FALL 2000
Mathematical Sciences Department
Course Number and Name: Math 113 Finite Mathematics and Calculus -- First Semester
Credit Hours: 4.0
Instructor: Bruce Bukiet
Room: 518 Cullimore
Phone Number: ( 973 ) 596-8392
e-mail: bukiet@m.njit.edu
Office Hours: Tuesday and Thursday 10:00 - 11:30 AM
Text -- Mathematics, An Applied Approach (7th ed.) by Mizrahi and Sullivan (ISBN 0-471-32203-2)
Topics :
Chapter 1 -- Linear Equations
Chapter 11 -- Precalculus (A Review)
Chapter 12 -- The Limit and the Derivative
Chapter 13 -- Derivative Formulas
Chapter 14 -- Applications
Chapter 15 -- The Integral Calculus
Chapter 16 -- More Applications of the Integral
Chapter 17 -- Functions of Two or More Variables
Exams:
Three exams will be held during class hours. Students are expected to take the exams on these days:
???, ??? ?;
???, ??? ?;
???, ??? ?;
The date, time and place of the final exam will be announced later in the semester.
If you are late for an exam, you will not be able to take that exam.
The grade for a single missed exam will be determined by the grade on the final exam.
In most cases, if you miss two exams, you will be assigned a grade of " F "for the course.
Books, calculators or other aids are not permitted during the exams (unless specified by the professor).
Method of Evaluation:
The final grade will be based on the scores received for the three exams and the final as well as grades on quizzes, class participation/attendance and homework. Each exam accounts for about 20% of the final grade and the final exam accounts for about 30%.
Attendance Policy:
Attendance is mandatory. Students' names will be submitted to the Dean of Freshman Studies for withdrawal from the course if they miss more than three classes. Two latenesses will be equivalent to one absence.
The last day to withdraw from the class and receive a "W" grade is Nov. 6, 2000.
Tutoring:
There is plenty of help available in this class. Your instructor will answer questions related to topics covered in class. The Mathematical Sciences Department runs a tutorial center located in University (Kupfrian) Hall, Room 100. Students are urged to utilize the center for homework and study as needed.
Homework:
Homework assignments, if any, will be determined by your instructor.
Prepared by Bruce Bukiet for Fall 2000
Homework Assignments for Math 113
The material included here is the course content by sections to be covered during the semester. The assignments are correlated to each section in the textbook.
The more exercises you do, whether they are assigned or not, the better prepared you should be.
Section 1.1 Rectangular Coordinates; Lines
HW: Page 15: 1, 3, 5, 11, 13, 19, 23, 25, 33, 37, 39, 41, 43, 47, 49, 53, 57, 61, 69, 70, 73, 75, 82
Section 1.2 Parallel and Intersecting Lines
HW: Page 23: 1, 5, 9, 15, 21, 27, 33, 37, 41, 45
Section 11.1 Functions and Graphs
HW: Page 517: 1, 7, 13-24, 31, 32, 38, 39, 41-43, 45, 49, 53, 57, 63, 65, 75, 79, 83, 87, 89, 93, 97
Section 11.2 More About Functions
HW: Page 535: 1-7, 9, 13, 19 25, 27, 31, 37, 39, 41, 45, 47, 49, 53, 63, 71, 79, 87
Section 11.3: The Exponential Function
HW: Page 553: 5, 9, 13, 25-32, 45, 49, 51, 53, 57, 59, 61, 73
Section 11.4: The Logarithm Function
HW: Page 567: 3, 9, 13, 15, 17, 20, 25, 29, 31, 35, 37, 39, 43, 45, 47, 55, 60
Section 12.1: The Idea of a Limit
HW: Page 584: 1, 3, 5, 9, 11, 13, 17, 23,29, 33, 37, 39, 41, 43, 44, 45, 48
Section 12.2: Algebraic Techniques for Finding Limits
HW: Page 596: 1,3, 7, 11, 15, 19, 23, 27, 31, 37, 39, 43, 45 47, 51, 53
Section 12.3: More about Limits
HW: Page 604: 1, 5, 7, 9, 13, 19
Section 12.4: Continuous Functions
HW: Page 610: 1, 3, 7, 11, 15, 17, 19, 20, 25
Section 12.5: The Tangent Problem; The Derivative
HW: Page 621: 1, 7, 13, 17, 21, 25, 31, 33
Section 12.6: The Derivative as an Instantaneous Velocity
HW: Page 626: 3a, 4a, 6
Section 13.1: The Simple Power Rule
HW: Page 639: 1, 3, 5, 7, 9, 13, 17, 21, 25, 33, 37, 41, 49, 51, 61, 63, 69, 73, 79, 83, 85, 91, 97, 103, 107
Section 13.3: Product and Quotient Formulas
HW: Page 663: 1, 5, 9, 13, 17, 21, 25, 33, 37, 45, 49, 57
Section 13.4: The Chain Rule
HW: Page 674: 1, 5, 9, 13, 17, 21, 27, 37, 39, 41, 53, 57
Section 13.5: Derivative of Exponential and Logarithm Functions
HW: Page 686: 1, 5, 11, 23, 25, 31, 35, 43, 48,51, 55, 67, 73
Section 13.6: Implicit Differentiation
HW: Page 696: 3, 5, 17, 19, 27, 31, 33, 39
Section 13.7: Higher Order Derivatives
HW: Page 704: 1, 5, 9, 13, 18, 19, 23, 29, 31, 37, 39, 43
Section 14.1: Curve Sketching
HW: Page 722: 1-10, 11, 17, 23, 29, 35, 37, 51, 53, 55
Section 14.2: Concavity; The Second Derivative Test
HW: Page 739: 1-10, 11, 17, 23, 29, 35, 43, 45, 49, 53, 55, 59
Section 14.3: Asymptotes
HW: Page 750: 3, 7, 13, 17, 21, 23
Section 14.4: Optimization
HW: Page 768: 1, 7, 13, 21, 25, 35, 41
Section 14.6: Related Rates
HW: Page 781: 1, 5, 9, 11, 13, 15, 17
Section 15.1: Antiderivatives
HW: Page 800: 1, 5, 11, 15, 17, 27, 33, 42, 47, 49
Section 15.2: Integration by Substitution
HW: Page 806: 1, 5, 9, 13, 18, 22, 27, 33, 37
Section 15.3: Differential Equations
HW: Page 812: 1, 5, 11, 15, 19, 21
Section 15.4: The Definite Integral
HW: Page 823: 5, 11, 17(it's a trick), 21, 25, 31, 45
Section 15.5: Area Under a Graph
HW: Page 843: 3, 9, 13, 19, 25
Section 15.7: Integration by Parts
HW: Page 849: 1, 5, 9, 15, 20, 24
Section 16.1: Average Value of a Function
HW: Page 861: 3, 7, 13, 16
Section 17.1: Functions and Their Graphs
HW: Page 890: 19, 23, 29, 37, 41, 49, 53
Section 17.2: Partial Derivatives
HW: Page 898: 3, 7, 13, 19, Find the equation of the tangent plane in 31 and 35
Section 17.3: Local Maxima and Minima
HW: Page 904: 1, 7, 11, 17
Section 17.5: The Double Integral
HW: Page 918: 1, 7, 17, 25, 27, 33
Prepared by Bruce Bukiet for Fall 2000