M120 Brief Survey of Calculus II
                                     Spring 2012; 5592, CV111; MW 5:45-7:15

Instructor: M. Ehringer     Office:  PS 003, 941-2627   Home: 246-1854
Text: 
Calculus for Business, Economics, and the Social and Life Sciences by Hoffman & Bradley, McGraw-Hill, 10th Edition

Tentative daily schedule

1.

Mon, Jan 9

1.5 Limits

2.

Wed, Jan 11

1.6 One-Sided Limits and Continuity

3.

Wed,  Jan 18

4.3 Differentiation of Logarithmic and Exponential Functions

4.

Mon, Jan 23

4.4 Additional Exponential Models (project 1 – Limits – due)

5.

Wed, Jan 25

Test Chapters 1 & 4

6.

Mon, Jan 30

5.1 Antidifferentiation:  The Indefinite Integral

7.

Wed, Feb 1

5.2 Integration by Substitution

8.

Mon,  Feb 6

5.3 The Definite Integral and the Fundamental Theorem of Calculus

9.

Wed, Feb 8

5.4 Area Between Curves and Average Value

10.

Mon, Feb 13

5.6 Applications (project 2 – Integration Concepts – due)

11.

Wed, Feb 15

Test Chapter 5

12.

Mon, Feb 20

6.1 Integration by Parts; Integral Tables

13.

Wed, Feb 22

6.2 Improper Integral

14.

Mon, Feb 27

6.3 Numerical Integration

15.

Wed,  Feb 29

Test Chapter 6  (project 3 – Riemann Sums – due)

16.

Mon, Mar 5

7.1 Functions of Several Variables

17.

Wed, Mar 7

7.2 Partial Derivatives

18.

Mon, Mar 12

7.3 Optimizing Functions of Two Variables

19.

Wed, Mar 14

7.4 The Method of Least-Square

20.

Mon, Mar 19

7.6 Double Integrals (optional project – Regression models – due)

21.

Wed, Mar 21

Test Chapter 7

Mar 26-29

Spring Break 

22.

Mon, April 2

Appendix A3 – Evaluating Limits with L’Hopital’s Rule

23.

Wed, April 4

9.1 Infinite Series; Geometric Series

24.

Mon, April 9

9.2 Test for Convergence

25.

Wed, April 11

9.3 Functions as Power Series; Taylor Series

26.

Mon, April 16

Review and Catch-up  (project 5 – Series & Sequences – due)

27.

Wed, April 18

Test Chapter 9 and L’Hopital 

28.

Mon, April 23

Review for Final

Mon April 30 - 5:45-7:45      Comprehensive Final Exam

 

Course Goals

 To discover the concept of limits as applied to multiple functions and integration.  To learn multiple interpretations and applications of integration, multivariable calculus, sequences, infinite series, and Taylor polynomials.   

Grades:  There will be five100 pt tests  The comprehensive final is worth 200 pts.  An additional 100 points are from the best 10 of 12 ten-point pop quizzes.  There will also be 100 points from four assigned projects.

Office Hours Mon 1:30-3:00;  Wed 1:30-2:00;

      Wed 2:00-3:00 in Math Lab PS 015,  other times available by appointment