Math 213 Syllabus - Department of Mathematics
Transcription
Math 213 Syllabus - Department of Mathematics
California State University, San Bernardino Department of Mathematics Math 213-02, Calculus III, Winter 2015 (23130) Course and Instructor Information Instructor: Jeremy Aikin, Ph.D. Office location: JB-316 Telephone: (909) 537-5375 Email: [email protected] Office hours: 10:00 – 11:00 am WF; 12:00 – 1:00 pm TTh; and by appointment Class Days/Time: 10:00 – 11:50 am TTh Classroom: JB-383 Prerequisite: Math 212 with a “C” or better Faculty Web Page A copy of the course syllabus may also be found on my faculty web page: www.math.csusb.edu/faculty/jaikin Course Description and Coverage This is the third course in calculus of a single variable. The topics we will cover are sequences and series, numerical techniques, polar coordinates, parametric equations, and solids of revolution. Required Text Calculus of a Single Variable, 10th Edition by Ron Larson and Bruce Edwards Homework Doing homework in this course is essential in order to pass the class. It is not a part of your grade, nor will it be graded; however, doing the homework problems I assign is what will prepare you for your tests and quizzes. In fact, the problems on your tests and quizzes will either come directly from your homework or will be very similar to problems assigned in homework. You should expect, and set aside the time, to spend at least 1 – 2 hours outside of this class each day doing your homework. If making time for this course every day is going to be a problem, you may want to postpone taking this course until you are able to set aside this amount of time. I will try to spend time on most days in class to answer any questions you have regarding your homework. Grading Policy Your grade will consist of the following components: Test Average 40% Quiz Average 35% Final Exam 25% There will be two tests, four quizzes, and a final exam during the quarter. Each test will take about one hour, while each quiz will take approximately half an hour. Please see the attached schedule regarding the days you will be taking tests and quizzes. The following grading scale will be used to compute your final grade in the course: A: > 93 % C: 74 – 76 % A- : 90 – 93 % C- : 70 – 73 % B+ : 87 – 89 % D+ : 67 – 69 % B: 84 – 86 % D: 64 – 66 % B- : 80 – 83 % D- : 60 – 63 % C+ : 77 – 79 % F: < 60 % This grading scale is subject to change at my discretion. I do not curve the grades of any of your tests or quizzes, however, I reserve the right to curve your final grade in the course. Attendance and Make-up Policy Attendance will be taken each day for the purposes of keeping a record. If you miss class, you are responsible for any information that is covered and any announcements made in class. If you miss a test or quiz, you may make it up only with proof of a valid excuse and a make-up must be scheduled with me within 48 hours of the missed test or quiz. There is a small window of time during which a make-up will be allowed. Goals and Student Learning Outcomes Goal 1: Students will demonstrate a conceptual understanding of mathematics Student Learning Outcomes 1.1 Students will demonstrate an understanding and apply fundamental concepts, operations, and relations 1.2 Students will make connections between mathematical ideas verbally, numerically, analytically, visually, and graphically 1.3 Students will achieve proficiency in modeling with mathematics Goal 2: Students will attain procedural fluency in mathematics Student Learning Outcomes 2.1 Students will correctly apply mathematical theorems, properties and definitions 2.2 Students will calculate efficiently, flexibly, and with appropriate accuracy Goal 3: Students will demonstrate adaptive reasoning and problem solving skills in mathematics Student Learning Outcomes 3.1 Students will choose and use appropriate tools (including technology) and strategies to gain insight into and present solutions to mathematical problems 3.2 Students will use and produce valid arguments 3.3 Students will explain and justify solutions using a variety of representations 3.4 Students will be able to reflect on and learn from previous problems 3.5 Students will be able to evaluate reasonableness of proposed results using estimation and context 3.6 Students will be able to critique mathematical reasoning, both correct and flawed Goal 4: Students will demonstrate mathematical communication skills Student Learning Outcomes 4.1 Students will demonstrate mathematical communication skills using appropriate mathematical vocabulary and references. Goal 5: Students will understand and produce correct mathematical proofs Student Learning Outcomes 5.1 Students will understand correct mathematical proofs 5.2 Students will produce correct mathematical proofs For Math 213, the focus SLO’s that apply are 2.1, 3.2, 3.4, and 4.1. University Policies Students are responsible for understanding the policies and procedures found in the CSUSB Bulletin of Courses, 2014-2015, especially the section titled “Academic Regulations and Standards” beginning on page 100. Pay close attention to the policy regarding add/drops, academic renewal, cheating and plagiarism. Cheating on exams could result in an F for a course grade and also sanctions by the University. Academic dishonesty will not be tolerated. Classroom Protocol All electronic devices that will distract other students or the instructor must be turned off during class sessions, quizzes and exams. Cell phones must be set to complete silence, meaning that the ringer should be turned off and they should not be set to vibrate. If I see you text messaging during class, I will ask you to leave, as it is very distracting to me. If this occurs more than once, you will be subject to university sanctions. If you need to leave a class session early please let me know. Also, in such situations, please sit near the exit door as not to disturb your classmates. Any activity that is disruptive to me or any students in the class is not tolerated. Such behavior will result in you being asked to leave class and may result in a lowering of your course grade. Support for Students with Disabilities If you are in need of an accommodation for a disability in order to participate in this class, please notify me and also contact Services to Students with Disabilities (UH-183) at (909) 5375238. Important Dates January 16: Last day to add open class without permission. January 19: Martin Luther King Holiday (campus closed). February 2: The last day to drop classes without record. March 23: The last day of classes for the Winter Quarter. Thursday, March 26: Final Exam (10:00 – 11:50 am) Disclaimer: This syllabus, including the topics covered in this class and the dates for tests and quizzes, is subject to change at the discretion of the instructor. Math 213 ‐ Calculus III Winter 2015 Course Calendar Dates 13‐Jan 15‐Jan 20‐Jan 22‐Jan 27‐Jan 29‐Jan 3‐Feb 5‐Feb 10‐Feb 12‐Feb 17‐Feb 19‐Feb 24‐Feb 26‐Feb 3‐Mar 5‐Mar 10‐Mar 12‐Mar 17‐Mar 19‐Mar 24‐Mar 26‐Mar Days T Th T Th T Th T Th T Th T Th T Th T Th T Th T Th T Th Topics Assignments Introduction, 9.1, 9.2 9.3, 9.4 Quiz 1: Thurs. 1/22 (9.1, 9.2) 9.5, 9.6, 9.7 9.8, 9.9 Quiz 2: Thurs. 2/5 (9.3, 9.4, 9.5, 9.6) 9.10, 10.1 Test 1: Thurs. 2/12 (9.1 ‐ 9.9) 10.2, 10.3, 10.4 10.5 Quiz 3: Thurs. 2/26 (9.10, 10.1, 10.2, 10.3) 7.1, 7.2 Test 2: Thurs. 3/5 (9.10, 10.1‐10.5) 7.3, 7.4 7.5 Quiz 4: Thurs. 3/19 (7.1, 7.2, 7.3, 7.4) Final Exam: March 26, 10:00 ‐ 11:50 am Math 213, Calculus III ‐ Homework 9.1: 9.2: 9.3: 9.4: 9.5: 9.6: 9.7: 9.8: 9.9: 9.10: 10.1: 10.2: 10.3: 10.4: 10.5: 7.1: 7.2: 7.3: 7.4: 7.5: Sequences HW: 1‐9 odd, 10‐12, 13‐59 odd, 63, 67a, 69, 71 Series and Convergence HW: 1‐21 odd, 25‐53 odd, 55, 56, 58, 61, 67 The Integral Test and p‐Series HW: 1‐21 odd, 25‐37 odd, 41‐45, 47, 65 Comparisons of Series HW: 3‐21 odd, 22, 23‐27 odd, 28‐30, 32, 33, 35, 36, 39‐46 Alternating Series HW: 5‐25 odd, 37‐53 odd, 55, 56, 58, 59 The Ratio and Root Tests HW: 1‐4, 13‐71 odd, 93, 97 Taylor Polynomials and Approximations HW: 1‐4, 5‐9 odd, 13‐29 odd, 49, 51, 59‐63 Power Series HW: 1‐31 odd, 41, 43, 49‐55, 58 Representation of Functions by Power Series HW: 1‐23 odd, 31‐39 odd, 40, 56, 57 Taylor and Maclaurin Series HW: 1‐13 odd, 17, 19, 27‐41 odd, 45‐67 odd, 73 Conics and Calculus HW: 1‐6, 23‐27 odd, 35‐39 odd, 51‐57 odd Plane Curves and Parametric Equations HW: 1‐17 odd, 31, 33, 41‐55 odd Parametric Equations and Calculus HW: 1‐17 odd, 23, 29‐49 odd, 65, 67 Polar Coordinates and Polar Graphs HW: 1‐49 odd, 59, 67, 77, 83, 85 Area and Arc Length in Polar Coordinates HW: 1‐21 odd, 25‐31 odd, 35, 39 Area of a Region Between Two Curves HW: 1‐29 odd, 55, 57 Volume: The Disk Method HW: 1‐35 odd, 41‐47 odd, 49‐53 Volume: The Shell Method HW: 1‐31 odd Arc Length and Surfaces of Revolution HW: 1‐15 odd, 35‐45 odd Work HW: 1‐19 odd, 25, 27