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1 MATH 1325-001-2168: Applications of Continuous Mathematics Fall 2016 T Th 12:30-1:45 pm Instructor: Wendy Padilla Room: MB 3227 Office: ST 1248 Office Hours: T Th 11:30-12:20 preferably by appointment Contact Info: [email protected] Materials: Required: MyMathLab code, purchased at the Bookstore or online Recommended: Mathematics with Applications by Lial, Hungerford, Holcomb, 10th edition (was used for Math 1324) Prerequisites: MATH1324 Applications of Discrete Mathematics. Description Continuation of MATH 1324. Differential calculus of polynomial, rational, algebraic, logarithmic and exponential functions with applications to business. Intro to integral calculus. Measurable Outcomes: Upon successfully completing this course, the student should be able to --find the limit of an expression of a single variable --take derivatives of functions of a single variable using the power rule, product and quotient rule, chain rule, e^x and logarithmic rule --interpret the value of the derivative at a point as the slope of a line and as a rate of change --use derivatives to solve optimization problems involving functions of a single variable --find antiderivatives, and evaluate definite integrals and interpret them as areas under a curve. Topics: Limits Slope and average rate of change Definition of the derivative Tangent lines Techniques of differentiation Increasing and decreasing Local extrema The second derivative Absolute extrema Optimization applications Antiderivatives The Fundamental Theorem of Calculus Definite integrals and area Methods of assessment: The expected learning outcomes for the class will be assessed through exams, homework, quizzes, and/or active learning activities. Homework: You will be given work to do in a group during class. I will assign homework every class day to be done individually in MyMathLab. It will close right before the next time you come to class. It is strongly recommended you do the homework in order for you to succeed in the exams. 2 Tests: Tests will be announced at least a week in advance. If you have questions on misgrading, you must speak to me about it within 1 week after I have given back grades. You will lose all privileges to pose concerns thereafter. Attendance: Attendance is mandatory in order for you to learn the material. You are required to stay the whole time in order for the attendance to count. If you are absent for any reason, you are responsible for all make-up work, notes, turning in homework, or taking a test the next time you come to class. Please find a reliable friend from whom to get your notes. If you are absent on test day, you must notify me prior to and give proper documentation. You will be allowed 3 absences. Any absence thereafter will constitute in a reduction of 1.5 points of your final grade. Officially School Approved Trips: Students must give proper documentation and prior notification. The student will be responsible for the material missed. Grading: Scale: Homework: 30% Tests: (3 Tests) 50% 90 – 100% A 60 – 69% D Test 1 10% 80 – 89% B Below 60% F Test 2 20% 70 – 79% C Test 3 20% Final: 20% You must earn your grade in my class. Do not expect an A, for example, if you have an 89.49 in my class. If Test 3 is at an 80 or higher, and you are content with your previous 2 test grades, you do not have to take the final exam. (You must also have 3 absences or less). Your grade would be whatever it appears on MyMathLab. If you do not take the Final Exam, Test 3 can not replace another low test grade. Extra Credit: Opportunities for extra credit will be announced throughout the semester. If you are not in class when extra credit is offered, you lose the opportunity to do that extra credit. It is important that you take advantage of any extra credit I offer because I do not do curves or corrections on tests. Academic Honesty: Unless otherwise stated in class, you may receive help from other people and different resources on homework. Unless otherwise stated, tests and quizzes are expected to be your work entirely. The first offense will result in an automatic zero on that assignment. The second offense will immediately result in a failing grade for the course. Cheating includes giving false information on absences related to officially school approved trips. Civility in the classroom: Students are expected to assist in maintaining a classroom environment which is conducive to learning. In order to assure all students have an opportunity to gain from time spent in class, troublesome behavior will not be tolerated. This includes the use of cellular phones, making offensive remarks, reading newspapers, sleeping, bad attitudes, or engaging in any other form of distraction. The instructor is authorized to take such steps as are necessary when the behavior of a student disrupts the normal classroom procedure. Instructors may remove a student for the single class session. If disruptive behavior becomes continuous and/or serious, the instructor may begin disciplinary proceedings. You are not allowed to use phones, I Pads, laptops, or any other devices in class. 3 ADA Accommodation: Any student who feels that he or she may require assistance for any type of physical or learning disability should consult with the instructor as soon as possible. To request academic accommodations for a disability, contact Efren Castro, director of the PASS office, in the Mesa Building, room 1160, 432-552-2631 or email [email protected]. A student is required to provide appropriate documentation of his/her disability prior to receiving accommodations. Calculators: A graphing calculator and a basic calculator are required. Cell phones and similar devices may NOT be used as calculators. The instructor reserves the right to not allow any particular calculator. Tutoring: Tutoring is available from the Student Success Center (MB 2215). 552-3350. 4 Math 1325 Continuous Mathematics Semester Plans* Week 1-3: Review 1.1 Real Numbers, 1.5 Exponents/Radicals, 1.2 Polynomials Review Test 2 Review 1.6 First Degree Equations, 1.7 Quadratic Equations Week 11-14: 12.1 Derivatives and Graphs 12.2 The Second Derivative 12.3 Optimization Applications 12.4 Curve Sketching 13.1 Antiderivatives 13.4 The Fundamental Theorem of Calculus On your own: Review 2.1 Graphs, 2.2 Equations of Lines Review Test 3 Review Chapter 3 Week 15: Review Comprehensive Final Exam Review 1.3 Factoring, 1.4 Rational Expressions There will be an online test over Math 1324 review material. You must pass with a 85 or higher. Week 4-6: 11.1 Limits 11.2 One-Sided Limits and Limits involving Infinity 11.3 Rates of Change Review Test 1 Week 7-10: 11.4 Tangent Lines and Derivatives 11.5 Techniques for Finding Derivatives 11.6 Derivatives of Products and Quotients 11.7 The Chain Rule Review 4.1 Exponential Functions, 4.3 Logarithmic Functions 11.8 Derivatives of Exponential and Logarithmic Functions *The course outline is tentative and is subject to change as deemed by the instructor