Course Document

Online Textbook

The textbook is available for free and can be viewed online here: OpenStax Calculus I

I strongly recommend you download the high resolution pdf version of the textbook onto your computer/phone/ipad here: pdf version of textbook

Projects

Project Policy: CalculusI-ProjectPolicy

Project 1: HonorsCalculusI-ProjectI

There is a typo in the hint for question 13, the double angle formula is

Project 2: HonorsCalculus-ProjectII-Updated

Project 2 is due on Monday, February 27th. This overrides the due date on the class calendar.

Project 3: CalculusI-ProjectIII-Updated

Project 3 is due on Monday, April 3rd. This overrides the due date on the class calendar. Moreover, if you turn in by Wednesday, March 22nd, you will have the opportunity to correct it (after my feedback) and obtain up to 2/3 of the points you miss.

Timeline for final mini project: Timeline for Final Mini Project

Exam Reviews

Coming Soon

Practice Exams (FOR EXTRA CREDIT)

Extra Credit Policy: Extra Credit Policy

Cover Sheet for Practice Exam 1: CoverSheet-PracticeExam1

Practice Exam 1: 2413-PracticeExam1-Spr17

Practice Exam 2: Cover Sheet for Practice Exam 2, 2413-PracticeExam2-Spr17

Practice Exam 3: 2413-PracticeExam3-Spr17

Practice Exam 4: 2413-PracticeExam4-Spr17

Class Notes

1/18/17: 2413-APreviewOfCalculusAndLimits

1/23/17: 2413-LimitLaws-Spr17

1/25/17: 2413-Continuity-Spr17

1/30/17: 2413-DerivativeDefinition-Part1-Spr17, 2413-DerivativeDefinition-Part2-Spr17

2/1/17: 2413-DifferentiationRules-Spr17

2/6/17: 2413-DerivativesOfTrig-Spr17, 2413-RatesOfChange-Spr17

2/8/17: 2413-ChainRule-Spr17

2/13/17: 2413-DerivativeInverseTrigs-Spr17

2/15/17: 2413-DerivativeOfLogAndExp-Spr17

2/20/17: 2413-RelatedRates-Spr17 and Exam 1 Review

2/22/17: Exam 1

2/27/17: 2413-LinearApproximations-Spr17, 2413-MaximaAndMinima-Part1-Spr17

3/1/17: 2413-MaximaAndMinima-Part2-Spr17, 2413-MeanValueTheorem-Spr17

3/6/17: 2413-FirstAndSecondDerivativeTest-Spr17

3/8/17: 2413-LimitsAtInfinity-Spr17

3/22/17: 2413-LHopitalRule-Spr17, 2413-NewtonMethod-Spr17

4/3/17: 2413-AreasAndDefiniteIntegrals-Spr17

4/5/17: 2413-DefiniteIntegralsAndFTC-Spr17

4/10/17: 2413-SubstitutionMethod-Spr17

4/12/17: 2413-ExpAndLogIntegrals-Spr17

4/17/17: 2413-InverseTrigIntegrals-Spr17, 2413-Area-Spr17

4/19/17: 2413-Area-Part2-Spr17

Useful Videos and Links

Useful examples for sections 2.1 through 2.4: 

Note: I think these are very useful videos; however, nothing is perfect and there could possibly be some errors/mistakes that go unnoticed. If you run into something that doesn't make sense, ask me. Always watch the videos with a critical thinking mindset, always questions every step in the solution, pay careful attention to small details. Is it logical? Is the formula applied appropriately and correctly? Is there an easier way to solve the problem? What is the difference between various examples?

Approximate Areas Using Rectangles:  Example 1

Finding Limits Numerically: Example 1, Example 2, Example 3.

Finding Limits from Graphs: Example 1, Example 2, Example 3, Example 4

Infinite Limits: Example 1, Example 2

Finding Limits Analytically: Example 1, Example 2, Example 3, Example 4, Example 5, Example 6

Limits Involving Absolute Value: Example 1

Limits Involving Trig Functions: Example 1, Example 2, Example 3, Example 4, Example 5

Finding Limits Using the Squeeze Theorem: Example 1 , Example 2, Example 3, Example 4, Example 5

Continuity: Example 1, Example 2, Example 3, Example 4, Example 5, Example 6

The Intermediate Value Theorem: Example 1, Example 2

Useful examples for sections 3.1 through 3.9: 

Find the derivative/slope of the tangentline at a point using the definition of the derivative: Example 1, Example 2

Find the derivative as a function using the definition: Example 1, Example 2 , Example 3, Example 4, Example 5

Full Calculus Lectures on youtube:

These videos do not always correspond to the sections we cover from our textbook, but some of them are relevant to this class and very useful as well.

University of Houston Calculus Videos: UH Videos

Khan Academy Calculus Videos: Videos

Professor Lenonard Calculus Videos: Videos

Professor Rob Bob Videos: Videos