SOUTHWEST COLLEGE Department of Mathematics

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1 SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 1325: Business Calculus Spring 2016, CRN / T-Th 1pm-2:30pm / Stafford Learning HUB 220 Final Exam: Tuesday, 10, 2016, 1pm-2:45pm My MathLab ID: sengele26302 Text: Mathematics with Applications 10/e, Lial, Margaret, ISBN-13: INSTRUCTOR: CONTACT INFORMATION: Suzanne Sengele suzanne.sengele@hccs.edu math office: Contact Information Please feel free to contact me concerning any problems that you are experiencing in this course. You do not need to wait until you have received a poor grade before asking for my assistance. Your performance in my class is very important to me. I am available to hear your concerns and to discuss course topics before or after class. Please use the address to contact me, and I will try to answer as quickly as I can. Phone messages to the math department are forwarded to me via the Internet. Feel free to me directly because you will get faster service. 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 the equivalent. Credits:3 credit hours (3 lectures). 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. Audience: This course is intended for students majoring in business, and the natural and social sciences. Textbook: Mathematics with Applications 10/e Lial, Margaret Hungerford, Thomas Holcomb, John Textbook ISBN-10: Textbook ISBN-13: Publisher: Addison Wesley/Benjamin Cummings

2 Course Objectives & Student Learning Outcomes: At the completion of this course, a student should be able to: Student Learning Outcomes Course Objectives Find limits of functions and determine 1.1 Find the limit of a function as x approaches a. continuity of functions 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.Find derivatives of algebraic, 2.1 Use the quotient rule to find the derivative of a logarithmic, and exponential functions, function. and use derivatives to solve applied problems and produce graphs. 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 Find integrals, either approximate or 3.1 Find antiderivatives for indefinite integrals and exact, of some algebraic and exponential functions, find indefinite integrals using substitution. and use integrals to solve applied problems. 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 Find partial derivatives of multi-dimensional 4.1 Graph the first octant portion of a given plane. functions, and use partial derivatives to solve 4.2 Given a function f(x,y), find all second-order applied problems and produce graphs. partial derivatives. 4.3 Given a function f(x,y), find the values of any relative extrema and identify saddle points Instructional Methods As an instructor, I want my students to be successful. I feel that it is my responsibility to provide you with knowledge concerning the field of mathematics, modeling good analytical problem solving strategies, and organizing and monitoring the success of each student with homework that allows you to connect the information that you learn in this course to applications in other course work and life in the real world.

3 As a student wanting to learn about the field of mathematics, it is your responsibility to read the textbook, submit assignments on the due dates, study for the exams, participate in classroom activities, attend class, and enjoy yourself while experiencing the real world of mathematics. As I believe that engaging the students in the learning is essential for teaching to be effective, you will spend a portion of class time involved in problem solving activities. You will be involved in discussions with your classmates and your instructor. Since you will want to contribute to these discussions, you will need to come to class prepared to take notes, solve problems, answer questions, analyze and evaluate information for each problem set assigned. Math is not a spectator sport. It is action packed, and you are performing the action. Student Assignments Assignments have been developed that will enhance your learning. To better understand a topic, you will be given assignments on key information that you will need to remember for your success in your career. Students will be required to successfully complete the following. Numerous problems sets will be worked in class and at home. Online My MathLab will have assignments to be completed for a grade. Exam Policy: There will be 3 major exams and a final exam. All regular exams will be graded and returned to students within a week. If you perform below your expectations or fail any test, please set-up a conference with the instructor as soon as possible. Make-up Work No exam should ever be missed. Period. If you miss an exam for any reason, the final will count twice. This option can be used only ONCE. An F will be assigned for any other missed test. No excuses. If you signed up for this time period for class, you should have no excuse for missing an exam. The homework papers are due the day of the Chapter Test for full credit. If it is late one class period, there will be a 10-point reduction in grade. None will be accepted after one class period late. You will be responsible for knowing what is going on in class by coming every day. If you miss, call a classmate for information. I cannot keep up with your individual assignments when you miss class. It is up to you. YOU ARE RESPONSIBLE. Final Examination: The final examination consists of 33 or more multiple-choice problems. The problems cover all the material required in the course. You are responsible for locating your final exam date and NOT MISSING YOUR FINAL EXAM. Course Outline and Tentative Schedule We will cover 1-2 sections per class as time permits. Algebra Review 1.3 Factoring 2.2 Equations of Lines 3.7 Rational Functions 4.1 Exponential Functions 4.3 Logarithmic Functions Differential Calculus 11.1 Limits 11.2 One-sided Limits and Limits Involving Infinity 11.3 Rates of Change

4 11.4 Tangent Lines and Derivatives 11.5 Techniques for Finding Derivatives 11.6 Derivatives of Products and Quotients 11.7 The Chain Rule 11.8 Derivatives of Exponential and Logarithmic Functions 11.9 Continuity and Differentiability Applications of the Derivative 12.1 Derivatives and Graphs 12.2 The Second Derivative 12.3 Optimization Applications 12.4 Curve Sketching Integral Calculus 13.1 Antiderivatives 13.2 Integration by Substitution 13.3 Area and the Definite Integral 13.4 The Fundamental Theorem of Calculus 13.5 Applications of Integrals 13.7 Differential Equations Multivariate Calculus 14.1 Functions of Several Variables 14.2 Partial Derivatives 14.3 Extrema of Functions of Several Variables Test Schedule: Test Chapters Covered on Test Date Test #1 Chapters 1-4, Thursday, Feb. 20, 2016 Test #2 Chapters Thursday, Mar. 24, 2016 Test #3 Chapters Tuesday, Apr. 26, 2016 Final Exam Chapters 1-4,11-14 Tues., 10, :00-2:45 pm HCC Policy Statement - ADA Services to Students with Disabilities Students who require reasonable accommodations for disabilities are encouraged to report to Dr. Becky Hauri at to make necessary arrangements. Faculty is only authorized to provide accommodations by the Disability Support Service Office HCC Policy Statement: Academic Honesty A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. The instructor is responsible for measuring each student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the College's Policy on Academic Honesty, found in the catalog. What that means is: If you are charged with an offense, pleading ignorance of the rules will not help you. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System officials against a student accused of scholastic dishonesty. Scholastic dishonesty : includes, but is not limited to, cheating on a test, plagiarism, and collusion. Cheating on a test includes the following: Copying from another students test paper; Using materials not authorized by the person giving the test;

5 Collaborating with another student during a test without authorization; Knowingly using, buying, selling, stealing, transporting, or soliciting in whole or part the contents of a test that has not been administered; Bribing another person to obtain a test that is to be administered. Plagiarism means the appropriation of another s work (even copying homework) and the unacknowledged incorporation of that work in one s own written work offered for credit. Collusion mean the unauthorized collaboration with another person in preparing written work offered for credit. Possible punishments for academic dishonesty may include a grade of 0 or F in the particular assignment, failure in the course, and/or recommendation for probation or dismissal from the College System. (See the Student Handbook) HCC Policy Statements Class Attendance - It is important that you come to class! Attending class regularly is the best way to succeed in this class. Research has shown that the single most important factor in student success is attendance. Simply put, going to class greatly increases your ability to succeed. You are expected to attend all lecture and labs regularly. You are responsible for materials covered during your absences. Class attendance is checked daily. Although it is your responsibility to drop a course for nonattendance, the instructor has the authority to drop you for excessive absences. If you are not attending class, you are not learning the information. As the information that is discussed in class is important for your career, students may be dropped from a course after accumulating absences in excess of six (6) hours of instruction. The six hours of class time would include any total classes missed or for excessive tardiness or leaving class early. Absences may be such things as court appearances, illnesses, funerals, transportation issues, hospitals stays, etc. Do not use work as an excuse for missing class. Do not take this class if your work schedule interferes. Do not take a class on another campus and not allot enough time to get to this class. Be wise in enrolling in classes you cannot possibly get to in time--for your own safety and the safety of others!!!!! You may decide NOT to come to class for whatever reason. As an adult making the decision not to attend, you do not have to notify the instructor prior to missing a class. However, if this happens too many times, you may suddenly find that you have lost the class. Poor attendance records tend to correlate with poor grades. If you miss any class, including the first week, you are responsible for all material missed. It is a good idea to find a friend or a buddy in class who would be willing to share class notes or discussion or be able to hand in paper if you unavoidably miss a class. Class attendance equals class success. HCC Course Withdrawal Policy If you feel that you cannot complete this course, you will need to withdraw from the course prior to the final date of withdrawal, which is given in the college calendar. Before, you withdraw from your course; please take the time to meet with the instructor to discuss why you feel it is necessary to do so. The instructor may be able to provide you with suggestions that would enable you to complete the course. Your success is very important. Beginning in fall 2007, the Texas Legislature passed a law

6 limiting first time entering freshmen to no more than SIX total course withdrawals throughout their educational career in obtaining a certificate and/or degree. To help students avoid having to drop/withdraw from any class, HCC has instituted an Early Alert process by which your professor may alert you and HCC counselors that you might fail a class because of excessive absences and/or poor academic performance. It is your responsibility to visit with your professor or a counselor to learn about what, if any, HCC interventions might be available to assist you online tutoring, child care, financial aid, job placement, etc. to stay in class and improve your academic performance. If you plan on withdrawing from your class, you MUST contact a HCC counselor or your professor prior to withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a W on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class length, please visit the online registration calendars, HCC schedule of classes and catalog, any HCC Registration Office, or any HCC counselor to determine class withdrawal deadlines. Remember to allow a 24-hour response time when communicating via and/or telephone with a professor and/or counselor. Do not submit a request to discuss withdrawal options less than a day before the deadline. If you do not withdraw before the deadline, you will receive the grade that you are making in the class as your final grade. The last day to withdraw is April 5, Repeat Course Fee The State of Texas encourages students to complete college without having to repeat failed classes. To increase student success, students who repeat the same course more than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to encourage students to pass their courses and to graduate. Effective fall 2006, HCC charges a higher tuition rate to students registering the third or subsequent time for a course. If you are considering course withdrawal because you are not earning passing grades, confer with your instructor/counselor as early as possible about your study habits, reading and writing homework, test taking skills, attendance, course participation, and opportunities for tutoring or other assistance that might be available. Classroom Behavior It is our shared responsibility to develop and maintain a positive learning environment for everyone. As your instructor, I take this responsibility very seriously and will inform members of the class if their behavior makes it difficult for him/her to carry out this task. As a fellow learner, you are to respect the learning needs of your classmates and assist your instructor achieve this critical goal. Use of Camera and/or Recording Devices As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor. Note: Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations. No camera phones allowed in class on test days. Instructor Requirements As your Instructor, it is my responsibility to do the following:

7 Provide the grading scale and detailed grading formula explaining how student grades are to be derived Facilitate an effective learning environment through class activities, discussions, and lectures Describe any special projects or assignments Inform students of policies such as attendance, withdrawal, tardiness and make up Provide the course outline and class calendar which will include a description of any special projects or assignments, Arrange to meet with individual students before and after class as required Student Requirements To be successful in this class, it is the student s responsibility to do the following: Attend class and participate in class discussions and activities Read and comprehend the textbook Complete the required assignments and exams: Chapter Exams, Homework, Final Exam Ask for help when there is a question or problem Keep copies of all paperwork, including this syllabus, handouts and all assignments Calculators : Only scientific, not graphing, calculators can be used on tests. Grading Your instructor will conduct quizzes, exams, and assessments that you can use to determine how successful you are at achieving the course learning outcomes (mastery of course content and skills) outlined in the syllabus. If you find you are not mastering the material and skills, you are encouraged to reflect on how you study and prepare for each class. Your instructor welcomes a dialogue on what you discover and may be able to assist you in finding resources on campus that will improve your performance. Grading Scale = A = B = C = D Below 60 = F or 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. Grading: Lab...15% Chapter Tests...60% Final Exam % Total 100%

8 Formula: 0.15( lab work) (test average) (final exam grade) = course grade (Refer to this formula throughout the semester to know how well you are achieving your class goal.) Test Schedule: Test Chapters Covered on Test Date Test #1 Chapters 1-4, Thursday, Feb. 20, 2016 Test #2 Chapters Thursday, Mar. 24, 2016 Test #3 Chapters Tuesday, Apr. 26, 2016 Final Exam Chapters 1-4,11-14 Tues., 10, :00-2:45 pm Important Dates: Drop Deadline: Tuesday, April 5, 2016 Holidays: Monday, Feb. 15, 2016: Presidents' Day; Mar , 2016: Spring Break; Fri.-Sun Mar , 2016: Spring Holiday Exams are announced at least one week in advance. This schedule is tentative and will be changed, if necessary. It is your responsibility to attend allclasses and record any changes. Get a fellow class member s phone number to stay in contact with in case you miss a class and need to find out what you missed. ******Do not instructor for work covered in classes you missed. Complete 1-2 sections per meeting when you are absent to stay current if you do not call a student. 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 researchbased 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. Administration contact information College - Level Math Courses Chair of Math Jaime Hernandez - Secretary Tiffany Pham Math Assoc. Chair Math Assoc. Chair Math Assoc. Chair SW Campus SW Campus Stafford, Scarcella, N Stafford, Scarcella, N108 Roderick McBane CE Campus San Jacinto Building, Rm 369 Ernest Lowery Mahmoud Basharat NW Campus NE Campus Katy Campus Building, Rm Codwell Hall Rm 105 Developmental Math Courses Chair of Dev. Susan Fife SE Campus Felix Morales Building, Rm 124

9 Math - Secretary Carmen Vasquez SE Campus Felix Morales Building, Rm 124 Dev. Math Assoc. Chair Dev. Math Assoc. Chair Marisol Montemayor Jack Hatton SE Campus Felix Morales Building, Rm 124 NE Campus Northline Building, Room 321 As your teacher, I reserve the right to make syllabus changes to meet course demands. LET S WORK HARD AND HAVE A GREAT SEMESTER!!!!!!!!

10 Business Calculus Math 1325 Assignments for Exam #1 Ch. 1.3 P 27: 1,5,9,13,25,29,37,41,41,45,51,55,59,63,67,69,71,73,81-83 Ch. 2.3 P 119: 5,6,12 Ch. 3.7 P 203: 1,5,7,27 Ch. 4.1 P 220: 1-6,13,17,29,36,40a,42 Ch. 4.3 P 240: 7, 8,1124(odd),30,31,36,37,39,61a Ch P 663: 1-7(odd),21,23,25,29,33,35,39,43,45,49,53c Ch P 675: 1,3,5,7,11,17,29,31,33,43,47,49,51 Ch P 686: 1,3,5,7,26 Ch 11.4 P 702: 1,5,21,27-29,32b. Assignments for Exam 2 Ch P716:1,3,5,11,13,15,19,25,37,41,61 Ch P726:1,3,7,11,13,19,31,(problem given in class) Ch P738:1,3,9,21,23,27,31,35,39,41,43,53 Ch P747: Ch P757: 1-7 odd (draw all, then answer questions and give reasons),9-13(odd),25,27 Ch P780: 1-13(odd), (problem given in class) Ch P795: f" (0) for 1,3,7,9,11,13,17;21,25,29,36,43,49,53 D Assignments for Exam 3-- Ch.12.3 P809: 1-10,45 Ch.12.4 P.820: 1,3,17 Ch.13.1 P.836: 5,9,13-39(odd),43,51 Ch P.845: 3-23(odd),27,41 Ch.13.3 P.855: 7,9 Ch.13.4 P.868: 1,3,5,15,21,25,33,41,52 Ch. 13.5: P880: 1,5,7,9,23a,34 Ch.13.7 P.893: 1,3,5,7,15,17,18, was extra credit and has already been turned in Ch. 14 selected exercises and will be covered on the final exam.

11 Calendar Spring 2016 Regular Term January 2016 Date Day Event Jan 15 Friday Spring 2016 Reg 16 WK: Last Day for 100% refund Jan 15 Friday Jan 18 Monday Jan 18 Monday Jan 18 Monday Jan 19 Tuesday Spring 2016 Reg 16: Last Day for Drop/Add/Swap/Registration Ends (in-person) Spring 2016 Reg 16 WK Coleman:Offices Closed- Martin Luther King, Jr. Observance Spring 2016 Reg 16 WK: Offices Closed- Martin Luther King, Jr. Observance Spring 2016 Reg 16 WK:Last Day for Drop/Add/Swap/ Registration Ends (online only) Spring 2016 Reg 16-Wk Classes Begin Jan 26 Tuesday Spring 2016 Reg 16 WK Coleman: Official Day of Record February 2016 Date Day Event Feb 1 Monday Spring 2016 Reg 16 WK: Official Day of Record Feb 4 Thursday Spring 2016 Reg 16 WK: Last Day for 70% refund Feb 10 Wednesday Feb 12 Friday Spring 2016 Reg 16 WK: Last Day for 25% refund Spring 2016 Reg 16 WK: Priority Deadline for Spring Completion of Degrees or Certificates Feb 15 Monday Spring 2016 Reg 16 WK: Office Closed- President's Day March 2016 Date Day Event Mar 14 Monday Spring 2016 Reg 16 WK: Office Closed- Spring Break Mar 25 Friday Spring 2016 Reg 16 WK: Office Closed- Spring Holiday April 2016 Date Day Event Apr 5 Tuesday Spring 2016 Reg 16 WK: Last day to withdraw 2016 Date Day Event 15 Sunday Spring 2016 Reg 16 WK: Semester Ends

12 Spring 2016 Final Exam Schedule Monday, 9, 2016 Date Event Notes Spring 2016: For classes that meet only once per week between: 7:00 am- 7:30 am between: 9:00 am- 9:30 am between: 11:00 am- 11:30 am between: 1:00 pm- 1:30 pm between: 3:00 pm- 3:30 pm between: 5:00 pm- 5:30 pm between: 8:00 pm- 8:30 pm Classes which meet only once per week will take exams at the regular class time. (this includes weekend classes) Final exams for students will be given at 7:00a.m. Final exams for students will be given at 9:00 a.m. Final exams for students will be given at 11:00 a.m. Final exams for students will be given at 1:00 p.m. Final exams for students will be given at 3:00 p.m. Final exams for students will be given at 5:30 p.m. Final exams for students will be given at 8:00 p.m. Tuesday, 10, 2016 Date Event Notes 10 between: 7:00 am- 7:30 am Final exams for students will be given at 7:00a.m.

13 between: 9:00 am- 9:30 am between: 11:00 am- 11:30 am between: 1:00 pm- 1:30 pm between: 3:00 pm- 3:30 pm between: 5:00 pm- 5:30 pm between: 8:00 pm- 8:30 pm Final exams for students will be given at 9:00 a.m. Final exams for students will be given at 11:00 a.m. Final exams for students will be given at 1:00 p.m. Final exams for students will be given at 3:00 p.m. Final exams for students will be given at 5:30 p.m. Final exams for students will be given at 8:00 p.m. Wednesday, 11, 2016 Date Event Notes between: 8:00 am- 8:30 am between: 10:00 am- 10:30 am between: 12:00 pm- 12:30 pm between: 2:00 pm- 2:30 pm between: 4:00 pm- 4:30 pm Final exams for students will be given at 8:00 a.m. Final exams for students will be given at 10:00 a.m. Final exams for students will be given at 12:00 p.m. Final exams for students will be given at 2:00 p.m. Final exams for students will be given at 4:00 p.m.

14 11 11 between: 6:00 pm- 6:30 pm between: 7:00 pm- 7:30 pm Final exams for students will be given at 6:30 p.m. Final exams for students will be given at 7:30 p.m. Thursday, 12, 2016 Date Event Notes between: 8:00 am- 8:30 am between: 10:00 am- 10:30 am between: 12:00 pm- 12:30 pm between: 2:00 pm- 2:30 pm between: 4:00 pm- 4:30 pm between: 6:00 pm- 6:30 pm between: 7:00 pm- 7:30 pm Final exams for students will be given at 8:00 a.m. Final exams for students will be given at 10:00 a.m. Final exams for students will be given at 12:00 p.m. Final exams for students will be given at 2:00 p.m. deviations from the printed schedule are permitted Final exams for students will be given at 4:00 p.m. Final exams for students will be given at 6:30 p.m. deviations from the printed schedule are permitted Final exams for students will be given at 7:30 p.m.

15 Math 1325 I have completely read the syllabus for Math I understand I must (1) attend all classes, (2) complete all assignments on time, and (3) take all exams on the date the teacher assigns the exam. There will be no make-up exams given. I also understand I will be dropped from this class after I miss 6 hours. Attendance is necessary to learn the material to pass this class. Last day for Administrative/Student withdrawal is Tuesday, April 5, I understand there is ZERO TOLERANCE for texting in this classroom, and I will be asked to leave the class if I text, tweet, etc. Name: address: Phone number: (Please print your address, so I can read it. Thanks.)

16 Name: Action Plan for Math 1325, 1pm-2:30pm, Spring 2016 I (print your name) plan to take the following actions to ensure that I pass my math class. Ideas: attendance, class notes, minimum number of minutes spent in review each day, come to class prepared and ask questions on something I (the student) have attempted but cannot complete, etc. Write at least 5 sentences on what you plan to do to pass math class. You are the active participant. My plan is the following:

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