Revised 05-31-12 SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2413: Calculus I CRN: 31292 Fall 2014: Tues-Thurs: 7:00PM – 9:30PM INSTRUCTOR: Ernest Nwachukwu CONTACT INFORMATION: OFFICE HOUR: Ernest.Nwachukwu@hccs.edu 2:30pm -3:30pm Webassign Class Key: hccs 61048281 Attendance policy: Students are expected to attend classes regularly. If some special situation arises, which calls for your missing classes, then please keep me informed. If I am not notified and your absences exceed 12.5% of the number of classes, you will be administratively withdrawn immediately. Tardiness (lateness to class) policy: Every student is expected to be in class on time. If a student is late on the examination day, the student will not be given extra time. Withdrawal policy: Any student who is contemplating withdrawing from the class is encouraged to do so on or before the final day for withdrawal as specified in the class schedule. If a student withdraws after the final day for withdrawal from the class, the student will get “F”. Home Work policy: Home work assignment will be given every week. For a student to get the best out of this class, it is very important that the student solves problems in the textbook. Exam Policy: Cheating is not allowed in the examination. If a student is caught cheating in an examination, the student will lose all the marks for that examination. College policies on cheating will be enforced. These are clearly outlined in the HCCS Student Handbook. Make-up policy: There will be no make-up of any test. An exception to this can be allowed if there is a case of medical emergency and with a valid proof. There will be no make-up of the final examination. 1 Grading policy: There will be four examinations, online homework which is regarded as a test and the final examination which counts double. The final course grade (call it FCG) will be calculated using the formula:FCG = Average of the best six grades (final counting double). Letter grade will be assigned to the FCG. Grade legend: 90% - 100% - A, 80% - 89% - B, 70% - 79% - C, 60% - 69% - D, below 60% - F. Final Examination: The final examination consists of 25 multiple-choice problems. The problems cover only the material required in this course. Americans With Disabilities Act (ADA): Students with Disabilities: Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester. BEGINNING OF SEMESTER ADVISEMENT Students are advised about the pre-requisites for the above class and how they are related to their major and the next class to take in mathematics. “Students who repeat a course for a third time or more may soon face significant tuition/fee increases at HCC and other Texas public colleges and universities. Please ask your instructor/counselor about opportunities for tutoring or other assistance prior to considering course withdrawal or if you are not receiving passing grades." END OF SEMESTER ADVISEMENT Students are advised on the future courses in mathematics and how they are related to their majors. All questions were answered. Catalog Description: Calculus I. An integrated study of differential calculus with analytic geometry including the study of functions, limits, continuity, differentiation, and an introduction to integration. Prerequisite: MATH 2412 or consent of the Department Head. 4 credit (4 lecture). Prerequisites: Math 2412: Pass with a “C” or better, or consent of the Department Head. Course Intent: This course provides the background in mathematics for sciences or further study in mathematics and its applications. Audience: This course is a freshman level mathematics course which requires a background consisting of Math 2412. 2 Course Objectives: Upon completion of this course, a student should be able to: 1. Describe the basic concepts of mathematical functions and the various types of functions, which exist. 2. Demonstrate knowledge of the concept of the limit of a function at a point and the properties such limits possess. 3. Demonstrate knowledge of the idea of continuity of a function 4. Differentiate various types of mathematical functions and know the meaning of the various orders of the derivatives including applications. 5. Recognize the discontinuity points of certain types of elementary functions. 6. Differentiate the trigonometric functions with applications. 7. Use calculus to sketch the curves of certain types of elementary functions Textbook: Calculus, by Larson, Hostetler, and Edwards, Tenth Edition. Houghton Mifflin Company Course Outline: Instructors may find it preferable to cover the course topics in the order listed below. However, the instructor may choose to organize topics in any order, but all material must be covered. APPROXIMATE TIME TEXT REFERENCE Prerequisites – Pre-calculus Review and Functions P.3 (Optional - no more than 4 hours) Sections: P.1, P.2, These chapters provide an optional Pre-calculus review including real numbers, the Cartesian coordinate plane, functions, graphing, modeling, and trigonometry. The instructor may choose to review any or all of this material before beginning chapter 1. All of this material may be omitted if desired. Unit I - Limits and Their Properties (10 Hours) Sections: 1.1, 1.2, 1.3, 1.4, 1.5 This unit presents the concept of limits and how it relates to Calculus. The instructor should present the formal definitions of the limit and continuity and discuss the characteristics of a continuous function. Graphical and analytical methods of evaluating limits, including one-sided limits and limits at infinity should be emphasized as well. Unit 2 - Differentiation (12 Hours) Sections: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6 3 This unit presents an introduction to differentiation. The instructor should emphasize the derivative and the tangent line problem, basic differentiation rules and rates of change, the product and quotient rules, higher-order derivatives, and the chain rule. This unit concludes with implicit differentiation and related rates. Unit 3 - Applications of Differentiation (18 Hours) Sections: 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9 This unit includes the various applications of differentiation. The instructor should emphasize extrema on an interval, Rolle’s Theorem and the Mean Value Theorem, increasing and decreasing functions, and the first derivative test, concavity and the second derivative test, limits at infinity, a summary of curve sketching, optimization problems, and Newton’s Method. This unit concludes with differentials and linear approximations. Unit 4 - Integration (16 Hours) Sections: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6 This unit includes the basic concepts of integration. The instructor should emphasize anti-derivatives and indefinite integration, area, Riemann Sums and definite integrals, the fundamental theorems of calculus, and integration by substitution. This unit concludes with numerical integration methods. 4