JOHNSON & WALES UNIVERSITY

John Hazen White School of Arts & Sciences



Course Title: Mathematics II

Course Number: MT1011

Quarter Credit Hours: 4.5 quarter-hrs.

Prerequisite: MT1010
 
 

Professor: Dr. Joyce E. Oster

Office: John Hazen White Center 542

Telephone: 401-598-1767

E-mail: interact@ici.net (home); joster@jwu.edu (school)
 
 
 
 

COURSE DESCRIPTION:

This course is a continuation of Mathematics I. Topics covered include complex algebra, equations of degree higher than two, graphs of the trigonometric functions, trigonometric identities, analytic geometry, and topics in advanced algebra.
 
 
 
 

COURSE OBJECTIVES:

1. Students will be able to correctly perform operations with complex numbers and to correctly employ the same in solving higher-degree equations on both examinations and in assigned work.

2. Students will be able to correctly perform operations with trigonometric identities, and to correctly graph trigonometric functions on both examinations and in assigned work.

3. Students will be able to solve problems in plane analytic geometry on both examinations and in assigned work.

4. Students will be able to correctly solve problems involving sequences, exponentiation, logarithms, and the binomial theorem on both examinations and in assigned work.

CONTENT OUTLINE:
 
 

Week One: Chapter 10 – Graphs of the Trigonometric Functions

(Sections 1- 6, inclusive)

Graphs of the Sine and Cosine Functions

Graphs of the Remaining Trigonometric Functions

Applications of the Graphs of Trigonometric Functions

Composite Graphs

Week Two: Chapter 20 – Additional Topics in Trigonometry

(Sections 1-6, inclusive)

Fundamental Trigonometric Identities

Sum and Difference of Two Angles

Double-Angle and Half-Angle Formulae

Week Three: Solving Trigonometric Equations

Inverse Trigonometric Functions

*** EXAM #1 - Chapters 10 & 20***

Week Four: Chapter 12 – Complex Algebra

(Sections 1-7, inclusive)

Operations with Complex Numbers

Polar Form of a Complex Number

Operations with Complex Numbers Expressed in Polar Form

Week Five: Powers and Roots

Application to Alternating Current Circuits

*** EXAM #2 - Chapter 12***

 
 
Week Six: Chapter 15 – Equations of Higher Degree (Sections 1- 4. inclusive)

Factor Theorem and Remainder Theorem

  Synthetic Division

Fundamental Theorem of Algebra

Rational and Irrational Roots

CONTENT OUTLINE: – continued
 
 

Week Seven: *** EXAM #3 - Chapter 15 ***

Chapter 21 – Plane Analytic Geometry
(Sections 1-10, inclusive)

The Straight line and its Equation

The Conic Sections

Week Eight: Coordinate Translation

The General 2nd Degree Equation

Polar Coordinates and Equations of Curves in Polar Coordinates

 
Week Nine: *** EXAM #4 - Chapter 21*** Chapter 13 – Exponential and Logarithmic Functions (Sections 1-6, inclusive) The Exponential and Logarithmic Functions

Graphs of Exponential and Logarithmic Functions

Properties of Logarithms

 
Week Ten: Common and Natural Logarithms Solving Exponential and Logarithmic Equations

Chapter 19 – Sequences and the Binomial Theorem

(Sections 1-4, inclusive)

Arithmetic and Geometric Sequences

Infinite Geometric Series

 
 
Week Eleven: The Binomial Theorem ***EXAM #5 - COMPREHENSIVE FINAL EXAM***
 
 

EVALUATION CRITERIA:

Your grade for this course will be based on the following:

MAKE-UP EXAMS:

Make-up exams are not allowed! If a student is absent on one scheduled in-class-exam day, the final exam grade will be doubled. If a student is absent on more than one scheduled in-class exam day, the missed exam(s) will be calculated as a zero (0) toward the final average. According to JWU policy, all students must take the final exam on the scheduled final exam day.

ATTENDANCE & CLASSROOM BEHAVIOR POLICY:

A maximum of five (5) absences will be allowed; 6th absence = W.

NOTE: There are no excused absences.

Attendance is taken each day during the first five minutes of class. Students will not be allowed to enter the class more than ten minutes after the start of class. Note: Excessive tardiness (less than 10 minutes late) may also result in an absence.

Departure from class, without prior approval, before the class is dismissed will be counted as an absence.

Students interrupting the teaching/learning process of the class by displaying inappropriate activity (such as sleeping; reading a newspaper or other unrelated material; talking while I am, or anyone else is, talking; or, any rude and/or immature behavior) will be asked to leave the room immediately. This will result in an absence for the day. This person must see me during office hours within two class days to be considered for re-admission, else that person will be dropped from class with a punitive grade of "W".

Students are expected to be prepared for class each day by having their math textbook, notebook, homework, pencil and/or pen. Students are also responsible for bringing in a #2 pencil and scratch paper when exam answers are to marked on scantron forms.

REQUIRED TEXT:

Basic Technical MAthematics, Allyn J. Washington; 7th Edition; Addison Wesley Longman, Inc., 2000.

RECOMMENDED:

A graphing calculator is STRONGLY recommended. The TI-83 will be used for instruction.

OUTCOMES ASSESSMENT:

Johnson and Wales University is committed to the Outcomes Assessment initiative. All faculty and students are, therefore, part of an on-going study to determine and refine the effectiveness of instruction and learning. Names of individual students will not be used when reporting results.

If students require note-taking, test-taking, or any other accommodation, they are required to see their instructor.