HEARTLAND COMMUNITY COLLEGE MATH 163 Calculus III Syllabus Spring 2013

Transcription

1 HEARTLAND COMMUNITY COLLEGE MATH 163 Calculus III Syllabus Spring 2013 Class: MTWR: 2:00 3:50 pm Office Hours:10:30 noon Wednesday and Thursday; 5 6 pm Tuesday and Thursday Instructor s Name: Dr. Kim McHale Office: ICN 2017 Phone: (office) kim.mchale@heartland.edu Text: Catalog Description (Include specific prerequisites): Prerequisite: MATH 162 with a grade C or higher, or equivalent. The third semester of the Calculus sequence, focusing on multivariable functions. Topics include differentiation and integration of functions with multiple variables, partial derivatives, the differential, gradients, directional derivatives, two- and three-dimensional motion, vector fields, and line integrals. Concepts are examined in three representations: numerically, graphically, and symbolically. Note, a graphing calculator is required for this course (instruction will be based on a TI 89). Textbooks: Calculus: Early Transcendentals, 1 st Edition, Briggs, Cochran, Addison Wesley, 2010, with MLP Access. Student Communication: To access WebCT, IRIS, and your Heartland Student , you will need to log into myheartland, at Important Dates: Jan 18 Jan 21 Jan 28 Mar Mar 2 April 10 May 8 May 9 May May 17 May 20 Final Day to Drop with Refund for 1st 8-Week Session Martin Luther King Day (College Closed) Final Day to Drop with refund for 16-Week Session Spring Break (No Classes, College Open) Midterm Grades Due by Midnight for 16-Week Session Students can start viewing midterm grades online once submitted by Instructors Final Day to Withdraw for 16-Week Session Classes End for 16-Week, 12-Week and 2nd 8-Week Sessions Optional Review Day Clinical course classes meet Final Exam Week for 16-Week, 12-Week and 2nd 8-Week Sessions Commencement Final Grades Due by Midnight for 16-Week, 12-Week and 2nd 8-Week Sessions Students can start viewing final grades online once submitted by Instructors.

2 Fall 2012/Spring 2013 Final Exam Schedule To determine the final examination date for each class, find the start time and day(s) of the week that each class meets. The day of the final exam is in the top row, and the time of the final exam is in the far left column. Classes will meet for final exams at that day and time in their regular classrooms. Final Exam Dates Final Exam Times 8:00am - 9:50am 10:00am - 11:50am 12:00pm - 1:50pm 2:00pm - 3:50pm Monday Dec. 10, 2012 May 13, DAY, MTRF, MWF, MW, MF, MON MON, MF 5DAY, MTRF, MWF, MW, MF, MON MON, MF 5DAY, MTRF, MWF, MW, MF, MON MON MW, MON MON Tuesday Dec. 11, 2012 May 14, 2013 TWRF, TWR, TR,, MTWR TWRF, TWR, TR,, MTWR TWRF, TWR, TR,, MTWR TWR, TR,, MTWR Day/Time Class Meets Wednesday Dec. 12, 2012 May 15, DAY, TWRF, MWF, MW, 5DAY, TWRF, MWF, MW, MW, MW, Thursday Dec. 13, 2012 May 16, 2012 MTRF, TWR, TR,, MTWR MTRF, TWR, TR,, MTWR TWR, TR,, MTWR TWR, TR, **Friday only classes will have final exams during their regularly scheduled class time on Friday, Dec. 14, 2012/May 10, **Saturday classes will have final exams during their regularly scheduled class time on Saturday, Dec. 8, 2012/May 11, Evening Classes Final Exam Schedule All classes beginning at 4:00pm or later will have final exams during their regularly scheduled class period during the final exam week (Dec , 2012; May 10-16, 2013). Evening classes which meet on more than one day of the week will have final exams on the earlier day of the week. Final Exam Policy If a student has 3 or more final examinations scheduled for the same day, the student is required to take two exams that are scheduled for that day and to make arrangements with the other instructor(s) to re-schedule the other final examination(s). The student must notify the instructor(s) about such conflicts by the withdrawal deadline of the affected classes. Syllabus Disclaimer: This syllabus is subject to change. Changes will be announced in class.

3 Relationship to academic development programs and transferability: MATH 163 fulfills 4 of the 3(AA), 6(AS), or 12(AAT) semester hours of credit in Mathematics. MATH 163 should transfer as part of the General education core curriculum described in the Illinois Articulation Initiative to other Illinois colleges and universities participating in the IAI. However, students should consult an academic advisor for transfer information regarding particular institutions. Refer to the IAI web page for information as well as COURSE OUTLINE: 1. Vectors in the Plane and in Space 2. Vector-Valued Functions 3. Differentiation of Multivariable Functions 4. Integration of Multivariable Functions 5. Analysis of Vector Fields COURSE OBJECTIVES (LEARNING OUTCOMES) Learning Outcomes GE Assessment code Understand functions of many variables from graphical, symbolic, and numerical perspectives. C3 Represent multiple quantities with vectors. CO2 Understand vector-valued functions. Apply differentiation techniques to functions with multiple variables. Optimize functions of several variables, with and without constraints. PS4 Apply integration techniques to multivariable functions. Determine mass, moments, and motion of particles in 2-space and 3-space. Understand the properties and theorems (e.g., Stoke s, Greene s, etc.) essential for vector analysis. CT3 Method of Evaluation (Tests/Exams, Grading System): Student grades are based on successful completion of homework, quizzes, tests and other assignments. Your grade is based upon cumulative total points. There is no weighting of grades for quizzes or exams, but these will be worth more points than your assignments. Grade Scale: % A 89 80% B 79 70% C 69 60% D 59-0% F

4 Method of Evaluation: Homework: Individual offline homework, group assignments & projects and MyMathLab 20% Quizzes: 10% Unit Tests 50% Final 20% Total 100% Late work policy: I don t accept late work. Due dates are set in MLP so that students are able to plan ahead to complete work by the due date. Attendance Policy: You are expected to attend class. Further, you are responsible for all material distributed in class, announcements made in class, and content covered in class. Nine days of absence prior to midterm will result in being withdrawn from the course regardless of your current grade for the semester; thirteen days of absence prior to the final withdraw date will result in being withdrawn from the course regardless of your current grade for the semester. Student Evaluations In the last 3 4 weeks of class, all students are expected to complete a course evaluation form online, at More information about evaluations will be provided in class. Student Conduct, Academic Integrity, Plagiarism, Incompletes Please refer to the Student Services section in the Heartland Community College Catalog for specific policies concerning discipline, academic integrity, plagiarism and incompletes. Heartland Library Information The Library, located in the Students Commons Buildings at the Raab Road campus, provides Heartland students with a full range of resources including books, online journal databases, videos, newspapers, periodicals, reserves, and interlibrary loan. Librarians are available to assist in locating information. Tutoring Center: Testing Center: Academic Disabilities If you have a documented disability and wish to discuss academic accommodations, please contact Anita Moore at or anita.moore@heartland.edu. Notice of Cancelled Class Sessions

5 Cancelled class sessions, for all HCC classes, will be listed under Cancelled Class Meetings in the A-Z Index and under Academic Information in the Current Students page on the HCC Web site. Go to to learn what classes have been cancelled for that day and the upcoming week. Be sure to check the last column, which might contain a message from the instructor. Syllabus Disclaimer: This syllabus is subject to change. Any changes will be announced in class. Week Text Topic Assessment Parametric Equations, Polar Curves, MLP HW Calculus in Polar Coordinates , Conic Sections, Vectors in the Plane, MLP HW;Quiz 11.2 Vectors in Three Dimensions , 11.4 Dot Products, Cross product and review Lines and Curves in Space ; Exam 1( , ) Calculus of Vector-Valued Functions, Motion in Space, Length of Curves , 12.1, Curvature and Normal Vectors, Planes , 12.4, review and Surfaces Planes and Surfaces, Partial Derivatives ; Exam 2( , ) , 12.6 The Chain Rule, Directional Derivatives and the Gradient Tangent Planes and Linear Approximation, Maximum/Minimum Problems, Lagrange Multipliers Double Integrals over Rectangular Regions, Double Integrals over General Regions, Double Integrals in Polar Coordinates , review Triple Integrals ; Exam 3( , 13.1, 13.4)

6 Change of Variables in Multiple Integrals, Triple Integrals in Cylindrical and Spherical Coordinates Integrals for Mass calculations Vector Fields, Line Integrals, Conservative Vector Fields Green s Theorem, Divergence and Curl, , 14.8, review Surface Integrals Stokes Theorem, Divergence Theorem ; Exam 4( , ) 16 Review 17 5/14/2013 Tuesday; 2 3:50 pm Final Exam(ch all)