A journey of a thousand miles begins with a single step (Chinese Proverb). For many of you, this class is one of your first steps in college mathematics. I would like for you to watch the following video about an important trait to succeed in the class:
Grit: the power of passion and perseverance
Course Document
Syllabus: 2414-1201-TTh-Syllabus-Spr18
Please click on the link above to download and print out a copy of this syllabus. Keep it in your 3-ring binder. Read carefully and make sure you understand all the class policies in the syllabus.
Lectures, Exams and Homework Calendar: 2414-1201-TTh-Course Calendar-Spring18
There is an error in the Calendar: The final exam, following the college schedule, is on Thursday, May 10th from 12:30 to 2:20pm.
Please click on the link above to download and print out a copy of this calendar. Keep it in your 3-ring binder to know the section(s) we will cover for each class, the due date of each homework assignment, when the tests are and the chapters each test covers. If you miss a class, you are expected to get the notes and in-class announcements from a classmate.
Cheat sheet rule: The Official Rules of the Cheat Sheet
MAC tutoring: The Math Achievement Center (MAC) is an open Math tutoring lab located in Winship 110. Tutors are available for all math classes provided at LSC-NH and the MAC provides access to various forms of technology to support student learning and success. Students can check out laptops for use in the MAC to complete math assignments and have access to interactive projectors and desk top computers with all the software used in their math classes. Students are encouraged to use the MAC to visit with a tutor, meet with a group in one of the study rooms, or review with an instructor in the conference room.
MAC Regular Semester Hours
| Monday-Thursday | Friday | Saturday | Sunday |
| 8:30 a.m. - 7:30 p.m. | 8:30 a.m. - 4 p.m. | Noon - 4 p.m. | 1 - 5:45 p.m. (Located in the Library, LB-208.) |
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
Class Notes
The notes will be posted following the lectures I give in class.
1/18/18: Intro and 2.1
1/23/18: 2414-2.2-Spr18-1, 2414-2.2-Spr18-2
1/25/18: 2414-2.3-Spr18-1, 2414-2.3-Spr18-2
1/30/18: 2414-2.4-Spr18-1, 2414-2.4-Spr18-2
2/1/18: 2414-2.5-Spr18-1, 2414-2.5-Spr18-2
2/6/18: 2414-2.6-Spr18-1, 2414-2.6-Spr18-2
2/8/18: 2414-3.1-Spr18-1, 2414-3.1-Spr18-2
Section 3.2: 2414-3.2-Spr18-1, 2414-3.2-Spr18-2
Section 3.3: 2414-3.3-Spr18-1, 2414-3.3-Spr18-2
Section 3.4: 2414-3.4-Spr18-1, 2414-3.4-Spr18-2
Section 3.6: 2414-3.6-Spr18-1, 2414-3.6-Spr18-2
Section 3.7: 2414-3.7-Spr18-1, 2414-3.7-Spr18-2
Section 5.1: 2414-5.1-Spr18
Section 5.2: 2414-5.2-Spr18-1, 2414-5.2-Spr18-2
Section 5.3: 2414-5.3-Spr18-part1, 2414-5.3-Spr18-2
Section 5.4: 2414-5.4-Spr18
Section 5.5: 2414-5.5-Spr18-1, 2414-5.5-Spr18-2
Section 5.6: 2414-5.6-Spr18-1, 2414-5.6-Spr18-2
Section 6.1: 2414-6.1-Spr18-1, 2414-6.1-Spr18-2
Section 6.2: 2414-6.2-Spr18-1, 2414-6.2-Spr18-2
Section 6.3: 2414-6.3-Spr18-I, 2414-6.3-Spr18-II
Section 6.4: 2414-6.4-Spr18-1, 2414-6.4-Spr18-2
Section 7.1 and 7.2: 2414-7.1And7.2-Spr18-1, 2414-7.1And7.2-Spr18-2, 2414-7.1And7.2-Spr18-3
Section 7.3 and 7.4: 2414-7.3And7.4-Spr18-1, 2414-7.3And7.4-Spr18-2
Exam Reviews
Test 1 Review Problems: PracticeTest1-CalII-Spr18, PracticeTest1-CalII-Spr18-Key, Practice Exam 1-Written Sol
Test 2 Review: Practice2-Cal2-Spr18, 2414-Practice2-Spr18-Sol
Test 3 Review: Practice3-Cal2-Spr18, Practice3-Cal2-Spr18-withKey, 2414-Practice3-Spr18-Sol-1, 2414-Practice3-Spr18-Sol-2
Final Exam Review: 2414-Practice4-Spr18, 2414-Practice4-Spr18-withKey
Final Review Solution: 2414-FinalReviewSol-Spr18, 2414-FinalReviewSol-Spr18-2, 2414-FinalReviewSol-Spr18-3
Useful slides and videos for Math 2414
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