Calculus Syllabus San Francisco State University

Calculus Syllabus San Francisco State University

Effective Fall 1999 for Math 226, Spring 2000 for Math 227, and Fall 2000 for Math 228

Text: Calculus Concepts and Contexts by James Stewart

Note to instructors: The following list of sections is considered to be minimal. It is important to cover all of these sections since later courses depend upon the material contained in them.

Math 226. Cover Appendix B and sections 1.1 through 5.3 with the following omissions:

Appendix B cover up through parallel and perpendicular lines (p. A13)

1.3 omit (graphing with calculators)

1.7 omit (models and curve fitting)

3.8 cover linear approximations but omit differentials

4.4 omit (graphing with calculus and calculators)

4.7 omit (applications to economics)

Note: Inverse trig functions are not covered in the main body of the text, but their derivatives are treated in the section on implicit differentiation. Make sure to review the inverses of the sine, cosine and tangent functions at the appropriate time. A cursory treatment is given in Appendix C.

Math 227. Cover sections 5.4 through 8.10 plus Appendix F with the following omissions:

6.5 cover work and moments but omit hydrostatic pressure

6.6 omit (applications to economics and biology)

7.7 omit (predator/prey equations)

8.8 omit (binomial series)

8.10 omit (series solutions to differential equations)

Appendix F stress forms of partial fraction decompositions and hand computation for simple linear factors but use Mathematica

for the more complicated partial fractions problems

Math 228. Cover Appendix G plus sections 9.1 through 13.4 with the following omissions:

Appendix G cover polar coordinates but omit the material on the graphs of polar equations

10.5 omit (parametric surfaces)

12.5 omit (applications of double integrals)

12.6 cover surface areas of graphs of functions of two variables but omit areas of parametric surfaces