# 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 if you
feel the need.

FINAL EXAM INFORMATION:

Our final exam, which is required for everyone, will be held on Thursday,  May 2 from 11:30 AM - 2:30 PM in Low 3051.

Prof. Schmidt will hold office hours on Monday, April 29 from 1 - 2 PM in Eaton 408.  Cassandra will hold office hours on Monday, April 29 from 3 - 4 PM and Tuesday, April 30 from 4:30 - 5:30 PM to return exam #4 and solutions. She will also hold office hours for final exam review on Wednesday, May 1 from 3:30 - 5:30 PM.

No books, notes, calculators or other electronic devices are permitted in the exam.   All cell phones are to be turned off and stored so they are inaccessible.

All of the problems on the final exam will be similar to homework problems, and many will be similar to problems from our first four exams.

The final exam will consist of three parts:

The first part will consist of 8 problems worth 5 points each. You will have to solve all of these problems.

The second part will consist of 5 problems worth 11 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 10 skills problems. Only the best 8 problems will be graded. These problems will be
graded on a no partial credit basis and will contribute 16 points to the final exam.

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:

Trigonometry Review (1.4)
Exponential Functions (1.6)

Inverse Functions, Inverse Trig Functions, Logarithmic Functions (1.5,1.6)
Tangent Line Problem (2.1)
Limits, Computing Limits, Infinite Limits, One-Sided Limits (2.2,2.3,2.5)
Continuity, Intermediate Value Theorem (2.4,2.8)
Trigonometric Limits (2.6)

Limits at Infinity and Horizontal Asymptotes (2.7)
Definition of Derivative (3.1)

Derivative as a Function (3.2)

Polynomial and Exponential Derivatives (3.2)
Trigonometric Derivatives (3.6)
Product and Quotient Rules (3.3)
Higher Derivatives (3.5)
Chain Rule (3.7)
Implicit Differentiation  (3.8)
Derivatives of General Exponential Functions (3.9)
Log Derivatives and Logarithmic Differentiation (3.9)
Inverse Trigonometric Derivatives (3.9)

Related Rate Problems (3.10)

Linear Approximation and Differentials (4.1)

L'Hopital's Rule (4.5)
Rolle's Theorem and Mean Value Theorem (4.3)
Absolute Extrema and Extreme Value Theorem (4.2)
Relative Extrema, Critical Numbers, First Derivative Test (4.3)
Second Derivative Test and Concavity (4.4)
Graph Sketching (4.6)
Optimization Problems (4.7)

The Area Problem and Riemann Sums (5.1, 5.2)

The Definite Integral, properties of the definite integral (5.2)
Antiderivatives and the Indefinite Integral; Initial Value Problems (5.3)
Fundamental Theorem of Calculus (5.4,5.5)
Derivatives of Functions defined through definite integrals (5.5 and discussed in notes)
Integration by Substitution (5.7)
Further Transcendental Functions (5.8)

Further Area Problems (6.1)
Average Value of a Function (6.2)
Volume: Method of Slices (6.3)
Solids of Revolution: Disc/Washer Method (6.3)
Solids of Revolution: Cylindrical Shells Method (6.4)

WebAssign Access Help

Quiz Schedule:

Skills Quiz 1: Tuesday,  January 29 (on Limits)

Skills Quiz 2: Friday,  February 22 (on Basic Derivatives)

Skills Quiz 3: Tuesday,  February 26 (on Chain Rule)

(Cumulative) Skills Quiz 4: Friday, March 15 (combination of questions from previous topics)

Skills Quiz 5: Friday, March 22 (on Critical Points)

(Cumulative) Skills Quiz 6: Friday, April 5 (combination of questions from previous topics)

Skills Quiz 7: Tuesday, April 16 (on Basic Integrals)

Skills Quiz 8: Tuesday, April 23 (on u-substitution)

Course Information

Course Activities

Office Hours Information (Valid through Thursday, April 25):

Prof. Schmidt's Office Hours (in Amos Eaton 408):  Wednesday 3:30 - 4:30 PM, Thursday 11 - 11:50 AM

Recitation Instructor Office Hours:

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!

Resources Specific to our class:

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.