Math 221 Calculus I

Mrs. Elizabeth A Smith

Office: Tarpley 308   770 720 9103   EAS1@Reinhardt.edu

Spring 2011

 

• 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            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 2011

 

Monday & Wednesday

8:00–10:00 Math 221 Calculus I

12:00–1:15    Math 211 Concepts and Connections II

 

Tuesday  &   Thursday

8:00 – 9:15    Math 102 College Algebra

9:30 – 10:45  Math 102 College Algebra

12:30 - 1:45    Math 116 Pre – Calculus

 

Office Hours: Monday and Wednesday 10-12:00