CALCULUS and ANALYTIC GEOMETRY
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
Web Page: http://www.ltcconline.net/greenl/courses/106/106.htm
Required Text Calculus Eighth Edition by Larson Hostetler and
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
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%
Midterm 1: Jan 30 .....................
Midterm 2: Feb 25 ................................
Midterm 3: Mar 20 .....................
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
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
Monday ............................ 11:00 to 12:00 AM
11:00 to 12:00 PM MSC
2:15 to 3:15 PM
10:00 to 11:00 AM A210
11:00 to 12:00 PM
CALCULATORS: A TI 89 graphing calculator is required for this class.
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
TUTORING: Tutors are available at no cost in A 201 (The Math
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 dont 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
1-7 4.4 Fundamental
Video on Using the 1st Fundamental Theorem of Calculus
Video on Finding
Area of a Region
Finding the Average Value
Using the 2nd Fundamental Theorem of Calculus
Video on the
Chain Rule and the 2nd Fundamental Theorem
Integration Props and the 2nd FTC
u-substitution and Working with Constants
Video on a
More Complicated Substitution
Finding the Derivative of a ln Function
1-12 5.2 Logs and
Integrating With Ln
Advanced u-substitution and Ln
Inverse Functions 71,74,76,81,82,96,99,100,101,104,106,107,108
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
5.4 Exponential Functions
Video on the
Derivative of ex
Video on Solving a
Differential Equation Involving ex
1-19 Happy Birthday Martin Luther King
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
Derivatives Involving arcsin x
Derivatives Involving arctan x
Derivatives Involving arcsec x
of Inverse Trig
Integrals Involving arcsin x
Video on Integrals Involving arctan x
Video on Integrals Involving arcsec x
1-28 5.8 Hyperbolic
Video on Integrals that Contain Hyperbolic Trig
on Using Inverse Hyperbolic Trig for Integration
1-30 Midterm I
Slope Fields, Euler
Video on Matching
Slope Fields to Differential Equations Verifying
an Equation is a Solution to a Differential Equation
Using Euler's Method
2-4 6.2 Growth and Decay
on Exponential Growth
Video on Finding Age
Newton's Law of Cooling
2-6 6.3 Separation of Variables
Video on Separation of Variables
Homogeneous Differential Equations
Video on Logistics
Video on Finding
the Area Between 2 Curves
2-11 7.2 Volume by
Video on How to Use the
Revolving About a Line Below the x-axis
Revolving About a Line Above the x-axis
Video on Volumes by Cross Section
Happy Birthday Lincoln
Happy Birthday Washington
2-18 7.3 Volume by
Video on Using the Method
of Cylindrical Shells
Revolving About a Line Other than the y-axis
2-20 7.4 Arc Length & Surface
Video on Finding Arc
Video on Surface
of Revolution About the y-axis
Video on Surface
of Revolution About the x-axis
Video on Using
Video on Work to Send a
Satellite Into Orbit
Video on Work Done
Lifting a Chain
Work Done Emptying a Tank
2-27 7.6 Moments and Centroids
Video on Finding the
Video on Using the Theorem
Finding the Fluid Pressure on a Vertical Triangle
Find the Fluid Pressure on a Vertical Semi-Circle
3-4 Snow Day (Class
3-9 8.2 Integration By Parts
Video on Integration by
Integrating e^x cos(x)
Video on Integrating
Integrating sec x tan3x
Video on ArcTan
Video on ArcSec
on Partial Fractions (Simple)
Video on Partial Fraction (One Factor is a Quadratic)
Video on Partial Fractions (Repeated Roots)
An Algorithm For
1,6,11,16,21,26,31,36,41,49, 62, 65, 69,77,83,84,94, 99
Video on Applying
L'Hopital's Rule Twice
L'Hopital's Rule With Exponents
Video on L'Hopital's Rule of the Form 0 Times Infinity
Improper Integrals (Upper Bound is Infinity)
Improper Integrals (With an Asymptote)
Comprehensive Final Exam
10:00 AM -
HOW TO SUCCEED IN A MATH CLASS
- Come to every class meeting.
- 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.
- Read each section before it is discussed in class
- Do some math every day.
- Start preparing for the tests at least a week in advance.
- Spend about half of your study time working with your classmates.
- Take advantage of tutors and office hours, extra help can make a big
Back to the Math
Department Home Page
Questions, Comments and Suggestions: