Dave Schmidt's Calculus 1 Page


Welcome to Calculus 1. The purpose of this page is to make certain resources available and keep you
up to date with everything going on in the course.

** REMINDER: If you're having trouble with the course, there are video clips available
        on which many typical problems are presented and explained. It's worth taking a look at if you
        feel the need. They are available  here  and may also be available on CD in the bookstore.

 
FINAL EXAM INFORMATION:

Our final exam, which is required for everyone, will be held on Thursday, May 17 from 11:30 AM - 2:30 PM
in WEST HALL AUDITORIUM.

No calculators or other electronic devices are permitted in the exam.

Prof. Schmidt will have office hours at the following times in Amos Eaton 408:

Thursday, May 10, 11 AM - 12 PM
Monday, May 14, 11 AM - 12 PM
Wednesday, May 16, 4 - 5 PM

Joe Pedersen will have office hours from 1 - 2 PM on Wednesday, May 9th and Wednesday, May 16th.
 

Approximately 80 % of the final exam will consist of problems similar to those appearing on our first four exams. The remaining 20% will
not necessarily be similar to any of the homework problems.

The final exam will consist of three parts:

         The first part will consist of 10 problems worth 5 points each. You will have to solve all of these problems.

         The second part will consist of 5 problems worth 10 points each. You will have to solve 4 of these 5 problems.
         You will need to indicate on the front of the exam which problem you do not want graded.

          The third part will consist of 5 skills problems worth 2 points each. You will have to solve all 5. These problems will be
          graded on a no partial credit basis.

         Thus, the final exam is worth 100 points.


Topics Covered on the Final Exam:
  

The exam will potentially cover material from the sections summarized below:

          Absolute Values and Inequalities (Appendix 1)
          Functions and Basic Graphing Techniques (1.1, 1.2)
          Trigonometry Review (1.3)
          Exponential Functions (1.5)
          Inverse Functions, Inverse Trig Functions, Logarithmic Functions (1.6)

          Tangent Line Problem (2.1)
          Limits, Computing Limits, Infinite Limits, One-Sided Limits (2.2, 2.4, 2.6)
          Continuity, Intermediate Value Theorem (2.5)
          Limits at Infinity and Horizontal Asymptotes (2.6)
         
          Definition of Derivative (3.1)
          Derivative as a Function (3.2)
          
Polynomial and Exponential Derivatives (3.3)
          Product and Quotient Rules (3.3)
          Higher Derivatives (3.3)
          Trigonometric Derivatives (3.5)
          Chain Rule (3.6)
          Implicit Differentiation  (3.7)
          Derivatives of General Exponential Functions (3.8)
          Log Derivatives and Logarithmic Differentiation (3.8)
          Inverse Trigonometric Derivatives (3.9)
         
Related Rate Problems (3.10)
      
         
L'Hopital's Rule (4.5)
          Rolle's Theorem and Mean Value Theorem (4.2)
          Absolute Extrema and Extreme Value Theorem (4.1)
          Relative Extrema, Critical Numbers, First Derivative Test (4.3)
          Second Derivative Test and Concavity (4.4)
          Graph Sketching (4.4)
          Optimization Problems (4.6)
        
          The Area Problem and Riemann Sums (5.1, 5.2)

          The Definite Integral, properties of the definite integral (5.3)
          Antiderivatives; Initial Value Problems (4.8)

          Fundamental Theorem of Calculus (5.4)
          Derivatives of Functions defined through definite integrals (5.4 and discussed in notes)
          Indefinite Integrals (5.5)
                
Linear Approximation and Differentials (3.11)
                 Integration by Substitution (5.5, 5.6)
          Further Area Problems (5.6)
          Volume, Solids of Revolution and the "Disc/Washer" Method (6.1)
          Method of Cylindrical Shells (6.2)



  Course Information

  Course Activities

  Course Policies
 

Office Hours Information:

Prof. Schmidt's Office Hours (in Amos Eaton 408): Monday 3 - 4 PM, Wednesday 3 - 4 PM, Thursday 9 - 10 AM

Recitation Instructor Office Hours:

     Richard Lee: W 1-1:50, R 3-3:50, F 12-12:50 in Amos Eaton 317
     Mike McClure: W 11 AM -12 PM in Amos Eaton 433
     Joe Pedersen: T 8-9 AM in Amos Eaton 433


Course Resources:

 

General Resources for Calculus:

    This web page collects many helpful resources, including information about Supplementary
    Resources, on-line video clips and much, much more!

           Calculus Help Page
 
 

Resources Specific to our class:

Homework Assignments

Tentative Exam Dates

Exam Solutions
 
 

Resources for Calculus Skills Problem Set:

The Calculus Skills Problem Set is a set of problems designed to test your ability to carry out the basic computations
from Calculus accurately. Throughout the semester you will be tested (during quizzes and the final exam) on
algorithmically generated versions of these problems.   

These problems will always be graded with no partial credit, and will account for approximately 20 % of
the course grade.  

The  Calculus Skills home page is here.  This page contains much important information
pertaining to the Calculus skills problem set, including rules pertaining to how the problems will be graded
and academic integrity guidelines.  It also contains a list of all the calculus  skills problems and resources for practicing
different versions of them.

 
 

MAPLE Resources:

 MAPLE Files   This is a series of tutorial files explaining how MAPLE can be used to perform different pre-Calculus
                              and Calculus tasks. MAPLE (or a graphing calculator) may be handy now and then if you need to
                              quickly sketch a graph or solve an equation, although neither resource may be used on exams and
                              quizzes.

Prof. Mark Holmes' MAPLE tutorial