ATTENTION

INTRODUCTION

• Calculus etymology
• Calculus historical timeline
• A brief history of calculus (O'Connor and Robertson)
• The History of Calculus (U. of Houston web page)
• Calculus: The Musical (Songs about Calculus from Matheatre)

SYLLABI +

• Syllabus (Section 4, MTWF)
• Syllabus (Section 8, MW)
• Learning Outcomes for Calculus I
• Notes and Recommendations for Students

WEBASSIGN HOMEWORK AND MORE

• Section 4 Class Key: mtsu 7232 5587
• Section 7 Class Key: mtsu 5873 4888
• WebAssign web site
• Online Exercises (choose a Calculus text, for example, Hass: University Calculus with Early Transcendentals, 2e)

NOTES AND MORE

Chapter 1

• Algebra review sheet (link)
• Trigonometry review sheet (link)
• Notes on lines and linear functions
• Graphs: examples from common families of functions
• Also see "Functions and Their Graphs" section below.
• Sample Test 1
• Sample Test 1 Key

Chapter 2

• Chapter 2 notes
• Limit proofs for a linear and a quadratic function
• Some limit examples
• Limit of a function applet (David Little, Penn State)
• Limits Test (online from Nipissing University)
• On-line limit quiz (Visual Calculus)
• Twenty limit and continuity problems (WizIq)
• Chapter 2 Sample Test with Key
• Another Chapter 2 Sample Test with Key

Chapter 3

• Notes on Differentiation
• The secant line and the tangent line
• YouTube video on understanding the definition of the derivative
• YouTube video on finding a derivative using the definition of a derivative
• A velocity problem
• Differentiation rules
• Differentiation problems
• More differentiation problems (with answers)
• Related rate examples
• More related rate problems
• Link to even more related rate problems
• Chapter 3 sample test (with solutions)
• Chapter 3 extra problems

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Chapter 4

• Chapter 4 review notes
• Critical numbers and optimization on a closed interval
• Some optimization problems
• Solution key to optimization problems
• Sample test on chapter 4

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Chapter 5

• Notes on Riemann sums and definite integrals
• Notes on fundamental theorem of caluclus
• Integration by substitution
• Examples of integration by substitution
• Hyperbolic functions
• Sample test and key

WORKSHEETS

• Worksheet 1 (algebra review)

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TI-83/84 CALCULATOR

• Cheat sheet for TI-83 (B. Thomas, Kennesaw)
• TI-83 TI-84 Guidebook download page
• TI-83/84 Plus Basic Math Programs (Calculus)

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FUNCTIONS AND THEIR GRAPHS

• Graphs-Examples from basic families of functions
• A library of elementary graphs (UAMONT.EDU)
• Graphs of functions and algebra (analyzemath.com)
• Selected sites for graphing of functions (mathforum.org)
• Common graphs to memorize (UMICH.edu)
• Graphs and functions (thinkquest.org)
• GraphFunc Online (multiple functions, seriesmathstudy.com)>
• Online graphing calculator (coolmath.com)

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APPLETS

• Precalculus Applets (David Sher, NCC)
• Precalculus tutorials (analyzemath.com)
• Applets for precalculus and calculus (Tom Leathrum, JSU)
• Online programs for limiting processes (U. of Vienna)
• Differentiation applets (U. of Vienna)
• Calculus Applets (calculusapplets.com)
• Calculus Applets (David Little, Penn State)
• Applets for single variable calculus
• Calculus animations with MAPLE

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WORKSHEETS, TUTORIALS, AND MORE

• Common mistakes in algebra and calculus (HMC Mathematics Online Tutorial)
• Pre-calculus and Calculus Tutorials (Harvey Mudd College)
• Calculus-Help.Com: offering tutorials, problems, and fun.
• Calculus I - Key Concepts (lessons, exercises, and videos from U. of Houston)
• S.O.S. Mathematics - Calculus (with examples, exercises, and answers)
• UBC Calculus Online (Course notes, applets, and more from UBC, Canada)
• Notes for Calculus I (from Paul's Online Math Notes)
• Hong-Jian's Tips on Calculus (WVU)
• Calculus lecture notes (with sample tests, U. of Toronto, Scarborough Campus)
• Realizing Calculus - elementary differential calculus for beginners (thinkquest.org)
• Visual Calculus - Tutorials (Math Archives,UTK)
• First Year Calculus (set of notes "compiled over...more than 25 years" WWL Chen, Macquarie U., Australia)
• The Calculus Page (calculus.org)
• Differentiation formulas (thinkquest.org)
• Calculus Booklet of Formulas (analyzemath.com)
• Calculus I Worksheets (U. of Arizona)
• Calculus Worksheets (analyzemath.com)
• Excerpts from How to Ace Calculus: The streetwise guide
• Calculus Resources On-Line (Math Archives, UTK)

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PRACTICE QUIZZES AND TESTS

• Are you ready for calculus? Sample precalculus test (Berkeley)
• Calculus Readiness Test (California Mathematics Diagnostic Testing Project, UCSD)
• Drill - verifying limits (Visual Calculus, UTK)
• Drill - evaluating limits (Visual Calculus, UTK)
• Limits test (Nipissing U.)
• Quiz on limits (Mr. Krebs ?)
• Interactive tests for precalculus and calculus (U. of Vienna)
• Test-finding the first derivative (U.of Michigan)
• Derivatives sample test with solutions (Calgary Board of Education)
• Derivatives Test (Nipissing U.)
• First-derivative-test problems with solutions (Visual Calculus)
• Calculus tests (Binghamton)
• Sample midterm exam (Hass, UC Davis)
• Sample calculus final exam (Hass, UC Davis)
• Sample final exams from UC Davis
• 100+ good calculus questions (Terrell, Cornell U.)
• 145+ calculus problems (Terrell, Cornell U.)

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Videos

• Fifty-plus On-line Calculus videos (Univ. of Houston)
• The Top Ten List of Algebra Mistakes
• Calculus 1 in 20 Minutes by Thinkwell
• Many videos on calculus topics (Khan Academy)
• Calculus: Derivatives 1 (khanacademy.org)
• Calculus: Derivatives 0 (MathTV)
• Video on solving AP/AB Calculus test sample questions 1 and 2
• Video on AP/AB Calculus sample questions (first der. and limit problems)
• How to study for a test (Midnighttutor)