LECTURE:
Mon & Th: 10:00-11:50am; Fri: 14:00-14:50pm Sp-408
INSTRUCTOR: Dr. Pante STANICA, 242B Spanagel, 656-2714,
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OFFICE HOURS:
M-Th: 9:10-9:50am and/or by appointment
(Be aware that office hours are not a substitute for regular class time)
TEXT: Calculus: Early Transcendentals (7th� ed.); by James Stewart, 2012.
CALCULATOR POLICY: Using a CAS like Mathematica or Maple can give more
insight but it is not required. From
time to time we will be using technology tools to get more insight into the
topics.
MATERIAL
TO BE COVERED (and Objectives for the course�subject to be adjusted along
the way):
Depending on
how you react, I may spend more or less time on a topic, however, all the
topics will have to be covered, which means that you may have to cover some
material yourselves, in the comfort of your homes, with me answering your
questions the next class.
(Hours
to be spent on the topic)-(Total quarter hours): Sections
1-1
Curves Defined by Parametric Equation 10.1
2-3 Tangents & Areas, Arc Length & Surface Area 10.2
2-5 Polar Coordinates 10.3
1-6 Conic Sections 10.5
1-7 Three-Dimensional Coordinate Systems, Vectors 12.1, 12.2
1-8 Dot Products 12.3
1-9 Cross Products 12.4
2-11 Equations of Lines and Planes 12.5
1-12 Cylinders and Quadric Surfaces 12.6
1-13 Cylindrical and Spherical Coordinates 12.7
1-14 Vector Functions and Space Curves 13.1
1-15 Derivatives and Integrals of Vector Functions 13.2
1-16 Arc Length and Curvature 13.3
1-17 Motion in Space: Velocity and Acceleration 13.4
1-18 Functions of Several Variables 14.1
1-19 Limits and Continuity 14.2
1-20 Partial Derivatives 14.3
1-21 Tangent Planes and Linear Approximations 14.4
2-23 Chain Rule 14.5
2-25 Directional Derivatives and Gradient Vector 14.6
2-27 Maximum and Minimum Values 14.7
2-29 Lagrange Multipliers 14.8
1-30 Double Integrals over Rectangles 15.1
1-31 Iterated Integrals 15.2
2-33 Double Integrals over General Regions 15.3
1-34 Double Integrals in Polar Coordinates 15.4
2-36 Triple Integrals 15.7
2-38 Triple Integrals in Cylindrical and Spherical Coordinates 15.8
2-40 Change of Variables in Multiple Integrals 15.9
5-45 Exams, Review and Holidays
HOMEWORK: You are encouraged to do as many problems as you can
from the book. However the standard (default) assignment for each week is to
read carefully the indicated sections and to prepare for homework the problems
I will assign in class. The homework will not be collected. However the exams
may contain problems (or similar to the ones) from the assigned homework.
TESTS (tentatively): Two regular class-time tests (first test on Chapters 10&12; test two on Chapters 13 & 14) and a final exam (on Chapter 15) in the last class week (for us) on Friday; each test will contain 5-10 problems and will be worth 100 points. No make-up tests will be given except in extraordinary circumstances (e.g. illness - present verified doctor's excuse). I reserve the right to give pop quizzes (1-5pts), which will be used toward the final grade, as an add-on (extra credit) to the final score (to make up for the missed problems on the test). If the test dates will be changed (or the material that will be covered on each test) I will announce it in class at least one week in advance. It is your responsibility to stay informed of such changes.
ACADEMIC HONESTY: Cheating in this course will not be tolerated
and will be dealt with as harshly as the University permits. I will report any
student behavior that appears contrary to the standards of discipline and
academic honesty or in violations of the provisions described in the current
edition of NPS Student's Catalog.
CLASS
ATTENDANCE AND ENVIRONMENT:
You should do every attempt to arrive on time and attend each class. You are
responsible for the material covered in missed classes. I do not tolerate any
rude behavior; however, I encourage constructive comments on the material
and/or lecture. We have to maintain a class environment conducive to learning therefore
I am against bringing �active� cell phones, pagers, and other similar
disruptive devices into the classroom. Children may not be brought into the
classroom except in emergency circumstances and with my permission. When on
breaks, please respect other classes in sessions and avoid disturbing them.
NOTES:
* It is a bit of material to be covered at a very fast pace, so, I advise you
not to fall behind.
* If it is necessary, there will be updates of this handout. Make sure you
check my personal homepage, regularly, for info on the course.
* Good luck ! I hope you will all master Calculus and make good grades!
Homework:
Chapter 10:
10.1: 1, 7, 14, 15, 19, 28 & 37(Maple)
10.2: 3, 6, 7, 15, 17, 31, 33, 37(set-up), 41, 43, 57, 59
10.3: 1-9(odd), 17, 18, 22, 31, 33, 43, 61
10.4: read the section
10.5: 1, 3, 11, 15, 23, 27, 29, 35, 39, 43
Chapter 12:
12.1: 3, 7, 9a), 15, 17
12.2: 5, 7, 13, 17, 19, 23, 31
12.3: 3, 5, 7, 9, 17, 23, 31, 35, 39, 41
12.4: 1, 4, 11, 13, 19, 29, 33,
12.5: 3, 7, 11, 19, 23, 26, 29, 43, 49, 53, 55, 69
12.6: 3, 11, 13, 15, 17, 33, 35; (sketch by Maple, where required)
EXAM 1
Chapter 13:
13.1: 1, 3, 5, 17, 41, 43
13.2: 3, 6, 9, 11, 13, 14, 17, 23, 27, 33, 35, 37, 39; (sketch by
Maple, if necessary)
13.3: 1, 3, 13, 17, 19, 23, 25, 27, 43, 45
13.4: 7, 8, 9, 13, 16, 17, 19, 37, 41
Chapter 14: (check out these Maple and Mathematica
worksheets, along with some other resources)
14.1: 9, 11, 13, 15, 19, 26, 28, 43, 45
14.2: 5-17 (all odd), 29, 33, 35, 39, 41
14.3: 15, 17, 23, 25, 29, 35, 39, 45, 51, 57
14.4: 4, 13, 15, 25
14.5: 1, 3, 7, 9, 21, 23, 27, 29
14.6: 5, 10, 13, 15, 21, 25, 43
14.7: 5, 7, 9, 15, 29, 33, 39, 47, 50
14.8: 3, 5, 7, 9, 15
EXAM 2
Chapter 15:
15.1: no assigned homework, except for you to read the section
15.2: 3-17 (all odd), 25, 29, 31
15.3: 7, 9, 11, 14, 15, 19, 23, 25, 27
15.4: 9, 11, 12, 15, 17, 19, 29, 31
15.7: 5, 7, 9, 15 (evaluate), 19, 23a), 27
15.8: 9, 17, 21, 23, 30
15.9: 3, 5, 7, 13, 21, 23, 25, 39, 41
15.10: 15, 16
EXAM 3