Math 221 Calculus I
Mrs. Elizabeth A Smith
Office: Tarpley 308 770 720 9103 EAS1@Reinhardt.edu
Spring 2011
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TEXT: This book will be used for Calc 1 and Calc 2
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
problems.
to bring knowledge from a wide range of mathematical areas to bear on the solution of
MPO3
to use effective written and oral expression of mathematical concepts in the creation of a
mathematical argument.
MPO4
technologies.
to understand and to apply methodologies using libraries and informational
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.
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 2011
Monday & Wednesday
8:00–10:00 Math 221 Calculus I
12:00–1:15 Math 211 Concepts and Connections II
Tuesday &
8:00 – 9:15
9:30 – 10:45
12:30 - 1:45
Thursday
Math 102 College Algebra
Math 102 College Algebra
Math 116 Pre – Calculus
Office Hours: Monday and Wednesday 10-12:00