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MATH 106 CALCULUS and ANALYTIC GEOMETRY Mon, Tues, Wed, and Thurs 8:00 to 9:05 AM Room E 106 5 UNITS Instructor: Larry Green Phone Number Office: 541-4660 Extension 341 Internet e-mail:...greenl@ltcc.edu Home Page: http://www.ltcc.edu/academics.asp?scatID=5&catID=34" Lecture Notes: http://www.ltcconline.net/greenl/courses/106/106.htm Required Text Calculus Sixth Edition by Larson, Hostetler, and Edwards Course description The topics covered in this course include applications of the integral, techniques of integration, exponential and logarithmic functions, hyperbolic functions, and inverse trigonometric functions. Prerequisite A grade of C or better in Math 105 or equivalent. Grading Policy Your letter grade will be based on your percentage of possible points. A 90 -- 100% C 70 -- 79% B 80 -- 89% D 60 -- 69% Homework: ......................................... .150 points Midterm 1: Jan 23..................... .. ......150 points Midterm 2: Feb 13................................ 150 points Midterm 3: Mar 14..................... .. .150 points Project: Mar 13.........................................75 Points Final Exam: Mar 18............................ ....325 points Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail. Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. If all homework is completed and no more than three homework assignments are counted late, then the midterm with the lowest score will be dropped. Homework Policy Homework will be turned in at the end of class on the date due. If a student has additional questions, that student may see me after class in my office and then turn in the homework by 5:00 PM on the date due. Homework that is turned in within one week of the due date will be counted as half credit. Homework may be turned later than one week after the due date, but points will not be awarded. At the beginning of each class, a 2 to 5 minute quiz will be given. Each quiz will count as 20% of the homework assignment and cannot be made unless there is a medical excuse. Extra Credit Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final. Project The project involves investigating an application of Integral calculus that is an application of a course that your are taking or an interest that you have. The write-up of the project must be more than three pages (typed). You may write any equation by hand. You are encouraged to have Math View or Maple assist you in the project. You are also encouraged to work on the project in coordination with a non-math course that you are currently taking. You may work on the project in groups and if you choose to turn in a group project, the write up should be more than 2 + n pages where n is the number of individuals in your group. Your abstract is to be a one paragraph description of your project. Included in your abstract should be a set of references that you intend to use. Registration 1. You must register for this class at the Office of Admissions and Records. 2. You may drop the class with no penalty or mark on your record on or before Friday, January 25. 3. After January 25, you may drop the class and receive a grade of W until Friday, March 1. 4. After March 1, if you are enrolled, you will receive one of the following grades: A,B,C,D,F or I (Incomplete, must be negotiated with the instructor and is only allowed in special cases). In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. You must go to the registrar by the above dates to avoid the unwanted grade.
OFFICE HOURS: Room A210 Monday, Wednesday ....... .. 10:00 to 11:00 (In GMC) Tuesday, Thursday ..................... 3:00 to 4:00 Friday ...........................11:00 to 12:00 CALCULATORS: A graphing calculator is required for this class. There are a variety of such calculators on the market. The instructor will be using a Texas Instruments-85. Calculators (with the exception of those equipped with symbolic manipulation) will be allowed on the exams. Instructions on the TI 85 Calculator LEARNING DISABILITIES: If you have a learning disability, be sure to discuss your special needs with Larry. Learning disabilities will be accommodated.
TUTORING: Tutors are available at no cost in G4 (The Gateway Math
Center). A schedule will be available shortly. HOMEWORK ASSIGNMENTS Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment. Date Section Topic Exercises 1-2 Introductions 1-3 4.2
Area
35,38,42,45,48
1-7 4.4 Fundamental
Thms
5,10,15,20,27,34,53,73,80,83 1-8 5.1 Logs and Derivatives 1,34,39,42,47,52,57,66,77,88,92,94,97,98 1-9 5.2 Logs and Integrals 1,6,11,16,21,26,31,36,47,54,55,58,61,69,70 1-10 5.3 Inverse Functions 47,52,57,60,73,76,79,84,99,101,102,103
1-14 5.4 Exponential Functions 23,28,31,36,41,46,49,54,59,66,6875,80,85,90,105 1-15 5.5 Other Bases 29,34,39,44,45,48,51,63,65,66,69,74,88,89,92 1-16 5.6 Growth and Decay 1,6,11,16,21,28,45,48,51,54,56 1-17 5.7 Separation of Variables 1,6,11,16,20,21,23,25,32,37,42,47,52,57,69,74
1-21 Happy Birthday Martin Luther King 1-22 5-7 Separation of Variables 75,82,85,88,89,90,91,92,93,99,100 1-23 Midterm I 1-24 Return Midterm I
1-28 5-8 Derivatives of Inverse Trig 43,46,,49,52,55,59,62,64,65,66,67,69 1-29 5-9 Integrals of Inverse Trig 1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,47,49 1-30 5.10 Hyperbolic Functions 1,8,15,22,29,36,43,50,57,64,71,79,80,+ Section Project 1-31 6.1 Bounded Area 1,6,9,14,21,28,35,40,43,50,55,60,65,69,70
2-4 6.2 Volume by Discs 1,4,7,10,13,16,19,22,25,28,31,34,37,40 2-5 6.2 Volume by Discs 41,44,47,48,50,53,55,56,60,61,62,63 2-6 6.3 Volume by Shells 1,6,9,12,15,18,21,26,31,36,39,41,43,+ Section Project 2-7 6.4 Arc Length & Surface Area1,6,11,16,19,25,26,28,33,40,43,45,49
2-11 6.5 Work 1,4,7,10,13,16,19,20,24,27 2-12 6.5 Work 29,32,33,36,37,39,40,43,+ Section Project 2-13 Midterm II 2-14 Return Midterm II
2-18 President's Day 2-19 6.6 Moments and Centroids 1,4,7,10,13,17,20,23,26 2-20 6.6 Moments and Centroids 29,32,33,36,39,42,43,46,49,52,54,54 2-21 6.7 Fluid Pressure 1,4,7,10,13,16,19,22,23,25,26,29,30
2-25 7.1 Integration Rules 1,8,15,22,29,36,43,50,57,64,71,72,74,79,80 2-26 7.2 Integration By Parts 1,8,15,22,29,36,43,56,61,66,73,78,83,+Section Project 2-27 7.3 Trig Integrals 1,4,7,10,13,16,19,24,29,34,37,40,43,46 2-28 7.3 Trig Integrals 49,52,55,58,61,70,73,74,76,78,85,86,88,+Section Project
3-4 7.4 Trig Substitution 1,4,7,10,13,16,19,22,25,28,31,34,37 3-5 7.4 Trig Substitution 39,42,45,51,54,58,60,64,69,72 3-6 7.5 Partial Fractions 1,4,7,10,13,16,19,22,25,28 3-7 7.5
Partial
Fractions
39,42,45,48,51,52,53,54,55
3-11 7.7 L'Hopital's Rule 1,6,11,16,21,26,31,36,41,49,54,61,65,67,69,77,79,80 3-12 7.8 Improper Integrals 1,8,15,22,29,36,49,56,61,62,63,67,71,72,73,74 3-13 Project Due 3-14 Midterm III
3-18 Comprehensive Final Exam 8:00 AM - 10:00 AM
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