MATH 2004 Calculus at Local College
3 Credits
This course in calculus is intended to develop practical skills in differential and integral calculus. As well, it is intended to illustrate various applications of calculus to technical problems. The rules of differentiation will be introduced, and methods of differentiating various algebraic and transcendental functions will be developed. Applications of differential calculus to finding roots of equations by Newton's method, to finding maxima and minima, and to developing power series representation for functions will be studied. Methods of algebraic integration will be introduced, with both definite and indefinite integrals being determined for a variety of functions. The use of tables of integrals for finding solutions for difficult integrals will be introduced. Numerical integration using Simpson's rule will also be developed. Various applications of integration will be studied including Fourier series. First and second order differential equations will be introduced and methods of solving will be developed. These methods will include laplace transforms.
MATH 2004 Calculus at Local College
Dates: Aug 27 to Dec 7
Lecture Meeting: Monday Wednesday and Friday
Time: 11:00am to 11:50am
Instructor: Professor Snape
Location: The State University Building #13 Room 10
Upon successful completion of this course, the student will have reliably demonstrated the ability to:
1. Differentiate any algebraic or transcendental function.
2. Apply differentiation to determine roots of equations by Newton's method to determine maxima and minima of functions and determine power series.
3. Integrate any algebraic or transcendental function either by algebraic methods, by the use of tables, or by numerical methods.
4. Apply integration to determine volumes, areas, and averages and to produce Fourier series.
5. Solve differential equations by integration, by standard form procedures, by numerical methods or by Laplace transforms.