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 139: Trigonometry and Introduction to Differential Calculus
Number of Credits: 4
Prerequisites: A grade of A in Math 107 or performance on a placement exam
Textbook: Precalculus: A right triangle approach.” J.S. Ratti & Marcus McWaters, 2nd edition , Pearson The ISBN for the shortened specialized package is 125677054X.
“Calculus . Concepts and Contexts.” James Stewart, Brooks, 4th edition, The ISBN of the shortened specialized package is: 9781285119120
Math 139 Self Assessment and Solutions (click here)
Instructor: (for specific course-related information, follow the link below)
Math 139-031 |
Drop Date:
Please note that the University Drop Date
July 10, 2013 deadline will be strictly enforced.
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework: |
10% |
▪ Midterm Exam I: |
25% |
▪ Midterm Exam II: |
25% |
▪ Final Exam: |
40% |
Your final letter grade will be based on the
following tentative curve.
NOTE:
This course needs to be passed with a grade of
B or better in order
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 |
|
|
Course Policies:
** Students are required to have a separate homework binder which will be a portfolio of the semester’s work, including homework assignments, quizzes and any handouts. This binder will be checked and some homework assignments will be collected from it, graded, and returned.
** Attendance at all classes and recitations is mandatory. Exceeding three unexcused absences will result in failure of the course
** Note: A grade of B or better is required in this course to proceed with engineering calculus (Math 111)
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 three common midterm exams during the semester and one comprehensive final exam during the final exam week. Exams are held on the following days:
Exam 1: |
June 19, 2013 |
Exam 2: |
July 10, 2013 |
Final Exam: |
August 8, 2013 |
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.
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.
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.
T |
Full Summer Session Begins |
|
R |
Last Day To Register For Full Semester Course |
|
M |
Memorial Day ~ University Closed |
|
R |
July 4th Holiday ~ University Closed |
|
W |
Last Day To Withdraw from Full Semester Course |
|
R |
Full Summer Session Ends |
|
R |
Final Exam |
Course Outline and Homework Assignments:
Lecture |
Topic |
Sections & Homework from Ratti’s
Pre-Calculus Book |
Sections & Homework from Stewart’s
Calculus Book |
1 |
Review of Algebra |
Given in Class |
|
2 |
Angles and their Measure |
5.1 #s: 7 – 14, 29 – 39
odd, 61, 63, 65 |
|
3 |
Right Triangle Trigonometry |
5.2 #s: 7 – 17 odd, 25 –
43 odd, 45, 47 |
|
4 |
Trigonometric Functions of any Angle |
5.3 #s: 17 – 43 odd, 65 –
71 odd, 91, 93, evaluate
cos(22π/3) & sin(-29π/4) |
|
5 |
Trigonometric Functions of any Angle |
5.3 #s: 45-64 |
|
6 |
Graphs of Sine and Cosine |
5.4 #s: 9 – 27 odd, 36,
42, 43, 44, 49(+ graph it), 57, 71, 79, 80, 81, 82 |
|
7 |
Graphs of Sine and Cosine (continue)
& (start) Graphs of other Trig Functions |
See above for 5.4
(continue)
Below for 5.5 (start) |
|
8 |
Graphs of other Trig Functions |
5.5 #s: 9 – 47 odd |
|
9 |
REVIEW |
|
|
10 |
Inverse Trig Functions |
5.6 #s: 9 – 43 odd, 55,
57, 59, 83, 87 |
|
11 |
Verifying Identities |
6.1 #s: 29, 33, 35, 39,
41, 49, 61, 102 |
|
12 |
Sum and Difference Formulas |
6.2 #s: 7 – 17 odd, 27,
29, 31, 35, 51 – 61 |
|
13 |
Double Angle/Half Angle Formulas |
6.3 #s: 7 – 13 odd, 22,
24, 43, 45, 91 |
|
14 |
Trigonometric Equations |
6.5 #s: 7 – 25 odd, 39,
47, 51, 55, 57, 61, 63, 65, 67, 86, 88 |
|
15 |
Trigonometric Equations |
6.6 #s: 7 – 21 odd |
|
16 |
Law of Sines |
7.1 #s: 7 – 15 odd
7.2 #s: 21 – 39 odd |
|
17 |
Law of Cosines |
7.3 #s: 19 – 33 odd
|
|
18 |
REVIEW |
|
|
19 |
Areas of Triangles |
7.4 #s: 7, 9, 15, 23, 25 |
|
20 |
Exponential Functions |
4.1 #s: 15, 23, 47, 48,
69, 73, 81, 83
4.2 #s: 23 – 30 (graph),
59, 61, 63 |
|
21 |
Logs and Properties |
4.3 #s: 31 – 54, 61, 83,
87
4.4 #s: 19, 20, 25, 27,
29, 39, 43, 48 |
|
22 |
Log Equations |
4.5 #s: 53 – 69 |
|
23 |
Review of Functions and Properties |
|
Given in Class |
24 |
Limit of a Function |
|
2.2 #s: 5, 6, 7, 13,
|
25 |
Derivates and Rates of Change |
|
2.6 #s: 5, 13, 15, 45
2.7 #s: 19-27 odd |
26 |
|
|
|
27 |
Derivates of Polynomials and Exponentials |
|
3.1 #s: 3 – 28, 45, 49,
50 |
28 |
Product and Quotient Rules |
|
3.2 #s: 3 – 15, 29, 30,
33a, 35a, 39 |
29 |
Derivatives of Trig Functions |
|
3.3 #s: 1 – 14, 19 – 22,
23a, 25a, 27, 28, 31 |
30 |
REVIEW |
|
|
31 |
Chain Rule |
|
3.4 #s: 9 – 32, 37, 38,
69, 70 |
32 |
Derivatives of Logs |
|
3.7 #s: 2, 3, 4, 7, 8, 9,
10, 11, 12, 13, 14 |
33 |
Polar Coordinates |
7.7 #s: 39, 41, 43, 47,
52 |
|
34 |
Polar Coordinate Graphs |
7.7 #s: 55, 63 – 72 |
|
35 |
Parabolas |
10.2 #s: given in class |
|
36 |
Circles and Ellipses |
10.3 #s: 13-17 (graph
only),
41 – 51 (graph only) |
|
37 |
Related Rates |
|
4.1 #s: 1 – 10 |
38 |
Minimum & Maximum Values |
|
4.2 #s: 5, 23, 25, 35,
43–53 odd |
39 |
2nd Derivative Test |
|
4.3 #s: 7 – 16, 21, 23,
25 |
40 |
2nd Derivative Test |
|
Continue above
|
41 |
Optimization |
|
4.6 #s: 5, 6, 9 – 12, 14,
15, 18, 23, 40 |
42 |
REVIEW |
|
|
Prepared By: Prof. Kobra Rahimi
Last revised: May 3, 2013