Applied Calculus I

MATH 106, Section 03
Spring Semester 2018

 

Instructor

John I. Moore, Jr. Phone:  843-953-7883
Office:  Thompson Hall 209       E-mail:  john.moore@citadel.edu

 

Course Description

An introduction to differential and integral calculus of polynomials, exponential, and logarithmic functions with an emphasis on applications to business and the life and social sciences. Students may not receive credit for both MATH 106 and MATH 131.

Two years of high school algebra.

 

Textbook

Calculus and Its Applications (Fourteenth Edition) by Larry J. Goldstein, David C. Lay, David I. Schneider, and Nakhlé H. Asmar, Pearson, 2018. (ISBN 978-0134437774)

 

Class Schedule

Monday-Wednesday-Friday, 8:00-8:50 a.m., Thompson Hall 216.

 

Grading

The final grade for the course is based on 6 grades as follows:

 

Miscellaneous Grading Policies

  1. Students are required to work individually on all work done outside of class that will be turned in for a grade. Unless explicitly authorized, joint work is forbidden. Assistance from anyone other than the instructor, a librarian, or a member of the academic support center is also forbidden.
     
  2. Homework will be assigned, but it will not be collected or graded. However, daily quizzes will come directly from the homework assignments.
     
  3. Class attendance and participation can influence borderline grades.
     
  4. A total of nine absences will result in a course grade of F. With respect to this policy, three lates count as an absence. In addition, if you are late by 15 minutes or more, you will be considered absent.
     
  5. Incomplete grades are given only in unusual circumstances. Consult the college catalog for policy on incomplete work.

 

Office Hours

Monday 10:00-11:00 a.m., 1:00-3:30 p.m.
Wednesday 10:00-11:00 a.m., 1:00-3:30 p.m.
Friday 10:00-11:00 a.m.

Other times by appointment

 

Important Dates

Jan. 15 Martin Luther King Day (no classes)
Feb. 5 Test 1: Sections 0.1-0.5, 1.1-1.3
Feb. 26 Test 2: Sections 1.6-1.8, 2.1-2.5
Mar. 12-16 Spring Break (Take book home to study during break!)
Mar. 23 Leadership Symposium (no classes)
Mar. 27 Last day to withdraw with a grade of “W”
Mar. 30 Test 3: Sections 3.1-3.2, 4.1-4.6
Apr. 20 Test 4: Sections 5.1-5.2, 6.1-6.3
May 1 (Tuesday) Final Exam, 8:00-11:00 a.m.

 

Expectations

  1. Do not miss an assigned test or the final exam without a valid excuse! Missing an assigned test or the final exam without a valid excuse may result in a grade of zero for that test or exam. The instructor gets to determine whether or not an excuse is valid. In particular, guard duty is not an acceptable excuse for missing an assigned test. When possible, students should notify the instructor in advance if they will be unable to take an assigned test. All make-up tests will be given outside of normal class time. Once a test has been given in class, any subsequent make-up tests may differ significantly.
     
  2. Show up for class on time and prepared. That means that you have read the appropriate sections from the book plus any handouts, and you have worked all assigned homework. If a test has been assigned, you should be prepared to take the test. If you were late to class or absent from the previous class meeting, you are responsible for getting class notes and assignments from another student in the class or from the instructor.
     
  3. If you are late to class, it is possible that you have already been marked absent by the time you arrive. It is your responsibility to notify the instructor after class that you were late rather than absent.
     
  4. Take care of any personal needs outside of class time. Except for emergencies, you should not need to go to the bathroom, get a drink of water, etc. If you need to leave the room at any time while class is in session, you should ask for permission.
     
  5. Personal conversations are disturbing to other students and to the instructor. Please be courteous and respect the rights of others.
     
  6. Cell phones must be kept out of site and set to a silent or vibrate mode during class.
     
  7. You should respect the property of your college. No eating, drinking (other than water), smoking, dipping, chewing tobacco, writing or carving on the desks, vandalism, etc. in the classrooms.

 

Daily Schedule

Dates Topics Covered
Jan. 10 Section 0.1: Functions and Their Graphs
Jan. 12 Section 0.2: Some Important Functions
   
Jan. 15 Martin Luther King Day (no classes)
Jan. 17 Section 0.3: The Algebra of Functions
Jan. 19 Section 0.4: Zeros of Functions–The Quadratic Formula and Factoring
   
Jan. 22 Section 0.5: Exponents and Power Functions
Jan. 24 Section 1.1: The Slope of a Straight Line
Jan. 26 Section 1.2: The Slope of a Curve at a Point
   
Jan. 29 Section 1.3: The Derivative and Limits
Jan. 31 Review: Sections 0.1-0.5, 1.1-1.3
Feb. 2 Test 1: Sections 0.1-0.5, 1.1-1.3
   
Feb. 5 Section 1.6: Some Rules for Differentiation
Feb. 7 Section 1.7: More About Derivatives
Feb. 9 Section 1.8: The Derivative as a Rate of Change
   
Feb. 12 Section 2.1: Describing Graphs of Functions
Feb. 14 Section 2.2: The First and Second Derivative Rules
Feb. 16 Section 2.3: The First and Second Derivative Tests and Curve Sketching
   
Feb. 19 Section 2.5: Optimization Problems
Feb. 21 Section 2.5: Optimization Problems
Feb. 23 Review: Sections 1.6-1.8, 2.1-2.5
   
Feb. 26 Test 2: Sections 1.6-1.8, 2.1-2.5
Feb. 28 Section 3.1: The Product and Quotient Rules
Mar. 2 Section 3.2: The Chain Rule
   
Mar. 5 Section 4.1: Exponential Functions
Mar. 7 Section 4.2: The Exponential Function ex
Mar. 9 Section 4.3: Differentiation of Exponential Functions
   
Mar. 12-16 Spring Break (Take book home to study during break!)
   
Mar. 19 Section 4.4: The Natural Logarithm Function
Mar. 21 Section 4.5: The Derivative of ln x
Mar. 23 Leadership Symposium (no classes)
   
Mar. 26 Section 4.6: Properties of the Natural Logarithm Function
Mar. 28 Review: Sections 3.1-3.2, 4.1-4.6
Mar. 30 Test 3: Sections 3.1-3.2, 4.1-4.6
   
Apr. 2 Section 5.1: Exponential Growth and Decay
Apr. 4 Section 5.2: Compound Interest
Apr. 6 Section 6.1: Antidifferentiation
   
Apr. 9 Section 6.1: Antidifferentiation (continued)
Apr. 11 Section 6.2: The Definite Integral and Net Change of a Function
Apr. 13 Section 6.3: The Definite Integral and Area under a Graph
   
Apr. 16 Section 6.3: The Definite Integral and Area under a Graph (continued)
Apr. 18 Review: Sections 5.1-5.2, 6.1-6.3
Apr. 20 Test 4: Sections 5.1-5.2, 6.1-6.3
   
Apr. 23 Review
   
May 1 (Tuesday) Final Exam, 8:00-11:00 a.m.