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Text: Thomas' Calculus, 11th Edition,
Finney, Weir, Giordano
Addison Wesley Longman
Credit: 4 Hours
Course Description: This is a first course in the essentials of Calculus,
necessary for more advanced study in mathematics and the sciences. The fundamental
The topics include limits, continuity, derivatives and applications, antiderivatives
and the Fundamental Theorem of Calculus. The course integrates some calculus applications
with computer activities.
Course Rationale:
The fundamental notion of rate of change, in all its various guises, is emphasized.
This idea is basic, and should be kept in mind, as one moves from one topic to the
next while the course unfolds. We emphasize graphing, as a way to study the
behavior of functions, and this is facilitated through the use of the derivatives
of the functions under consideration. Much of the applications are directed towards
optimization problems, and these are studied in great detail.
The inverse problem of recovering a function, given its rate of change, leads
to antidifferentiation. This, in turn, steers us to an unexpected connection
between the problem of finding areas (by way of the definite integral) and
differentiation. This connection is afforded by the Fundamental Theorem of
Calculus. The techniques of integration are then applied to shed light on the
solution of several classical problems involving areas, volumes, motion, and,
more generally, accumulation.
Prerequisites: Math 153 or equivalent
Course Requirements: Each student should :
- prepare for each lecture by reading the appropriate topic(s).
- devote a minimum of 10 hours per week for preparation
- attend all lectures and keep a notebook of lecture notes and solved problems
- complete and turn in all assignments (if required) on time
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Week
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Topics
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Sections
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1
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Preliminaries: Lines and Functions
Solving equations, Trigonometric Functions
Exponential and Logarithmic Functions
Transformations of Functions
Preview of Calculus
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1.1 ~ 1.6
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2
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Rates of change and limits, Computation of Limits
One-Sided Limits and Limits at Infinity
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2.1 ~ 2.2
2.4
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3
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Continuity and Its Consequences
Tangent Lines and Velocity
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2.5 ~ 2.7
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4
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The Derivative
The Power Rule
The Product and Quotient Rules
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3.1 ~ 3.2
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5
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The Derivatives as a Rate of change
Derivatives of Trigonometric Functions
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3.3~ 3.4
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6
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The Chain Rule |
3.5
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7
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Implicit differentiation, and Related Rates
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3.6 ~ 3.7
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8
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Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the first Derivative Test
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4.1 ~ 4.3
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9
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Concavity and Curve Sketching |
4.4
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10
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Curve Sketching
Applied Optimization Problems |
4.4 ~ 4.5
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11
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Antiderivatives
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4.8
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12
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Estimating with Finite Sums, Sigma Notation and
Limits of Finite Sums, The Definite Integral
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5.1 ~ 5.3
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13
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The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule
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5.4 ~ 5.5
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14
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Substitution and Area between Curves
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5.6
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15
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Substitution and Area between Curves, Review
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16
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FINAL EXAM |
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| Evaluation: |
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Grading Scale: |
| Quizzes |
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15% |
A: 90 - 100 |
| Labs |
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15% |
B: 80 - 89 |
| 4 Tests |
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50% |
C: 70 - 79 |
| Final Exam |
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20% |
D: 60 - 69 |
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F: Below 60 |
Available Supplements:
Solutions manual can be ordered through the bookstore. The following computer
software are available: My Math Lab, Maple, Mathcad, and Mathematica.
Academic Integrity Policies:
Information regarding academic or academically related misconduct, and disciplinary
procedures and sanctions regarding such misconduct, may be obtained by consulting
the NSU Student Handbook.
Class Policies And Procedures:
- No Make-Ups except in cases of extreme emergencies.
- All tests will be announced.
- Cheating of any kind will not be tolerated and will result
in an automatic grade of "F" for the semester. Further disciplinary actions
may be taken by the university.
Americans With Disabilities Act (ADA) Statement
In accordance with Section 504 of the 1973 Rehabilitation Act and the Americans with
Disabilities Act (ADA) of 1990, if you have a disability or think you have a disability,
contact Supporting Students through Disability Services (SSDS) for information regarding
programs and services to enhance student success.
Location: 2nd floor, Lyman Beecher Brooks Library Room 240
Contact Person: Marian E. Shepherd, Disability Services Coordinator
Phone Number: 757-823-2014
University Assessment Statement
As part of NSU’s commitment to provide the environment and resources needed for success,
students may be required to participate in a number of university-wide assessment activities.
The activities may include tests, surveys, focus groups and interviews, and portfolio reviews.
The primary purpose of the assessment activities is the determine the extent to which the university’s
programs and services maintain a high level of quality and meet the needs of students. Students will not
be identified in the analysis of results. Unless indicated otherwise by the instructor, results from university
assessment activities will not be computed in student
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Primary Methods of Instruction/Methods to Engage Students:
- Students will be required to complete an exercise or to engage
in a discussion related to the topic(s) covered previously for a period
of five minutes at the beginning of each lecture.
- There will be three hours of lecture and discussion and one hour of
intense problem solving (drill session) per week.
- Students are required to complete 10 labs online (My Math Lab software assignments.)
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