Syllabus
Calculus II

Syllabus Sections

Publish Date

05/20/2012 15:44:18

Calculus II

MATH-2414

Summer 2012
05/29/2012 - 08/15/2012

Course Information

Section 002
Lecture
MTWTh 10:35AM - 11:50AM
NRG2 2244
Marcus McGuff
mmcguff@austincc.edu
(512) 223.4024

Section 002
Lecture
MTWTh 10:35AM - 11:50AM
NRG2 2244
Clarence McGuff
camcguff@austincc.edu
(512) 223.0075

Office Hours

  • M T W Th
    11:50 AM - 12:15 PM
    NRG 2139
    This summer, Clarence McGuff and I will be teaching our classes jointly.

    The dates we will each be teaching are as follows:

    May 29 - June 17 AND July 26 - August 15: Clarence McGuff
    June 18 - July 25: Marcus McGuff

    Please contact whichever one of us is scheduled to be teaching when you have a question.
  • T Th
    2:20 PM - 4:00 PM
    NRG 2139
    This summer, Clarence McGuff and I will be teaching our classes jointly.

    The dates we will each be teaching are as follows:

    May 29 - June 17 AND July 26 - August 15: Clarence McGuff
    June 18 - July 25: Marcus McGuff

    Please contact whichever one of us is scheduled to be teaching when you have a question.

INFORMATION ON THIS SITE

The information posted on this site addresses only the information required by Texas House Bill 2504; it is not the complete course syllabus. Complete information about the class will be available on my website for the course. That includes the grading policy, class withdrawal policy, class participation requirements, scholastic dishonesty, and other important information. The complete course syllabus will be handed out on the first day of class for classroom courses; that information will be posted on my website for all courses -http://www.austincc.edu/mmcguff

Course Requirements

Tests:  There will be 3 exams plus a comprehensive final exam required in this course. The following is a preliminary listing of the material covered on each test; this will probably change slightly as the semester progresses, so use this as a guide only.  (The sections covered on each test will be clearly announced before each test.  Each test will emphasize the newer material, but could cover any previous material as well.)

 

·      Test 1 : Chapter 5

·      Test 2 : Chapter 6

·      Test 3 : Chapter 8

·      Final Exam : Comprehensive over everything

 

Homework:  Written homework will be collected regularly for a grade.  There may be occasional computer based assignments or homework quizzes, depending on class time and needs (any extra assignments/quizzes will be part of your homework/quiz/lab grade for the course).

Readings

Calculus II will cover sections 5, 6, 7, and 8 of the textbook, starting with section 5.6.  You may find it helpful to consult other texts or information on the internet for additional information.

Text: Calculus: Concepts and Contexts, 4th ed., by James Stewart, Brooks/Cole 2010.  The text is sold in a full version and a shortened version, the “Single Variable” version.  Either may be used for Calculus I and II.  Students who will go on to Calculus III will need the full version.

Optional: Student Solutions Manual, Single Variableby Jeffrey A. Cole, Study Guideby Dan Clegg,

Technology required: You must have access to technology which enables you to (1) Graph a function, (2) Find the zeroes of a function.  Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use.  Other calculator brands can also be used.  Your instructor will determine the extent of calculator use in your class section.

Course Subjects

Course Outline and Approximate Calendar: 


Please note:  schedule changes may occur during the semester. 

Any changes will be announced in class.

 

Week

Dates

Instructor

Sections

Topics

1

5/28/12

Holiday – No class today

 

5/29/12

Clarence

4.9-5.5

Whirlwind review of differential calculus

 

5/30/12

 

4.9-5.5

Review of integration and substitution

 

5/31/12

 

5.9

Numerical approximation of integrals

2

6/4/12

 

5.6

Integration by parts

 

6/5/12

 

5.6

More integration by parts

 

6/6/12

 

5.7

Trigonometric integrals

 

6/7/12

 

5.7

Partial fractions

3

6/11/12

 

5.7

More partial fractions and Trig substitution

 

6/12/12

 

5.7

More Trig substitution

 

6/13/12

 

5.8

Integration using tables

 

6/14/12

 

Ch. 5

Review for Test 1, summary of methods of integration

Test 1 – Dates to be announced in class

4

6/18/12

Marcus

6.1

Areas and integration

 

6/19/12

 

6.2

Volumes and slicing

 

6/20/12

 

6.2

Volumes of solids of revolution – method of washers

 

6/21/12

 

6.3

Volumes of solids of revolution – method of shells

5

6/25/12

 

6.6

Physics applications – work

 

6/26/12

 

6.6

Physics applications – hydrostatic force

 

6/27/12

 

6.6

Physics applications – centroids and centers of mass

 

6/28/12

 

6.6

Even more physics – so when do you really need to use an integral?

6

7/2/12

 

5.10

Improper integrals

 

7/3/12

 

6.8

Probability

 

7/4/12

Holiday – No class today

 

7/5/12

 

Ch. 6

Review for Test 2

Test 2 – Dates to be announced in class

7

7/9/12

 

8.1

Intro – the need to use one type of function to approximate another; sequences

 

7/10/12

 

8.2

Series – adding it all up, infinite sums

 

7/11/12

 

8.3

Testing for convergence – the integral test and the comparison tests

 

7/12/12

 

8.3, 8.4

Other tests for convergence, alternating series

8

7/16/12

 

8.4

More alternating series, the ratio test

 

7/17/12

 

8.5

Power series – infinite polynomials

 

7/18/12

 

8.6

Using power series to represent other functions

 

7/19/12

 

8.7

Taylor and Maclaurin series

9

7/23/12

 

8.7

More fun with Taylor series

 

7/24/12

 

8.8

Applications of Taylor polynomials and error terms

 

7/25/12

 

Ch. 8

Review for Test 3

Test 3 – Dates to be announced in class

 

7/26/12

Clarence

6.1, 6.4

Parametric equations in area and arc length

10

7/30/12

 

6.4, 6.5

Arc length and average value of a function

 

7/31/12

 

7.1

Modeling and differential equations

 

8/1/12

 

7.2

Slope fields and Euler’s method

 

8/2/12

 

7.3

Solving separable equations

11

8/6/12

 

7.4, 7.5

Exponential growth and decay

 

8/7/12

 

7.4, 7.5

Exponential growth and decay

 

8/8/12

 

Ch. 7

More on differential equations, catch up on other material as needed

 

8/9/12

 

TBA

Catch up on topics as needed

12

8/13/12

 

Ch. 5, 6, 7, 8

Review for the final exam

 

8/14/12

Final Exam, Part 1 (in class)

 

8/15/12

Final Exam, Part 2 (in class)

Student Learning Outcomes/Learning Objectives

 

Learning Outcomes(COURSE OBJECTIVES)

Upon successful completion of this course, students will:

1.     Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications.

2.     Use substitution, integration by parts, trigonometric substitution, partial fractions, and tables of anti-derivatives to evaluate definite and indefinite integrals.

3.     Define an improper integral.

4.     Apply the concepts of limits, convergence, and divergence to evaluate some classes of improper integrals.

5.     Determine convergence or divergence of sequences and series.

6.     Use Taylor and MacLaurin series to represent functions.

7.     Use Taylor or MacLaurin series to integrate functions not integrable by conventional methods.

8.     Use the concept of polar coordinates to find areas, lengths of curves, and representations of conic sections.