Departmental Outline for MATH 1220
Survey of Calculus
Description: Differential and integral calculus of selected real-valued functions of one and several variables with applications.
Prerequisite: Grade of C or higher in MATH 1111, College Algebra or equivalent
Calculator: Students may have a scientific calculator. It is up to each instructor as to how much the students can use a calculator on tests.
Text: (Required) Calculus for Business, Economics, Life Sciences, and Social Sciences, 10th Edition by Barnett and Ziegler, Prentice-Hall, ISBN 0131432613
Syllabus
Chapter 1
Sections 1.1, 1.3, 1.4 Review of linear and quadratic equations
Chapter 3
Sections 3.1 - 3.7 Rates of change and limits, calculating derivatives
Chapter 4
Sections 4.1 - 4.4 Continuity, increasing and decreasing functions, local extrema, second-order derivatives, absolute extrema (section 4.5 is optional)
Chapter 2
Sections 2.2 and 2.3 Review of exponential and logarithmic functions
Chapter 5
Sections 5.1 - 5.4 Interest, derivatives of exponential and logarithmic functions, general chain rule
Chapter 6
Sections 6.1 - 6.2, 6.4 - 6.5 Indefinite integrals, substitution, definite integrals, area
Chapter 7
Sections 7.1 - 7.3 Area between curves, applications of integration, integration by parts
Chapter 8
Sections 8.1 - 8.3 Multivariable calculus: functions, partial derivatives, max/min