MATH 139 Course Syllabus-SPRING 2013

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

Prof. Rahimi

 

 

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


The time of the midterm exams is 4:15-5:40 pm for daytime students and 5:45-7:10 pm for evening students. 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, MP3 or CD players, etc.) are not allowed during any exam. Please refer to the registrar's website for the official date and time of each exam at http://www.njit.edu/registrar/exams/index.php

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.

May 28, 2013

T

Full Summer Session Begins

May 30, 2013

R

Last Day To Register For Full Semester Course

May 27, 2013

M

Memorial Day ~ University Closed

July 4, 2013

R

July 4th Holiday ~ University Closed

July 10, 2013

W

Last Day To Withdraw  from Full Semester Course

August 8, 2013

R

Full Summer Session Ends

August 8, 2013

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

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