Math 150CalculusSpring 2009
Instructor: Sandy Belew
Office: H211-APhone: 619-388-2385
Office Hours:
Monday, Wednesday: 12:50 to 2:20 p.m.
Tuesday, Thursday: 12:45 to 1:45 p.m.
Text: Calculus by Thomas.
Attendance and Behavior: Attendance is mandatory at the community college level. A student may be dropped after having missed 5% of the total class meetings. Leaving at the break counts as an absence. Any student that exhibits any behavior that is disruptive to the learning of any student in the class or to the instructor will be asked to leave the class, and the instructor will then file the appropriate forms with the Dean of Student Affairs and then determine whether any further action will be taken. The instructor has the authority to have a student removed from class for three days for any disruptive behavior. Texting in class is disruptive and will result in the student being asked to leave.
Cheating: Cheating will not be tolerated. Copying any portion of any assignment constitutes cheating. Wandering eyes and any talking during exams constitutes cheating. If a student is caught cheating in my class he or she will be assigned a course grade of “F”.
Homework: Homework will be assigned but not collected. To succeed in the course you need to do the homework.
Quizzes: There will be weekly quizzes. I will drop your 2 lowest quiz scores. There are no make-up quizzes. Quizzes comprise 20% of your course grade.
Exams: There will be 5 regular exams, the lowest of which will be dropped. There are no make-up exams. Exams comprise 50% of the course grade.
Final Exam: The final exam is comprehensive and comprises 30% of your course grade. In order to pass the course a minimum score of 65 on the final is required.
Student Learning Objectives:
1. Evaluate various types of limits graphically, numerically, and algebraically, and analyze properties of
functions applying limits including one-sided, two-sided, finite and infinite limits.
2. Develop a rigorous (limit proof for simple polynomials).
3. Recognize and evaluate limits using the common limit theorems and properties.
4. Analyze the behavior of algebraic and transcendental functions by applying common continuity
theorems, and investigate the continuity of such functions at a point, on an open or closed interval.
5. Calculate the derivative of a function using the limit definition.
6. Calculate the slope and the equation of the tangent line of a function at a given point.
7. Calculate derivatives using common differentiation theorems.
8. Calculate the derivative of a function implicitly.
9. Solve applications using related rates of change.
10. Apply differentials to make linear approximations and analyze propagated errors.
11. Apply derivatives to graph functions by calculating the critical points, the points of non-differentiability, the points of inflections, the vertical tangents, cusps or corners, and the extrema of
a function.
12. Calculate where a function is increasing, or decreasing, concave up or concave down by applying its first and second derivatives respectively, and apply the First and Second Derivative Tests to calculate
and identify the function's relative extrema.
13. Solve optimization problems using differentiation techniques.
14. Recognize and apply Rolle's Theorem and the Mean-Value Theorem where appropriate.
15. Apply Newton's method to find roots of functions.
16. Analyze motion of a particle along a straight line.
17. Calculate the anti-derivative of a wide class of functions, using substitution techniques when
appropriate.
18. Apply appropriate approximation techniques to find areas under a curve using summation notation.
19. Calculate the definite integral using the limit of a Riemann sum and the Fundamental Theorem of
Calculus and apply the Fundamental Theorem of Calculus to investigate a broad class of funcgtions.
20. Apply integration in a variety of application problems, including areas between curves, arclengths of
a single variable function, volumes.
21. Estimate the value of a definite integral using standard numerical integration techniques which may
include the Left-Endpoint Rule, the Right-Endpoint Rule, the Midpoint Rule, the Trapezoidal Rule, or
Simpson¿s Rule.
22. Calculate derivatives of inverse trigonometric functions, hyperbolic functions and inverse
hyperbolic functions.
23. Calculate integrals of hyperbolic functions, and of functions whose anti-derivatives give inverse
trigonometric and inverse hyperbolic functions.
Notes:
1. Any students with disabilities should meet with me during the first week of class to ensure that any necessary accommodations can be arranged.
2. There is free tutoring in the math-tutoring center located at k211.
3.It is the student’s responsibility to keep all of his or her exams, quizzes and homework assignments should there be any information that is miss-recorded.
4. The student is responsible for any and all information given during class, even if the student is absent.