Integral Calculus

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.

Prerequisites: 

MATH 1550 or MATH 1551 or MATH 1501 or MATH 15X1 or MATH 1X51.

Course Text: 

Thomas, Calculus: Early Transcendentals, 13th ed.

Flow chart describing textbook choices for fall 2016.

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