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 1475. 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 1575. Not open to students who have completed MAT 1575 or MAT 2630 or who are currently enrolled in MAT 2630. 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.
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.
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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 1 2 3 4 5 Chapter 0 Getting Started with Maple pages 1-18 (Examples 1-6) P. 35: 1-13 Chapter 0 Getting Started with Maple pages 18-34 (Examples 7-9) P. 36: 15-33 odd, 32 Chapter 1 An Introduction to Maple Commands pages 39-53 (Examples 1-5) Chapter 1 An Introduction to Maple Commands pages 53-62 (Examples 6-8) P. 68: 1-17 odd P. 69: 23-45 odd, Exam 1 Chapter 1 An Introduction to Maple Commands pages 63-67 (Examples 9-10) P. 69: 19, 21, 49, 50, 51 6 Chapter 2 Limits pages 74-81 (Examples 1-4) P. 115: 1-13 odd 7 8 Chapter 2 Limits pages 81-92, 105-114 (Examples 5-8, 14-16) P. 120: 21, 23, 35-39 Exam 2 Chapter 2 Limits pages 92-97 (Examples 9-10) P. 117: 15-21 all, 48, 49 9 Chapter 3 Derivatives pages 125-138 (Examples 1-6) P. 153: 1-15 odd 10 Chapter 3 Derivatives pages 139-145 (Examples 9-11) P. 154: 16, 17-21 odd, 33, 34 11 12 13 14 Chapter 4 Graphs of Functions using Limits and Derivatives pages 158-190 (Examples 1-6) Exam 3 Chapter 4 Graphs of Functions using Limits and Derivatives pages 190-193 (Examples 7-8) Chapter 5 Applications of the Derivative pages 210 (Examples 1-4) Chapter 6 Integration pages 229-253 (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