MATH 2414 Calculus II

Course Documents

V Payne, Ph.D.

 

First-day Handout     Information about MATH 2414 Calculus II: includes the name of the text, the grading scheme, and other relevant topics

 

Assignments            A listing of homework assignments and tentative exam dates

 

Course Files

Note  I put several files at this site.  Some will be assigned as homework, some are there for your review, and some are supplements to the text.  Assignments will be announced in class.  All the files are in pdf format.

 

Review Materials

·                            Calculus 1 topics needed for Calculus 2 – a listing of Calculus I topics

·                            Differentiation Rules Review – a listing of differentiation rules (study sheet)

·                            Basic Integration Review Calc 2      – a listing of differentiation and integration rules plus basic concepts and theorems about integration.  The material here will be discussed during the first week of class.

·     Integration Problems 2 – Basic integration exercises for review.

     Integration Problems 2 ans

·     MATH 2414  Review WS – Calculus I exercises review.

·     Algebra Review

 

Chapter 4

·     Section 4.9 #54 answer

 

Chapter 5

·     Section 5.5 Add'l Problems

Section 5.5 Add'l Problems Ans
Section 5.5 Add’l Problems #46 Ans

 

·     Section 5.7 Supplements
Trig Integrals
Trig Substitution

·     Integration Strategies

 

Chapter 6

·        Area Formulas – These are needed in Chapter 6

·        Volume Formulas

 

·        Section 6.2 Add'l Problems

      6.2 Add'l Problems Ans

·        Section 6.2 Slicing Volumes Ans

·        Section 6.2 Cylindrical Shells

 

Chapter 8

·        Chapter 8 Theorems

Chapter 7

·        Section 7.3 Exercise #36 Ans

 

Success in Calculus II 

Congratulation – you made it through Calculus I.  You are halfway through the calculus sequence if you only need single variable calculus, and you are one-third the way through the sequence that includes more than one variable.  In my opinion, Calculus II is the most technical (difficult) of the three courses, but more students succeed in Calculus II than do in Calculus I.  Maybe that is because Calculus II students know what it takes to learn the material. 

 

If your Calculus I knowledge is not fresh, you should really consider retaking MATH 2413 Calculus I.  You can’t make it though Calculus II while learning Calculus I at the same time.  If you keep this course and later drop the class, you have lost a semester and will need to take Calculus I next semester.  Be smart about what you know and enter at the correct course.  The stronger the foundation, the higher you can go.

 

We will cover several types of integration techniques, which will challenge your trigonometry knowledge, and applications of integration, which includes volumes of revolution, arc length, work, and hydrostatic force.  Then you will be introduced to infinite sequences and series, which can be used to write expressions that are hard to integrate into equivalent polynomials expressions over given x-intervals, which are easy to integrate.  Finally, you will be introduced to Differential Equations, which is considered by students to be easier than the other techniques covered in this course.  That’s why Chapter 7 is covered after Chapter 8 – we’ll get a breather at the very end of the semester.   You will also review polar coordinates and find tangents to polar curves (Appendix H.1), and end the semester by finding areas and lengths of curves given in polar coorindates (Appendix H.2).

 

This is a course that requires a lot of time, so you need to plan on spending several hours each week working problems.  Do not overload your schedule and expect to pass.  You also need to plan on spending several hours each week working problems.  Do not overload your schedule and expect to pass.