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College of Science, Engineering and Technology


NSU - Norfolk State University
 
MTH 184 : Syllabus
   
 

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 :

  1. prepare for each lecture by reading the appropriate topic(s).
  2. devote a minimum of 10 hours per week for preparation
  3. attend all lectures and keep a notebook of lecture notes and solved problems
  4. complete and turn in all assignments (if required) on time
Week
Topics
Sections
1
Preliminaries: Lines and Functions
Solving equations, Trigonometric Functions
Exponential and Logarithmic Functions
Transformations of Functions
Preview of Calculus
1.1 ~ 1.6
2
Rates of change and limits, Computation of Limits
One-Sided Limits and Limits at Infinity
2.1 ~ 2.2
2.4
3

Continuity and Its Consequences
Tangent Lines and Velocity

2.5 ~ 2.7

4
The Derivative
The Power Rule
The Product and Quotient Rules
3.1 ~ 3.2
5

The Derivatives as a Rate of change
Derivatives of Trigonometric Functions

3.3~ 3.4
6
The Chain Rule
3.5
7

Implicit differentiation, and Related Rates

3.6 ~ 3.7
8
Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the first Derivative Test
4.1 ~ 4.3
9
Concavity and Curve Sketching
4.4
10

Curve Sketching
Applied Optimization Problems

4.4 ~ 4.5
11
Antiderivatives
4.8
12
Estimating with Finite Sums, Sigma Notation and
Limits of Finite Sums, The Definite Integral
5.1 ~ 5.3
13
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule
5.4 ~ 5.5
14
Substitution and Area between Curves
5.6
15

Substitution and Area between Curves, Review

 
16
FINAL EXAM  
Evaluation: Grading Scale:
  Quizzes 15% A: 90 - 100
  Labs   15% B: 80 - 89
  4 Tests   50% C: 70 - 79
  Final Exam   20% D: 60 - 69
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:

  1. No Make-Ups except in cases of extreme emergencies.
  2. All tests will be announced.
  3. 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.

Primary Methods of Instruction/Methods to Engage Students:

  1. 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.
  2. There will be three hours of lecture and discussion and one hour of intense problem solving (drill session) per week.
  3. Students are required to complete 10 labs online (My Math Lab software assignments.)

 

 
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