See Course and Program Development Policy and Procedures ( for instructions. 1 PHONE: Ix1925 ~~ ~

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1 db Document N: Course and Program Development: IMPACT AND APPROVAL SIGNATURES See Course and Program Development Policy and Procedures ( for instructions. SCHOOL: o LAW OMSB o CAS o CPA CONTACT NAME: IGargi Bhattacharyya 1 PHONE: Ix1925 ~~ ~ DEPARTMENT/DIVISION: IDivision of Science, Information Arts and Technologies DATE PREPARED: 13/28/12 PROPOSED SEMESTER OF IMPLEMENTATION: o fall o spring YEAR:] 2013 TYPE OF ACTION: add (new) o deactivate o modify o other LEVEL OF ACTION: o noncredit undergraduate o graduate o other ACTION BEING REQUESTED (select one category, either Course Actions or Program Actions): o COURSE ACTIONS o PROGRAM ACTIONS Original Subject Code/Course Number: Original Program Title: IMATH 201 Original Course Title: [calculus I... Select one or multiple actions from one of the lists below (review the list ofnecessarv documents and signatures);..,. 1. Experimental Course 2. Course Title 3. Course Credits 4. Course Number 5. Course Level 6. Pre- and Co-Requisite 7. Course Description./ 8. New Course 9. Deactivate Course 22. Other ". 10. Program Requirements 11a. Undergraduate Specialization (24 credits or fewer) 11b. Master's Specialization (12 credits orfewer) 11c. Doctoral Specialization (18 credits or fewer) 12. Minor (add or delete) 13. Closed Site Program 14. Program Suspension 15. Program Reactivation 16a. Certificate Program (UG/G) exclusively within existing degree program 16b. Certificate Program (UG/G) outside of or across degree programs (12 or more credits) 17. Off-Campus Delivery of Existing Programs 18a. Undergraduate Concentration (exceeds 24 credits) 18b. Master's Concentration (exceeds 12 credits) 18c. Doctoral Concentration (exceeds 18 credits) 19. Program Title Change 20. Program Termination 21. New Degree Program 22. Other ADDITIONAL DOCUMENTATION (check all appropriate boxes of documents included; review the list ofnecessarv documents): iji summary proposal (0) IZI course definition document (P) CJ full five-page MHEC proposal (Q) CJ financial tables (MHEC) (R) CJ other documents as may be required by MHEC/USM (5) CJ other (T) Summer

2 IMPACT REVIEW (review the list ofnecessarv signaturesl: a. Library o no impact b.ots o no impact 0 impact statement attached 0 impact statement attached c. University Relations o no impact 0 impact statement attached d. Admissions o no impact 0 impact statement attached e. Records o no impact 0 impact statement attached APPROVAL SEQUENCE (review the list ofnecessarv signaturesl: B. General Education (for No.7, 8) C. Final Faculty Review Body Within Each (Chair) D. Dean E. University Faculty Senate (Chair) F. University Council (Chair)! G. Provost and Senior Vice President for Academic Affairs H. President I. Board of Regents (notification only) J. Board of Regents (approval) K. MHEC (notification only) L. MHEC (approval) M. Middle States Association notification Required only if the University's mission is changed by the action! University Council review (for recommendation to the president or back to the provost) shall be limited to curricular or afademic policy issues that may potentially affect the University's mission and strategic planning, or have a significant impact on the generation dr allocation of its financial resources. Summer

3 Ub Document 0: Course and Program Development: SUMMARV PROPOSAL See Course and Program Development Policy and Procedures ( for instructions. SCHOOL: o LAW OMSB o CAS OCPA CONTACT NAME: IGargi Bhattacharyya I PHONE:!;.;.IX1;;;,;;;9..;;;,;25;; l DEPARTMENT/DIVISION: IDivision of Science, Information Arts and Technologies PROPOSED SEMESTER OF IMPLEMENTATION: o fall o spring ACTION BEING REQUESTED (select one category, either Course Actions or Program Actions): o COURSE ACTIONS Original Subject Code/Course Number: o PROGRAM ACTIONS Original Program Title: 1MATH 201 Original Course Title: Calculus I Select one or multiple actions from one ofthe lists below (review the list ot necess...rv gocu",,,,,,...ug s,gu...t... es~ 1. Experimental Course 2. Cou rse Title 3. Course Credits 4. Course Number 20. Program Termination 21. New Degree Program 22. Other For changes ta existing courses: OLDTITLE I ~==========================~ NEW TITLE L.I ---I SUBJECT CODE/COURSE NO. ~ CREDITS I SUBJECT CODE/COURSE NO. ~ CREDITS I Summer

4 DESCRIBE THE REQUESTED COURSE/PROGRAM ACTION (additional pages may be attached if necessary): MATH 201 Calculus I gives students majoring in Applied Information Technology Program the fund~mentajs qt Mathematics required to successfully complete the technology courses. It will also be an essential course in all stience mai4)rs that the university develops... SET FORTH THE RATIONALE FOR THIS PROPOSAL: MATH 201 will be a required course for students in the expanded Applied Information Technolog~ Program. lit will give our students the strong mathematical background essential for a successful career in Information Tec~nology. Summer

5 ub DOCUMENT P: COURSE DEFI NITION See Course and Program Development Policy and Procedures ( for instructions. 1. DATE PREPARED 3/28/ PREPARED BY Gargi Bhattacharyya 3. DEPARTMENT/DIVISION Division of Science, Information Arts and Technologies 4. COURSE NUMBER(S) with SUBJECT CODE(S) MATH COURSE TITLE Calculus I 6. CREDIT HOURS 3 7. CATALOG DESCRIPTION Introduction to calculus, including limits, continuity, derivatives, applications of the derivative, arid introduction to integral calculus. 8. PREREQUISITES College Algebra MATH 111 or its equivalent 9. COURSE PURPOSE (how the course is to be used in the wrriculum; e.g., required for the major, elective, ~tc.) Course is a major requirement for the expanded Applied Information Technology Program 10. GENERAL EDUCATION AREA (if applicable; e.g., social sciences, humanities, mathematics, etc.) Not Applicable 11. COURSE TYPE/COMPONENT (clinical, continuance, discu1ssion, field studies, independent study, laboratdry, lecture,lpracticum, research, seminar, supervision, thesis research, tutorial or workshop; this must match PeopleSoft 9.0 coding, so check with yourl dean's office if you are unsure of the correct entry) Summer 2010

6 lecture 12. FACULTV QUALIFIED TO TEACH COURSE Gargi Bhattacharyya, Cecelia Brown Wright 13. CONTENT OUTLINE (1) Limits Use graphical and numerical evidence to estimate limits and identify situations where limits fail to exist. Apply rules to calculate limits. Use the limit concept to determine where a function is continuous. (2) Derivatives Use the limit definition to calculate a derivative, or to determine when a derivative fails to exist. Calculate derivatives (of first and higher orders) with pencil and paper, without calculator or computer algeb~a software, using: o Linearity of the derivative; o Rules for products and quotients and the Chain Rule; o Rules for constants, powers, trigonometric and inverse trignometric functions, and for logarithms and exponentials. Use the derivative to find tangent lines to curves. Calculate derivatives of functions defined implicitly. Interpret the derivative as a rate of change. Solve problems involving rates of change of variables subject to a functional relationship. (3) Applications of the Derivative Find critical points, and use them to locate maxima and minima. Use critical points and signs of first and second derivatives to sketch graphs of functions: o Use the first derivative to find intervals where a function is increasing or decreasing. o Use the second derivative to determine concavity and find inflection points. o Apply the first and second derivative tests to classify critical points. Use Differential Calculus to solve optimization problems. (4) The Integral Find antiderivatives of functions; apply antiderivatives to solve separable first-order differential equations. Use the definition to calculate a definite integral as a limit of approximating sums. Apply the Fundamental Theorem of Calculus to evaluate definite integrals and to differentiate functions defined as integrals. Calculate elementary integrals with pencil and paper, without calculator or computer algebra software, using: o Linearity of the integral; o Rules for powers (including exponent -1) and exponentials, the six trigonometric functions and the inverse sine, tangent and secant; o Simple substitution. Summer 2010

7 14. LEARNING GOALS Upon completion of the course students will be able to (1) Compute limits: Use graphical and numerical evidence to estimate limits and identify situations where limits fail to exist. (2)Compute Derivatives: Use the limit definition to calculate a derivative, or to determine when a derivative fails to exist, calculate derivatives (offirst and higher orders) with pencil and paper, without calculator or computer algebra software, using Linearity of the derivative; Rules for products and quotients and the Chain Rule; Rules for constants, powers, trigonometric Ollnd inverse trigonometric functions, and for logarithms and exponentials. Use the derivative to find tangent lines to curves. Calculate derivatives of functions defined implicitly. Interpret the derivative as a rate of change, Solve problems involving rates of change of variables subject to a functional relationship. (3) Do problems on Applications of the Derivative: Find critical points, and use them to locate maxima and minima. Use critical points and signs of first and second derivatives to sketch graphs of functions: Use the first derivative to find intervals where a function is increasing or decreasing., use the second derivative to determine concavity and find inflection points, apply the first and second derivative tests to classify critical points, use Differential Calculus to solve optimization problems. (3) Compute Integrals: Find antiderivatives of functions; apply antiderivatives to solve separable first-order differential equations, use the definition to calculate a definite integral as a limit of approximating sums, apply the Fundamental Theorem of Calculus to evaluate definite integrals and to differentiate functions defined as integrals, calculate elementary integrals with pencil and paper, without calculator or computer algebra software, using: linearity of the integral; Rules for powers (including exponent -1) and exponentials, the six trigonometric functions and the inverse sine, tangent and secant; Simple substitution. 15. ASSESSMENT STRATEGIES Appropriate methods ofstudent assessment include short quizzes, exams, essays, term papers, class presentation and individual or group research projects. 16. SUGGESTED TEXT(S) and MATERIALS (e.g. textbooks, equipment, software, etc., that students must purchase) (1) Calculus, 9th Edition by Varberg, Purcell, Rigdon, Copyright: 2007 Publisher: Prentice Hall Author: Varberg, Purcell, Rigdon (2) Calculus Early Transcendental By James Stewart ISBN 10: / ISBN 13: Publisher: Brooks/Cole Pub Co Publication Date: 2007 Summer 2010

8 17. SPECIAL GRADING OPTIONS (if applicable) 18. SUGGESTED CLASS SIZE LAB FEES (if applicable) Not Applicable Summer 2010

Math 181, Calculus I

Math 181, Calculus I [Semester] [Class meeting days/times] [Location] INSTRUCTOR INFORMATION: Name: Office location: Office hours: Mailbox: Phone: Email: Required Material and Access: Textbook: Stewart,