SOUTHWEST COLLEGE STAFFORD CAMPUS Department of Mathematics Elements of Calculus with Applications SYLLABUS FOR MATH 1325 Math 1325, CRN #81504 Tue Thur:9:30AM 11:00AM SW Hub 221 Spring 2012 INSTRUCTOR Ernest Nwachukwu CONFERENCE HRS 2:30pm 3:30pm CONTACT PHONE # (713) 718 7770 EMAIL ADDRESS Ernest.Nwachukwu@hccs.edu Catalog Description: MATH 1325 Elements of Calculus with Applications. A survey of differential and integral calculus including the study of functions and graphs from a calculus viewpoint as applied to problems in business and the natural and social sciences. Prerequisites: MATH 1314 or equivalent. 3 credit (3 lecture). Prerequisites: MATH 1314 or its equivalent. 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 If I am not notified and your absences exceed 12.5% of the number of classes, you will be administratively withdrawn immediately.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. The final day for withdrawal is April 23, 2008. If a student withdraws after the final day for withdrawal from the class, the student will get an F. Home Work policy: Assignments will given every week but usually will not be collected. For a student to get the best out of this class, it is very important that the student solves problems in the textbook. If a student fails to do assignments, it is not likely that the student will pass the examination. 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. Grading policy: Each of the first four examinations is worth 20%; and the final examination is worth 40% of the final course grade. There will be one week notice before any examination. The final course grade (call it FCG) will be calculated using the formula:- FCG = Average of the best four 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 33 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. Course Intent: The intent of this course is to provide the student certain manipulative skills with limits insofar as they apply to concrete but elementary problems in the social and natural sciences. Mathematical rigor will be kept to a minimum. 2
FINAL GRADE OF FX Students who stop attending class and do not withdraw themselves prior to the withdrawal deadline may either be dropped by their professor for excessive absences or be assigned the final grade of FX at the end of the semester. Students who stop attending classes will receive a grade of FX, compared to an earned grade of F which is due to poor performance. Logging into a DE course without active participation is seen as non-attending. Please note that HCC will not disperse financial aid funding for students who have never attended class. Students who receive financial aid but fail to attend class will be reported to the Department of Education and may have to pay back their aid. A grade of FX is treated exactly the same as a grade of F in terms of GPA, probation, suspension, and satisfactory academic progress EGLS3 -- Evaluation for Greater Learning Student Survey System At Houston Community College, professors believe that thoughtful student feedback is necessary to improve teaching and learning. During a designated time, you will be asked to answer a short online survey of research-based questions related to instruction. The anonymous results of the survey will be made available to your professors and division chairs for continual improvement of instruction. Look for the survey as part of the Houston Community College Student System online near the end of the term. 3
Audience: This course is intended for students majoring in business, and the natural and social sciences. Textbook: MATHEMATICS WITH APPLICATIONS, 9 th Edition. Lial & Hungerford. Publisher: Eddison Wesley Student Learning Outcomes 1. Find limits of functions and determine continuity of functions. 2. Find derivatives of algebraic, logarithmic, and exponential functions, and use derivatives to solve applied problems and produce graphs. 3. Find integrals, either approximate and exact, of some algebraic and exponential functions, and use integrals to solve applied problems. 4. Find partial derivatives of multidimensional functions, and use partial derivatives to solve applied problems and produce graphs. Course Objectives 1.1 Find the limit of a function as x approaches a. 1.2 Find the average and instantaneous rate of change. 1.3 Use a limit to find the derivative of a function. 1.4 Tell if a function is continuous at given values of x. 2.1 Use the quotient rule to find the derivative of a function. 2.2 Use the power rule to find the derivative of a function. 2.3 Find the derivative of exponential and logarithmic functions. 2.4 Find the absolute extrema of a given function. 2.5 Use the second derivative to find all relative extrema for a function. 2.6 Use derivatives for various applications and sketching of curves. 3.1 Find antiderivatives for indefinite integrals and find indefinite integrals using substitution. 3.2 Given a definite integral, find the area under the curve. 3.3 Evaluate the results of a summation. 3.4 Using the fundamental theorem of calculus, evaluate definite integrals. 3.5 Apply definite integrals for various applications and use the table of integrals to find antiderivatives. 3.6 Find general solutions for given differential equations. 4.1 Graph the first octant portion of a given plane. 4.2 Given a function f(x,y), find all second-order partial derivatives. 4.3 Given a function f(x,y), find the values of any relative extrema and identify saddle points. APPROXIMATE TIME TEXT REFERENCE 4
Algebra Review (6 hours) 1/2 hour Course introduction 1/2 hour 1.3 Factoring 1 hour 2.3 Linear Models 1 hour 3.7 Rational Functions 1 hour 4.1 Exponential Functions 1 hour 4.3 Logarithmic Functions Differential Calculus (10 hours) 1 hour 11.1 Limits 1 hour 11.2 Rates of Change 1 hour 11.3 Tangent Lines and Derivatives 11/2 hours 11.4 Techniques for Finding Derivatives 11/2 hours 11.5 Derivatives of Products and Quotients 1 hour 11.6 The Chain Rule 1 hour 11.7 Derivatives of Exponential and Logarithmic Functions 1 hour 11.8 Continuity and Differentiability Applications of the Derivative (9 hours) 2 hours 12.1 Derivatives and Graphs 2 hours 12.2 The Second Derivative 2 hours 12.3 Optimization Applications 2 hours 12.4 Curve Sketching Integral Calculus (13 hours) 2 hours 13.1 Antiderivatives 2 hours 13.2 Integration by Substitution 2 hours 13.3 Area and the Definite Integral 2 hours 13.4 The Fundamental Theorem of Calculus 2 hours 13.5 Applications of Integrals 2 hours 13.7 Differential Equations Multivariate Calculus (7 hours) 2 hours 14.1 Functions of Several Variables 2 hours 14.2 Partial Derivatives 2 hours 14.3 Extrema of Functions of Several Variables This chapter begins with functions of several variables. It concludes with sections covering partial derivatives and extrema of functions of several variables. Resource Materials: Any student enrolled in Math 1325 at HCCS has access to the Academic Support Center where they may get additional help in understanding the theory 5
or in improving their skills. The Center is staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and computer-assisted drills. Also available is a student s Solutions manual which may be obtained from the Bookstore. Americans With Disabilities Act (ADA): Persons needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible. 6