Math 1551-04 Fall 2008

Teacher information

Name:
Bogdan Oporowski
Office:
352 Lockett Hall
Phone:
225.578.1579
Email:
bogdan@math.lsu.edu
Office Hours:
MWF 1:40–2:30 and by appointment

Course Information

Course:
MATH 1551 Honors Analytic Geometry and Calculus I, Section 4
Class Time:
M–F 2:40–3:30
Class Location:
134 Allen Hall
Book:
Calculus (Early Transcendentals) by Jon Rogawski (required)
Attendance:
Attendance is mandatory. Only documented university-approved absences, as listed in LSU PS-22, will be accepted as the basis of make-up quizzes and tests.
Calculators:
Students should bring to class scientific calculators. Graphing calculators will not be allowed on quizzes, tests, and the final exam.

Grading

The grade will be determined by the number of points accumulated through quizzes, tests, and the final exam. The usual 90%, 80%, 70%, 60% grading scale will be used. Partial credit will be given, but only for the parts of the solution that lead to the correct answer. All work must be shown in writing; unsubstantiated answers and parts of the solutions will receive no credit. All scores will be posted on PAWS Semester Book as soon as they become available.

Homework:
Homework will be assigned after each section is covered. However, homework will not be collected. Instead, homework will be credited through quizzes, which will contain only the problems assigned as homework.
Quizzes:
There is going to be a number of short quizzes. Two lowest quiz scores will be dropped, and the remaining quiz scores will be scaled so that the total number of points available through quizzes is 100. Quizzes will not be announced ahead of time, and may be given at any time during the class. Only the problems assigned as homework will appear on the quizzes.
Tests:
There will be 3 tests, each of which will provide the maximum of 100 points. Test dates of the tests will be announced in advance. About a third of the test problems will come from the assigned homework, and another third from the problems in the book not officially assigned as homework.
Final Exam:
Final Exam will be given on Friday, December 12, from 5:30pm to 7:30pm, in 134 Allen Hall. The exam will be comprehensive, and offer the maximum of 200 points. The composition of the problems on the final exam will be like that of the tests.

Assigned Exercises

The homework exercises will be posted as we progress through the course.

Chapter 1

Read it!

Chapter 2

Section 2.1
Limits, rates of change and tangent lines: 1, 5–15 odd, 20, 23, 29
Section 2.2
Limits: A Numerical and Graphical Approach: 3–7 odd, 8, 11–21 odd, 27–31 odd, 41, 43, 47, 49
Section 2.3
Basic Limit Laws: 5, 9, 13, 17, 21
Section 2.4
Limits and Continuity: 1, 3, 11, 15, 19, 21, 27, 29, 37, 39, 43, 47, 52, 55, 63, 69, 79, 81, 83
Section 2.5
Evaluating Limits Algebraically: 3, 7, 11, 15, 19, 23–31 odd, 39, 41, 45, 49
Section 2.6
Trigonometric Limits: 5–17 odd, 23, 25, 29, 31, 35, 37, 39, 42
Section 2.7
Intermediate Value Theorem: 1, 3, 7, 11, 15, 17, 19
Section 2.8
The Formal Definition of a Limit: 1, 3, 5, 11, 13, 19

Chapter 3

Section 3.1
Definition of the Derivative: 3, 5, 11–14, 27–39 odd, 53, 55, 57
Section 3.2
Derivative as a Function: 1–55 odd, 65, 71
Section 3.3
Product and Quotient Rules: 3–11 odd, 15, 21–35 odd
Section 3.4
Rates of Change: 3, 5, 9, 13, 17, 21, 29, 33, 37
Section 3.5
Higher Derivatives: 5, 9, 11, 17–27 odd, 33, 35
Section 3.6
Trigonometric Derivatives: 1–21 odd, 27–43 odd
Section 3.7
The Chain Rule: 1,3,5, 9–19 odd, 27, 31, 33, 39, 45, 53, 59, 67, 83, 85, 91
Section 3.8
Implicit Differentiation: 9–33 odd, 37
Section 3.9
Derivatives of Inverse Functions: 3–15 odd, 19, 21, 23, 27, 31, 39
Section 3.10
Derivatives of General Exponential and Logarithmic Functions: 5, 9, 13, 19, 21, 25–33 odd, 43, 45, 47, 55–63 odd, 71–77 odd
Section 3.11
Related Rates: 3–9 odd, 12–15 all, 17, 19–23 all, 25, 29

Chapter 4

Section 4.1
Linear Approximation and Applications: 9–21 odd, 27, 31, 33, 41, 43, 45, 53, 55, 57
Section 4.2
Extreme Values: 1–11 odd, 15, 19, 25, 31, 35–47 odd, 53, 55, 65, 69
Section 4.3
The Mean Value Theorem and Monotonicity: 5, 7, 9, 13–25 odd, 29, 33–49 odd, 53, 54
Section 4.4
The Shape of a Graph: 4, 5, 6, 9–17 odd, 25, 27, 29, 33, 37, 41, 45
Section 4.5
Graph Sketching and Asymptotes: 3, 5, 9, 15, 19, 23, 27, 31, 33, 43, 45, 55, 59, 63–73 odd, 81, 85, 89
Section 4.6
Applied Optimization: 5, 9, 11, 15–21 odd, 33, 39, 44, 59
Section 4.7
L’Hôpital’s Rule: 5, 7, 9, 15, 21–37 odd, 49, 51
Section 4.8
Newton’s Method: 3–13 odd
Section 4.9
Antiderivatives: 15, 19, 23–49 odd, 63, 65, 67

Chapter 5

Section 5.1
Approximating and Computing Area: 11–21 odd, 27, 35, 37, 41, 43, 45, 57, 59, 61, 65, 69, 73, 75
Section 5.2
The Definite Integral: 3–11 odd, 17, 19, 27, 31, 33, 35
Section 5.3
The Fundamental Theorem of Calculus, Part I: 7, 11, 15, 19, 23, 29, 31, 33, 37, 41, 43, 45, 49, 51, 57
Section 5.4
The Fundamental Theorem of Calculus, Part II: 3–25 odd, 29, 33, 35, 37, 38
Section 5.5
Net or Total Change as the Integral of a Rate: 1, 3, 7, 9, 13
Section 5.6
Substitution Method: 9, 11, 13, 14, 16, 17, 19, 21, 27–37 odd, 45–59 odd, 71, 73, 75, 79–89 odd
Section 5.7
Further Transcendental Functions: 5–27 odd, 35, 41, 43, 49, 61, 63
Section 5.8
Exponential Growth and Decay: 5–17 odd, 31, 35, 39, 45, 47

Chapter 6

Section 6.1
Area Between Two Curves: 3, 9, 13–25 odd, 31, 33, 35, 39, 41
Section 6.2
Setting Up Integrals: Volume, Density, Average Value: 3–17 odd, 21, 25, 27, 33, 37, 41, 43, 53
Section 6.3
Volumes of Revolution: 5, 7, 9, 13, 15, 19, 21, 23–35 all, 37, 41, 43, 51
Section 6.4
The Method of Cylindrical Shells: 3–13 odd, 17, 19, 21, 25, 27, 29, 33–44 all
Section 6.5
Work and Energy: 5, 7, 9, 13, 15, 16, 17, 18, 27, 29

Chapter 8

Section 8.1
Arc Length and Surface Area: 3–9 odd, 15, 33, 35
Section 8.2
Fluid Pressure and Force: 2–6 all, 19, 21
Section 8.3
Center of Mass: 3–15 odd, 21, 23, 27, 31, 35