MATH 152 - CALC II (CRN: 23179) 4 Units - Spring 2019
Monday & Wednesday 5:30 PM - 7:35 PM (Room 1960)
Instructor: Phong Tran
E-mail: phtran@fullerton.edu
Major topics included in this course are:
(1) Numerical Integration. Analytical and numerical methods of solving differential equations.
●
Applications of Riemann Sums of Definite Integrals: Areas, Volumes, Arc length, Surface areas of revolving arcs, Work,
and Moments.
●
Integration Techniques: Integration by parts, Trigonometric substitution, Partial fractions, and Integration tables.
●
Integration of Early Transcendental Functions: logarithmic function, exponential function, trigonometric function, and
hyperbolic function.
●
Limit of Indeterminate Forms and Improper Integrals: L’Hộpital’s Rule, definition of improper integrals, and improper
integral integrations.
●
Infinite Series: Tests of convergence of infinite series, representation of functions by power series, Taylor Series, and
Maclaurin Series, and applications of representing functions by power series in calculus.
●
Preparations for Multi-variable Calculus: definition and graph of conics, representation of a curve in space by parametric
equations, and representation of location on a (x – y) plane by polar coordinates.
Student Learning Outcome
Upon successful completion of Math 151F, the student will be able to:
Determine various geometric measurements including area of a region between curves, volume of a solid, arc length of a
curve, or area of a surface of revolution by constructing and calculating a definite integral.
Analyze an integral to determine an appropriate method of integration, and apply that method to find the anti-derivative.
Understand different approaches of solving a differential equation.
Analyze an infinite series to determine an appropriate test for convergence, & apply that test to determine whether the
series converges or diverges.
Find a Taylor series approximation to a transcendental function.
Objectives
Learn various integration techniques to find the anti-derivatives of an indefinite integral.
Use Taylor polynomial approximation to find the approximation of the anti-derivatives of an indefinite integral.
Use anti-derivative to find the value of a definite integral.
Learn various numerical integration methods to find the approximation values of a definite integral.
Textbook
Calculus – Single Variable Calculus Early Transcendentals, 8th edition, by James Stewart.
Homework
Selected homework sections will be collected on the day of the exam. NO LATE HOMEWORK. Homework will be graded by
completeness and neatness. All sections must be stapled separately.
Chapter Test
There will be 4 chapter review in-class tests. You must show details of your work in order to get full credits. Most test problems are
similar to sample problems in the textbook and assigned homework problems. There will be no makeup test for missing test. You
can use calculators and graphing calculators but no cell phones, computer or any computing devices that have large storage and/or
can access internet during the test. No use of bathroom during the exam. All cell phones must be off and in your backpack. If
I see cellphone out, automatic zero. Final Exam is given on the last day (May 22nd, 2019) of the class of this semester.
Important Dates
Feb 10th - Last day to add or drop the class without record.
April 28th - Last day to withdraw from the class with a “W”.
Wait-time for late arrival:
In case the instructor does not arrive at the scheduled class starting time, students are required to wait in the classroom for 15 minutes
(unless otherwise notified by Division). After 15 minutes, if no further notification from Division, students are free to leave without penalty for
absence or late homework.
Students Responsibility
You are required to attend the class according to the college attendance policy. If you do not attend the second class meeting or
missing too many classes (4), you will be dropped from this class. However, it is still your responsibility to withdraw by the deadline
to avoid a “W” or an “F” on your transcript. Students who miss classes are responsible to learn the material themselves. Students
are encouraged to read ahead and do some homework problems before the class. Questions related to the lectures are always
welcome during the class. Students are responsible of checking school calendars for the course addition, dropping, graduation, final
exam etc. Students should follow the school rules and policies in disciplines. Students having any question regarding those rules
should ask Division for assistance. Any tests following exactly same logics and patterns as others will be considered cheating. A
student who cheats can expect a zero for that homework or test, failing grade for the semester, reprimand from Division, and record
on the transcript.
Grading Policy
Your final course grade will be determined by your total earned
scores:
Course Scores
Items
Scores
Homework
150
Letter Grade
Percent
4 Review tests
600
A
(> 90%)
1 Final Exam
200
B
(> 75%)
Class Participation
50
C
(> 65%)
TOTAL
1000
D
(> 50%)
Week
Monday
Wednesday
Section
Homework
Section
Homework
1
Intro
3.8
3.8 (#1, 2, 5, 8, 21)
3.11
6.1
3.11 (#1, 4, 23, 29, 51, 55)
6.1 (#4, 8, 18, 24, 27, 42, 50)
2
6.2
6.3
6.2 (#1, 9, 13, 17, 45, 50)
6.3 (#4, 9, 13, 20, 42, 46, 48)
6.4
6.5
6.4 (#1, 3, 9, 18, 23)
6.5 (#2, 7, 10, 17, 20)
3
REVIEW
4
HOLIDAY
5
7.3
7.4
7.3 (#1, 5, 27, 32, 43)
7.4 (#2, 5, 11, 19, 31, 57)
6
7.7
7.8
7.7 (#1, 3, 10, 12, 20, 32, 45)
7.8 (#1, 5, 13, 22, 28, 31, 51, 54)
7
EXAM 2
EXAM 1
7.1
7.2
7.1 (#2, 3, 6, 10, 27, 28, 38, 47, 68)
7.2 (#1, 6, 11, 22, 23, 43, 48, 66)
7.5
7.6
7.5 (#7, 8, 11, 21, 22, 31, 46, 74, 79)
7.6 (#1, 8, 17, 24, 29, 35)
REVIEW
8.1
8.2
8.1 (#5, 11, 25, 33, 41)
8.2 (#3, 7, 12, 17, 36)
8
9.3
9.3 (#1, 7, 11, 16, 21, 29, 41)
10.1
10.1 (#2, 5, 12, 16, 24)
9
10.2
10.3
10.2 (#1, 5, 13, 27, 31, 37, 43, 74)
10.3 (#1, 6, 11, 25, 28, 31, 41, 47, 54)
10.3
10.4
10.4 (#3, 6, 15, 45, 53)
10
10.5
10.5 (#1, 6, 9, 11, 21, 27, 29, 49, 60)
11
EXAM 3
REVIEW
11.1
11.2
11.1 (#2, 5, 14, 30, 47, 53, 62, 71)
11.2 (#1, 8, 9, 18, 28, 36, 43, 52)
12
11.3
11.4
11.3 (#1, 5, 8, 9, 14, 23)
11.4 (#5, 9, 16, 28, 30)
11.5
11.6
11.5 (#3, 9, 14, 19, 23)
11.6 (#3, 5, 10, 17, 28, 34, 35)
13
11.7
11.7 (#8, 11, 24, 32, 35, 38)
11.8
11.9
11.8 (#5, 14, 22, 31)
11.9 (#4, 7, 10, 13, 15, 27)
14
11.10
11.10 (# 3, 9, 22, 34, 35, 40, 51)
15
EXAM 4
16
REVIEW
REVIEW
REVIEW
FINAL EXAM
May 22nd