Course
Description:
Math 170 Analytic Geometry and Calculus I (4 cr). This course is the
first part of a three-part Calculus series. Among other things, this first
semester covers limits, continuity, differentiation and integration of
functions, and applications of both differentiation and integration. Primarily
for students in engineering, mathematics, science or computer science.
Prerequisites:
One of the following: a) Math 143 and Math 144, b) Math 143 and
sufficiently high score on COMPASS Trig Test, or c) 2 yrs high school algebra
and 1 yr plane geometry and ½ yr analytic trigonometry and sufficiently high
score on SAT, ACT, or COMPASS Math Tests (College Algebra and Trigonometry).
(Concurrent enrollment in 170 and 144 is permitted with permission of the
department).
Textbook
Thomas' Calculus by Weir, Hass, Giordano, 11th edition
Course
Outline by Topical Areas:
Limits
Continuity
Definition of the derivative and differentiability
Differentiation formulas and the chain rule
Implicit differentiation
Related Rates
Linearization
Properties of graphs and sketching graphs
Optimization
Newton's method
Antiderivatives
Areas and the definite integral
The Fundamental Theorem of Calculus
Indefinite integrals and u-substitution
Area
Volume
Inverse functions
Exponential and logarithmic functions
L'Hospital's Rule