Course Document

Lecture/tutorial session is held every Friday (except for Friday April 14 when the college is closed for the spring holiday, so we will hold the session for that week on Thursday, April 13) at LSC-North Harris in the WINSHIP building. Attendance is not required but strongly recommended.

Online Textbook

The textbook is available for free and can be viewed online here: Openstax Calculus Volume 2

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

Important prerequisite for Calculus II

Before you start with this class, please watch the following videos and make sure you understand all the concepts, formulas and techniques covered here:

Derivatives Basics: Power Rule, Product Rule and Quotient Rule, Chain Rule

Integration: Basic Integration, u-substitution method

Some more videos about integration from my calculus 1 class last semester: u-substitution-1, u-substitution-2, u-substitution-3, ExpAndLogIntegrals-Part1, ExpAndLogIntegrals-Part2, InverseTrigIntegrals

Exam Reviews

Review of basic integration from Calculus 1 (Ignore number 16, 17, 18, 19): Integration Review

Important concepts and formulas for Exam 1: 2414-Exam1Review-ConceptsAndFormulas

Review Problems for Exam 1: 2414-Exam1Review-Problems

(Note: Hydrostatic pressure and force will not be on Exam 1, so ignore the last bullet in section 2.5 of the concepts and formulas sheet and ignore problem 15 in the review problems sheet)

Important concepts and formulas for Exam 2:  2414-Exam2Review-ConceptsAndFormulas-Updated

Important concepts and formulas for Exam 3: 2414-Exam3Review-ConceptsAndFormulas

Practice Exams (FOR EXTRA CREDIT)

Extra Credit Policy: Cal II Extra Credit Policy

Cover sheet for Practice Exam 1: CoverSheet-PracticeExam1

Practice Exam 1: 2414-PracticeExam1

Typo: for problem 2 in the multiple choice part, the bounds should be instead of . Thanks to Kimberly for pointing that out.

For problem 7 in the multiple choice part, the function given should be and NOT . The graph has the correct formula, but there is a typo in the function in the question. Thanks Giovanni for pointing that out.

The constant in question 14 is 800 for all of the choices. Thanks to Kimberly for pointing that out.

Note: you will have a 4-hour limit for each exam, make sure to time yourself on the practice exam and if necessary, do it once without timing, then redo it with timing.

Practice Exam 2: CoverSheet-PracticeExam2 ,2414-PracticeExam2

Practice Exam 3:  2414-PracticeExam3

Practice Exam 4: 2414-PracticeExam4-Spr17

Practice Exam for the Final: 2414-PracticeExam-Final

Class Notes and Videos

1/20/2017: Class Notes: 2414-2.1-Spr17, 2414-2.2-Spr17 Class Videos: Section 2.1, Section 2.2

Video to illustrate solid of revolution (washer method): video

Video to illustrate solid of revolution (disk method): video

Video to illustrate volume of solid with known cross sections: video 1, video 2

1/27/2017: Class Notes: 2414-2.3-Spr17, 2414-2.4-Spr17 Class Videos: Section 2.3, Section 2.4

Video to illustrate the shell method: video, video 2

A gallery of shells: gallery

A comparison of shell method vs. washer method: video

Videos to illustrate surface area of revolution: video 1, video 2

Videos to illustrate arc length: video 1, video 2

2/3/2017: Class Notes: 2414-2.5-Spr17-Part1 (it's called radial-density function, not radical-density function), 2414-2.5-Spr17-Part2, Some homework questions Class Video: Section 2.5

2/10/17: Class Notes: 2414-2.6-Part1-Spr17, 2414-2.6-Part2-Spr17

Youtube Videos to illustrate center of mass/centroid/theoreom of Pappus: Center of mass, Centroid-1, Centroid-2, Theorem of Pappus

Videos on integration by parts: Integration by parts-1, Integration by parts-2, Integration by parts-3, Integration by parts-4, Integration by parts-5

2/17/17: Class Notes: 2414-3.2-Spr17, 2414-3.3-Spr17

Class Videos: Section 3.2, Section 3.3

2/24/17: Class Note: 2414-3.4-Part1-Spr17, 2414-3.4-Part2-Spr17

Class video: Section 3.4

(see the summary on partial fractions decomposition I wrote in the concepts and formulas sheet for exam 2 for an overview of this technique as well. )

3/3/17: Class Note: 2414-3.6-Spr17, 2414-3.7-Spr17

Class videos: Section 3.6, Section 3.7

(A technology issue has resulted in the loss of sound in these videos. I apologize for the inconvenience. However, the examples are worked out in details in each video and you can email me to ask me any questions you have about those examples and concepts.)

3/10/17: Class Note: 2414-5.1-Spr17, 2414-5.2-Spr17-2

3/24/17: Class Note: 2414-5.3-Spr17, 2414-5.4-Spr17

Class videos: Section 5.3-Part 1, Section 5.3-Part 2, Section 5.4

4/7/17: Class Note: 2414-5.6-Spr17, 2414-6.1-Spr17

Class Videos: Section 5.6-Part1, Section 5.6-Part2, Section 6.1-Part1, Section 6.1-Part2, Section 6.1-Part3

4/13/17: Class Note: 2414-6.2-Spr17

Class Videos: Section 6.2-Part1, Section 6.2-Part2

4/21/17: Class Note: 2414-6.3-Spr17, 2414-6.4-Spr17

Class Videos: Section 6.3-Part1, Section 6.3-Part2

4/28/17: Class Note: 2414-7.1And7.2-Spr17

Class Videos: Section 7.1And7.2-Part1, Section 7.1And7.2-Part2

5/5/17: 2414-7.3And7.4-Spr17

Useful Videos and Links

Useful examples for sections 2.1 through 2.6: 

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?

Areas Between Curves:

patrickJMT videos: Example 1, Example 2-Part 1, Example 2-Part 2

Krista King videos: Example 1, Example 2

Volumes of Revolution - Slicing and Disk/Washers Method:

patrickJMT videos: Example 1, Example 2, Example 3, Example 4

Krista King videos: Example 1, Example 2

Volumes of Revolution - Cylindrical Shells:

patrickJMT videos: Example 1

Krista King videos: Example 1, Example 2

Arc Length and Surface Area: 

patrickJMT videos: Example 1, Example 2, Example 3

Krista King videos: Example 1, Example 2, Example 3

Physical Applications:

patrickJMT videos: Example 1, Example 2, Example 3, Example 4, Example 5, Example 6, Example 7-Part 1, Example 7-Part 2

Krista King videos: Example 1, Example 2, Example 3

Moments and Centers of Mass:

patrickJMT videos: Example 1, Example 2-Part 1, Example 2 - Part 2

Krista King videos: Example 1, Example 2, Example 3

Useful examples for sections 3.1 through 3.7: 

Integration by parts:

mathbff videos: Example 1

patrickJMT videos: Example 1, Example 2, Example 3, Example 4

Krista King videos: Example 1, Example 2, Example 3

Trigonometric integrals:

patrickJMT videos: Example 1, Example 2, Example 3, Example 4, Example 5, Example 6

Krista King videos: Example 1, Example 2, Example 3, Example 4, Example 5, Example 6, Example 7, Example 8

Trigonometric Substitutions: 

Krista King videos: Example 1, Example 2, Example 3, Example 4, Example 5

mathbff videos: Example 1

patrickJMT videos: Example 1, Example 2, Example 3-Part 1, Example 3-Part 2, Example 4, Example 5

Integration by Partial Fractions:

Krista King videos: Example 1, Example 2-Part 1, Example 2-Part 2, Example 3, Example 4, Example 5, Example 6, Example 7, Example 8, Example 9, Example 10, Example 11

patrickJMT videos: Example 1, Example 2-Part 1, Example 2 - Part 2, Example 3

The Midpoint Rule: Example 1, Example 2, Example 3

The Trapezoidal Rule: Example 1, Example 2, Example 3

Simpson’s Rule: Example 1, Example 2, Example 3

Useful examples for section 5.1 through 5.6:

Sequence:

Introduction to sequence: Example 1, Example 2

Limits of sequences: Example 1, Example 2, Example 3, Example 4

Monotonic and Bounded Sequences: Example 1, Example 2, Example 3

Series:

Partial Sums and Geometric Series: Example 1, Example 2, Example 3

Geometric and Telescoping Series: Example 1,  Example 2, Example 3, Example 4

Values of x for which a geometric series converges/ diverges: Example 1

The Divergence Test: Example 1, Example 2

The Integral Test: Example 1, Example 2, Example 3, Example 4, Example 5

Remainder Estimate for the Integral Test:  Example 1

Comparison Tests:

Direct comparison test: Example, Example 1, Example 2, Example 3, Example 4, Example 5

Limit comparison test: Example , Example 1, Example 2, Example 3, Example 4, Example 5, Example 6, Example 7, Example 8

The Alternating Series Test: Example 1, Example 2, Example 3, Example 4, Example 5, Example 6

Error Estimation for Alternating Series: Example,  Example 1, Example 2

Absolute Convergence and Conditional Convergence: Example 1, Example 2, Example 3, Example 4

The Ratio Test:

The Root Test:

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

Khan Academy Calculus Videos

Professor Leonard Calculus  Videos.

Professor Rob Bob Calculus Videos