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Department:
MATH
Course Number:
1552
Hours - Lecture:
3
Hours - Lab:
0
Hours - Recitation:
2
Hours - Total Credit:
4
Typical Scheduling:
Every Semester
Definite and indefinite integrals, techniques of integration, improper integrals, infinite series, applications.
Course Text:
Thomas, Calculus: Early Transcendentals, (14th ed.)
Flow chart describing textbook choices for Fall 2019.
Topic Outline:
Topic | Text Sections | Lectures |
---|---|---|
Review of differentiation and indefinite integration | Ch. 3, 4.8 | 2 |
Riemann Sums and the fundamental theorem of calculus | 5.1-5.4 | 4 |
Integration by substitution, area | 5.5-5.6 | 3 |
Transcendental functions: logarithms, exponentials | 7.1-7.2 | 2 |
Techniques of integration | 8.2-8.5, 8.7 | 7 |
L’Hôpital’s rule, improper integrals | 4.5, 8.8 | 4 |
First-order linear differential equations | 9.2 | 1 |
Infinite sequences and series | 10.1-10.2 | 3 |
Convergence tests, power series | 10.3-10.7 | 6 |
Taylor polynomials and Taylor approximation | 10.8-10.9 | 4 |
Applications: volumes, length, work, center of mass | 6.1-6.6 | 6 |