MC900358875[1]
 

Spring 2014:  MATH 23A: Transitional Calculus

 

Monday, Wednesday, and Friday:  8:30 AM – 9:20 AM:  Perkins 102

Tuesday and Thursday:  8:30 AM – 9:45 AM :  Lafayette L100

 

MATH 23A covers material covered in MATH 22.  However, we also need to cover some of the material covered in MATH 21, since you took MATH 19.  The MATH 22’ish topics are more advanced methods of differentiation and integration, as well as applications of these techniques.  Other topics of study are Taylor sequences and series and polar coordinates.  The additional topics we need to “pick up” are derivatives and integrals of trigonometric and exponential functions.  Applications are used extensively throughout the course.  Upon successful completion of this course, students will head to Calculus III, (MATH 121). 

 

Instructress: Joan Rosebush, (Rosi)

Office: Votey Hall 359

Telephone: (802) 656-8858

Fax: (802) 419-3847

E-mail: jrosebus@uvm.edu

Web-Site Address:  www.uvm.edu/~jrosebus

 

 

Office Hours

 

Monday 4:00 PM until 6:00 PM

Tuesday 3:00 PM until 5:00 PM

 

If you need help, please ask!  If you wish to meet with me other than during my office hours, please e-mail me days and times that are convenient for you to meet.  I would be happy to make an appointment with you!

 

 

ENHANCED WEB  ASSIGN & E-BOOK CALCULUS

ISBN 0-538-73807-3

Publisher South-West

 

 

Final grade for the class is based upon:

Quiz Average, (two dropped): 50%,

Test Average:  30%, and

Final Examination: 20%.

 

FINAL EXAMINATION:  ?

 

No make-up evaluations are given. 

 

 

Homework!

 

You are expected to actively participate in this course.  Perfect attendance may help your final average in the class. Less than perfect attendance will not help your final grade. Comprenez-vous?

Do you require special accommodations? Please let me know by Friday afternoon, January 17, 2014, at 4:00 PM.  I would be happy to accommodate you!  

 

BONUS!!!!

 

I will be providing a trigonometry review twice for the first three weeks of the semester!  Yahoo!  Here are the schedules for those.

 

Tuesday nights: January 14th, January 21st, and January 28th:  7:00 PM until 8:30 PM:  Votey Hall 209

These are optional meetings.  I am trying to help you solidify the trigonometry that you already know!

 

 

 

 

 

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Spring 2014:  MATH 23A:  Transitional Calculus

Learning Objectives

 

“Derivatives of Polynomials and Exponential Functions”

“Derivatives of Logarithmic Functions”

“Exponential Growth and Decay”

“Hyperbolic Functions”

Antiderivatives

“Areas and Distances”

“The Definite Integral”

‘The Fundamental Theorem of Calculus”

‘Indefinite Integrals and the Net Change Theorem”

“The Substitution Rule”

“Areas Between Curves”

“Volumes”

“Volumes by Cylindrical Shells”

“Average Value of a Function”

“Partial Fractions”

“Integration by Parts”

Formula

“Integration by Parts”

Step Method

“Integration by Parts”

Combo

“Trigonometric Integration”

Odd-Powered

“Trigonometric Integration”

Even-Powered

“Trigonometric Substitution”

“Integration by Tables and Other Integration Techniques”

“Indeterminate Forms and L’Hopital’s Rule”

“Improper Integrals”

“Sequences”

“Series and Convergence”

Geometric Series

“Series and Convergence”

Divergence Test

“Series and Convergence”

Telescoping Sums

“The Integral Test and p-Series”

“Comparisons of Series”

Direct Comparison Test

“Comparisons of Series”

Limit Comparison Test

“Alternating Series”

“The Ratio and Root Tests”

Ratio

“The Ratio and Root Tests”

Root

“Taylor Polynomials and Approximations”

“Power Series”

“Representation of Functions by Power Series”

“Taylor and Maclaurin Series”

“Conics and Calculus”

“Plane Curves and Parametric Equations”

“Parametric Equations and Calculus”

“Polar Coordinates and Polar Graphs”

“Polar Equations of Conics and Kepler’s Laws”

“Complex Nunbers

“Separable Equations”

“Linear Equations”

Mathematica