Course Objectives
The student will be able to do the following

Define the concepts of limits and continuity

Evaluate simple limits using the definition

Evaluate more complex limits using rules presented in class and the textbook

Define the term derivative in terms of limits

Explain the relation of the derivative of a function to the slope of a tangent line to the graph of the funtion

Explain the relation of the derivatyive of a funtion to the concept of instantaneous rate of change

List the derivatives of basic functions including polynomial, rational, exponential, logarithmic, trigonometric, and inverse funtions

Use the rules for finding derivatives to find derivatives of more complicated funtions

Describe and follow procedures for finding derivitives through implicit differentiation

Describe, set up, and solve related rates problems

Approximate zeros of functions using Newton's Method

Use calculus methods to find extrema of various functions on specified intervals

State Rolle's Theorem and the Mean VAlue Theorem and verify that a given funtion does or does not satisfy the theorem on a given interval

Define the terms "increasing" and "decreasing"

Define the term "critical pointst" and describe methods for finding them

State the First Derivative Test and use it to find relative maxima and minima of functions

Define concavity and describe the relationship between the second derivative and concavity

State the Second Derivative Test and use it to describe the concavity and to locate relative maxima and minima of funtions

Define the concept of limits at infinity and evaluate such limits for specified functions

Describe how the First and Second Derivative Tests and the concepts of limits relate to curve sketching

Apply the curve sketching concepts to specified curves

Describe what is meant by an optimization problem and solve specific examples

Define and compute differentials

Define the term "antiderivative" and find antiderivities of basic functions studied in the course

Define the term "indefinite integral" and evaluate standard examples

Describe the properties of summation notation and evaluate finite and specific infinite sums

Approximate areas under a curve through the use of Riemann sums

Define what is meant by upper, lower, and general Riemann sums

Define what is meant by the term "definite integral over an interval"

Relate the concepts of Riemann sums and definite integrals through the use of limit concepts

State the Fundamental Theorem of Integral Calculus and apply it to specified problems

Perform integration of more complicated integrals through the method of u-substitution

Approximate the value of definite integrals by the Trapezoid Rule and Simpson's Rule and discuss error analysis for each

State how the natural logarithm function can be defined using definite integrals

List the integrals of the six basic trigonometric funtions and their inverses

Define the six basic hyperbolic functions and find their derivitives and antiderivatives

Define the six inverse hyperbolic funtions and find their derivitives and antiderivatives

Other Policies

Use of cell phones to call or text others inside or outside of the classroom will not be tolerated. The only legitimate use of cell phones in the classroom would be to take a picture of work on the board. Otherwise, cell phones should be turned off and put away. Use of cell phones during tests is strictly forbidden.

Students are permitted to use computers, I-pads, or notebooks during class to take class notes, but surfing the web, checking e-mail, working on homework for other courses, or communicating with others inside or outside of the classroom is not permitted. Again, use of them on a test is strictly forbidden.

Academic dishonesty will not be tolerated and may result in penalties

Each student is expected to do his or her own work on allgraded assignments. ANY EVIDENCE OF CHEATING OR UNAUTHORIZED GROUP EFFORT WILL RESULT IN DISCIPLINARY ACTION which may range from a zero on the assignment to an F in the course. Students may discuss and compare homework problems outside of class.

** Note:** Any student experiencing difficulty with this course has an obligation to himself and the rest of the class to seek help in mastering the material. *The first step is to take advantage of the office hours set up by the instructor*. If the listed hours are unsuitable, see the instructor after class for individual appointments at mutually agreeable times. Help should be sought as soon as the problem becomes apparent. Putting it off will only make things worse! Experience shows that students who study in groups with other students from the class do better, in general, than students who try to work alone. The instructor encourages students to form study groups.