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 309: Mathematical Analysis for Technology
Number of Credits: 4
Course Description: This course is intended for students in Engineering Technology. Emphasis on integration techniques; applications such as related rates, curve sketching, maximum and minimum, area, moments, centroids, volumes, approximate methods, partial derivatives, vector calculus, parametric equations, and infinite series.
Prerequisites: (Intended for students in Engineering Technology.) Math 111 or Math 138 with a grade of C or better.
Textbook: Calculus: Concepts and Contexts, James Stewart 4th Edition
Instructor: (for specific course-related information, follow the link below)
Math 309-102 |
Grading Policy: The final grade in this course will be determined as follows:
▪ Homework: |
15% |
▪ 2 Midterm Exams: |
25% each |
▪ Final Exam: |
35% |
Your final letter grade will be based on the
following tentative curve. NOTE: This course needs to be passed with a grade of C or better in order
to proceed to
Math 322.
A |
89.1-100 |
C |
69.1-75 |
B+ |
85.1-89 |
D |
60-69 |
B |
79.1-85 |
F |
0-59 |
C+ |
75.1-79 |
|
|
Drop Date: Please note that the University Drop Date July 10 , 2013 deadline will be strictly enforced.
Homework Policy:
All the homework assignments are
included in the course outline.Homework will be collected on the night of each exam for
the topics Covered in the exam only. Five percentage points is
given for a
Attendance: Attendance at all classes 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.
Makeup Exam Policy: There will be No make-up EXAMS 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. taking all th eexams is mandatory. Taking the final exam is mandatory
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 |
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R |
Last Day To Register For Full Semester Course |
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M |
Memorial Day ~ University Closed |
|
R |
July 4th Holiday ~ University Closed |
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W |
Last Day To Withdraw from Full Semester Course |
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R |
Full Summer Session Ends |
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R |
Final Exam |
Course Outline:
Lecture |
Section |
Topics |
Homework Assignments |
1 |
4.8 |
Antiderivatives |
1-15 odd |
2 |
5.3 |
Evaluating Definite Integrals |
1-27 odd |
3 |
5.5 |
Integration by Substitution |
1,2,4,5,7,9,11,15,21,23,25,31,41,45,51 |
4 |
5.6 |
Integration by Parts |
3,4,5,7,15 |
5 |
5.7 |
Integration by Partial Fractions |
21,22,24,25,30,31 |
6 |
6.2 |
Volume, Disk and Washer |
1,2,3,6,9,13 |
7 |
6.3 |
Volume by Cylindrical Shell |
3,4,6,13 |
8 |
6.4 |
Arc Length |
3,4,5,7,8,9 |
9 |
Appendix
H |
Polar Coordinates |
1,3,5,13,15,17,18,25 |
10 |
H2 |
Page A66 |
31,33,36 |
11 |
9.1 |
Three-Dimensional Coordinates |
2,3,11,12,13,15 |
12 |
9.2 |
Vector |
5,7,9,11,12,15,16,17,19,20 |
13 |
9.3 |
The Dot Product |
2-5,9,15,16,17,21,23,29,30,31,41 |
14 |
9.4 |
The Cross Product |
7-11,19,21,27,28 |
15 |
9.5 |
Equations of Lines and Planes |
3,4,6,7,11,17,19,23,27,33,53,55,56 |
16 |
9.6 |
Functions and Surfaces |
3,5,7,9,11,13,17 |
17 |
10.1 |
Vector Functions |
1,3,5,7,9,15,17 |
18 |
10.2 |
Derivatives and Integral of Vector Functions |
9,11,13,15,17,33,35,37 |
19 |
10.3 |
Arc Length & Curvature |
1,2,3,41,43 |
20 |
11.1 |
Functions of Several Variables |
5,7,8 |
21 |
11.3 |
Partial Derivatives |
15,16,17,18,19,26,29,39,51 |
22 |
11.4 |
Tangent Planes |
1,2,3,5 |
23 |
11.5 |
The Chain Rule |
1,2,3,5,7,9,10,11,26,27 |
24 |
11.6 |
Max and Min values |
5,6,7,9,11,12,15 |
25 |
12.1 |
Double Integrals |
11,12,13 |
26 |
12.2 |
Iterated Integrals |
3,4,5,7,8,15,16 |
27 |
12.3 |
Double Integral over a General Region |
1,3,4,5,7,9,10,17 |
28 |
12.5 |
Applications of Double Integrals |
3,4 |
29 |
12.7 |
Triple Integrals |
3,4,5,9 |
30 |
12.8 |
Triple Integrals in Cylindrical and Spherical Coordinates |
1,2,3,4 |
Prepared By: Prof. Emmanuel Adepo
Last revised: May 21, 2013