Truman College-Mathematics Department Math 207-ABD: Calculus and Analytic Geometry I Course Syllabus Summer 2014

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1 Truman College-Mathematics Department Math 207-ABD: Calculus and Analytic Geometry I Course Syllabus Summer 2014 Instructor: Dr. Abdallah Shuaibi Office #: 3824B ashuaibi1@ccc.edu URL: Phone #: (773) Office Hours: Office Hours: DAYS WALK-IN OFFICE HOURS ADVISEMENT OFFICE HOURS Monday & Wednesday 4:30-6:00 pm 1:30-2:00 pm MML Website Address: MML Course ID: shuaibi69222 The Truman College Mission Statement: Our Mission dedicates us to deliver high-quality, innovative, affordable, and accessible educational opportunities and services that prepare students for a rapidly changing and diverse global economy. Class Time and Place: Monday & Wednesday 8:30 am - 1:20 pm, Room #: Prerequisite: A grade of C or better in Mathematics 140 and Mathematics 141 or Mathematics 143, or appropriate placement test score or consent of department chairperson. Contact & Credit Hours: Ten hours per week, for 8 weeks for five(5) credit hours. The instructor is also available for consultation during conference hours. Length of Course: 8 weeks. Students the Course is Expected to Serve: This course is intended for students requiring the first course in calculus. Textbook: Thomas s Calculus, Early Transcendentals, 12th Edition, by George B. Thomas, Maurice D. Weir, and Joel Hass. Addison-Wesley Publishing, Course Description: This is the first course in calculus and analytic geometry. It explores various characteristics and equations of conics and covers techniques of differentiation for algebraic, trigonometric, inverse trigonometric, exponential and logarithmic functions. Topics include: Equations of lines, circles and conic sections, limits and continuity. Derivatives and their applications to curve sketching, maxima/minima and related rate problems. The anti-derivative and definite integral, including change of variables and the fundamental theorem of calculus. Technology and writing as appropriate to the discipline will be emphasized throughout the course. Other materials: Students are required to have a scientific or a graphing calculator. You are not allowed to use a cell phone as a calculator. 1

2 MML & Internet Resources: The textbook used for this course is bundled with MyMathLab (MML) software. MyMathLab is a text-specific, easily customizable online courses for textbooks in Mathematics and Statistics. MyMathLab provides a rich and flexible set of course materials, featuring free-response exercises correlated directly to the textbook that instructors can assign for online homework, quizzes, and tests. These exercises regenerate algorithmically for unlimited practice and mastery, and in homework and practice modes, each exercise is accompanied by an interactive guided solution and sample problem. MyMathLab provides students additional with multimedia resources, such as video lectures,animations, and an ebook, to independently improve their understanding and performance. If you bought your textbook at Beck s Bookstore, you should have automatically received MyMath- Lab access code. If you bought your textbook elsewhere, you may not have MyMathLab access code. You should be able to purchase a code online at The rationale for including MML is to enrich your experience learning statistics both inside and outside of the classroom and to give you every possible opportunity to do well. MML provides you with a wonderful tool to support your learning on a 24/7 basis. It is always there for you no matter what your schedule. It is there to help you to reinforce concepts introduced in the classroom. Consider MML as your virtual tutor. Online class work, homework and quizzes/tests will be assigned throughout this course. You will get immediate feedback on each homework problem, and incorrectly worked problems can be repeated (with a new version of the problem provided by the computer) until a correct solution is obtained. Tips and examples are available online for each problem, in addition to the help available from your instructor and the Tutoring Center. Online Assignments may be done at any location with an internet access. Do not wait till the last hour to start and complete online assignments because a computer glitch may prevent you from accessing your account. Additional MML resources are available such as Video lectures, PowerPoint Presentations, Immediate grading and feedback, Access to tutors (at or tutors@aw.com) and Access to technical assistance (at ). Course Objectives: 1. Discuss the equations and characteristics of various conics. 2. Understand the concepts of a limit, continuity, and differentiability. 3. Differentiate algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions. 4. Apply the sum, product, quotient, and chain rules of differentiation. 5. Apply the concepts of differential calculus to contextual (real-world) situations. 6. Understand the concept of an antiderivative and its role in the Fundamental Theorem of Calculus. Student Learning Outcomes: Upon satisfactory completion of the course, students will be able to: 1. Estimate limits and derivatives graphically and by using tables of values. 2. Calculate limits of functions algebraically. 2

3 3. Calculate derivatives of functions using the definition of a derivative. 4. Identify points where a function fails to be continuous or differentiable. 5. Calculate derivatives of functions using the sum, product, quotient and chain rules. 6. Determine derivatives of functions using implicit differentiation. 7. Determine the equation of a tangent line to the graph of a function. 8. Approximate changes in a function using differentials. 9. Apply the Intermediate, Mean, and Extreme Value Theorems to a function defined on a closed and bounded interval. 10. Apply derivatives to problems involving optimization and related rates. 11. Analyze the behavior of functions and their graphs using first and second derivatives (e.g., determine local and absolute extrema, concavity, and inflection points). 12. Determine antiderivatives of functions. 13. Apply the concepts of first and second derivatives and antiderivatives to motion problems. 14. Calculate a Riemann sum of a function on a closed interval. 15. Evaluate definite integrals by using the Fundamental Theorem of Calculus. General Education Goals: This course addresses the following TR General Education Goals: The student performs effectively in the workplace and/or has the ability to work and make effective use of wide variety of current technologies. (Gen. Ed. Goal 2) The student demonstrates the ability to think critically, abstractly, and logically. (Gen. Ed. Goal 4) The student demonstrates the ability to work independently. (Gen. Ed. Goal 6) Class Operation: 1. Homework: Reading the relevant sections in your textbook is always expected. All homework assignments will be be assigned daily and they are created using MyMathLab software, and they will be automatically graded. MML online homework exercises include guided solutions and sample problems to help students understand and master concepts. Students who keep up the daily work are generally those who do well on quizzes and tests. 2. Blackboard & Website: It is your responsibility to check the Blackboard & My Website regularly for announcements, homework assignments, and other important information regarding the course. 3. Quizzes: Throughout the summer semester, we will have at least 6 quizzes. Quizzes cannot be made up. There are no exceptions. As a result, I will drop the lowest quiz. We will try not have quizzes on the weeks an exam is scheduled. 3

4 4. Tests: There will be three exams during the semester besides the final exam. The final exam is also cumulative, and it will be given during the last week of the semester. Policies: Participation policy: Class participation is mandatory. You are expected to attend most of the class sessions. If you have any question, be ready to ask it at the beginning of the class. The average student should plan two hours of out of class time for each hour of class. Some students need more time than this. Make-up Policy: No make-up exam is given without prior notification and documented acceptable excuse. The student must contact the instructor by telephone or on the day of the exam if there is a problem. If you know in advance of an unavoidable absence, arrangements can be made to take a test prior to the absence. Attendance/Tardiness Policy: Students must attend regularly every lecture. They are expected to be there ON TIME. Each late and early departure, for whatever reason, will be considered half an absence. A student arriving and/or leaving 15 minutes or more after the class has started or ended will be considered absent, not late, but absent, regardless of their presence during some portion of the class. Class attendance will be taken within five minutes after each class session starts. If you are late, it is your responsibility to ensure that your attendance is recorded at the end of the lecture. Otherwise, it might be considered absent. If you miss a class, it is your responsibility to obtain the assignment and find out what material was covered. Mathematics Department Active Pursuit of Course Objectives & ADW Policy: Students are not actively pursuing the course objectives and will be administratively withdrawn (ADW) at midterm if at least two of the following apply: 1. Less than 70% of assignments up to the midterm have been completed. 2. Less than 70% of quizzes and tests up to the midterm have been attempted. 3. Less than 50% of class sessions up to the midterm have been attended. Cell Phones and Beepers: Electronic devices cause disruption during class and are not permitted. In order to respect the learning environment, please turn off all such items prior to class. Academic Support & Computer Labs: (Tutoring Center) (Schedule) (Student Services) (Trio Program) 4

5 Additional Information The Math Center: The Math Center is a free service for all Truman students taking Foundational Studies Math, Math 98, Math 99, and students studying for the placement test. The Math Center is also open to credit level math students during specific periods. The Math Center focuses on active and cooperative learning. Students may use the Math Center to work on homework, study for tests, to get answers to quick questions and for informal study sessions. The Math Center does not provide one-on-one, individualized help. The Math Center is located in Room The telephone number is (773) Hours of Operation are Monday-Thursday: 9am - 7pm, Friday: 10am - 4pm and Saturday: 11am - 2pm. The Tutoring Center: The Tutoring Center is available for individualized, one-on-one and group help working through problems. Additionally, the Tutoring Center offer assistance in most subject areas. Any City Colleges of Chicago student is welcome to use the services in the Tutoring Center free of charge. The Tutoring Center is located in Room 177 of the Larry McKeon Student Services Building. The telephone number is (773) Hours of Operation are Monday-Thursday: 9am - 9pm, Friday: 9am - 7pm and Saturday: 9am - 4pm. The Writing Center: The Writing Center is a free service for all Truman students taking any college credit course. The Writing Center offer guidance and feedback on any writing assignment for any credit class. Writing papers is an important part of college, and students often need guidance in structuring their essays, using the right words, or even deciding on a main idea. The Writing Center offers students one-on-one consultations on their writing assignments. The consultants on staff are all current or former City Colleges of Chicago instructors who hold at least a master s degree in English or other related areas. Students may make 25 or 50-minute appointments by stopping by the front desk or calling the Writing Center. During these appointments, Writing Center Consultants will look at your work to find both your strengths and your areas of improvement. In the interest of fairness, each student is allowed a maximum of three 50-minute sessions a week. The Writing Center is located in Room The telephone number is (773) Hours of Operation are Monday-Thursday: 9am - 7pm, Friday and Saturday: 11am - 2pm. Students with Disabilities The Disability Access Center (DAC) is located in Larry McKeon Student Services Building, Room 162. This is the Center, responsible for verifying that students have a disability -related needs for academic, accommodations and for planning appropriates accommodations, in cooperation with the students themselves and their instructors. Students who need academic accommodations should request them from the DAC Center Director, Linda Ford, who can be reached at Office hours are Monday-Thursday (9:00 a.m.-7:00 p.m.) & Friday (9:00 a.m. 4:00 p.m.) Truman College Academic Integrity Policy: If the alleged violation of the Academic Integrity policy occurs in the classroom, the instructor will determine if a student has committed an act of academic dishonesty. The instructor may take action commensurate with the severity of the act. The instructor may: 1. Assign a grade F or 0 to the assignment or test or appropriate part of the assignment or test. 5

6 2. Make a proportional reduction in the grade for an entire assignment, if the assignment is a part of a large assignment. 3. Assign a grade F for the course. See the student Handbook for specifics. Types of Activities: There will be an emphasis on on active and cooperative learning strategies throughout this course. Active Learning is, in short, anything that students do in a classroom other than merely passively listening to an instructor s lecture. This includes everything from listening practices which help students to absorb what they hear, to short writing exercises in which students react to lecture material, to complex group exercises in which students apply course material to real life situations and/or to new problems. Cooperative learning is a successful teaching strategy in which small teams, each with students of different levels of ability, use a variety of learning activities to improve their understanding of a subject. Each member of a team is responsible not only for learning what is taught but also for helping teammates learn, thus creating an atmosphere of achievement. Some of the class active/cooperative strategies are Think-Pair-Share, Student Summaries, One-Minute Paper, Roundtable, Corners and Shared Brainstorming. Weekly Schedule: 1. [June 4]: Functions and Their Graphs(1.1), Combining Functions; Shifting and Scaling(1.2), Trigonometric Functions(1.3), Graphing with Calculators and Computers(1.4). 2. [June 9 & 11]: Exponential Functions(1.5), Inverse Functions and Logarithms(1.6), Rates of Change and Tangents to Curves(2.1), Limits of a Function and Limit Laws(2.2), The Precise Definition of a Limit(2.3)[Optional], One Sided Limits(2.4). 3. [June 16 & 18]: Continuity(2.5), Limits Involving Infinity; Asymptotes of Graphs(2.6), Tangents and Derivative at a Point(3.1), The Derivative as a Function(3.2), Differentiation Rules(3.3). [Review & Exam I-June 16]. 4. [June 23 & 25]: The Derivative as a Rate of Change(3.4), Derivatives of Trigonometric Functions(3.5), The Chain Rule(3.6), Implicit Differentiation(3.7), Derivatives of Inverse Functions and Logarithms(3.8). 5. [June 30 & July 2]: Inverse Trigonometric Functions(3.9), Linearization and Differentials(3.11), Extreme Values of Functions(4.1), The Mean Value Theorem(4.2), Monotonic Functions and the First Derivative Test(4.3). [Review & Exam II-June 30]. 6. [July 7 & 9]: Concavity and Curve Sketching(4.4), Indeterminate Forms and L Hopital s Rule(4.5)[Optional], Applied Optimization(4.6), Newton s Method(4.7)[Optional], Antiderivatives(4.8), Area and Estimating with Finite Sums(5.1). 7. [July 14 & 16]: Sigma Notation and Limits of Finite Sums(5.2), The Definite Integral(5.3), The Fundamental Theorem of Calculus(5.4), Indefinite Integrals and the Substitution Method(5.5). [Review & Exam III-July 14]. 8. [July 21 & 23]: Substitution and Area Between Curves(5.6), The Logarithm Defined as an Integral(7.1), Exponential Change and Separable Differential Equations(7.2)[Optional]. [Review & Final Exam - July 23]. 6

7 Grading Policy: Exam I 15 % Exam II 15 % Exam III 15 % Final Exam 25 % MML Assignments 15 % In-Class Quizzes 15 % Grading Scale: A B C D F Extra Help!: Many students find that they need extra help in addition to that available in class. Help is available from the instructor at the times indicated or by appointment. Also, recognize that others in the class can and are willing to help. You are encouraged to keep in touch with classmates who have similar schedules. Tutoring is also available at Truman college. NOTE: The Instructor has the right to modify the course syllabus to accommodate the learning requirements of the class Good Luck Shuaibi, A. 7