I
I. Course Number and Title:
MAC 2312 – Calculus II
II. Prerequisites for the Course:
MAC 2311 with a minimum grade of C or equivalent.
III. General Course Information:
A continuation of MAC 2311, topics in this course include: the definition of definite integral and applications such as area between curves, volumes and work; techniques of integration such as integration by parts, substitution; more advanced applications of integration such as first-order differential equations, arc length, area of a surface and applications in biology and economics; infinite sequences and series. This course will emphasize conceptual understanding and modeling of physical phenomena, and will use computer technology as an aid to the modeling process. The TI-83 graphing calculator will be an integral part of this course and is required.
IV. Requirements for the Students:
The student should read all new topics before they are discussed in class and complete the homework assignments on time. The professor will devote a portion of classroom activities to the solution of any “troublesome” exercises. The student is expected to spend between 6 and 9 hours per week on reading the text, reviewing and/or rewriting notes, solving problems - in general, STUDYING! Calculators and computers may be used to solve problems.
Students are strongly encouraged to participate in classroom discussions and to be prepared to demonstrate the solutions to assigned homework problems to the class.
V. Absence Policy:
Students are expected to attend all class periods. There are no “allowable cuts”. Students should recognize the very important sequential nature of this course, and that each absence tends to create a learning gap which can be very difficult to bridge. An absence in a four-hour course that meets twice a week can have a disastrous effect on the student’s progress and understanding in the course
VI. Grading Procedure:
A. Grading Criteria:
Chapter Exams (4@ 100 pts) 400
Homework (4 @ 25 pts) 100
500
B. Percentage Ranges for Letter Grades
93 - 100 = A
90 - 92 = A-
87 - 89 = B+
80 - 86 = B
77 - 79 = B-
74 - 76 = C+
67 - 73 = C
64 - 66 = C-
60 - 63 = D
0 - 59 = F
C. Incompletes (I):
Incompletes will be given only for extreme emergency conditions and must be approved by the professor before the final examination begins. The student must be doing passing work at the time the request is made, and must reasonably expect to complete the work within three weeks after the close of the semester.
D. Course Work:
All homework must be submitted on date due. Homework submitted after that date will not be accepted. If you are unable to attend class, you may fax your homework to the number at the top of the syllabus.
E. Make-Up Exam:
Make-up exams will be EXTREMELY DIFFICULT! They are to be avoided whenever possible.
F. Special Needs:
Students with special needs must make them known to the professor at the beginning of the semester.
VII. Textbook Requirements:
Calculus, Early Vectors, by James Stewart, Thomson ISBN: 0-534-49348-3.
TI-83 graphing calculator.
[pic]
SCHEDULE[1]
1 5/8 Chapter 6.1 – Sigma Notation
Chapter 6.2 – Area
5/10 Chapter 6.3 – The Definite Integral
Chapter 6.4 – The Fundamental Theorem of Calculus
5/12 Chapter 6.5 – The Substitution Rule;
Chapter 6.6 – The Logarithm Defined as an Integral
2 5/15 Review
5/17 Review
5/19 Test 1 (Chapter 6)
3 5/22 Chapter 8.1 – Integration by Parts
Chapter 8.2 – Trigonometric Integrals
5/24 Chapter 8.3 – Trigonometric Substitution
Chapter 8.4 – Integration of Rational Functions by Partial Fractions
5/26 Chapter 8.5 – Rationalizing Substitutions
4 5/29 No class – Memorial Day 5/31 Chapter 8.6 – Strategy for Integration
Chapter 8.8 – Approximate Integration
6/2 Chapter 8.9 – Improper Integration
5 6/5 Review
6/7 Review
6/9 Test 2 (Chapter 8)
6 6/12 Chapter 9.1 – Differential Equations
Chapter 9.2 – First-Order Linear Equations
6/14 Chapter 9.3 – Arc Length
Chapter 9.4 – Area of a Surface of Revolution
6/16 Chapter 9.5 – Moments and Centers of Mass
Chapter 9.7 – Applications to Economics and Biology
7 6/19 Review
6/21 Review
6/23 Test 3 (Chapter 9)
6/26 Chapter 10.1 – Sequences
Chapter 10.2 – Series
8 6/28 Chapter 10.3 – The Integral Test and Comparison Tests; Estimating Sums
Chapter 10.4 – Other Convergence Tests
6/30 Chapter 10.5 – Power Series
9 7/3 No class – Independence Day
7/5 Chapter 10.6 – Representation of Functions as Power Series
7/7 Chapter 10.7 – Taylor and Maclaurin Series
Chapter 10.8 – The Binomial Series
10 7/10 Review
7/12 Review
7/14 Final Exam
ASSIGNMENTS:
Discussion Hand In
Problem Set 1
1. 1-35 odd, 41, 43, 45 18, 34, 46
2. 1-9 odd, 13-18 odd 16
3. 1-71 eoo [2] 28, 48
4. 1-79 eoo, 67, 69, 71, 77, 79, 85 38, 48, 76
5. 1-73 eoo 24, 44, 68
Problem Set 2
1. 1-45 odd 12, 30, 34
2. 1-43 odd 14, 26, 40
3. 1-29 odd 12, 20, 32
4. 1-53 odd 12, 24, 50
5. 1-29 odd 8, 14, 24
6. 1-79 odd 16, 24, 36
8. 1-15 odd 6
9. 1-43 odd, 49, 53, 57 12, 22, 38
Problem Set 3
1. 1-15 odd, 23, 25, 29, 33, 35, 41 6, 14, 30
2. 1-25 odd, 31 8, 12, 26
3. 1-13 odd, 21, 23 8, 14
4. 1-13 odd, 23 8, 14, 20
5. 1-27 odd 14, 20
7. 1-17 odd 14, 18
Problem Set 4
1. 1-45 odd 12, 22, 36
2. 1-43 odd, 47, 49, 53 18, 24, 34, 42
3. 1-21 odd 12, 22
4. 1-7 odd, 11-31 odd 8, 14, 26
5. 1-17 odd 10, 16
6. 1-25 odd 8, 22, 24
7. 1-49 eeo 12, 20, 38
8. 1-9 odd 6, 8, 14
-----------------------
[1] Subject to change
[2] Every other odd
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