Math 3A-Calculus1 Peralta Class Code Spring 2013 College of Alameda Instructor: Email: Office Hours Location Claudia Abadia cabadia@peralta.edu Tu/Th 10:00AM-10:50AM, Wed 10:00AM-11:50 AM L110a TEXT: Stewart, James, Calculus, Early Transcendentals, 7 th edition, Brooks Cole WEB ASSIGN WEBSITE : http://www.webassign.net/ WEB ASSIGN SECTION: Alameda.peralta 8106 4028 WEB ASSIGN Access to a computer with the following software installed... Operating System: Windows XP (or higher) OR Mac OS X 10.4+ Web Browser: Mozilla Firefox (Version 12+), Google Chrome (Version 19+), Microsoft Internet Explorer (Version 8+), OR Apple Safari (Version 5.1+) Plug-ins: Adobe Acrobat Reader (Version 8+), Adobe Flash Player (Version 10+), Adobe Shockwave Player (Version 11+), AND Java (Version 6+) Additional Software: WebAssign Lockdown Browser COURSE DESCRIPTION: The prerequisite for this class is Math 2 or Math 1 (PreCalculus) and Math 50 or by placement through the assessment process: Students will learn the elements of analytic geometry, differentiation and integration of algebraic and transcendental functions with applications. Use of a graphing calculator or a computer algebra system is required Topics that will be covered include Limits Derivatives Chain Rule Implicit Differentiation Fundamental Theorem of Calculus Course Topics This is the first course in the 3-semester calculus sequence. Below is a list of topics along with the percentage of time that will be spent on each. 1. Functions (Optional - 10%) Functions, Domain, and Range Mathematical Models Library of Functions: Power, Reciprocal, Root, Polynomial, Rational, Trigonometric, and Exponential Inverse Functions including Logarithms and Inverse Trigonometric Functions
2. Limits and continuous functions (20%) The Tangent Line & Velocity Problem The Limit of a Function Limit Laws including the Squeeze Theorem Continuity including The Intermediate Value Theorem Limits at Infinity and Infinite Limits 3. The Derivative (25%) The Derivative at a Point and Rates of Change The Derivative as a Function Derivatives of Polynomials and Exponential Functions Derivatives of Trigonometric Functions The Chain Rule Implicit Differentiation Derivatives of Logarithmic Functions Rates of Changes in the Natural and Social Sciences Related Rates Linear Approximations and Differentials Hyperbolic Functions, Inverse Hyperbolic Functions, and Their Derivatives 4. Applications of the Derivative (30%) Maximum/Minimum Values and Critical Points including The Extreme Value Theorem Rolle's Theorem and The Mean Value Theorem The Derivative and the Shape of a Graph Indeterminate Forms & L'Hospital's Rule Using the Derivative to Sketch the Graph of a Function Applied Optimization Antiderivatives including Rectilinear Motion 5. The Definite Integral (15%) Approximating the Area under a Curve and Distance Travelled using Riemann Sums The Definite Integral and its Properties The Fundamental Theorem of Calculus Indefinite Integrals The Accumulation of the Rate of Change Displacement versus Distance Travelled The Substitution Rule including Integrals of Symmetric Function STUDENT LEARNING OUTCOMES Synthesize data, translate words into math language, and construct an abstract model that describes the problem. (Proof and Deductive Reasoning skills) Analyze information, and create a graph that is correctly titled and labeled, appropriately designed, and accurately emphasizes the most important data content. (Graphing) Manipulate complex algebraic expressions and general functions, and be able to differentiate and integrate algebraic and transcendental functions. (Compute, Simplify, and Solve)
`Hybrid Course Format The hybrid format of this course has a reduced number of contact hours accompanied with alternative mediums of learning outside of class: 3 contact hours, and 2 hours of supplemental instruction through online lectures, quizzes, and offline assignments. We will generally cover 3 sections a week: 2 in class, and 1 online. I want to stress that this is not an online course; you are required to attend lecture. I will cover the same content as a regular lecture course. You must devote at least 10-15 hours each week outside this course whether it be studying or working on various assignments. Some people may have to devote more time depending on how well they grasp the material. Success in this course is attributed to your discipline, organization, and willingness to seek help (when needed) from myself, the Math Lab, a study group, or online discussion board. GRADING Homework 25% Quizzes 15 % Exams 40% Final Exam 20% ATTENDANCE Students will be dropped for missing more than 2 weeks of class without official, documented excuses. Note, the attendance clock will begin on the first day of class, not when the student finally adds the class. State law and College of Alameda s Code require that students be allowed to make up missed work/quizzes/tests due to absences for religious holidays, athletic or other school-- related events. You must notify me at least one week in advance if you have to miss class for these cases. You are responsible for making up any missed work within one week of the absence. CLASSROOM EXPECTATIONS Students are ere expected to: Attend class on a regular basis Be on time to class. Come prepared to class with all necessary materials. Recognize that it is the student s responsibility to withdraw from the class, not the instructor s responsibility. Not to copy off of each other on Homework, Class Assignments, or Tests Not bring cell phones, laptops or electronic devices to class TENTATIVE CALENDAR OF TOPICS Wk 1 Jan 22 Section 1.1 - four ways to represent a function Section 1.2- Mathematical Models Section 1.3 - new functions from old functions Wk 2 Jan 28 Section 1.5 exponential functions Section 1.6 - inverse functions and Logarithms Section 2.1 - the tangent and velocity problems Section 2.2 - the limit of a function Wk 3 Feb 4 Section 2.3 - calculating limits using the limit laws
Section 2.5 - continuity Section 2.6 - limits at Infinity; horizontal asymptotes Wk 4 Feb 11 Section 2.7 - derivatives and rates of change Section 2.8 - the derivative as a function Review Chapter 1 & 2 Wk 5 Feb 19 Exam Ch 1 & 2 Section 3.1 - derivatives of polynomials and exponential functions Section 3.2 - the product and quotient rules Wk 6 Feb 25 Section 3.3 - derivatives of trigonometric functions Section 3.4 - the chain rule Section 3.5 - implicit differentiation Wk 7 March 4 Section 3.6 - derivatives of logarithmic functions Section 3.7 rates of change in Nat/Soc Sciences Section 3.9 - related rates Wk 8 March 11 Section 3.10 linear approximation and differentials Section 3.11 - hyperbolic functions Review Ch 3 Wk 9 March 18 Exam Ch 3 Section 4.1 - maximum and minimum values Section 4.2 - the mean value theorem Wk 10 April 1 Section 4.3 - how derivatives affect the shape of a graph Section 4.4 - indeterminate forms and L'Hospital's Rule Section 4.5 - summary of curve sketching Wk 11 April 8 Section 4.7 - optimization problems Section 4.9 - anti-derivatives Wk 12 April 15 Review Ch 4 Exam Ch 4 Wk 13 April 22 Section 5.1 - areas and distances Section 5.2 - the definite integral Section 5.3 - the fundamental theorem of calculus Wk 14 April29 Section 5.3 - the fundamental theorem of calculus Section 5.4 - indefinite integrals and the net change theorem Wk 15 May 6 Section 5.5 - the substitution rule Wk 16 May 13 Review Final Exam HOMEWORK The online homework will be completed through WebAssign. You should be writing down each problem in a notebook and keeping a record of your work for studying purposes. You will have 5 tries to submit a correct answer before it is marked incorrect. For problems with multiple parts, partial credit is awarded. The program has Master It & Video Example
features built into some of the homework problems. The Master It option displays an example problem and interactively helps you solve it, while the Video Example displays a video of an example problem. Online homework assigned in lecture will be due at 11:59 pm online the following week. After the homework is due, PDFs are available within the program with worked out solutions. No late online homework will be accepted under any circumstances. QUIZZES There will be online quizzes on WebAssign due along with each assignment with the possibility of in class pop quizzes. The WebAssign Lockdown Browser must be installed in order to take a quiz. This is to prevent you from accessing the web while taking an exam. You will have 10-45 minutes to complete an online quiz with at most 2 chances to take it. You must complete a quiz once you start it, and may not save and come back to it later. You must submit before you can re-access the ebook and online homework. Try to take these without the aid of your textbook, notes, homework, or formula sheets. Online quizzes assigned in lecture will be due at 11:59 pm online the following week. There will be no make-ups under any circumstances. MIDTERM There will be four midterms. Each midterm will cover material discussed in class and covered on the homework and quizzes. No makeup midterms will be allowed. I will drop the lowest midterm score FINAL The final exam is comprehensive. It will cover material discussed in class, covered in the homework and on the midterms. The final will also include any new material that has been covered since the last midterm. ACADEMIC HONESTY: Students are expected to adhere to the Code of Conduct as described in the College of Alameda Catalog. Be aware that cheating includes using unauthorized notes on an exam, looking at someone else s exam or quiz, or programming notes into your graphing calculators. Students who are caught cheating will receive a zero on the exam or quiz. Multiple infractions of cheating will result in a failing grade for the course. Anyone with further questions or problems should contact me as soon as possible. Also, note that using cell phones is not permitted during class, including texting. You should alert me before class of the need to receive an emergency phone call or the need to leave class early. Laptop usage is not permitted during class. Students who are disruptive during class or disrespectful of their fellow classmates will be asked to leave for the day. Please note: students are responsible for dropping a course before the posted drop deadline. A student who wishes to withdraw but does not do so before the deadline will receive an F in the course. The last day to withdraw for the semester is April. 27 th STUDENT SERVICES Math Lab and Open Lab: The Math Lab is located in Room L207. This room is located on the second floor of the COA Library at the top of the stairs, to your left. The Open Lab is located down the hall. I will announce hours of operation for Spring 2013 when I receive them. The Math Lab and the Open Lab computers are equipped to run the course site.
Please use the Math Lab to complete assignments online, receive help from tutors, and refer to hard copies of the textbook. Please use the Open Lab to complete the course if you are experiencing trouble with your own computer. You can print homework assignments in the Open Lab, but not the Math Lab. You can complete printed assignments at home, and then return later to the Open Lab or Math Lab to enter your responses. I recommend you complete online quizzes in the Open Lab you ll avoid potential technical difficulties because the computers are faster and more current in this lab. Students must enroll in LRNRE 501 20218 in order to use services provided by the LRC. Please note that this course is a non unit bearing courses and is of no cost to the students. LRNRE course will not appear on an official transcript. Disability Support Services Any student with a documented disability is welcome to contact DSPS as early in the semester as possible so that we may arrange reasonable accommodations. As part of this process, please be in touch with DSPS. DSPS is located in D-117; their phone number is (510)748-2328. IMPORTANT DATES: February 3 rd Last Day to drop without a W February 3 rd Last Day to add a class February 8 th Last day to file Pass/No Pass option February 15 th Lincoln s Birthday-Holiday February 18 th Washington s Birthday- Holiday March 25 th -31 st Spring Break April 27 th Last Day to drop a class with a W May 17 th Malcolm X Day- Holiday May 18t h -24 th Final Exams