applications of the derivative (extreme values of functions, the Mean Value Theorem, the first and second derivative tests, curve sketching, optimization, rectilinear motion, Newtons Method) 17% -Integrals (antiderivatives, indefinite integrals, definite integral, Fundamental Theorem of Calculus, Mean Value Theorem for integrals, numerical integration) 14% -Applications of the definite integral (area; volumes by slicing, disks, washers, cylindrical shells; arc length; work) 4% -Review for final exam Student Learning Outcomes: The knowledge, skills, or abilities that the student will demonstrate by the end of the semester. Given an algebraic or trigonometric function, students will evaluate and apply limits and prove basic limit statements. Given an algebraic or trigonometric function, students will differentiate the function and solve application problems involving differentiation. Given an algebraic or trigonometric function, students will integrate the function and solve application problems involving integration.