NJIT Academic Integrity CODE: All Students should be aware that the Department of Mathematical Sciences takes the University Code on Academic Integrity at NJIT very seriously and enforces it strictly. This means that there must not be any forms of plagiarism, i.e., copying of homework, class projects, or lab assignments, or any form of cheating in quizzes and exams. Under the University Code on Academic Integrity, students are obligated to report any such activities to the Instructor.
Math 110-031: University Mathematics II - Trigonometry B
SUMMER 2011
Textbook:
Algebra & Trigonometry, 9th Edition,
Sullivan, ISBN 978-0-321-71656-9
Prerequisites: A Grade of C or better in Math 108
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework & Quizzes: |
15% |
▪ 2 Midterm Exams: |
25% each |
▪ Final Exam: |
35% |
Your final letter grade will be based on the
following tentative curve. This curve may be adjusted slightly at
the end of the semester.
NOTE: You must score a grade of C or better
on the final exam in order to get a grade of C or better in the
course and to proceed to
Math 111.
A |
90-100 |
C |
65-74 |
B+ |
85-89 |
D |
60-64 |
B |
80-84 |
F |
0-59 |
C+ |
75-79 |
|
|
Drop Date: Please note that the Math Summer Session Drop Date July 11, 2011 deadline will be strictly enforced.
Recitation Assignments: The text contains many projects requiring students to perform sustained algebraic and trigonometric computations using techniques borrowed from calculus. Most of the questions asked on our common examinations will consist of components of these projects. In order to help students prepare for such examination questions, in which computations are isolated from the larger projects in which students are used to performing them, we have included “Modular Exercises” in most sections. Many of these exercises appear under the heading “Group Study Exercises” and are assigned to be worked in the class recitation period. Problems not completed in recitation should be carried over to the end of the week’s home work. If necessary, students should consult the mathematics tutors in the University Learning Center for assistance on those Recitation problems not worked in the Recitation period. If a Recitation assignment is completed early, students should begin READING the next section in the text.
Homework Policy: Homework problems are listed below.
Attendance: Attendance at all classes (both lecture and recitation) will be recorded and is mandatory. Please make sure you read and fully understand the Department’s Attendance Policy. This policy will be strictly enforced.
Exams: There will be two common midterm exams and one comprehensive final exam during the semester. Exams are held on the following days:
Exam 1: |
June 15, 2011 |
Exam 2: |
July 6, 2011 |
Final Exam: |
August 8, 2011 |
The final exam will test your knowledge of all the course material taught in the entire course.
Make sure you read and fully understand the department's
Examination Policy.
This policy will be
strictly enforced. Please note that electronic devices (such as calculators, cell phones, CD players,
etc.) are not allowed during any exam.
Makeup Exam Policy: There will be No make-up EXAMS or Quizzes during the semester. In the event the Final Exam is not taken, under rare circumstances where the student has a legitimate reason for missing the final exam, a makeup exam will be administered by the math department. In any case the student must notify the Math Department Office and the Instructor that the exam will be missed and present written verifiable proof of the reason for missing the exam, e.g., a doctors note, police report, court notice, etc., clearly stating the date AND time of the mitigating problem.
Further Assistance: For further questions, students should contact their Instructor. All Instructors have regular office hours during the week. These office hours are listed at the link above by clicking on the Instructor’s name. Teaching Assistants are also available in the math learning center.
Cellular Phones: All cellular phones and beepers must be switched off during all class times.
MATH DEPARTMENT CLASS POLICIES LINK
All DMS students must familiarize themselves with and adhere to the Department of Mathematical Sciences Course Policies, in addition to official university-wide policies. DMS takes these policies very seriously and enforces them strictly. For DMS Course Policies, please click here.
M |
Memorial Day ~ University Closed |
|
R |
Last Day to Withdraw from Summer Session Math Courses |
|
M |
Independence Day ~ University Closed |
Course Outline and Homework Assignments:
Course
Outline |
|||
Lecture |
Sections |
Topic |
Assignment |
Week 1
(5/23 – 5/26) |
R.5 |
Factoring |
# 7, 11, 14, 15, 21, 24, 25, 33, 77–103 (odd) |
R.8 |
Roots and Exponents |
# 13–31 odd, 44, 48, 59–71 odd |
|
1.2, 1.3 |
Quadratic Equations (Complex Roots) |
1.2: # 9, 11, 13, 20, 33, 35, 36, 41, 43, 45, 92, 95
1.3: #61, 65, 66 |
|
1.4 |
Solving other Equations |
# 7, 9, 11, 17, 26, 29, 36, 41, 46, 67, 73, 74, 75 |
|
Week 2
(6/2 – 6/3) |
1.7 |
Equation Applications |
# 17, 26, 27, 29, 34, 40, 48 |
2.3 |
Graphs of Lines |
# 37, 38, 39, 47–65 odd, 72, 74, 88, 92, 97, 103,
106
|
|
Week 3
(6/6 – 6/9) |
12.1 |
Systems of Equations |
# 17–35 odd, 58, 63, 41–49 odd, 70 |
3.1 |
Functions |
# 40, 47-57 odd, 75, 77 |
|
3.2, 3.4 |
Graphs of Common Functions |
3.2: # 13, 16, 17, 25
3.4: # 17–24 all |
|
4.1, 4.3 |
Linear and Quadratic Functions & Applications |
4.1 # 37, 38
4.3: # 11-18, 31–39 odd, 76 |
|
Week 4
(6/13 – 6/16) |
6.3, 6.4 |
Exponential and Log Functions |
6.3: # 33-40 all, 63, 66, 75, 77, 79
6.4: # 25–41 odd |
|
REVIEW FOR EXAM I |
Exam I on June 15th
|
|
6.5, 6.6 |
Log Properties and Equations |
6.5: # 13–21 odd, 39, 48
6.6: # 5–19 odd |
|
Week 5
(6/20 – 6/23) |
6.8 |
Exponential Growth and Decay Applications |
# 2, 3, 7, 11, 12 |
7.1 |
Angles and their Measure |
# 37-55 odd, 71–77 odd, 98, 100 |
|
7.2 |
Right Triangle Trig |
#11, 14, 15, 25, 27, 32, 37, 57 |
|
7.2 |
Trig Values of Acute Angles and Applications |
# 17-27 odd, 57, 58, 71, 74 |
|
Week 6
(6/27 – 6/30) |
7.3 |
Trig Functions of Any Angle |
# 11, 13, 21–79 odd |
7.4 |
Trig Functions of Any Angle |
# 83, 84, 85, 86, 93, 95, 97, 100 |
|
7.5 |
Unit Circle |
# 9, 15, 21–43 odd, 59 |
|
7.6 |
Graphs of Sine and Cosine Functions |
#11, 13, 21–30 (all), # 35-53 odd |
|
Week 7
(7/6 – 7/7) |
|
REVIEW FOR EXAM II |
|
7.7 |
Graphs of Other Trig Functions |
# 23–33 odd |
|
Week 8
(7/11 – 7/14) |
8.1, 8.2 |
Inverse Sine, Cosine, Tangent |
8.1: # 15–21 odd, 37, 41, 42, 50, 61
8.2: # 9–27 odd |
8.3 |
Trigonometric Equations |
# 11–17 odd, 24, 31, 35, 41, 57, 70, 72 |
|
8.4 |
Trigonometric Identities |
# 19, 24, 32, 37, 47, 72, 73 |
|
8.5 |
Sum and Difference Formulas |
# 11–25 odd |
|
Week 9
(7/18 – 7/21) |
8.6, 8.7 |
Double Angle Identities (also half angle,
sum-to-product, product-to-sum identities) |
8.6: # 7, 11, 15, 19
8.7: # 7, 8, 17, 19 |
9.1 |
Applications of Right Triangles |
# 9, 11, 19, 21, 27, 36 |
|
9.2 |
Law of Sines |
# 9–18 odd, 25, 27, 29 |
|
9.3 |
Law of Cosines |
# 9–17 odd |
|
Week 10
(7/25 – 7/28) |
9.4 |
Heron’s Formula |
# 13–-21 odd, 37 |
10.1 |
Polar Coordinates |
# 31, 33, 39, 42, 47, 56, 57, 68, 77 |
|
10.2 |
Polar Equations and Graphs |
# 14, 17, 18, 37, 38, 40, 49, 75 |
|
11.1, 11.2 |
Conic Sections, Parabolas |
11.2 # 37, 42, 46, 55, 56, 58 |
|
Week 11
(8/1 – 8/4) |
11.3, 2.4 |
Circles & Ellipses |
2.4: # 15, 21,, 23, 25, 34
11.3: # 17, 19, 43, 45, 47, 49 |
12.5 |
Partial Fractions |
# 13, 14, 15, 21, 24, 45 |
|
12.6 |
Systems of Nonlinear Equations |
# 5, 9, 13, 16, 19, 26, 37, 39, 51 |
|
|
REVIEW |
|
** Attendance at all classes and recitations is mandatory. Exceeding three unexcused absences will result in failure of the course.
Important Departmental and
University Policies
Prepared By: Prof. John Porus
Last revised: April 25, 2011