Math 1401-001
Calculus 1

Spring 2008
Instructor: Eric Sullivan
(Sullivan Home)

Monday / Wednesday 3 - 4:50pm
R001: 1:30 - 2:20pm MW
R002: 5:30 - 6:20pm MW

Office: 615 CU Denver Building
Office Hours:3:00 - 4:30 Tues/Thurs or by appointment


Textbook:
Calculus: Early Transcendentals. Anton, Bivens, and Davis. (ISBN:978-0-471-47244-5) Click the picture to go to the book's companion site. There are online practice quizzes on this site that will help prepare for quizzes and exams.

Frueqently Asked Questions, Prerequisites, and Calculators

Spring 2009 Academic Calendar and Important Deadlines

Helpful Links: Blackboard Login Page
Course Syllabus Calculus Applets
A great for visualizing calc concepts.
Tentative Schedule for Calc 1 (spring 09) Math Visualization Tools (MVT)
created by the CU Boulder Applied Math Dept. This is a great graphing calculator along with all sorts of tools to help visualize mathematical concepts.
Calculus Power Point presentations
These are AMAZINGLY well designed power point presentations.
CU Denver old uniform math final exams
Calculus flashcards on the web Calculus and Pre Calculus on the Web (COW)
complete Pre Calc and Calc texts along with sample problems and practice quizzes.
Fun Calculus Stuff Calculus Review Website
Powerpoint Calculus Drills (Speed and Memory!) Calculus.org
Includes step-by-step instructions for problems.
Step-By-Step Derivatives Calculus Tutorials
Visual Calculus Tutorials Derivative Matching Cards

Tentative Exam Schedule:

Exam 1


Exam 1 Solutions

Wednesday, February 18th
Review:

Exam 1 Review (topics)
You should do the following web quizzes (click on the textbook picture above)
Chapter 2 Section 1
Chapter 2 Section 3 (probs 1 - 5)
Chapter 2 Sections 5-6
Chapter 3 Sections 1-2
Chapter 3 Sections 3 - 5 (probs 9 - 15)

Exam 2

Exam 2 Solutions

Wednesday, April 1st
Exam 2 Review (topics)
Web Quizzes:
Chapter 3 Sections 3-5
Chapter 3 Section 6 (probs 3-13)
Chapter 3 Sections 7-8
Chapter 4 Sections 1&4 (skip prob 15)
Chapter 4 Sections 2&3 (probs 6-18)
Chapter 5 Sections 1-3 (probs 1,2,5,7)

Exam 3

Exam 3 Solutions

Wednesday, April 29th
Exam 3 Review (topics and web quizzes)

Final Exam Saturday May 9, 2009, 9am - 12noon (Location TBA)
ASK FOR THIS DAY OFF OF WORK NOW!!!
Final Exam Review

Homework and Assignments: (*.pdf files)

Homework 1 (Due Monday Jan 26th)

Homework 1 Solutions

Homework 7 (Due Monday March 16th)
Homework 7 Solutions

Homework 2 (Due Monday Feb 2nd)
Homework 2 Solutions

Homework 8 (Due Monday March 30th)
Homework 8 Solutions

Homework 3 (Due Monday Feb 9th)
Homework 3 Solutions

Homework 9 (Due Monday April 6th)
Homework 9 Solutions

Homework 4 (Due Monday Feb 16th)
Graphs of Derivatives Applets on the Web (highly suggested review)
Homework 4 Solutions

Homework 10 (Due Monday April 13th)
Homework 10 Solutions

Homework 5 (Due Monday March 2nd)
Homework 5 Solutions

Homework 11 (Due Monday April 20th)
Homework 11 Solutions

Homework 6 (Due Monday March 9th)
Homework 6 Solutions

Homework 12 (Due Monday April 27th)
Homework 12 Solutions


Watch the You Tube videos about Archimedes and Calculus:
NOVA-Infinite Secrets: The Genius of Archimedes
Part 1, Part 2, Part 3, Part 4, Part 5, Part 6

   
APPLICATION PROJECT (Due Monday May 4th) Homework 13 (Will not be graded)
Should be done by: Monday May 4th
Complete the final exam from Fall 2008.

Frueqently Asked Questions

What is Calculus?
Calculus is the study of 'Rates of Change'. Calculus as we know it today was developed in the later half of the seventeenth century by two mathematicians, Gottfried Leibniz and Isaac Newton. There are two main branches of calculus: Differential Calculus and Integral Calculus. Differential calculus determines the rate of change of a quantity, integral calculus finds the quantity where the rate of change is known.
What will we cover?
This is the first course of a three-semester sequence (MATH 1401, 2411, 2421) in calculus. Topics covered include limits, derivatives, applications of derivatives, and the definite integral. This amounts to the first six chapters of the book. The first chapter will be covered very quickly as it is mostly review material. If chapter 1 is not review, then this may not be the place for you!

What are the Prerequisites?
You must KNOW the material from College Algebra AND College Trigonometry (math 1110 and 1120) or, equivalently, Pre Calculus (1130). Specifically, you need to have a very good grasp of the following concepts:

  • basic functions (linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric, and inverse)
  • composition of functions
  • graphs of the basic functions along with shifts and translations of these graphs
  • asymptotes (vertical, horizontal, and oblique)
  • end behaviour of a graph
  • domain and range
  • interval notation
  • basic trigonometry and trigonometric identities
  • solving trigonometric equations
  • how to use a graphing calculator

What kind of calculator do I need?
There are two good answers to this question:

  1. Each of the exams in Calculus must be completed WITHOUT a calculator (unless otherwise specified).
  2. Even though the exams are non-calculator, your homework and in-class instruction will be calculator intensive. There are two calculators that will work for this class. The best is the TI-89. This calculator has a built-in computer algebra system (CAS). It also graphs, works with statistics (marginally well), and does many of the calculus functions that we will learn. The other calculator that will work for this class is the TI-84+. This is the standard calculator used in high school math classes so it is expected that many of you will already know how to use this calculator. With all of this said, Texas Instruments has come out with a newer calculator that is meant to improve upon / replace both calculators ... the TI-NSpire (replacing the 84) and the TI-NSpire CAS (replacing the 89). There is a very steep learning curve (read: hard to use at first) with these calculators. I have one so come ask me if you want to learn a bit about it

There are some great resources on the web to help you get used to your calculator.
My Calculator Comparison
Texas Instruments
A Site with Lots of Basic Information

Getting to Know the TI-83/84 Calculators
Solve and Csolve on the TI-89
A thourough description of the TI-89
How to do pretty much EVERYTHING with the TI-NSpire (videos and how-tos)
Let me know if you find any others that are really helpful.

If you are new to the calculators then you need to spend some time playing with them. You will not learn to use them overnight!