Santiago Canyon College, Fall 2017 Division of Mathematics and Science Math 180H, Calculus I Honors, #37881 Monday & Wednesday, 0800-1005, SC-110 Instructor Randy Scott Office: D-116-7 Phone: (714) 628-4947 email: scott randy@sccollege.edu Office Hours M: 1300-1430 T: 1030-1230 W: 1300-1430 Th: 1400-1600 Prerequisites Math 170 with a grade of C or better or equivalent skills as measured by Math Level 4 exam and a course equivalent to Math 170. In addition to this, you will need the desire to learn, the willingness to work hard, and the intestinal fortitude to not give up until you achieve your goal. Student Learning Outcomes Department SLOs: Upon completion of any course in Mathematics the student will be able to 1. Create mathematical models of real world phenomena, apply those models to make predictions about the behavior of the phenomena, apply appropriate problem solving techniques, and critically evaluate the veracity of the obtained results. 2. Clearly communicate mathematical reasoning and problem solving skills using a variety of formats, diverse technologies, and appropriate mathematical vocabulary and notation. 3. Integrate into educational and professional conduct a calm, confident, and ethical approach to mathematical reasoning and problem solving while taking personal responsibility for mathematical successes Course SLOs: Upon completion of this course the student will be able to 1. Analyze functions analytically and graphically using limits, derivatives, definite and indefinite integrals. 2. Apply basic definitions, properties and theorems of first semester Calculus to formulate elementary proofs and model and solve problems. Student Conduct Based upon the RSCCD Standards of Student Conduct (also known as the Code of Conduct) all students will be in violation of the code if you disrupt the teaching of this class. Penalties that may be invoked include warnings, probation and suspension from all classes and activities within the district. In addition to this boilerplate language, let me just add that you won t have time to cause a problem in class. Attendance (Participation) Be in class, on time, each and every day. Attendance comprises a small part of your course grade and missing class will adversely affect your course grade. From the 2017-2018 SCC Catalog: A student may be dropped for excessive absences when the total hours of absence exceed 10% of the total scheduled hours of class. For Fall 2017, this means I will drop you for excessive absence if you miss more than 3 class meetings. Withdrawls If you decide to drop this class, it is your responsibility to follow the correct procedures. The last day to drop this class with no record of participation is September 10, 2017, and the last day to drop this class with a W grade is November 19, 2017. Again, it is your responsibility to be aware of and to follow the correct procedures. Accomodations for Disabilities Students with verifiable disabilities who want to request academic accommodations are responsible for notifying their instructor and Disabled Students Programs and Service (DSPS) as early as possible in the semester. To arrange for accommodations, contact DSPS at (714) 628-4860 or by TDD (714) 639-9742 or stop by the DSPS Center in E-105.
Fall 2017 Math 180H, Calculus I Honors 2 Academic Honesty Students attending Santiago Canyon College are expected to be honest and forthright in their academic endeavors. To falsify the results of research, to steal the words or ideas of another or to cheat on an examination, corrupts the essential process by which knowledge is advanced. Academic dishonesty is seen as an intentional act of fraud, in which a student seeks to claim credit for the work or efforts of another without authorization, or uses unauthorized material or fabricated information in any academic exercise. We, as an institution, also consider academic dishonesty to include forgery of academic documents, intentionally impeding or damaging the academic work of others, assisting other students in acts of dishonesty or coercing students into acts of dishonesty. In matters relating to academic honesty violations, the primary responsibility for disciplinary proceedings rests with the instructor and the academic division where the violation allegedly occurred. Math Study Hall (MaSH) Registration The MaSH is a service provided by SCC that gives students a chance to supplement the learning done in the classroom. There will always be a math faculty member, instructional aides, and student workers on duty to assist you when needed. There are also computers in the room on which students can access mathematical software or do work for their on-line math class. The MaSH is located in room D-209. Hours of operation for Fall 2017 are Monday through Thursday 9:30 am to 7:30 pm, and Saturday 9:00 am to 3:00 pm. To utilize the MaSH, you must enroll in Math 280L, #37901. This is a Pass/No Pass, Open Entry/Open Exit lab course. You will need to complete at least 10 hours in the MaSH and 2 study-skill assignments within the semester to earn 0.2 units with a grade of Pass (P). Note, if you have to drop the class, be sure to drop the lab also to avoid a No Pass (NP) in the lab. Attendance is tracked through the sign-in computer so when entering the MaSH, have the assistant slide your student ID card or type in your ID number at the sign-in computer (do not use your SSN, it will not work). When leaving, sign out the same way you signed in; signing out is critical in order to avoid losing any hours completed. If you have any questions or concerns, please contact Alicia Frost at 714-628-4929. Supplemental Instruction Supplemental Instruction (SI) is awesome. We will discuss this in class. Calculator Use You will need a graphing calculator for this course. We will discuss appropriate use of the calculator in class, and will also continue to develop and improve our arithmetic and algebra skills. Exams Exams are tentatively scheduled for Monday, September 25, Wednesday, October 25, and Monday, November 27, 2017. I reserve the right to change the date to reflect the progress we make in the class, but I promise to always give you at least a one week notice before an exam. Quizzes A short quiz will be given on the average of once each week. Some quizzes will be at the beginning of the class time, some in the middle, and some at the end of the class time. There are no make-up quizzes given for any reason. I will drop your lowest quiz score at the end of the semester. Homework Doing work outside of class time provides the essential practice needed for success in mathematics. Plan to spend at least three hours outside of class for each hour in class. These three hours may include reviewing your class notes, reading the textbook, working on the assigned problems, reviewing older homework assignments. Homework assigned for each day is to be completed by the following class meeting. Homework will be collected on a random basis and scored. You will receive full credit if you attempt all the assigned problems. Finally, late homework will not be accepted for any reason.
Fall 2017 Math 180H, Calculus I Honors 3 Final Exam The final exam will be administered during the last regularly scheduled class meeting: Wednesday, December 13, 2017. No early or late finals will be given. Grades Your grade in this class is computed using a weighted average with the following category weights and letter grade assignments with p being your class percentage and l being the letter grade: Exams 50% If p 90, then l = A Quizzes 15% If 80 p < 90, then l = B Homework 10% If 70 p < 80, then l = C Participation 5% If 60 p < 70, then l = D Final Exam 20% If p < 60, then l = F For example, to find your exam category score, compute the average (arithmetic mean) of the percentage of each of your exam scores. To find your quizzes category score, compute the average (arithmetic mean) of the percentage of each of your quiz scores. Sum the products of all the category scores and the weight, and the result is your class percentage.
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Fall 2017 Math 180H, Calculus I Honors 7 Santiago Canyon College, Fall 2017, Mr. Scott Math 180H, Analytic Geometry and Calculus, Honors Text: Stewart, James; Calculus, Early Transcendentals, 8e Ch. 1 Functions and Models 1.1 Four Ways to Represent a Function 1, 2, 3, 5, 7-10, 11, 13, 15, 16, 23, 27-30, 31, 34, 35, 36, 45, 47, 49, 51, 54, 55, 62, 63 1.2 Mathematical Models: A Catalog of Essential Functions 10, 11, 12, 15, 16, 17, 21, 23 1.3 New Functions from Old Functions 1, 9-23 odd, 31-49 odd, 51, 53, 54, 56 1.4 Graphing Calculators and Computers 3-15 odd, 17, 18, 19-23 1.5 Exponential Functions 1, 7, 9, 11, 13, 14, 17, 18, 19, 23, 25 1.6 Inverse Functions and Logarithms 3-13 odd, 17, 18, 21-26, 29, 30, 47-52, 59-64, 66-68 Ch. 2 Limits and Derivatives 2.1 The Tangent and Velocity Problems 1, 2, 6, 7, 8 2.2 The Limit of a Function 1, 2, 5, 6, 9, 10, 13, 15, 19, 25, 27, 31-43 odd, 50 2.3 Calculating Limits Using the Limit Laws 1, 5, 10, 11-31 odd, 35, 41, 43, 45, 47, 51, 54 2.4 The Precise Definition of a Limit 1-4, 5, 8, 11, 12, 19, 21, 25, 27 2.5 Continuity 2, 3, 5, 6, 10, 11, 17-29 odd, 41-43 2.6 Limits at Infinity; Horizontal Asymptotes 1, 2, 7, 8, 10, 15-35 odd, 47-51, 53 2.7 Derivatives and Rates of Change 1, 3, 5-8, 12, 14, 16, 21, 22, 31-41 odd, 47, 51, 52 2.8 The Derivative as a Function 1, 3, 4, 5, 7, 9, 10, 13, 21-29 odd, 35, 36, 41, 43, 47, 56 Ch. 3 Differentiation Rules 3.1 Derivatives of Polynomial and Exponential Functions 3-31 odd, 33, 34, 35, 45, 46, 49, 50, 51, 52, 55, 61, 64 3.2 The Product and Quotient Rules 3-25 odd, 27-30, 33, 34, 43, 44, 45, 53, 54 3.3 Derivatives of Trigonometric Functions 1-15 odd, 17-19, 25, 29, 30, 31, 35, 36, 39-47 odd 3.4 The Chain Rule Part I: 7-45 odd, 58, 63, 69 Part II: 8-46 even, 66, 74, 75, 79, 80, 82 3.5 Implicit Differentiation 5-13 odd, 15-20, 25, 27, 28, 33, 41, 49-60 3.6 Derivatives of Logarithmic Functions 3-15 odd, 17-22, 23, 26, 39-47 odd 3.7 Rates of Change in the Natural and Social Sciences 1, 3, 5, 6, 7, 9, 11, 14, 16, 21, 24, 28, 30, 31, 33 3.8 Exponential Growth and Decay 3, 4, 5, 7, 8, 9, 11, 13, 15 3.9 Related Rates 3, 5, 6, 11, 13, 24, 27, 29, 33, 39, 40, 45, 46 Continued on next page
Fall 2017 Math 180H, Calculus I Honors 8 3.10 Linear Approximations and Differentials 11, 13, 15, 16, 17, 19 3.11 Hyperbolic Functions 1-49 odd, 52, 53 Ch. 4 App s of Differentiation 4.1 Minimum and Maximum Values 3-6, 7-10, 13, 17, 21, 27, 29-43 odd, 47, 53, 57, 61, 69, 71 4.2 The Mean Value Theorem 7, 9, 11, 13, 17, 18, 24, 27 4.3 How Derivatives Affect (Describe) the Shape of a Graph 1, 5, 6, 7, 8, 9-17 odd, 25, 28, 31, 33, 37, 38, 39, 41, 45, 47, 48, 49 4.4 Indeterminate Forms and L Hospitals Rule 5, 6, 7-65 odd, 73, 74 4.5 Summary of Curve Sketching 9, 13, 19, 25, 31, 33, 37, 39, 47 4.6 Graphing with Calculus and Calculators 1, 5, 6, 8, 17, 20, 21 4.7 Optimization Problems 7, 13, 14, 15, 19, 23, 30, 32, 37, 43, 44, 57, 58 4.8 Newton s Method 1, 7, 13, 16, 19, 27, 29, 30 4.9 Antiderivatives 1-47 odd, 49, 51, 52, 53, 57, 59, 61, 62 Ch. 5 Integrals 5.1 Areas and Distances 1, 2, 3, 13, 15, 18 5.2 The Definite Integral 3, 5c, 9, 12, 17-20, 21, 23, 33, 35-40, 41, 42, 48, 49 5.3 The Fundamental Theorem of Calculus 3, 4, 7-43 odd, 53, 54, 64, 66, 71 5.4 Indefinite Integrals and the Net Change Theorem 1, 2, 5-45 odd, 47, 51-58, 59, 61, 67, 71 5.5 The Substitution Rule Part I: 1-6, 7-73 odd Part II: 8-72 even Useful Websites: http://wolframalpha.com/ http://www.calculus.org/ http://tutorial.math.lamar.edu/ http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/