Text:
Stewart, Calculus
(Concepts and Contexts),
3rd ed, Brooks/Cole
It
is departmental policy
that graphing calculators are required of all students in Math 1230. However, the department
has agreed that the
symbolic calculation of basic derivatives, limits, and integrals is
part of the
language of mathematics, and students should be proficient in this
language. The Final Exam could be given in two
parts, the first part not allowing calculators.
Generally, however, calculators should be permitted in
most testing
situations.
Warning: the students have access
to Student
Solutions Manual containing worked-out solutions to all
odd-numbered
problems. Thus, you
should avoid
assigning these for credit.
Currently, the department requires
gateway exams in
all sections of Math
1230 and Math1710.
Course Prerequisites: A passing grade (C or better) in Math 1220 or Math 1700.
Objectives:
1. Retention and strengthening prerequisite knowledge base.
2. Evaluating definite, indefinite and improper integrals using a
variety of integration techniques.
3. Using numerical techniques to estimate integrals and assess error
involved..
4. Understanding the concept of convergence of a infinite series and
mastering methods for determining the convergence of a variety of
infinite series.
5. Learning the proper use of mathematical notation.
6. Strenthening abilities to tackle multi-step problems and to explain
the process.
8. Applying modern computer algebra systems in assisting the
analysis of problems in calculus and the visualization of their
solutions.
9. Developing skills in mathematical reasoning.
10. Developing a broad perspective of how various different topics in
this course fit together.
Schedule: The schedule below allows
for covering 26 sections (plus appendix G) in 12 weeks, leaving about 1.5 weeks for expanding, additional material and
testing.
Chapter
Title
Sections
Weeks
5
Integrals
6 - 10
3.5
Begin with a review of section 5.5 (substitution rule).
Add Appendix G (partial fractions) to section 5.7.
Sec 5.9: Consider using sum seq (see 1220 syllabus) on the TI calculators
to facilitate the Trapezoidal and Simpson Rules.
Precede
section 5.10 (improper integrals) with section 4.5
(l’Hospital’s Rule), which
was not covered in Math 122.
6
Applications of Integration
1
- 5
2.5
Sec
6.5: Do at least
one of these applications.
7
Differential Equations
1 - 5
2.5
Sec 7.2:
Implement Euler’s method on the TI calculators.
8
Infinite Sequences and Series
1 - 9
3.5