MT RF 8:00 - 8:50 am
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
Each student must have a graphing calculator (preferably a TI-83, TI-84, TI 86, or TI-89)
If a student has a TI-89, only those features compatible with a TI-86 will be allowed for use on tests
The final grade for the course will be determined by a combination of exams, quizzes, and homework. Homework, when assigned to be turned in will be due at the beginning of the period specified by the instructor. Late assignments will not be accepted. In-class quizzes will be given from time-to-time and will count as part of the homework grade. No make-ups will be allowed for missed quizzes.
The weight of each portion will be as follows:
Instrument Weight | Grade Scale
---------- ------ | -----------
Hour Tests (5) 70% | 90 - 100% A
Homework/Quizzes 10% | 80 - 89% B
Final Exam 20% | 70 - 79% C
| 60 - 69% D
Quizzes and tests will be done on paper provided by the instructor.
Most homework assignments will be given on paper provided by the instructor. The student should work the problems on scratch paper, and transfer the solution neatly and completely onto the paper provided, using the space provided to show the actual steps in the solution.
If a homework assignment is requested for which the instructor assigns problems out of the text, the student should turn in the problems worked neatly and completely on 8 1/2 by 11 paper, with the problems in order, and the answers clearly marked
In general, late papers will not be accepted unless the student has made arrangements with the instructor in advance of the period in which the assignment is due
Each student is expected to attend every class period for this course, arriving in class before the period starts and leaving only when dismissed by the instructor. If a student needs to arrive late, leave early, or knows in advance that he/she will miss a class, the student should inform the instructor before the start of the class. No matter what, the student should be courteous to the instructor and the other students in the class, and avoid disrupting the class.
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.