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

e-mail:...greenl@ltcc.edu

Class Grades

Web Page: http://www.ltcconline.net/greenl/courses/106/106.htm

 

Required Text Calculus Eighth 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. 

Course Objectives  The successful student will

  1. exhibit a proficiency in the topics covered in the course;
  2. engage in logical and critical thinking;
  3. read technical information; and 
  4. demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results

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 25.....................…..…......150 points

Midterm 2: Feb 16................................…150 points

Midterm 3: Mar 16.....................……..….150 points

Final Exam: Mar 20............................…....400 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 4:30 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.
Click here for the homework reduction policy.

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.

Registration

1. You may drop the class with no penalty or mark on your record on or before Friday, January 30.

2. After January 30, you may drop the class and receive a grade of W until Friday, March 5.

3. After March 5, 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:

Monday  ............................  9:30 to 10:30 AM            A210

Tuesday..........................      9:05 to 10:00 AM            GMC

Wednesday ....................      9:05 to 10:05 AM            GMC

Thursday........................       12:00 to 1:05 PM            A210

Friday........................            11:00 to 12:00                 A210



CALCULATORS: A TI 89 graphing calculator is required for this class. 

Instructions on the TI 89 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

1-3                     Introductions

1-4       4.2        Area                                47,50,51,80,81
            4.3         Riemann Sums                 6,12,17,25,43,46,48,62

1-5       4.4        Fundamental Thms          5,10,15,20,27,34,52,73,90,102
            4.5         Substitution                      5,10,14,29,38,47,52,56,63,74

    

1-9    5.1         Logs and Derivatives        1,37,39,42,47,52,57,66,76,77,83,88,92,106

 

1-10      5.2         Logs and Integrals            1,6,11,16,21,26,31,38,47,54,58,61,69,85,90,98,99

1-11      5.3         Inverse Functions             71,74,76,81,82,96,99,100,101,104,106,107,108

1-12     5.4         Exponential Functions       29,34,37,41,50,59,64,70,73,80,86,88,95,103,116,130

 

1-16     Happy Birthday Martin Luther King 

1-17      5.5        Other Bases                      42,51,60,65,70,75,,79,91,92,93,101,104,105,106,SP

1-18      5.6      Derivatives of Inverse Trig  43,46,49,52,55,59,62,64,73,76,85,87,95,100

1-19      5.7      Integrals of Inverse Trig      1,4,7,10,13,16,19,22,25,28,31,34,37,40,43,47,48

 

1-23       5.7   Integrals of Inverse Trig      49,50,53,56,59,63,68,72,79,83

1-24       5.8   Hyperbolic Functions          1,8,15,22,29,43,57,67,71,79,82,84,91,92,SP

1-25      Midterm I

1-26      Return Midterm I    

 

1-30      6.1    Slope Fields, Euler                1,6,11,16,21,26,45,54,65,72,76,85,92

1-31      6.2   Growth and Decay            1,6,11,16,21,28,37,62,63,67,69,71

2-1       6.3   Separation of Variables        1,6,11,16,20,21,23,25,32,37,42,47,52

2-2       6.3   Separation of Variables       57,62,69,74,77,80,85,86,87,88,90

 

2-6      7.1       Bounded Area                    1,6,9,14,21,28,35,40,43,50,55,60,65,78,87,88,90

2-7      7.2       Volume by Discs                1,4,7,10,13,16,19,22,25,28,31,34,37,40

2-8      7.2       Volume by Discs                45,46,49,50,53,55,56,57,61,62,6468,70,72  

2-9     7.3       Volume by Shells                1,6,9,15,18,21,28,41,43,48,51,54,SP

 

2-13     7.4       Arc Length & Surface Area  1,6,11,16,25,27,33,36,40,45,52,55,58,66

2-14     7.5       Work                                 1,4,7,10,13,16,19,21,24,27

2-15     7.5       Work                                 29,32,33,36,37,39,40,43,SP

2-16      Midterm II

 

2-20       Happy Birthday Washington

2-21     7.6       Moments and Centroids     1,4,7,10,13,17,20,23,26,29,32

2-22    7.6       Moments and Centroids     33,36,39,42,43,46,49,52,57.58

2-23    7.7       Fluid Pressure                    1,4,7,10,13,16,19,22,23,25,26,29,34

 

2-27    8.1       Integration Rules                1,8,15,22,29,36,43,50,57,64,74,83,86,89,97

2-28    8.2       Integration By Parts            5,8,11,16,19,23,26,29,36,42,47,52 

3-1     8.2       Integration By Parts            57,62,67,80,85,90,96,101,106,111,116

3-2      8.3       Trig Integrals                      2,4,7,10,13,16,19,24,29,34,37,40,43,46  

 

3-6        8.3       Trig Integrals                      49,52,59,66,76,81,84,89,92,96,100,105,SP

3-7       8.4       Trig Substitution                 1,4,7,10,13,18,23,28,35,41,46

3-8      8.4       Trig Substitution                 49,54,63,67,70,75,80,82,87

3-9      8.5       Partial Fractions                 1,4,7,10,13,16,19,22,25,28,31,34

 

3-13     8.5       Partial Fractions                 39,42,45,48,51,52,58,60,63,64
                        An Algorithm For Integration

3-14     8.7      L'Hopital's Rule                   1,6,11,16,21,26,31,36,41,49,62,65,69,77,83,84,94,99   

3-15     8.8     Improper Integrals                1,10,19,28,37,46,49,54,69,78,84,85,86,91,101

3-16    Midterm III

 

3-20        Comprehensive Final Exam  8:00 AM - 9:50 AM

 



HOW TO SUCCEED IN A MATH CLASS

  1.  Come to every class meeting.
  2.  Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have   you materials ready when class starts.
  3.  Read each section before it is discussed in class
  4.  Do some math every day.
  5.  Start preparing for the tests at least a week in advance.
  6.  Spend about half of your study time working with your classmates.
  7.  Take advantage of tutors and office hours, extra help can make a big difference.

 


Back to the Math Department Home Page

Questions, Comments and Suggestions:  Email:  greenl@ltcc.edu