Approval Status
Approved
Date Reviewed
March 2014
As Stated on Website: "MATH 226 is the first semester of calculus for
science, engineering, and math majors. This is not a business calculus
course. Students entering Calculus I should have a firm grasp of algebra and
trigonometry. They should be able to graph elementary algebraic and
transcendental functions and their inverses. Students should also be able to
solve inequalities and equations involving exponential, logarithmic and
trigonometric functions. The main objective of Calculus I is for students to
learn the basics of the calculus of functions of one variable. They will
study transcendental functions, limits, differentiation and an introduction
to the Riemann integral, culminating with the Fundamental Theorem of
Calculus. They will also apply these ideas to a wide range of problems that
include the equations of motion, related rates, curve sketching and
optimization. The students should be able to interpret the concepts of
Calculus algebraically, graphically and verbally. More generally, the
students will improve their ability to think critically, to analyze a problem
and solve it using a wide array of tools. These skills will be invaluable to
them in whatever path they choose to follow, be it as a mathematics major or
in pursuit of a career in one of the other sciences. Upon successful
completion of the course, students should be able to:
Evaluate a variety of limits, including limits at infinity, one-sided
limits, and limits of indeterminate forms. Students should also be able to
identify discontinuities in functions presented algebraically or graphically.
Apply the definition of derivative to calculate and estimate derivatives
from formulas, graphs, or data.
Differentiate sums, products and quotients of composite polynomial,
trigonometric, exponential, and logarithmic functions.
Discuss the conceptual relations among derivatives, rates of change, and
tangent lines in the context of an applied example.
Use asymptotes, first and second derivatives to graph functions.
Solve applied problems using calculus and justify answers.
Estimate a definite integral with a Riemann sum.
Evaluate a simple definite integral using the Fundamental Theorem of Calculus."
"Satisfactory completion of ELM requirement, acceptable score on the
department's Calculus readiness test (instructions will be provided after
enrollment), and one of the following: MATH 109 or equivalent with a grade of
C or better; passing a high school calculus class or trigonometry-based class
with a grade of B or better." "Graphs. Differentiation: theory, techniques,
and applications. Integration: Fundamental Theorem of Calculus and
applications. Transcendental functions."
This is a four unit class that involved the calculus readiness test as well
as prerequisites such as basic mathematics.
Course Type
Upper Division