Course Syllabus Math A200 Section: 191 Math A200 CRN 32353, Calculus I Spring Semester 2015 Eagle River Campus Instructor: Mr. Russ Frith E-mail: rfrith@uaa.alaska.edu Time: Saturday 9:00 am 12:35 pm Location: CERC, Room 212 Office Hours: Saturdays, after class, or by appointment Phone: 907-223-9657 (C) Best way of contact: Email. Special Note: I usually check my email several times during the day. Prerequisites: Undergraduate UAA level MATH A107; Minimum grade of C or appropriate SAT or ACT scores or approved UAA placement test required. In addition, UAA level Math A108, Trigonometry or equivalent experience is required. Course Description: This course will cover: limits and derivatives, differentiation, integration, and applications. Technology Usage: I do not rely on graphing calculators nor other advanced forms of technology for this class. If you wish to solve homework problems using a personal computer or a graphing calculator and need assistance from me, that's fine with me. I will try to help you with those issues. Ultimately, you need to solve problems independent of technological assists because my emphasis is on students' mastering the procedures and techniques to solve problems. Test questions will be fashioned so that you will not need to crunch numbers. You will need to apply mathematical reasoning to solve problems. Partial credit will be given if you don't get the correct answer but you demonstrate the correct methods for solving a particular problem. Required Material: Calculus, Early Transcendentals by Stewart, 7 th Edition Optional Material: Solutions Manual, graphing calculator (TI-84), graph paper (four or five squares/inch) Course Objectives: 1. Study the characteristics of functions, 2. Apply algebra skills to model and to analyze real world problems, 3. Communicate effectively using mathematical terminology, 4. Analyze and defend plausible solutions. Instructional Strategies: Lecture, tests, and homework Testing Methods: Mostly short answer, application and modeling. Tests will be given at the last 60 minutes of the period and when a student has turned in the test s/he may leave. No makeup tests will be offered. If you miss a test, then your final exam percentage score will substitute for your first missed
exam. If you miss two or more tests, then a score of zero will be recorded for each missed exam. The final is comprehensive. Each test is worth 100 points, and the final is worth 200 points. Each test may have up to 10 questions. You are expected to answer as many questions as you can. Points are accumulative. Partial credit will be given for relevant responses to test questions. The minimum score you can receive for a problem is zero points. Homework: Assigned intermittently at the instructor's discretion. Each question is worth 10 points and there will be up to ten questions per assignment. Homework should have the following: name, date, and assignment number. Homework is due the next class period unless otherwise stated. Homework that is turned in one week after it is due will be worth 50% of the total score. Homework cannot be submitted two or more weeks late. Homework will not be accepted if your work is not stapled. You may not submit your homework via email. Responsibility: If you miss a class then it is your responsibility to find out what you missed for that day s class. Remember, missing one class is like missing a whole week of lectures since this is a Saturday class. Thus, you will miss a lot of information and it is likely you will fall significantly behind and may not be able to catch up. Remember to turn cell phones on vibrate during class. Attendance: Is recommended and you are responsible for information covered during the class. Lecture content as outlined on the syllabus is a temporal guide. The class progression may be faster or slower than the schedule delineated at the bottom of this document. If you need a copy of the lecture notes then please make arrangements with a reliable classmate. Due to the dynamic nature of the lectures, I will not have copies of the lecture notes to release. Grading Policy (Tentative): Grades will be based on the following total point system: Grade Formula: Five (5) Tests (100 pts each): 500 pts Homework assignments, varies; usually one per week Final: 200pts Final Grade Score =.50*(average test score) +.25*(average homework score) +.25*(final score) 100% - 90% A 79% - 70% C Below 60% F 89% - 80% B 69% - 60% D Incomplete grades for the semester will not be given. Grades will be posted on Blackboard. Drop Policy: I will not drop students from the class. It is incumbent upon you to manage this class. If you do not complete the work, I will report a failing grade. Generally, this is the only time anyone ever receives an F in my class. It is recommended that you keep all work until you receive your final grade. Cheating: Zero tolerance. If you are found cheating, you will be reported and receive a zero on that test. Academic Success and Support Services: If you need disability-related accommodations, please notify Disability Support Services at 786-4530.
Tentative Class Schedule for Spring 2015 DATE LECTURE TESTS January 17 1.1 Functional Representation 1.2 Math Models 1.3 Functions 1.5 Trigonometric & Exponential Functions 1.6 Inverse Functions & Logarithms January 24 2.1 Tangent & Velocity Problems 2.2 The Limit of a Function 2.3 Limit Laws January 31 2.4 Definition of a Limit 2.5 Continuity Test, Chapter 1 February 7 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 Derivative as a Function February 14 3.1 Derivatives of Polynomials and Exponential Functions 3.2 Product and Quotient Rules Test, Chapter 2 February 21 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 3.5 Implicit Differentiation February 28 3.6 Derivatives of Logarithmic Functions
3.7 Rates of Change in Natural and Social Sciences (if time permits) 3.8 Exponential Growth and Decay 3.9 Related Rates March 7 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions 4.1 Maximum and Minimum Values Test, Chapter 3 Test will cover up to section 3.9 March 14 March 24 No class, spring break 4.2 Mean Value Theorem 4.3 Derivatives & Graphing March 21 4.4 Indeterminant Forms & L Hospital s Rule 4.5 Curve Sketching March 28 4.7 Optimization Problems 4.8 Newton s Method April 4 4.9 Antiderivatives 5.1 Areas & Distances 5.2 The Definite Integral Test, Chapter 4 April 11 5.3 Fundamental Theorem of Calculus 5.4 Indefinite Integrals April 25 Catch Up Test, Chapter 5 May 2 Final Exam