MATH 139 Course Syllabus-SUMMER 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-FTF:  Trigonometry and Introduction to Differential Calculus

SUMMER 2013 First Time Freshman

 

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

 Instructor:   (for specific course-related information, follow the link below)

Math 139-FTF

Prof. Patiak   

 

 

Grading Policy:  The final grade in this course will be determined as follows: 

Homework:

5%

Quizzes:

15%

Midterm Exam I:

16%

Midterm Exam II:

17%

Midterm Exam III:

17%

Final Exam:

30%


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.

Midterm Exam: There are NO MAKE-UP EXAMS. The material on the exams will be similar to the problems assigned below. There is one midterm exam on Thursday July 26 during the lecture hours. The midterm exam cannot be rescheduled.

Final exam: The final exam is on August 15 during lecture hours. The final exam is cumulative.

 

Midterm Exam I:

July , 2013

Midterm Exam II:

August , 2013

Final Exam:

Friday, August 16, 2013


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. 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.

 

Course Outline and Homework Assignments:

 

Date

(Tentative Only)

Lecture

Topic

Homework Assignments

Precalculus Book

Calculus Book

Week 1

July 8 – July 12

1

Review of Important Algebra Concepts

 

Diagnostic Test A: #s 1 – 10

pg. xxiv - xxv

 

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

Applications of Right Triangles

Given in class

 

 

5

Trigonometric Functions of Any Angles

5.3 #s: 17 – 63 odd, 65 – 71 odd, 91, 93, evaluate cos(22π/3) & sin(-29π/4)

 

 

6

Graphs of Sine and Cosine and their Properties

5.4 #s: 9 – 27 odd, 36, 42, 43, 44, 49(+ graph it), 57, 71, 79, 80, 81, 82

 

Week 2

July 15 – July 19

7

Graphs of other Trigonometric Functions

5.5 #s: 9 – 47 odd

 

 

8

Inverse Trigonometric Functions

5.6 #s: 9 – 43 odd, 55, 57, 59, 83, 87

 

 

 

Exam I

 

 

 

9

Verifying Identities

6.1 #s: 29, 33, 35, 39, 41, 49, 61, 102

 

 

10

Sum and Difference Formulas

6.2 #s: 7 – 17 odd, 27, 29, 31, 35, 51 – 61

 

 

11

Multiple Angle Identities

6.3 #s: 7 – 13 odd, 22, 24, 43, 45, 91

 

 

12

Trigonometric Equations

6.5 #s: 7 – 25 odd, 39, 47, 51, 55, 57, 61, 63, 65, 67, 86, 88

6.6 #s: 7 – 21 odd

 

Week 3

July 22 – July 26

13

Applications of Oblique Triangles

7.1 #s: 7 – 15 odd
7.2 #s: 21 – 39 odd
7.3 #s: 19 – 33 odd

 

 

14

Area of the Triangles

7.4 #s: 7, 9, 15, 23, 25

 

 

15

Exponential Functions

4.1 #s: 15, 23, 47, 48, 69, 73, 81, 83
4.2 #s: 23 – 30 (graph), 59, 61, 63

 

 

16

Logarithmic Functions and Properties

4.3 #s: 31 – 54, 61, 83, 87

4.4 #s: 19, 20, 25, 27, 29, 39, 43, 48

 

 

17

Logarithmic Equations

4.5 #s: 53 – 69

 

 

18

Polar Coordinates and Graphs

7.7 #s: 39, 41, 43, 47, 52

 

 

19

Parabolas

10.2 #s: given in class

 

Week 4

July 29 – Aug 2

20

Circles and Ellipses

10.3 #s: 13-17 (graph only),   41 – 51 (graph only)

 

 

 

Exam II

 

 

 

21

Review of Functions and Properties

 

Diagnostic Test C, pg.xxvii

1.1 #s 23, 24, 25, 27, 30, 32, 43-46

 

22

Limits of a Function

 

2.2 #s: 5, 6, 7, 13

 

23

Evaluating Limits Algebraically

 

2.3#s 2,  9 – 23 odd

 

24

Derivatives and Rates of Change

 

2.6 #s: 5, 13, 15, 45

2.7 #s: 19-27 odd

 

25

Differentiation Rules, and Derivatives of Polynomial and Exponential Functions

 

3.1 #s: 3 – 28, 45, 49, 50

 

26

Product and Quotient Rules

 

3.2 #s: 3 – 15, 29, 30, 33a, 35a, 39

 

27

Chain Rule

 

3.4 #s: 9 – 32, 37, 38, 69, 70

Week 5

Aug 5 – Aug 9

28

Derivatives of Trigonometric Functions

 

3.3 #s: 1 – 14, 19 – 22, 23a, 25a, 27, 28, 31

 

29

Derivatives of Logarithmic Functions

 

3.7 #s: 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14

 

 

Exam III

 

 

 

30

Higher Order Derivatives and Implicit Differentiation

 

3.5 #s 3-15, 21 – 25 odd

 

31

Increasing and Decreasing Functions, and Extreme Value Theorem

 

4.2 #s: 5, 23, 25, 35, 43–53 odd

Week 6

Aug 12 – Aug 16

32

First Derivative Test and Curve Sketching

 

4.3 #s: 7 – 16, 21, 23, 25

 

33

Concavity and Second Derivative Test

 

4.3 #s: 33, 35, 37, 38

 

34

Related Rates

 

4.1 #s: 1 – 10

 

35

Optimization Problems

 

4.6 #s: 5, 6, 9 – 12, 14, 15, 18, 23, 40

 

 

Final Exam

 

 

Prepared By:  Prof. Patiak Benjamin

Last revised:  July 3, 2013

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