Download Calculus 1 Syllabus

THE COLLEGE OF STATEN ISLAND, CUNY
DEPARTMENT OF MATHEMATICS
MATH 231–CALCULUS # 1
SYLLABUS (Fall 2016)
Instructor Name: Rashidul Bari
[email protected]
Classroom # 1S-115 (M/W 4:40 -6:20)
Email Address:
Website: www.bari-science-lab.com
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Office Hours: 6: 20 to 8: 20 pm or by appointment || Final Exam: December 21 (Wednesday) at
our class time || Dropping date: Monday, Nov 10 (with W) || Videos: I will upload video of every
major topics on my Youtube Channel: Bari Science Lab.
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About this course: 1665, Isaac Newton left Cambridge University and returned to his hometown
of Woolsthorpe to escape the worst ravages of the Black Plague. At the age of 23, while relaxing
on his mother's farm, Newton, by his own account, saw an apple falling from a tree and he asked
a simple question, “If apple fall, does the moon also fall”. He invented calculus to solve this
falling moon problem. Calculus is about the very large, the very small, and how things change.
The surprise is that something seemingly so abstract ends up explaining the real world. Calculus
plays a starring role in the biological, physical, and social sciences. By focusing outside of the
classroom, we will see examples of calculus appearing in daily life. This course is a first and
friendly introduction to calculus, suitable for someone who has never seen the subject before, or
for someone who has seen some calculus but wants to review the concepts and practice applying
those concepts to solve problems.
Textbook: Rogawski and Adams, Calculus – Early Transcendentals, 3nd Edition. W. H. Freeman
& Co. (2015). ISBN# 978-1-4641-1488-5. Note: Below, each lesson corresponds to a one-hour
class. Homework problems in bold correspond to similar WeBWorK problems, which must be
submitted online.
Lesson
Section
Topic
Homework Problems
8/29 (mon)
1.2 , 1.4
1.5, 1.6
Linear and quadratic functions,
Trigonometric functions, Inverse
functions, Exponential and log
function
1.2 & 1.4 (13, 14, 18, 21, 25, 31,
35, 39, 41 3, 7, 13, 15, 19, 21, 47)
1.5 & 1.6 ( 3, 4, 28, 33, 36, 37, 47,
49, 53, 1, 7, 9, 22, 28, 29, 31, 33,
34, 42.
8/31(Wed)
2.1 2.2
Quiz # 1
Limits and rates of change Limits:
Numerical and graphical
1, 3, 4, 17, 24, 25, 30
1, 5, 7, 17, 19, 21, 24, 28, 30,
51, 55
9/5 (Mon)
Labor Day--College is Closed
9/7 (Wed)
2.3
Quiz # 2
Limit laws
4, 5, 9, 16, 17, 19, 27, 29, 31
9/12 (Mon)
2.4
Quiz # 3
1, 17, 19, 22, 25, 51, 57, 65, 71,
Continuity
77
9/14 (Wed)
2.5
Quiz # 4
Evaluating limits algebraically
5, 7, 9, 17, 21, 27, 29, 39, 47,
51, 52
9/19 (Mon)
2.6
Quiz # 5
Trigonometric limits
2, 12, 17, 21, 25, 29, 33, 34, 36,
44
9/21 (Wed)
2.7
Quiz # 6
Limits at infinity & Intermediate
Value Theorem
2.7 (7, 8,10,14,19, 22, 30, 38)
2.8 (3, 5, 7, 9, 15)
9/26 (Mon)
3.1
Quiz # 7
Definition of the derivative
Derivative as a function
3.1 (6, 9, 13, 17, 18, 22, 26, 29,
53, 55, 57)
3.2 (9, 11, 17, 23, 32, 35, 35,
41, 43, 52, 53, 66, 68)
9/28 (Wed)
Exam # 1
10/3 (Mon)
No Class
10/5 (Wed)
3.3
10/6
(Thursday)
Quiz # 8
Product and quotient rules
6, 8, 9, 19, 21, 29, 30, 31, 35,
41, 43, 53
Classes follow Monday Schedule
10/10 (Mon)
No Class
10/12 (Wed)
No Class
10/17 (Mon)
3.4
Quiz # 9
Rates of change
14, 16, 25, 26, 38, 41, 43
10/19 (Wed)
3.5
Quiz # 10
Higher derivatives
5, 9, 11, 19, 21, 27, 39, 41
10/24 (Mon)
3.5
Quiz # 11
Higher derivatives
5, 9, 11, 19, 21, 27, 39, 41
10/26 (Wed)
3.6
Quiz # 12
Derivatives of trig functions
1, 7, 10, 17, 18, 23, 29, 43
10/31(Mon)
3.7
Quiz # 13
Chain rule
Implicit differentiation
3.7 (5, 7, 11, 13, 27, 35, 36, 43,
47, 55, 87)
3.8 (3,5,11,17,23,28,33,
41,54,82)
11/2 (Wed)
Exam # 2
11/7 (Mon)
3.9
Quiz # 14
Derivatives of exponentials and
logs
1, 3, 7, 9, 17, 45, 47
11/9 (Wed)
3.10
Quiz # 15
Related rates
3, 5, 11, 15
11/14 (Mon)
3.10
Quiz # 16
Related rates
16, 19, 21, 25, 29
11/16 (Wed)
4.1
Quiz # 17
Linear Approximation
5, 7, 9, 13, 24, 25, 37, 41, 47,
51, 54
11/21 (Mon)
4.2
Quiz # 18
Extreme values
1, 4, 9, 17, 21, 41, 49, 55, 63
11/23 (Wed)
4.3, 4.4,
4.5
Quiz # 19
First derivative test, Concavity and
second derivative, L’Hopital Rule
4.3(1, 15, 16, 17, 25, 26, 34,
38, 46, 50, 55)
4.4(1, 2, 7, 9, 13, 16, 18, 23,
37, 48, 51, 59)
4.5 (8, 12, 16, 19, 22, 23, 31,
40, 43, 46, 65)
11/28 (Mon)
4.6
Quiz # 20
Graph sketching and asymptotes
1, 13, 19, 28, 31, 34, 38, 45, 54,
57
11/30 (Wed)
4.7
Quiz # 21
Optimization
1, 8, 13, 15, 16, 22, 26, 27, 30,
33, 43, 57
12/5 (Mon)
Exam # 3
12/7 (Wed)
5. 1
Quiz # 22
Approximating area
3, 15, 17, 19, 21, 47, 79
12/12 (Mon)
5.2
Quiz # 23
Definite integral, Antiderivatives
& Fundamental Theorem of
Calculus 1
5.2 (8, 9, 13, 19, 23, 29, 41, 45,
56)
5.3 (3,5,7,14,16,17,19)
5.4 (10, 11, 13)
12/14 (Wed)
No Class
12/19 (Mon)
Review for final
12/21
(wednesday)
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Final
Academic Expectations: Classwork - You are expected to attend class regularly and take notes.
Please note that there are no make-up quiz or exams scheduled. If you miss an exam (does not
apply for quiz), and if you promptly provide me, in writing, a verifiable & acceptable excuse for
your absence, then you are required to retake it. Extraordinary situations (CUNY sponsored
activities, serious health problems, etc.) will be handled on an individual basis but you must
communicate with me ASAP. Please remember that it is your responsibility to initiate the
procedure if you miss graded material. Attendance: If you miss the class you will miss the quiz
because there will be a quiz everyday in the begining of the class. Every Quiz is 15 minutes long.
The main purpose of the quiz is to make you ready for the exam. Assessments: I will assess you
in 4 different ways – Quiz (Do now), Homework, Exams and the Final. There will be no make up
for Quizzes but I will drop lowest 3 quizzes. Grading Policy: There will be 3 class examinations,
a final examination, 23 quizzes and homework. I will collect HW at every class. I already posted
the exam date and it is on Monday December 21. I will drop the lowest grade of one exam, 3
quizzes and one 3 HW. Your class average will be calculated as follows:
Items
Percentage
Homework
(I will collect HW every class)
5%
Quizzes
(Each Quiz in 15 minutes long)
15%
3 Exams
(Full class time)
45%
Final
(Final is 2 hours long)
35%