NYU Tandon School of Engineering Department of Mathematics Departmental Website: www.math.engineering.nyu.edu MA-UY1154 CALCULUS II WITH PRECALCULUS Section: E - Room: RH 203 Tuesday, Thursday: 4:30pm - 7:20pm Spring 2016 Faculty : Harvansh Manocha Email: h m 8 4 3 @ n yu.edu Office: RH 323 C Office Hours: Tuesday, Thursday 2:00 pm to 4:00 pm Course Pre-requisites Math Placement Exam or successfully completed MA-UY 1054 Course Description This course covers the concepts and theorems of definite integrals, anti- derivatives, the Fundamental Theorems of Calculus. It emphasizes on the mastering of different integration techniques. The course also introduces ordinary differential equations, numerical approximation of definite integrals, and applications of integration. Course Objectives After completion of this course, the student will be able to: Understand the concept of differentiation and its applications Understand the concept of integration and its applications. Find closed forms and numerical solutions to integrals of most basic functions. Apply knowledge of integral calculus to solve problems in business, social science and biology. Course Structure The class is composed of lectures as well as seminars regarding exercises and problems from the textbook, worksheet, and homework. During the semester, there will be weekly homework assignments, three exams and one final exam. 1
2 Text Required Hoffman, Bradley, Sobecki and Price. Calculus For Business, Economics, And The Social And Life Sciences. Eleventh (Brief Edition) Course Information and Grading Your letter grade will be based on the higher average computed a ccording to the following two formulas MA1154 Grading Policy Formula 1 Formula 2 10% Worksheets and Participation 25% Best semester exam 25% Second best semester exam 40% Comprehensive final exam 10% Worksheets and participation 20% exam 1 20% exam 2 20% exam 3 30% comprehensive final exam Conversion of Course Average to Course Grade Course Average Course Grade 90-100 A 87-89 A- 84-86 B+ 80-83 B 77-79 B- 74-76 C+ 70-73 C 67-69 C- 64-66 D+ 50-63 D below 50 F Spring 2016 exam date Mid-semester exam 1, Tue, 12:30pm-2:20pm, February 23, 2016 Mid-semester exam 2, Tue, 12:30pm-2:20pm, March 29, 2016 Mid-semester exam 3, Tue, 12:30pm-2:20pm, April 19, 2016 Final, TBA
3 In case you miss an exam due to an illness, please see the Office of Student Affairs to request a make-up exam. For all other cases, please go to RH303A Office of Freshman Mathematics. You may ONLY use TI-30 calculator on the exams. This is UCSC rule for all the first year courses. For Detail Information visit: http://math.engineering.nyu.edu/courses/ma-uy1154/policy.phtml Mandatory requirement Attending lectures and recitation, completing all worksheets, and demonstrating competency on the exams. Examinations Three exams given during common exam hour, and one comprehensive final exam during the final exam week. Moses Center Statement of Disability If you are student with a disability who is requesting accommodations, please contact New York University s Moses Center for Students with Disabilities (CSD) at 212-998-4980 or mosescsd@nyu.edu. You must be registered with CSD to receive accommodations. Information about the Moses Center can be found at www.nyu.edu/csd. The Moses Center is located at 726 Broadway on the 2nd floor. NYU School of Engineering Policies and Procedures on Academic Misconduct Introduction: The School of Engineering encourages academic excellence in an environment that promotes honesty, integrity, and fairness, and students at the School of Engineering are expected to exhibit those qualities in their academic work. It is through the process of submitting their own work and receiving honest feedback on that work that students may progress academically. Any act of academic dishonesty is seen as an attack upon the School and will not be tolerated. Furthermore, those who
4 A. breach the School s rules on academic integrity will be sanctioned under this Policy. Students are responsible for familiarizing themselves with the School s Policy on Academic Misconduct. B. Definition: Academic dishonesty may include misrepresentation, deception, dishonesty, or any act of falsification committed by a student to influence a grade or other academic evaluation. Academic dishonesty also includes intentionally damaging the academic work of others or assisting other students in acts of dishonesty. Common examples of academically dishonest behavior include, but are not limited to, the following: 1. Cheating: intentionally using or attempting to use unauthorized notes, books, electronic media, or electronic communications in an exam; talking with fellow students or looking at another person s work during an exam; submitting work prepared in advance for an in-class examination; having someone take an exam for you or taking an exam for someone else; violating other rules governing the administration of examinations. 2. Fabrication: including but not limited to, falsifying experimental data and/or citations. 3. Plagiarism: intentionally or knowingly representing the words or ideas of another as one s own in any academic exercise; failure to attribute direct quotations, paraphrases, or borrowed facts or information. 4. Unauthorized collaboration: working together on work that was meant to be done individually. 5. Duplicating work: presenting for grading the same work for more than one project or in more than one class, unless express and prior permission has been received from the course instructor(s) or research adviser involved. 6. Forgery: altering any academic document, including, but not limited to, academic records, admissions materials, or medical excuses.
5 For Information on Tutoring, Workshop and Extra Help Visit: http://math.engineering.nyu.edu/courses/help_center.phtml Class Conduct (1) Self-respect and respect for others (2) No electronic device during lectures (3) No talking during lectures (4) Be on time (5) Come to class prepared
6 Tentative Course Schedule (May change to accommodate student needs) Week I Topics Reading and Comprehension of the Syllabus 2.1 2.4 Review of Differentiation and Differentiation Techniques 3.1 Increasing and Decreasing Functions; Relative Extrema II 3.1 More on Relative Extrema 3.2 Concavity and Points of Inflection 3.4 Optimization III 3.5 Additional Applied Optimization Review For Exam 1 Exam 1 IV V VI 4.1 Exponential Functions 4.2 Logarithmic Functions 4.3 Differentiation of Exponential and Logarithmic Functions 4.4 Additional Applications; Exponential Models Review For Exam 2 Exam 2
7 Week VII Topics 5.1 Antiderivative and Indefinite Integral 5.1 Differential Equations VIII 5.2 Integration By Substitution 5.3 Area Under a Curve and Definite Integral IX 5.3 Definite Integral Review For Exam 3 Exam 3 X 5.4 Applying Definite Integration: (Average Value and its interpretation) XI 5.5 Applications of Integration to Business and Economics (Future and Present Values) XII 5.6 Applications of Integration to the Life and Social Sciences (Population Density, Flow of Blood Through an Artery, Volume of a solid of Revolution) XIII 6.1 Integration by Parts and by Tables Review Cumulative Final