Math 221 Calculus I
Mrs. Elizabeth A Smith
Office: Tarpley 308 770
720 9103 EAS1@Reinhardt.edu
Spring 2012
- TEXT: This book will be
used for Calc 1 and Calc 2 and Calc 3: If you can get the solutions manual with it - it is WORTH it!!
- Calculus:
Concepts and Contexts (James Stewart's Calculus Series)
- Publisher:
Brooks Cole Centegage; 4 edition
- ISBN-10: 0495557420 ISBN-13: 978-0495557425
A
graphing TI 83 or TI 84 calculator is required. If you have a different
graphing calculator that is fine as long as you have the manuel and can learn
on your own time how to use it.
I.
COURSE COVERAGE: Chapter 1 - 5.5 (skip
4.7)
II.
CATALOG DESCRIPTION: This course is an introduction to both differential and
integral calculus. Topics include limits; continuity; differentiation of algebraic
and trigonometric functions; derivatives; product and quotient rules; chain
rule; implicit differentiation; related rates; maxima and minima; concavity;
antiderivatives; the definite integral; numerical integration; the natural
logarithm and inverse trigonometric functions Prerequisite: College placement or a grade of C or better in MAT 116.
III. OBJECTIVES:
1. be able to evaluate basic limits
2. understand the concept of continuity
3. be able to take derivatives of basic functions
4. use the fundamental derivative rules
5. take derivatives implicitly
6. solve related rates problems
7. solve maximum and minimum problems
8. work with the idea of concavity
9. take simple antiderivatives
10. evaluate a definite integral by the Fundamental Theorem of
Calculus
11. perform a numerical integration
12. perform integrals involving logarithm and inverse
trigonometric functions.
IV. GRADING
SCALE:
A
90 – 100 B 80 – 89
C 70 – 79
D
60 – 69 F Below 60
V. ATTENDENCE: Math is a subject that builds on information
learned on previous days. If you are absent YOU are responsible to get the
assignment off the syllabus and complete it on time.
2 TARDIES to class = 1 absence
4 or more absences = 5 points off test for each absence over 3
As a reward if you miss 2 or less classes you will get 5 extra points on your lowest
test.
If you are absent on the day of a test then that will be your lowest test grade
dropped and you MUST take the final exam.
THERE ARE NO MAKEUP TESTS GIVEN FOR
ANY REASON. If you know you have to miss a test ahead of time you
can make arrangements to take the test at an earlier time or day.
Academic Achievement Policy: AFTER the first test IF you have an A average
in this class you can choose to do as much or as little homework as you feel is
needed. You must do several problems for each assignment but if you know that
you have mastered that material you can stop at any point. If your average
falls below an A after the next test then you MUST complete all the forthcoming
assignments.
GRADE DETERMINATION:
The grade will be based on four one-hour tests, a final, and notebook
grades (homework)
Tests (final exam and chapter tests) 80% Notebook 20% (NO late work will be
accepted)
If no tests have been missed then the lowest test will be dropped.
If you have not missed a test
AND have 3 or less absences (2 lates
count as an absence) AND if you are happy with your grade before taking the
final, you may exempt the final as your drop grade. Example: You meet the
above requirements and you have an 84 average you can take your B in the class
and exempt the final exam.
VI.
CONCEPTUAL FRAMEWORK:
The science department at Reinhardt
College believes that all students should have an exposure to the ideas of
science and the scientific method. This includes
exposure to laboratory procedures, familiarity with some of the vocabulary of
science and ability to read scientific articles in the newspaper or in popular
magazines.
The science department at Reinhardt
College believes that all students should be familiar with the systematic
development of science through history. This includes an understanding of the effects that science
has had on history and that history has had on scientists.
The science department at Reinhardt
College wishes to convey to students that science is a continuing endeavor that
will not ever be finished. This includes an introduction to the
interaction of theory and observation.
VII.
COURSE RELATIONSHIP TO CONCEPTUAL FRAMEWORK:
The course will be taught using applied problems, a graphing
calculator and laboratory exercises.
VIII. LEARNING OUTCOMES:
Students
will demonstrate:
A.
Integrative, critical thinking and inquiry-based learning using evidence,
logic, reasoning, and calculation.
B.
Knowledge of various research methodologies; information, technological, and
scientific literacy.
C.
Proficency of the calculus skills needed for future classes.
IX. CSS:
The
Center for Student Success is located on
bottom floor of Lawson, room 035. CSS offers free peer and faculty tutoring for
all subjects.
For
appointments, go to Reinhardt webpage; click on Academics. When the next
page appears, click Center for Student Success. On that screen, click Student
Appointment Form. Fill out required
fields (signaled by a red dot) and then submit your request. Dr. Emanuel will
contact you within the same day to confirm your appointment.
X. Mathematics Program Objectives
As a result of
completing a Bachelor of Science Degree at Reinhardt College a student should
be able
MPO1 to use
reasoning, logic and evidence in mathematics.
MPO2 to bring
knowledge from a wide range of mathematical areas to bear on the solution of
problems.
MPO3 to use
effective written and oral expression of mathematical concepts in the creation
of a
mathematical argument.
MPO4 to
understand and to apply methodologies using libraries and informational
technologies.
MPO5 to
understand the development of an axiomatic system.
MPO6 to
understand the application of mathematics through computer programming and
numerical analysis.
MPO7 to recognize a wide range of mathematical
terms and vocabulary.
XI. HOMEWORK ASSIGNMENTS: You must do the entire assignment for
Chapter 1 if you have an A average after test #1 you can choose to do as much
or as little homework as you need to KEEP an A average. Remember NO late work will be accepted.
*** For those of you using the newest edition (no even answers in the back) you can substitute in ODD problems in the same section to replace the even number problems. *******
1.1 1,2,6,7,9,11,18,20,22,23,25,28,29,32,33,39,43,47,51,56,57,63,68
1.2 1,2,4,6,10,12,13,15,18,19,21,22,24
1.3 1,2,3,4,8,19,29,31,39,41,44,50,51,53,55,59,64
1.4 1,2,3,5,8,11,13,15,16,18,21,23,24,25,29,31,32,35
1.5 2,3,4,5,9,13,14,17,19,20,21,23,24,26,30,31,36
1.6 3,6,9,10,13,15,18,19,22,25,26,28,29,31,32,35,36,37,39,50,52,55,59,61
1.7 1,3,5,7,10,14,17,23,26,31,36,42
Review Assignment:
2.1 1,2,3,5,7,8,9
2.2 1,2,3,5,8,10,15,17,19,22,25,28,30
2.3 1,2,5,6,7,8,15,18,21,25,27,28,32,35,38,43,46
2.4 1,2,3,4,6,7,9,10a,10b,11,12,14,17,18,19,
2.5 1,2,3,4,5,7,12,13,15,23,25,28,35,39,43,47,51,54
2.6 1,2,3,4,7,10,11,13,14,15,17,19,21,22,24,25,28,32,41,44,47,48
2.7 1,2,3,7,8,11,12,15,17,20,25,28,31,32,33,36,41,42,49
2.8 1,3,5,7,8,9,11,13,16,19,21,23,25,27,28,32
Review Assignment:
3.1 1,2,3,8,10,11,12,19,23,26,28,31,35,40,43,45,46,48,43,58,59,63,
3.2 1,2,3,4,5,8,10,15,16,21,25,29,31,32,36,38,40,41,45,48,49,50,57
3.3 2,5,9,11,13,14,17,18,19,23,26,29,32,35,36,41,42,46,47
3.4 1,,2,4,5,7,8,11,12,16,19,26,27,30,33,37,45,46,55,56,57,67,73,74,75,78,79
3.5 1,2,3,4,7,11,13,16,23,27,32,33,36,48,51,54
3.6 1,2,3,4,5,7,13,14,18,19,20,23,27,32,33,36,39,42,44
3.7 3,5,7,10,13,17,22,25,27,28,35,37,39,42,44
3.8 2,3,5,6,8,9,12,13,18,20,25,27,30,34
3.9 1,2,5,7,10,13,14,22,23,26,28,35,36
Review Assignment:
4.1 1,2,4,6,11,12,14,15,20,22,23,26,31,33,37,38,42
4.2 1,4,5,9,10,11,17,26,29,35,37,40,43,45,47,51,59,61,63
4.3 1,2,3,6,8,9,13,14,18,19,20,23,27,30,32,36,39,41,49,65,66
4.4 2,5,19,22,24,27,30,33,36
4.5 1,3,4,6,9,10,12,16,20,24,29,33,37,43,44,47,53,57,58,61,66,67
4.6 1,2,4,5,7,9,11,16,19,22,23,25,27,32,43,47,48
4.8 1,5,10,13,17,22,27,36,38,40,43,47
Review Assignment:
5.1 1,3,5,11,12,13,15,17,19,20,23,24
5.2 1,2,4,6,7,9,10,12,17,19,22,24,26,31,32,35,39,41,43,47,48,51,54,
5.3 1,3,7,8,10,14,18,28,31,34,37,43,47,49,51,53,55,59,64,67,70
5.4 1,3,4,6,7,8,9,12,17,20,23,25,29,30,32
5.5 1,3,4,6,7,12,14,19,20,21,29,32,34,39,47,50,55,61,63,64,67,68,72
Review Assignment:
Mrs.
Smith Teaching Schedule Spring 2012
Monday
& Wednesday & Most Fridays
10:00-11:40 Math 221 Calculus I
12:00–1:15
Math 211 Concepts and Connections II
Tuesday &
Thursday
8:00 – 9:15 Math 116 Pre – Calculus
9:30 – 10:45
Math 102 College Algebra
12:30 - 1:45 Math 102 College Algebra
Office Hours: Monday and Wednesday 8:30-10:00