Central Alabama Community College

Course Syllabus - Fall, 2010

MTH 125 TTh - Calculus I

4 Semester Hours

Instructor: K. W. Nicholson

Office Phone: (256) 215-4336 Lab 215 4343

Home Phone: (256) 839 6728

nnicholson@cacc.edu

Date Submitted: August 8, 2010

Course Prerequisites: A minimum prerequisite of Algebra I, Geometry, and Algebra II with an appropriate mathematics placement score is required. An alternative to this is that the student should successfully pass with a C or higher MTH 113.

I. Course Description:

This is the first of three courses in the basic calculus sequence taken primarily by students in science, engineering, and mathematics. Topics include the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; and the definite integral and its basic applications to area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus.

II. Aims and Objectives:

As a result of completing this course, the student should be able to:

1. Use a graph to find the limit (if it exists.)

2. Find the limit "L."

3. Determine asymptotes.

4. Find the first derivative of a function using all the basic differentiation rules.

5. Find dy/dy by implicit differentiation.

6. Find any critical points of a function.

7. Locate the absolute extrema of a function.

8. Determine when a function is increasing or decreasing.

9. Use the Second Derivative Test to find all relative extrema.

10. Demonstrate proficiency in the use of a graphing calculator.

11. Evaluate the indefinite integral.

12. Use sigma notation to write a sum.

13. Determine the definite integral using the Fundamental Theorem of Calculus.

14. Integrate by Substitution

15. Differentiate and integrate logarithmic and exponential functions

16. Differentiate inverse functions

17. Solve logarithmic functions with bases other than "e"

18. Differentiate and integrate inverse trigonometric functions

III. Content and Organization:

(See pacing chart - attached)

IV. References and Supplementary Materials:

Essential Calculus, Early Transcendental Functions, by Larson, Hostetler, Edwards. An appropriate graphing calculator is not required. A TI-83 or TI-84 Texas Instrument (or higher) is allowed, but the purpose of this course is to learn to speak, read, write, and understand the basic functions used in Calculus. Too much reliance on calculators usually diminishes that objective.

V. Required Assignments:

Hand in Homework

These homework assignments are due on the dates where they are located on the pacing chart. In order to receive any credit for these assignments you must include on the piece of paper:

Your name, Math 125, Hwk #, date, and a list of 10 problems from that date's discussion topics you would like to see worked on the board. NONE accepted late!

Online Homework

With the exception of 5 that must be turned in to be graded, each homework assignment has 10 multiple choice questions. You may retake each homework assignment twice to improve your grade. The highest of the two grades will be used to compute your homework average. It is recommended that you work each problem on notebook paper and keep this paper as an aid in studying for a test.

There are two ways to approach submitting the answers to each question. The student may submit each answer as the problem is worked or may wait until all ten problems have been worked and submit the entire quiz at once. It is recommended that the student submit after each problem is worked. It is important to remember that if a student does not submit the problems individually and leaves the computer, the answers will be lost.

Note: The purpose of deadlines on Homework is to insure that you do homework several times a week, instead of the night before an exam. Hence, DO IT ON TIME OR ZERO IT, NO EXCEPTIONS! All homework assignments due 120 hours after moment assigned, and due dates are on the moodle site.

VI. Evaluation Procedures:

4 100-point chapter tests 400 points 50%

Online Homework assignments 100 points 12.5 %

Hand in Homework Assignments 100 points 12.5%

1 200-point comprehensive exam 200 points 25%

Total 800 points 100%

Note: No make-up tests will be given. The lowest grade of the four chapter tests will be replaced by 1/2 the final exam score, (if it is higher than the lowest test score). If a student is absent on a test day, that test grade will be automatically replaced by 1/2 the final exam grade. If a second test is missed, a zero will be assigned.

The above total, excluding bonus points, is 800 and your accumulative total will be divided by that amount to calculate your final average.

90 - 100 = A, 80 - 89 = B, 70 - 79 = C, 60 - 69 = D, 0 - 59 = F

Final percentage will be rounded UP, i.e., a final percent of 79.00000001 will be rounded up to 80.

VII. Other Important Information:

1. A student who stops attending class(es) without formally completing an official withdrawal is considered absent. Since the instructor cannot administratively withdraw a student, he/she will receive the grade earned in the course(s) at the end of the semester. Students are responsible for material covered when they are absent. It is the student's responsibility to withdraw from the class if they have excessive absences. Each student should be punctual. It is considered rude and an interruption to the class for students to arrive late or leave early.

VIII. Office Hours:

(See attached) Basically, anytime you can find me. (I'll either be in my office, BS 224, or the physics lab, BS 214, if I'm on campus.)

IX. Important! If you have a disability that may prevent you from meeting the course requirements, contact the instructor before the end of the first week of classes to file a student disability request and to discuss a reasonable plan. Course requirements will not be waived but accommodations may be made to assist you in meeting the requirements, provided you are timely in working with the instructor to develop a reasonable accommodation plan.

X. Statement of Harassment/Discrimination: The College and the Alabama State Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual's race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated

XI. NOTES:

1. You should keep all returned papers. You should also keep track of the ratio (your accumulative total)/(The accumulative total possible to date) as the quarter progresses. If this average is not above 70 by midterm, you should consider dropping the course to avoid a bad grade.

2. If you stop attending this class without obtaining a drop slip from student services the registrar will give you a grade of F in this course.

MTH 125 Calculus I

Tuesday & Thursday 10:50 - 12:35

Note! This pacing chart is subject to change at any time.

K.W. Nicholson's Schedule for Fall 2010

Math 125 Homework Problems Fall 2010

from Larson, Hostetler & Edwards's Essential Calculus

Chapter 1

1.2 pg. 17 1-16, 33-47, make up piecewise problems

1.3 pg. 27 9-15, 21-31,83-90, 105-110, 117-123, Bonus #3 = 113 or 114

1.4 pg. 36 1-9, 43-67

1.5 pg. 45 1-18, 21,23

1.6 pg. 56 3-35

1.7 pg. 66 1 - 18, 23 -31

1.8 pg. 75 3 - 20, 25-29

Chapter 2

2.1 pg. 87 1,5,7,9,19-23, 59-61,71

2.2 pg. 99 1-54, 79,81,85,87,89,91B93B

2.3 pg. 109 1-39,49,51,52,57B, 69-78,89B, 90B 95,97

2.4 pg. 122 1-24,33-98

2.5 pg. 131 1-20,25-45,51-55,63-75

2.6 pg. 138 11-31,39B

2.7 pg. 142 1-8,13,15,16,19,23

Chapter 3

3.1 pg. 162 1-29

3.3 pg. 177 1-16, 63, 65,67,69

3.4 pg. 188 1,3,5,9,11,13,19,31,35

3.5 pg. 194 11-35, 57-69

3.6 pg. 203 3-11, 19,21,24B,39,44

3.7 pg. 214 5-13

Chapter 4

4.1 pg. 224 3-27, 41,43,45,47

4.2 pg. 235 1-6

4.3 pg. 245 3-7,15-19,21-25,31,33,37

4.4 pg. 257 5-13, 19-25,31-35,43,45,81B

4.5 pg. 269 7-21,33-58, 69-75, 89-91

4.7 pg. 285 1-25, 27, 37, 51

4.8 pg. 291 1-33

1. Review some basic essentials in Algebra.

(a + b)ⁿ is never equal to aⁿ + bⁿ for any n, so (a + b)² = a² + 2ab + b², not a² + b².

And since ⁿ√a = (a)^1/n, = (a + b)^1/n, so

= (a + b)^1/2 is never a^1/2 + b^1/2 .

Never cancel the same thing from top and bottom of a fraction. Instead you divide numerator and denominator by the same factor, thereby reducing that factor to 1 on both top and bottom.

Analytical geometry

Points in the xy plane, distance and midpoint formulas.

A line and its essential components.

Slopes of parallel and perpendicular lines.

A circle and its essential components.

Course Overview.

1. Discuss the definition of functions and limits.

2. Discuss the true meaning of a derivative, to get an idea of its usefulness, and learn the differentiation formulas that make differentiation a powerful, easy to use tool that permeates all of science, and increasingly, business as well.

3. Practice using derivatives to graph functions, and solve applied problems.

4. Learn what an integral is, what it means, and what exactly was "the discovery of the Calculus", that made Newton and Leibniz so famous.