MATH 106


Mon, Wed, and Fri 9:25 to 10:55 AM

Room A 211      5 UNITS

Instructor Larry Green

Phone Number Office: 541-4660 Extension 341

Class Grades

Web Page:


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. 

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

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

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

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

Final Exam: Mar 25 ............................ ..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 in my office 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 medical excuse.
Click here for the homework reduction policy.

Daily Quizzes  The first five minutes of each class, there will be a quiz that covers the main point from the previous  lecture.  Each quiz will count as 20% of the homework grade.  Quizzes cannot be made up and will not be counted unless the corresponding homework is turned in on time.



Monday  ............................  11:00 to 12:00 AM            MSC

Tuesday..........................      11:00 to 12:00 PM            MSC

Wednesday ....................      2:15 to 3:15 PM                A 210

Thursday........................       10:00 to 11:00 AM           A210

Friday........................            11:00 to 12:00 PM           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 A 201 (The Math Success Center).  


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.


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          5,10,15,20,27,34,52,73,90,102
            Video on Using the 1st Fundamental Theorem of Calculus    Video on Finding Area of a Region    Video on Finding the Average Value   
            Video on Using the 2nd Fundamental Theorem of Calculus    Video on the Chain Rule and the 2nd Fundamental Theorem   Video on Integration Props and the 2nd FTC
            4.5         Substitution                      5,10,14,29,38,47,52,56,63,74
            Video on u-substitution    Video on u-substitution and Working with Constants    Video on a More Complicated Substitution

1-9       5.1         Logs and Derivatives        1,37,39,42,47,52,57,66,76,77,83,88,92,106
             Video on Finding the Derivative of a ln Function    Video on Logarithmic Differentiation

1-12    5.2         Logs and Integrals            1,6,11,16,21,26,31,38,47,54,58,61,69,85,90,98,99
            Video on Integrating With Ln    Video on Advanced u-substitution and Ln

1-14      5.3         Inverse Functions             71,74,76,81,82,96,99,100,101,104,106,107,108
            Video on Showing a Function has an Inverse    Video on Finding the Derivative of the Inverse  Video on Finding the Derivative of the Inverse Using the 2nd Fundamental Theorem

1-16      5.4         Exponential Functions       29,34,37,41,50,59,64,70,73,80,86,88,95,103,116,130
            Video on the Derivative of ex    Video on Solving a Differential Equation Involving ex

1-19     Happy Birthday Martin Luther King 

1-21     5.5        Other Bases                      42,51,60,65,70,75,,79,91,92,93,101,104,105,106,SP
            Video on Derivative of an Exponential with a Non-constant Base    Video on Tangent Line with a Common Log     Video on Integration with Other Bases

1-23      5.6      Derivatives of Inverse Trig  43,46,49,52,55,59,62,64,73,76,85,87,95,100
            Video on Derivatives Involving arcsin x    Video on Derivatives Involving arctan x    Video on Derivatives Involving arcsec x

1-26      5.7      Integrals of Inverse Trig      1,6,11,16,21,26,31,36,41,46,46,53,58,61,66,71,76,83
            Video on Integrals Involving arcsin x    Video on Integrals Involving arctan x    Video on Integrals Involving arcsec x

1-28      5.8   Hyperbolic Functions          1,8,15,22,29,43,57,67,71,79,82,84,91,92,SP
            Video on Integrals that Contain Hyperbolic Trig        Video on Using Inverse Hyperbolic Trig for Integration

1-30      Midterm I 

2-2       6.1    Slope Fields, Euler                1,6,11,16,21,26,45,54,65,72,76,85,92
            Video on Matching Slope Fields to Differential Equations  Verifying an Equation is a Solution to a Differential Equation  Video on Using Euler's Method

2-4      6.2   Growth and Decay            1,6,11,16,21,28,37,62,63,67,69,71
             Video on Exponential Growth   Video on Finding Age using Half-Life   Video on Newton's Law of Cooling

2-6        6.3   Separation of Variables        1,6,11,16,20,24,29,34,39,44,53,60,65,72,77,79,85,86,87
            Video on Separation of Variables    Video on Homogeneous Differential Equations    Video on Logistics Equations

2-9      7.1       Bounded Area                    1,6,9,14,21,28,35,40,43,50,55,60,65,78,87,88,90
            Video on Finding the Area Between 2 Curves

2-11      7.2       Volume by Discs                1,6,10,17,22,27,32,37,44,46,55,59,62,65,68,74
              Video on How to Use the Washer Method    Video on Revolving About a Line Below the x-axis    Video on Revolving About a Line Above the x-axis  Video on Volumes by Cross Section

2-13       Happy Birthday Lincoln

2-16       Happy Birthday Washington

2-18      7.3       Volume by Shells                1,6,9,15,18,21,28,41,43,48,51,54,SP
            Video on Using the Method of Cylindrical Shells    Video on Revolving About a Line Other than the y-axis

2-20       7.4       Arc Length & Surface Area  1,6,11,16,25,27,33,36,40,45,52,55,58,66  
            Video on Finding Arc Length    Video on Surface of Revolution About the y-axis    Video on Surface of Revolution About the x-axis

2-23          7.5       Work                                 1,4,7,10,13,16,19,21,24,27,29,32,33,36,37,40,43,SP
            Video on Using Hooke's Law   Video on Work to Send a Satellite Into Orbit     Video on Work Done Lifting a Chain     Video on Work Done Emptying a Tank    

2-25      Midterm II

2-27    7.6       Moments and Centroids     1,8,18,23,26,32,33,36,43,49,52,57
             Video on Finding the Centroid    Video on Using the Theorem of Pappus

3-2    7.7       Fluid Pressure                    1,4,7,10,13,16,19,22,23,25,26,29,34
            Video on Finding the Fluid Pressure on a Vertical Triangle      Video on Find the Fluid Pressure on a Vertical Semi-Circle

3-4    Snow Day  (Class Cancelled)


3-4    3-6    8.1       Integration Rules                1,8,15,22,29,36,43,50,57,64,74,83,86,89,97

3-6    3-9      8.2       Integration By Parts            5,10,15,20,25,30,35,40,49,58,67,84,89,94,101,112
            Video on Integration by Parts    Video on Integrating Arcsin(x)    Video on Integrating e^x cos(x)

3-9    3-11      8.3       Trig Integrals                      5,10,15,20,25,30,35,40,45,50,54,59,68,87,92,97,104,106,SP
            Video on Integrating cos5(x)    Video on Integrating sin4(x)    Video on Integrating sec x tan3x   

3-11    3-13     8.4       Trig Substitution                 1,4,7,10,13,18,23,28,35,41,46,49,54,63,67,70,75,80,82,87
            Video on ArcSin Substitution    Video on ArcTan Substitution    Video on ArcSec Substitution

3-13    3-16     8.5       Partial Fractions                 1,4,7,10,13,16,19,22,25,28,31,34,39,42,45,48,51,52,58,60,63,64
            Video on Partial Fractions (Simple)    Video on Partial Fraction (One Factor is a Quadratic)    Video on Partial Fractions (Repeated Roots)
            An Algorithm For Integration

3-16     3-18   8.7      L'Hopital's Rule                   1,6,11,16,21,26,31,36,41,49,62,65,69,77,83,84,94,99
                       8.8      Improper Integrals               28,46,49
            Video on Applying L'Hopital's Rule Twice    Video on L'Hopital's Rule With Exponents    Video on L'Hopital's Rule of the Form 0 Times Infinity   

3-18    8.8     Improper Integrals                1,10,19,28,37,46,49,54,69,78,84,85,86,91,101
            Video on Improper Integrals (Upper Bound is Infinity)    Video on Improper Integrals (With an Asymptote)

3-20             Midterm III


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




  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.


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