Math 213: Calculus-3 Fall 2016

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1 Math 213: Calculus-3 Fall 2016 Instructor: Dr. Ruzanna Baytaryan Office: HSLH 341 Office Hours: MW 11:30 AM 1:30 PM or by appointment Website: Textbook and Supplies The language of calculus has spread to all scientific fields; the insight it conveys about the nature of change is something that no educated person can afford to be without Everybody Counts, National Research Text: Calculus by James Stewart (7 th ed.) Supplies: You may need a graphing calculator for some homework exercises and for checking your work. However, no calculators will be used on quizzes/tests or the final exam. Course Description Presents vectors and vector calculus, functions of several variables, partial derivatives, multiple integrals, line integrals, line and surface integrals, Green s Theorem, the Divergence Theorem, Stokes Theorem. Student Learning Outcomes: By the completion of the course a student should be able to i) Calculate and apply various types of derivatives and integrals in 2-space and 3-spaace. ii) Apply fundamental theorems to compute vector integrals. Homework/Quizzes Homework will be assigned at the end of each class period. However, it will not be collected. Instead, there will be in-class quizzes throughout the semester. The problems on the quizzes will be taken directly from the previous homework assignments. No makeup quiz will be given under any circumstances. Your lowest quiz score will be dropped.

2 Exams You will have four chapter exams and a comprehensive final exam. Do not miss them! No makeup tests will be given under any circumstances. If you know in advance that you will miss an exam, then it is possible to arrange to take it in advance, but no exam will be given after the class has taken it. Your lowest test score may be replaced by your final exam score to improve your final grade. I strongly recommend that you keep all homework-quizzes and exams until you receive your course grade in case you have questions regarding your grade. Grading Your final grade will be computed from your homework-quizzes, chapter tests, and your final exam scores. Any missing exam will be scored zero. The following grade-calculation grid will be used to determine your final grade. Grade Percentage Weight Total Quiz Average X 15% (0.15) = Chapter Exam Average X 60% (0.60) = Final Exam X 25% (0.25) = Overall grade percentage in class Grading Scale: A = % B = 80 89% C = 70 79% D = 60 69% F = Below 60% Attendance: We have a lot of material to cover and understand, so regular attendance is crucial to your success in the class. Please come on time and stay for the duration of the class. If you cannot attend regularly, on time, and stay for the entire class, you should take this class at another time that fits your schedule. Students arriving late or leaving early, without authorization from the instructor, may be marked tardy. Two recorded tardies will count as one absence. Excessive absences may result in being dropped from the class. Expectations: A collaborative and respectful environment is anticipated. I expect you to come to class with a commitment to learn and to take responsibility for your learning. This means participating in the discussions and in-group work, taking notes, and helping others to learn. Please ask questions and let me know if you have difficulties. If you feel you may need an accommodation based on the impact of a disability, please contact me privately to discuss your specific needs. You will be asked to leave if you engage in any inappropriate behavior during class. Cell phones are to be turned off during class. Neither food nor drinks are allowed in the classroom with the exception of bottled water.

3 Academic Assistance Homework, concept, and test preparation help is available at The Learning Center (TLC), located next to the Library on the Valencia Campus and in room 306 on the Canyon Country Campus. Please note, homework will not be done for you, but you will receive valuable assistance from friendly and helpful tutors in learning and clarifying the processes of solving math problems. Fall 2016 Tutoring Hours: Valencia Campus: 8:00 a.m. 8:00 p.m. Monday Thursday; 9:00 a.m. 1:00 p.m. Friday and Saturday Canyon Country Campus: 9:00 a.m. 7:00 p.m. Monday Thursday MANAGEMENT OF STRESS AND MENTAL HEALTH: Often the pressure on our students is very strong, involving academic commitments, relationships, outside jobs and family pressure to name a few. The staff and faculty of College of the Canyons are here to see you succeed academically and care about your emotional and physical health. You can learn more about the broad range of confidential student services, including counseling and mental health services available on campus by visiting the Student Health & Wellness Center in the Student Services Building (across from the bookstore) or by clicking on The phone number is Also, the National Suicide Hotline number is All students at COC are encouraged to enter that phone number in their cells. You can it call when you, or someone you know, is having thoughts of suicide or is in severe distress. Associate Degrees/Transfer Information Recent California Legislation guarantees admission to a California State University (CSU) campus for any community college student who completes an associate degree for transfer. The Associate in Science for Transfer (AS-T) in Administration of Justice, Computer Science, Geology, Mathematics, and Physics or the Associate in Arts for Transfer (AA-T) in Geography, is intended for College of the Canyons students who plan to complete a bachelor's degree in a similar major at a CSU campus. Students must earn a C or better in all courses required for the major or area of emphasis. The College also offers associate degrees in Administration of Justice, Biology, Computer Science, Engineering, Fire Technology, Math, Medical Laboratory Technician, Nursing (LVN to RN), and Registered Nursing. For more information on the suggested sequence of classes to be taken in order to obtain these degrees in two years, as well as information on when these courses are guaranteed to be offered, please visit:

4 Tentative Schedule Calculus III Math 213 Fall 2016 Tuesday Thursday 1 08/23/16 Introduction 12.1 Three Dimensional Coordinate Systems 12.2 Vectors 08/25/ Vectors 12.3 The Dot Product 2 08/30/ The Cross Product 12.5 Equations of Lines and Planes 09/01/ Equations of Lines and Planes 12.6 Cylinders and Quadric Surfaces 3 09/06/ Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 09/08/ Arc Length and Curvature 4 09/13/ Motion in Space: Velocity and Acceleration 09/15/ Functions of Several Variables 14.2 Limits and Continuity 5 09/20/16 Test-1 ( ) 09/22/ Partial Derivatives 14.4 Tangent Planes and Linear Approximation

5 6 7 09/27/ The Chain Rule 14.6 Directional Derivatives and Gradient Vector 10/04/ Double Integrals Over Rectangles 15.2 Iterated Integrals 09/29/ Maximum and Minimum Values 14.8 Lagrange Multipliers 10/06/16 Test-2 ( ) /11/ Double Integrals General Regions 15.4 Double Integrals in Polar Coordinates 10/18/ Surface Area 15.7 Triple Integrals 10/13/ Applications of Double Integrals 10/20/ Triple Integrals 15.8 Triple Integrals in Cylindrical Coordinates /25/ Triple Integrals in Spherical Coordinates Change of Variables in Multiple Integrals 11/01/16 Test-3 ( ) 10/27/ Vector Fields 16.2 Line Integrals 11/03/ Line Integrals 16.3 The Fundamental Theorem for Line Integrals

12 11/08/16 16.3 The Fundamental Theorem for Line Integrals 11/10/16 16.

6 Parametric Surfaces and Their Areas 11/17/16 16.7 Surface Integrals 14 11/22/16 16.

6 12 11/08/ The Fundamental Theorem for Line Integrals 11/10/ Green s Theorem 16.5 Curl and Divergence 13 11/15/ Parametric Surfaces and Their Areas 11/17/ Surface Integrals 14 11/22/ Stokes Theorem 11/24/ /29/ The Divergence Theorem 12/01/16 Test-4 ( ) 16 12/06/16 12/08/16 Review for Final F I N A L E X A M

SOUTHWEST COLLEGE Department of Mathematics

SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2415: CALCULUS III (DISTANCE EDUCATION) SPRING 2015 / SS TERM / CRN 48306 / FEBRUARY 14 MAY 17/ INSTRUCTOR: Dr. Jaime L. Hernández CONTACT