MATH 152: Calculus II
Textbook: Calculus, Early Transcendentals, Anton, Bivens, Davis
Instructor: George Voutsadakis
Office: CAS 206J
Phone: 635-2667
Email: gvoutsad@lssu.edu
URL: http://pigozzi.lssu.edu/WWW/TEACH/LSSU/F04/LSSU152F04/LSSU152F04.html
Office hours: MTRF 1:00-1:50 PM, W 10:00-10:50 AM
From the Catalog: Applications of the definite integral. Techniques of integration
and improper integrals. Infinite series. Conic sections, polar coordinates and parametric
equations.
Prerequisites: MA151 with a grade of C or better.
Course Objectives: To enrich our toolbox for evaluating definite and indefinite integrals. To experience more applications using definite integrals. To discover some of the
interconnections between infinite series and notions of calculus. To learn how to use polar
instead of cartesian coordinates to study interesting and useful geometrical figures, including
conic curves.
Skills to be developed:
Besides the content listed above the course will focus particularly in presenting several
applications. Examples are the study of several physical applications, such as rectilinear
motion, the vibrating spring and the conservation laws. Also examples from biology and
chemistry, such as population growth and aging, will be studied using differential equations.
Especially, for elementary and secondary education teachers, the course will prepare
them to use numerical computation and estimation techniques. Examples are the trapezoidal rule for computing areas under curves on the plane and Newton’s method to compute
directional fields to approximate solutions to differential equations. Also estimation of errors in numerical methods, such as in the polynomial approximations using Taylor and
Maclaurin series, will be studied. Geometric techniques will be used in applied problems to
discover auxiliary relations between variables in order to secondary variables.
SYLLABUS FOR FALL 2004: MTRF 12:00 - 12:50
Week
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Date
8/30
9/6
9/13
9/20
9/27
10/4
10/11
10/18
10/25
11/1
11/8
11/15
11/22
11/27
12/6
Monday
Derivative
BREAK
7.3
Review
7.8
8.3
8.6
Review
9.2
9.4
Review
10.5
10.8
10.9
11.1
Tuesday
Rules
BREAK
7.4
Exam 1
7.8
8.4
8.7
Exam 2
9.3
10.1
Exam 3
10.5
10.9
10.10
11.2
Thursday
Integral
7.1
7.5
7.7
8.2
8.5
8.8
9.1
9.3
10.2
10.3
10.6
BREAK
Review
11.3
Final Exam: Week of December 13-17. Please Check!
Friday
Rules
7.2
7.6
7.7
8.3
8.6
8.8
9.1
9.4
10.2
10.4
10.7
BREAK
Exam 4
11.4