LECTURE: M-Th:
10:00-11:50am (Section 2) or 13:00-14:50pm (Section 4) in Sp-208; F: 11:00-11:50
INSTRUCTOR: Dr. Pante STANICA, 268 Spanagel,
656-2714,
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OFFICE HOURS: M,T,W,Th 12;00-1:00pm
(since I will teach 4 hours/day, abstain from making appointments which you will
not keep)
(Be aware that office hours are not a substitute for regular class time)
TEXT: Calculus: Early Transcedentals
(6th� ed.); by
James Stewart, 2008.
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. Let us hope it will not
be the case.
(Hours to be spent on the topic)-(Total
quarter hours)
1-1: Real numbers, Inequalities, Absolute Value, Coordinate Geometry &
Lines, Appendix A, B
1-2:
Trigonometry, Radian Measure Appendix D
1-3:
Functions and their Representations 1.1-1.3
1-4:
Exponential Functions 1.5
2-6:
Inverse Functions & Logarithms 1.6
2-8:
Limits of Functions, Limit Laws 2.1-2.3
1-9:
Continuity 2.5
1-10:
Limits at Infinity; Horizontal Asymptotes 2.6
1-11:
Tangents, Velocities & Rates of Change 2.7
1-12: The Derivative as a Function 2.8
2-14
Derivatives of Polynomials & Exponential Functions 3.1
1-15: Product & Quotient Rules 3.2
1-16: Derivatives of Trigonometric Functions 3.3
2-18:
Chain Rule 3.4
1-19:
Implicit Differentiation 3.5
1-20: Derivatives of Logarithmic Functions 3.6
1-21:
Exponential Growth and Decay 3.8
1-22:
Related Rates 3.9
1-23:
Linear Approximations and Differentials 3.10
1-24:
Hyperbolic Functions 3.11
1-25:
Maximum & Minimum Values 4.1
1-26:
Mean Value Theorem 4.2
1-27:
How Derivatives Affect the Shape of Graphs 4.3
2-29:
Indeterminate Forms & L ’Hospital’s Rule 4.4
2-31:
Curve Sketching 4.5
2-33:
Optimization Problems 4.7
1-34:
1-35:
Areas & Distances 5.1
1-36:
Definite Integrals & Riemann Sums 5.2
1-37:
Fundamental Theorem of Calculus 5.3
1-38:
Indefinite Integrals & the Net Change Theorem 5.4
1-39:
Substitution Rule 5.5
2-41:
Integration by Parts 7.1
4-45: Review, Exams
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 from the assigned homework.
TESTS: A test (50pts) will be given every Friday and the lowest score will be dropped. No make-up tests will be given except in extraordinary circumstances (e.g. illness - present verified doctor's excuse). If there are any changes in schedule or test date/policy, I will announce it in class at least a few days 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 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. Do not bring food (drinks are fine) in classroom. 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 homepage regularly for info on the course.
* Good luck ! I hope you will all master Calculus and make good grades!