MATH 150– CALCULUS ONE
SPRING 2008
Dr. Emmett C. Dennis
Office – Engleman Hall D112
Telephone - 203-392-5582
E-Mail - dennise1@southernct.edu
Course Syllabus
CATALOG DESCRIPTION
This is the beginning course in a three-semester sequence of calculus. Topics to be covered include Functions, Limits, Differentiation of Algebraic, Trigonometric, Exponential and Logarithmic functions with applications, Indeterminate Forms, Elementary Integration, and Riemann Sums. A TI-83 Plus or TI-84 graphing calculator is required.
COURSE RATIONALE, DESIGN, AND OBJECTIVES
The use of functions as a basis for knowledge about algebra is a vital necessity for the creation of a smooth transition into the intricate problem solving and mathematical reasoning skills needed in a calculus course. In addition to mastering the fundamental algebraic and computational properties of functions, students need to develop a good sense of the graphical behavior of functions in order to develop a conceptual base for understanding the more technical and advanced aspects of calculus. For those students who have immediate goals after this course that do not include calculus II or III, it is important that they take note of the many relevant applications that are inherent in this calculus course, and use the knowledge received from this study of mathematics to enhance their understanding of the mathematical nature in their major area of study.
This course is designed to provide a foundation whereby students
1) develop a good understanding of intermediate algebra
2) develop the ability to reason logically and rigorously
3) are prepared for higher level mathematical courses
4) develop techniques for solving problems that may arise
in everyday life.The course goal can be stated as two student objectives:
1) Differential Calculus: To gain conceptual and practical knowledge and understanding of the derivative as it relates to functions.
2) Integral Calculus: To acquire skills needed to integrate functions of all types .
Course Objective
The student will have a clear understanding of and will be able to apply:
Limits and Continuity of functions
Some techniques of finding the limits of algebraic and trigonometric functions.
Derivative of a function
Some techniques of Differentiation
The Chain Rule and Implicit Differentiation
Logarithmic and Exponential Functions
Related Rates
L'Hopital's Rule
Analysis of functions (increasing, decreasing, concavity etc..)
Rolle's Theorem and Mean Value Theorem
Some applications of Derivative in real world problems
Area Problems, Indefinite Integral
Integration by Substitution, Definite Integral
Fundamental Theorem of Calculus
Required Text and Calculator
Thomas' Calculus, Early Transcendentals, 11th Ed, Pearson Ed 2008
TI-83 Plus or TI - 84 Graphing CalculatorPre-requisites
MAT 122 (Precalculus) with a C- or better passing grade.
Or an appropriate satisfactory score on the SCSU Mathematics Placement Exam
Reference Texts
Larson, Hostetler & Edwards, (2007). Calculus, Early Transcendentals Functions, 4th Ed Houghton Mifflin Company
Sullivan, (2005). Precalculus, 7th Ed. Pearson Prentice Hall
Email List
All students will be expected to get an email address for this class. An SCSU email address is provided automatically as long as you are a student at SCSU. An email list will be compiled and correspondence will be conducted by email between me and all of the students in this class. Bonus problems will be given through our Calculus I internet site.
The following internet web site has been created for this class:This site contains additional information and references to help you understand and apply the material in this course. You will need to purchase a Student Registration Code at this site with a credit card. You will need to use this Instructor Code to enter into my Course Website: The Instructor Code is: dennis84136.
Here are some instructions that will give you guidance as you set up your MyMathLab website
MyMathLab PlugIns Information
You will do Homework and Quizzes at this website. Other links that could be helpful in your academic career will also be posted at this site.
If you have internet experience you should have no difficulty accessing this site. If you have no experience, there will be several optional class meetings where you can learn these skills at a level that will allow you to work adequately for this class.
This is the link back to my webpage:
Appointments and Office Hours
Some students might desire additional clarification and/or information on some of the topics discussed in class. Formal office hours have been scheduled in Engleman Hall D112 on Mondays and Wednesdays from 6:00 pm to 7:00 pm, Tuesdays and Thursdays from 2:00 pm to 4:00 pm. . Specific appointments can be arranged at other times convenient to your schedule.
Course Assignments
Readings. The attached class schedule describes the course readings. Additional handouts will be distributed during the semester. Readings/homework assignments should be completed for the designated date.
Examinations. At least three Tests and a Final Exam will be administered during the semester. The Final Exam will be worth 28% of your grade. The Three Tests will be worth 44% of your grade. The other 28% of your grade will come from your class participation, plus In-class and Internet Homework quizzes.
Performance Assessments. Homework assignments, class attendance and participation, class tests will all be counted as part of your ongoing assessment during the class.
Class participation. Your success in this class is dependent on your attendance and participation. Both are expected. Class participation will be assessed in two ways. The first is your contribution to class discussions and activities. This includes times when we meet formally as a class as well as your use of my time during my office hours. I expect you to come to my office at least three times during the semester.
The second is your attendance to class. Anyone with more than 4 unexcused absences will be dropped from the class.
Assessment and Evaluation
Course grades will be the weighted average of all assignments and tests.
Inclass and Homework Quizzes 14%.
Three Class tests 44% .
Internet Quizzes 14%.
Class participation and bonus points 5%.
Final exam 28%.
Class Schedule, Classwork, and Homework Assignments
Date Topics Classwork Homework Assignments Tests week 1 Calculus Class Worksheets Homework qz 1.1 - 1.6 - Week 2 Sec 2.1 - 2.3 Class Worksheets Homework qz Sec 2.1-2.3 - Week 3 Sec 2.4 - 2.5 Class Worksheets Homework qz Sec. 2.4-2.5 - Week 4 Sec 2.6- 2.7 Class Worksheets Homewk qz Sec. 2.6-2.7 Week 5 Section 3.1 -3.3 Class Worksheets Homewk qz Sec. 3.1-3.3 - Week 6 Section 3.4 -3.5 Class Worksheets Homewk qz Sec. 3.4-3.6 - Week 7 Review for Test One and Section 3.6 Test One Homewk Sec.3.6 Test One Week 8 Section 3.7 - 3.9 Class Worksheets Homewk qz Sec 3.7 - 3.9 Week 9 Section 4.1-4.3 Class Worksheets Homewk sec.4.1-4.3 - Week 10 Sections 4.4-4.5 Class Worksheets Homewk.Sec.4.4 - 4.5 - Week 11 Review for Test Two and 4.6 Test Two Homewk Sec 4.6 Test 2 Week 12 Section 4.8, 5.1 Class Worksheets Homewk Sec.4.8, 5.1 Week 13 Sections 5.2-5.3 Class Worksheets Homewk Sec 5.2-5.3 - Week 14 Section 5.4-5.5 Class Worksheets Homewk Sec.5.4-5.5 - Week 15 Review for Test Three Test Three Test 3 Week 16 Final Exam Review Final Exam - Final Exam - -
Try taking the Internet Lie Detector Test sponsored by C/NET.
