# Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall Phone:

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1 Course Name: Elementary Calculus Course Number: Math 2103 Semester: Fall 2011 Instructor s Name: Ricky Streight Hours Credit: 3 Phone: COURSE: Math 2103 ELEMENTARY CALCULUS Fall COURSE DESCRIPTION: Prerequisites: 1513 (College Algebra). Introduction to differential and integral calculus. For students of business and social sciences. 3. TEXT: Essential Calculus, by Wright, Hurd, and New Hawkes Learning, 2 nd Edition, 2008 ISBN: Student Hardcover: Student Bundle: COURSE OBJECTIVES: After completion of the course the student should be able to: A. State intuitively the meaning of limit and continuity. B. Evaluate the limit of a sum, product, quotient and composite of two or more functions. C. Calculate the derivative using the definition of derivative. D. Apply the basic rules to find the derivative of a sum, product and quotient, and apply the Chain Rule for differentiation. E. Differentiate implicitly. F. State and apply the First Derivative Test. G. Analyze functions with respect to critical points, increasing, decreasing, maximum values, minimum values, and sketch the graph of the function. H. State and apply the Second Derivative Test, and give information about the graph of a given function. I. Calculate the differential. J. Define what is meant by an antiderivative. K. Use the fundamental properties of a Definite Integral. L. Find the indefinite integral and the value of the definite integral. M. Find the Area bounded by two or more curves in a plane. N. Apply the rules of integration and differentiation to determine the solution to application problems (annuities, average value, surplus, marginal analysis, average cost/profit, interest, depreciation, demand equations, etc.,) 1

2 5. COURSE REQUIREMENTS AND INFORMATION: A. Prerequisites: 1513 (College Algebra). B. Special Information: Methods of instruction include discussion of homework, lecture on new material, class participation and use of the computer program MyMathLab that accompanies your textbook. You will be given a homework assignment each class period. Keeping up with these assignments is the key to success in this course. It is recommended that you read the text and review your class notes before you work on the assigned problems, both from the textbook and online homework. You are expected to study six to eight hours each week in addition to the classroom time. Free tutoring will be available for all math students during the regular and summer semesters. Your instructor will announce the time and place for these sessions when tutors' schedule at the Learning Center has been determined. C. Withdrawal and Incomplete Grades: Withdrawal: Any student may drop, withdraw, or change to audit on or before the end of the 12th week of classes. This must be processed through the Admissions Office and does not require the instructor's approval. All students remaining on the class roll after the 12th week of classes will receive a letter grade. ADMINISTRATIVE WITHDRAWAL POLICY: With department/division approval, faculty may choose to AW (administratively withdraw) a student who meets one or more of the following criteria: 1. has never attended class by the end of the first three weeks (the first two weeks for an eight-week course) of classes; 2. has consecutively missed 25 percent of the class meetings for a course; or 3. for other reasons considered by the faculty to be special circumstances. Students should not be given an AW who miss class intermittently. The specific guideline (1-3 above) that justifies an AW must be noted on the AW form; complete instructions for administrative withdrawal and the full AW policy are printed on the back of each Administrative Withdrawal form. 2

3 Incomplete: The incomplete grade "I" may not be used as a substitute for a failing grade. The "I" may be given only to a student who has completed more than 70% of the course work, is passing, has a valid excuse for being unable to complete the course, and has the instructor's approval. An "Agreement for Incomplete Grade" form must be completed and signed by the student and the instructor. The contract will specify the time limits and the exact requirements for completing the course. One copy of the contract is retained by the student, one by the instructor, one by the Division, and one by the Registrar's Office. 6. EVALUATION: Lessons: = 20% Test #1 (Online Exam) = 25% Test #2 (Online Exam) = 25% Final = 30% 100% Grading scale: Letter Grade 90% - 100% A 80% - 89% B 70% - 79% C 60% - 69% D 0% - 59% F 3

4 7. TESTING CENTER RULES: Academic Affairs has requested the following guidelines be met. (NOTE: The phone number of the Assessment Center is ) NO ADMISSION WITHOUT PHOTO IDENTIFICATION ON ALL TESTS. ADA students needing services must call to schedule the exam. No cellular telephones or pagers allowed in center. No Children. 8. ACADEMIC DISHONESTY OR MISCONDUCT: Academic dishonesty or misconduct is not condoned nor tolerated at institutions within the Oklahoma State University system. Academic dishonesty is behavior in which a deliberately fraudulent misrepresentation is employed in an attempt to gain undeserved intellectual credit, either for oneself or for another. Academic misconduct is behavior that results in intellectual advantage obtained by violating specific standards, but without deliberate intent or use of fraudulent means. Academic dishonesty or misconduct cases are governed by the OSU-OKC Campus Student Rights and Responsibilities Code. An electronic version of the Student Rights and Responsibilities is available online at 9. AMERICANS WITH DISABILITIES ACT STATEMENT: OSU-OKC complies with Section 504 of the Rehabilitation Act and the Americans with Disabilities Act. If any member of this class feels that he/she has a disability and needs special accommodations of any nature whatsoever, please request special accommodations by contacting the Office of Services to Students with Disabilities, located on the first floor of the Student Center, Office 112, or call All accommodations must be approved by the Services to Students with Disabilities Office. 10. Electronic Device Policy: Cell phones and other electronic devices are disruptive to the class. If a student s work or family situation requires the student to keep the device turned on during class, the student must turn the phone to a silent or vibrate mode. If a student must receive a call during class, the student will leave the room. A student may not make a call during class. Cell phones and all electronic devices may not be used during an exam unless stipulated by an instructor. Use of a cell phone or electronic device during an exam is considered academic misconduct, and the student will be subject to the appropriate penalties. This policy may be strengthened by the instructor. 4

5 Graphing calculators are considered electronic devices. Calculators with built-in Computer Algebra Systems (CAS) are not allowed in any math class. Prohibited calculators in this category include: Casio: model numbers that begin with CFX-9970G Texas Instruments: model numbers that begin with TI-89, TI-92 or TI-Nspire Hewlett-Packard: HP 48GII and model numbers that begin with HP 40G or HP 49G This policy may be strengthened by the instructor. 11. Unattended Children Policy: For personal safety of children and potential problems in supervision, children should not be at any location on campus without adult supervision. No children are permitted in classrooms, laboratories, teaching areas or the Library. OSU-OKC Catalog, pg INSTITUTIONAL STATEMENT AND SYLLABUS MODIFICATION STATEMENT: Each student is responsible for being aware of the information contained in the OSU- OKC Catalog, Student Handbook and the semester information listed in the Class Schedule. SYLLABUS MODIFICATION STATEMENT: Faculty has the right to change or modify the course syllabus materials during the academic year. Any changes will be shared with students. Every attempt will be made to provide those changes in writing. 13. GENERAL EDUCATION GOAL STATEMENT: Upon completion of the General Education Curriculum, students should be proficient in demonstrating the following competencies: Goal #1: Critical Thinking: Critical thinking skills include, but are not limited to, the ability to comprehend complex ideas, data, and concepts; to make inferences based on careful observation; to make judgments based on specific and appropriate criteria; to solve problems using specific processes and techniques; to recognize relationships among the arts, culture, and society; to develop new ideas by synthesizing related and/or fragmented information; to apply knowledge and understanding to different contexts, situations, and/or specific endeavors; and to recognize the need to acquire new information. 5

6 *All courses will contain assignments that demonstrate critical thinking, but not all courses will include all listed critical thinking elements. Goal #2: Effective Communications Effective communication is the ability to develop organized, coherent, unified written or oral presentations for various audiences and situations. Goal #3: Computer Proficiency Computer proficiency includes a basic knowledge of operating systems, word processing, and Internet research capabilities. Goal #4: Civic Responsibility Preparation for civic responsibility in the democratic society of the United States includes acquiring knowledge of the social, political, economic, and historical structures of the nation in order to function effectively as citizens in a country that is increasingly diverse and multicultural in its population and more global in its view and functions. Goal #5: Global Awareness Global awareness includes knowledge of the geography, history, cultures, values, ecologies, languages, and present day issues of different peoples and countries, as well as an understanding of the global economic, political and technological forces which define the interconnectedness and shape the lives of the world s citizens 14. GLOBAL EDUCATION MISSION: Global Education is an institutional commitment to providing learning environments that provide a cross-cultural global perspective through all facets of the educational process. This institutional commitment to Global Education shall manifest itself throughout the entire institution, providing support for diversity, international, and inter-cultural educational opportunities. These opportunities will be institutionalized through curricular and co-curricular activities. This institutional commitment to Global Education will assist OSU-OKC in accomplishing its mission of preparing students for an increasingly technological and global society. 6

7 15. COURSE OUTLINE AND TENTATIVE SCHEDULE: Due Date Lesson Name 08/28/ Lines and Their Graphs 08/28/ a An Introduction to Functions 08/28/ b Operations with Functions 08/28/ Functions and Their Graphs: A Calculator Section 08/28/ Functions and Models 09/04/ a Left and Right-Hand Limits 09/04/ b Limits 09/04/ a Average Rate of Change 09/04/ b Instantaneous Rate of Change and Interpreting Graphs 09/14/ a Definition of the Derivative and Power Rule 09/14/ b Slope and Rate of Change Considered Algebraically 09/14/ Applications: Marginal Analysis 09/18/ a More About Limits 09/18/ b More about Continuity Test 1 09/25/ Product and Quotient Rules 09/25/ The Chain Rule and the General Power Rule 10/02/ Implicit Differentiation and Related Rates 10/02/ a Local Extrema 10/09/ b Critical Points and the First Derivative Test 10/09/ Absolute Maximum and Minimum 10/16/ a Higher Order Derivatives and Concavity 10/16/ b Higher Order Derivatives: the Second Derivative Test 10/16/ Curve Sketching: Polynomial Functions 7

8 10/16/ Curve Sketching: Rational Functions 10/23/ Business Applications 10/23/ Other Applications 10/23/ Differentials Test 2 10/30/ Exponential Functions 10/30/ The Algebra of the Natural Logarithm Function 10/30/ Differentiation of Logarithmic Functions 10/30/ Differentiation of Exponential Functions 11/06/ a Applications of Exponential Functions: Growth and Decay 11/06/ b Logarithmic Differentiation and Elasticity of Demand 11/13/ The Indefinite Integral 11/13/ Integration by Substitution 11/20/ a The Fundamental Theorem of Calculus 11/20/ b The Definite Integral 12/04/ Area (with Applications) 12/04/ Area Between Two Curves (with Applications) Final (Test 3) Fall

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