MATH 106

CALCULUS and ANALYTIC GEOMETRY

Monday, Wednesday, and Friday 9:00 to 10:40 AM

Room E106      5 UNITS

Instructor Larry Green

Phone Number Office: 541-4660 Extension 341

e-mail:  DrLarryGreen@gmail.com  

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

Videos of Worked Out Problems

 

Required Text Calculus Tenth 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. 

Student Learning Outcomes
1. Employ integrals to applications from physics.
2. Apply the Fundamental Theorem of Calculus in determining indefinite integrals.
3. Compute geometric quantities using integrals.
4. Solve differential equations.
5. Determine integrals and derivatives of transcendental 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

Exam 1: Jan 30 .....................…..…......150 points

Exam 2: Feb 25 ................................…150 points

Exam 3: Mar 20 .....................……..….150 points

Final Exam: Mar 25  (10:00 to 11:50) ...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 scored less than or equal to 5 points, 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 where I will verify that at least half of the assignment has been completed and then turn in the homework by 4:00 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 proven medical excuse. Quizzes will not be counted unless the corresponding homework is turned in on time.

OFFICE HOURS: TWThF in A210, M on MSC

Monday, Wednesday, Friday ........................................  12:40 to 1:40

Tuesday............................................................................ 10:30 to 11:30        

Thursday  .......................................................................  12:00 to 1:00   

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 A 201 (The Math Success Center).  

A WORD ON HONESTY:

Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz or exam you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don’t cheat in this class.  If you are having difficulty with the course, please see me.

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

1-5                     Introductions

1-7         4.4        Fundamental Thms          5,10,15,20,27,42,52,66,83,90,97,111
              4.5         Substitution                      5,10,14,29,38,47,52,56,63,74,79,92,94

1-9      5.1         Logs and Derivatives 1,39,44,47,52,57,66,76,77,83,88,92,100,101    

1-12      5.2    Logs and Integrals            1,6,11,16,21,26,31,38,47,54,61,69,85,90,105,106

1-14      5.3         Inverse Functions             23,24,31,34,65,70,88,89,90,91,92,98,99,100,101,103

1-16      5.4         Exponential Functions       34,37,41,50,59,64,70,73,80,86,88,95,103,116,130

1-19     Happy Birthday Martin Luther King 

1-21      5.5        Other Bases                      42,51,60,65,70,73,79,84,104,111,114,115,121,SP

1-23       5.6      Derivatives of Inverse Trig  43,46,49,52,55,59,62,64,73,76,85,89,90,93,95

1-26      5.7      Integrals of Inverse Trig      1,6,11,16,21,26,31,36,41,46,46,53,58,61,68,71,76,80           

1-28     5.8   Hyperbolic Functions          1,8,15,22,29,43,57,67,71,79,82,84,91,95,SP

1-30       Exam I 

2-2      6.1    Slope Fields, Euler                1,6,11,16,21,28,37,45,54,65,72,76,84,89,92,95,96

2-4       6.2   Growth and Decay            1,6,11,16,21,28,38,53,58,62,63,66,69

2-6        6.3   Separation of Variables        1,6,11,16,20,25,29,34,38,45,53,60,63,65,66,72,77,79,82,83

2-9      7.1       Bounded Area                    1,6,9,14,21,28,35,40,43,50,55,60,69,74,79,84,85

2-11      7.2       Volume by Discs                1,6,10,13,17,22,27,32,35,44,46,54,65,69,76 

2-13      Happy Birthday Lincoln

2-16     Happy Birthday Washington

2-18      7.3       Volume by Shells                1,6,9,15,18,23,26,28,41,44,48,54,61,SP       

2-20     7.4       Arc Length & Surface Area  1,6,11,16,25,27,33,36,40,45,52,55,58,67

2-23     7.5       Work                                       1,4,7,10,13,16,19,22,25,28,34,36,37,41,SP  

2-25     Exam II

2-27     Return Exam II

 3-2      7.6       Moments and Centroids     1,8,18,23,28,33,36,39,44,52,55     

3-4     7.7        Fluid Pressure                    1,6,7,11,13,16,19,22,23,26,27,29,34

3-6     8.1       Integration Rules                1,15,29,36,43,63,77,91
          8.2       Integration By Parts            5,15,20,30,35,44,58,67,89,93

 3-9     8.3       Trig Integrals   5,10,15,20,25,30,35,40,45,50,55,60,68,75,89,90,SP

3-11     8.4       Trig Substitution   1,4,7,10,13,18,23,28,35,41,46,50,53,63,67,70,74

3-13     8.5       Partial Fractions 1,4,7,10,13,16,19,22,25,28,31,34,42,46,47,49,50
            An Algorithm For Integration

3-16     8.7      L'Hopital's Rule     1,9,18,27,36,47,54,64,73,82,84,95,101,103

3-18    8.8     Improper Integrals    11,30,47,55,78,85,93,94,100,103,106

3-20             Exam III

3-23    Review for the Final

3-25    Comprehensive Final Exam  10:00 AM - 11:50 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.