NEW YORK CITY COLLEGE OF TECHNOLOGY of the City University of New York

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1 NEW YORK CITY COLLEGE OF TECHNOLOGY of the City University of New York DEPARTMENT: COURSE: TITLE: DESCRIPTION: TEXT: Mathematics MAT 1476L Calculus Laboratory Through computer projects, students will apply and reinforce concepts and skills learned in MAT Visualizing Calculus by way of Maple TM : An Emphasis on Problem Solving A. Taraporevala, N. Benakli, S. Singh McGraw-Hill CREDIT: COREQUISITES: 1 (2 lab hours) MAT 1475 or MAT Not open to students who have completed MAT 1575 or MAT 2630 or who are currently enrolled in MAT Prepared by Professor Arnavaz Taraporevala (Spring 2011) A. Testing Guidelines: The following exams should be scheduled: 1. Three 30 minute exams. 2. A take home Final Examination.

2 Course Intended Learning Outcomes/Assessment Methods Learning Outcomes 1. Plot functions (continuous, discontinuous and implicit), identify their domain, range, asymptotes, maxima, minima, inflection points and concavity. Evaluate and perform algebraic manipulations of functions such as the difference quotient. Find the derivatives and anti-derivatives of functions. Find the roots of functions. 2. Use graphical, tabular and algebraic methods to evaluate limits of expressions. 3. Generate and find the sums of various sequences. Students will gain an appreciation of some of the limitations of the computer algebra system due to restrictions of memory and truncation errors. 4. Extend the techniques of sums of sequences to evaluate Riemann sums. Assessment Methods General Education Learning Outcomes/Assessment Methods Learning Outcomes Assessment Methods 1. Gather, interpret, evaluate, and apply information discerningly from a variety of sources. 2. Understand and employ both quantitative and qualitative analysis to solve problems. 3. Employ scientific reasoning and logical thinking. 4. Communicate effectively using written and oral means. 5. Work with teams. Build consensus and use Classroom activities and discussion. creativity. 6. Acquire tools for lifelong learning.

3 New York City College of Technology Policy on Academic Integrity Students and all others who work with information, ideas, texts, images, music, inventions, and other intellectual property owe their audience and sources accuracy and honesty in using, crediting, and citing sources. As a community of intellectual and professional workers, the College recognizes its responsibility for providing instruction in information literacy and academic integrity, offering models of good practice, and responding vigilantly and appropriately to infractions of academic integrity. Accordingly, academic dishonesty is prohibited in The City University of New York and at New York City College of Technology and is punishable by penalties, including failing grades, suspension, and expulsion. The complete text of the College policy on Academic Integrity may be found in the catalog.

4 MAT 1476L Calculus Laboratory Visualizing Calculus by Way of Maple TM : An Emphasis on Problem Solving by A. Taraporevala, N. Benakli, S. Singh Lab Session Calculus Laboratory Homework Chapter 0 Getting Started with Maple pages 1-18 (Examples 1-6) P. 35: 1-13 Chapter 0 Getting Started with Maple pages (Examples 7-9) P. 36: odd, 32 Chapter 1 An Introduction to Maple Commands pages (Examples 1-5) Chapter 1 An Introduction to Maple Commands pages (Examples 6-8) P. 68: 1-17 odd P. 69: odd, Exam 1 Chapter 1 An Introduction to Maple Commands pages (Examples 9-10) P. 69: 19, 21, 49, 50, 51 6 Chapter 2 Limits pages (Examples 1-4) P. 115: 1-13 odd 7 8 Chapter 2 Limits pages 81-92, (Examples 5-8, 14-16) P. 120: 21, 23, Exam 2 Chapter 2 Limits pages (Examples 9-10) P. 117: all, 48, 49 9 Chapter 3 Derivatives pages (Examples 1-6) P. 153: 1-15 odd 10 Chapter 3 Derivatives pages (Examples 9-11) P. 154: 16, odd, 33, Chapter 4 Graphs of Functions using Limits and Derivatives pages (Examples 1-6) Exam 3 Chapter 4 Graphs of Functions using Limits and Derivatives pages (Examples 7-8) Chapter 5 Applications of the Derivative pages 210 (Examples 1-4) Chapter 6 Integration pages (Examples 1-5) Hand-in Final Examination given to students 15 Student presentation and Final Examination handed in P. 194: 1-13 odd P. 196: 15, 17, 19, 22, 23 P. 221: 1-15 odd P. 254: 1-17 odd, 16

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N NEW YORK CITY COLLEGE OF TECHNOLOGY The City University of New York School of Arts & Sciences Department of Social Science Course Outline

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