MTH 02 Course Outline



PAUL D. CAMP COMMUNITY COLLEGE

Southampton High School

 

Course Syllabus

 

MTH 175/176

Calculus of One Variable

(2 college courses taught in one semester) 

2016 - 2017 School Year  

 

Instructor: Colonel Joel Bradshaw, PE

Phone: 703-209-3030 (cell)

Email:  jbradshaw@pdc.edu

Web site: the SHS website

COURSE DESCRIPTION

MTH 175/176 - Calculus of One Variable I/II: Presents differential calculus of one variable including the theory of limits, derivatives, differentials, anti-derivatives and applications to algebraic and transcendental functions. MTH 176 continues the study of integral calculus of one variable including indefinite integral, definite integral and methods of integration with applications to algebraic and transcendental functions. This series is designed for mathematical, physical, and engineering science programs.

Lecture 7.5 hours per week.

MTH 175 will be completed in the first quarter (9 weeks) with a mandatory Final Exam.

MTH 176 will be completed in the second quarter (9 weeks) with a mandatory Final Exam.

Course Prerequisites

Prerequisite for this course is a placement recommendation for MTH 175 and four units of high school mathematics including Algebra I, Algebra II, Geometry and Trigonometry or equivalent.

COURSE OVERVIEW

MTH 175 is the first semester of a two-semester calculus sequence for students with majors in engineering, physical sciences, computer sciences, or mathematics. This course will concentrate on understanding and knowing fundamental concepts. It is a rigorous course in calculus.

MTH 176 is the second semester of the sequence.

By taking this course, students should expect to be able to:

a. present a function in symbolic, graphical, or numerical form and determine its derivative.

b. state the behavior of a function using its derivatives.

c. evaluate definite integrals using approximation techniques or formulas.

d. use derivatives and integrals, as appropriate, in applications to find rates of change, optimization problems, areas, volumes, arc lengths, and surfaces of revolution.

COURSE OBJECTIVES

Throughout the course, you should aim to achieve the following general course goals:

1. Understand the concept of limit and be able to evaluate limits.

2. Be able to use derivatives and differentials to solve problems including instantaneous rate of change, optimization, and other application problems.

3. Be able to find derivatives of algebraic, exponential, logarithmic, trigonometric, and hyperbolic functions.

4. Apply the derivative to graphing techniques.

5. Learn the process of integration and its relationship to differentiation.

6. Be able to solve integration problems using various techniques, including substitution, natural logarithms, exponentials, hyperbolic functions, trigonometric substitution, integration by parts, partial fractions, and integration tables.

7. Apply integration to area and volume problems.

TOPICS for MTH 175 (First Semester in Dual-Credit Calculus)

The major topics and their sequence are as follows:

Chapter P – Preparation for Calculus (for your reference—not taught in class)

Chapter 1 – Limits and Their Properties

Chapter 2 – Differentiation

Chapter 3 – Applications of Differentiation

Chapter 4 – Integration

TOPICS for MTH 176 (Second Semester in Dual-Credit Calculus)

The major topics and their sequence are as follows:

Chapter 5 – Logarithmic, Exponential, and Other Transcendental Functions

Chapter 6 – Differential Equations

Chapter 7 – Applications of Integration

Chapter 8 – Integration Techniques

Chapter 9 – Infinite Series

Chapter 10 – Conics, Parametric Equations, and Polar Coordinates

A detailed listing of the course topics is in the Semester Schedule.

METHODS OF INSTRUCTION

The class is taught primarily by the lecture/demonstration method, with time allowed to review select homework problems in class. Students are expected to teach certain concepts as assigned by the instructor. This will factor into the classwork/homework grade. Study and working problems will be required outside the classroom. Plan on 2 hours per night.

METHODS OF EVALUATION

Your grade will come from classwork (textbook assignments), homework, quizzes, in-class and take-home chapter tests, and a final exam. See the Course Policies section below for details about each component.

TEXTBOOK AND REQUIRED MATERIALS

• Textbook: “Calculus”, 10e, by Ron Larson and Bruce Edwards (2014)

• Supplies: pencils, ruler, loose-leaf notebook, lined loose-leaf paper, and graph paper.

• Calculator: Each student must have his/her own TI-84 graphing calculator.

(I use the TI-84 Plus CE Silver which graphs in color)

COURSE POLICIES

A.  Attendance Policy

You are required to attend every class. If you do miss class, it is your responsibility to keep up with all class work and assignments.

B.  Grading Policy

The components of your 9-weeks grade will have the following weights:

|Chapter Tests |40% |

|Weekly Quizzes and Pop Quizzes |40% |

|Classwork/Homework |20% |

|Total |100% |

I will record all components of your grade on Southampton’s Powerschool so you can keep track of them during the semester. Your course grade will be based on your weighted average percent:

|PDCCC Grade: | Southampton High School Grade: |

|A: 90 – 100% | A: 93 - 100% |

|B: 80 - 89% | B: 85 - 92% |

|C: 70 - 79% | C: 77 – 84% |

|D: 60 - 69% | D: 70 – 76% |

|F: 59% and below | F: 69% and below |

C.  Testing Policy

You must take all chapter tests and the final exam. Calculators may be allowed on some quizzes and tests. You may not use books, notes, phones, or other electronic devices, nor consult with one another while taking a test, unless otherwise specified by the instructor. Quizzes, covering 2 to 3 sections, are usually given on Thursdays, and sometimes on Tuesdays. Tests are given on each chapter, and a two-hour final exam is given as noted on the Schedule

D. Honor Code

Any evidence of copying from another student, or otherwise cheating on a test or quiz, is not tolerated, and you will receive a 0 (zero) grade on that test. A student helping another to cheat will be equally guilty and also receive a 0 on the quiz or test.

E.  Homework Policy

You should read the material in the textbook and do the homework exercises specified in the schedule. Select homework/classwork assignments from the textbook will be discussed in class. Your classwork grade is based on these textbook assignments, as well as participation in class. The regular completion of homework/classwork assignments will be the most important activity that you can do to meet with success in this class. Students who are constantly behind or who do not do homework/classwork are the same students who do poorly on tests.

Details on classwork:

You are expected to take notes in class. You will not be given pre-printed notes nor outlines. For the Classwork grade, you will be expected to participate in class, especially showing classwork problems from the textbook to the class and taking organized and complete notes of each topic. Every section of the textbook ends with a set of Exercises.  The answers to the odd-numbered exercises are in the back of the book.  Keep a bookmark in this answer section so you can check your answers quickly!  In the Schedule you will be assigned a few sample exercises to do for written classwork. I will ask for students to show and explain these exercises on the board at the next class, for which you earn points toward your Classwork grade. Do not copy from CalcChat, MathWay, or any other online math problem solving website. That is considered cheating—even for homework.

F. Quizzes

Most quizzes are announced and will be given when the teacher is not present; however an unannounced (pop) Quiz on homework may be given in class on some days. These unannounced quizzes cannot be made up if you are absent or late.

G. Late or make-up work

You are expected to take chapter tests at the time scheduled. If you are absent from a test, you must follow the following makeup test procedure:

1) You must present an acceptable reason for missing the test in writing or texting to me no later than the first class meeting you return to class after missing the test.

2) You must select an agreeable time for taking the makeup test. The time must be within 3 school days of your return to the class. Any additional unexcused delay in making up a test will cost you a 7-point score reduction.

H. Other polices

Since a goal of this class is clear communication, it is required that you show all your steps when doing homework or test problems; just writing "the answer" is seldom sufficient and may result in a grade deduction for not showing your work. (On the other hand, partial credit will be given on test items for which some, but not all, steps are correct.) With this requirement in mind, when you are using the computer program to do your homework, you should use paper and pencil to write down your work; number the problem and show all your steps, even though you key in only the final answer.

You should arrange to have your own study buddy or a study group (up to 3 classmates) in this course. Confer with each other when doing homework or reviewing for tests.  You can learn a lot by working with your classmates.  Often there is more than one correct approach to solving a problem, and you will increase your understanding of the material by viewing it from different perspectives.  Group members can point out where you have gaps in understanding, and they can provide you with notes should you miss a class.  Also, in order for you to explain material to another student, you will develop a firmer understanding of it yourself; so working with a group helps you to organize your thoughts.

INSTRUCTOR RESPONSIBILITY

As your instructor, I will teach each class to the best of my ability, explaining the material in each section of the textbook that we cover.  As time permits, I will explain each concept and give examples of problems. I will welcome serious questions about the material during each class, and I will work out selected problems from the assigned homework that give students difficulty. I will grade your tests impartially and return them to you within four days.  I will try to treat you always with respect and fairness, and I will try to help you understand the material.  

STUDENT RESPONSIBILITY

Students are responsible for being aware of the policies, procedures, and student responsibilities specified by Southampton High School.

MY EXPECTATIONS OF YOU

As a student in this class, I expect that

1) you are here to pursue a goal of learning more mathematics by

doing your work on time, paying attention and taking notes in class, and

2) you are willing to put in the long hours of work necessary to be successful.

In addition to these two basic expectations, here are some other detailed ones:

a) Study all assigned sections in your textbook.

b) Refer to your course schedule throughout the semester so that you always know where we are in the course and in the book.

c) Include “SHS Calculus” as part of the SUBJECT line in email to me.

d) Check your student email and Blackboard every day.

e) Be familiar with my Web site.

f) If you have been absent from class, do not ask me if you missed anything, because you missed everything we did that day. Therefore, you need to get notes from your study buddy or another one of your classmates.

g) When you meet with me for help, know what your question is! Prepare to ask questions by reading and studying the text, working through example problems, and attempting the problem yourself. Bring your written attempts.

h) If you need to see me about signing a form or some other administrative task, please do so before class, after class, or during break--not during class time.

i) No cell phones or pagers are allowed to be used while in the classroom except for taking pictures of board work/notes.

j) It is a cheating violation to use a computer, tablet, cell phone or other communication device on a test or online quiz. Only the specified calculators, text, and class notes may be used as allowed by the instructor.

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