MATH 140B (Calculus I)
| DESCRIPTION |
Continuation of MATH 115B, including derivatives and
applications of
the derivative, sketching of graphs of functions, introduction to
definite
and indefinite integrals, calculation of area and inverse functions, as
well as selected precalculus topics such as the solution of problems
involving
triangles and the solution of a variety of equations. The
course
is especially recommended for science and mathematics majors. Credit
will
be granted for only one of the following: MATH 140, MATH 140B or
MATH 220. |
| PREREQUISITES |
Completion of Math 115B with a grade of C or better, or
permission
of the MATH 140B course chair. |
| TOPICS |
I. Solutions of Triangle Problems
Right triangles
Law of Sines
Law of Cosines
II. Review of Limits and Derivatives,
including Rules of Differentiation
III. Derivatives
Chain Rule
Implicit differentiation
Related rates
Approximation of derivatives
Newton-Raphson method
IV. Applications of the Derivative
Mean Value Theorem
Exponential growth and decay
Analysis of graphs of functions
Applications of the derivative
V. The Integral
Definite and indefinite integrals
The Fundamental Theorem of Calculus
Integration by substitution
Natural logarithmic function
Area
VI. Inverse Functions
Inverse functions
Exponential and log functions
Inverse trig functions
VII. Conic Sections |
| TEXTS |
Text(s)
typically used in this course |
|
