COURSE OUTLINE (Fall 2008)
MAT 201 CALCULUS-I
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Instructor: Simon Ugwuoke |
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Office Location: Graphics Room 4 |
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Phone:546-8543 (O) / (919) 612-6864 (C) |
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E-mail:sugwuoke@shawu.edu |
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Office Hours: MWF: 9:00 AM - 11:00 AM |
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T,Th:9:00 AM - 9:30 AM; 12:00 N - 2:00 PM |
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OR By Appointment |
| Text: Stewart, James – Calculus Concepts & Contexts, Third Edition, Thomson Brooks / Cole, Copyright 2005 |
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Supplemental Technology Resources: Blackboard, TI-92 Graphing Calculator; PcCalculator. |
GENERAL DESCRIPTION
This is the first Calculus course in a sequence of three. This course is intended for all Mathematics, Mathematics Education, Science, Business, and Pre-Engineering majors. The prerequisite is MAT 115 (Pre-Calculus) or the equivalent The course deals with functions and its operations, limits, continuity, derivatives, integrals, and applications of these mathematical techniques to various other areas of discipline and real-life problems.
STUDENT LEARNING OUTCOMES:
After completing this course, the students should be able to do the following:
| Find the domain, range of a given function and find if it is 1-1 onto or neither, find the inverse of a function. (NCDPI 1.4, 3.6) |
| Sketch the graphs of elementary functions, the absolute value functions, step functions, etc. (NCDPI 3.3) |
| Evaluate the one-sided limit and the limit of polynomials, rational functions, trigonometric and exponential functions. (NCDPI 2.8, 3.1 - 6) |
| Evaluate limits involving infinity. |
| Verify if a given function is continuous or not at a given point, in an interval. Approximate roots of polynomials using the properties of continuous functions. Find the derivative of a function by the definition, and by product, quotient Rule. (NCDPI 3.6) |
| Know the relationship between differentiability and continuity of functions. (NCDPI 3.4) |
| Differentiate composite functions, implicit functions. |
| Find the equations of the tangent and normal to a curve by using derivatives. (NCDPI 3.3) |
| Find the rate of change by using derivatives. (NCDPI 3.4) |
| Solve word problems using the techniques of derivatives. (NCDPI 3.5) |
| Solve motion problems involving velocity, acceleration. (NCDPI 3.5). Sketch the graph of a given function by using derivatives to get some properties of the graph. (NCDPI 2.5,3) |
| Find where a function is increasing/decreasing without drawing the graph. |
| Find the maximum or minimum values of a given function. (NCDPI 3.4). Solve word problems using maximum, minimum values of functions. Find anti-derivatives of a given function. |
| Construct some simple mathematical models. |
| Understand the relationship among limits, derivatives and integrals. (NCDPI 3.4) |
| Demonstrate an awareness that the process of integration, eg.1imiting process. (NCDPI 3.4) |
| Evaluate the definite and indefinite integrals o~ functions using substitutions and other techniques. (NCDPI 3.4) |
| Solve motion problems involving velocity, acceleration etc., using integration. (NCDPI 3.5) |
CHAPTERS AND TOPICS:
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Chapter 1: Functions and Models |
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Chapter 2: Limits and Derivatives |
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Chapter 3: Differentiation Rules. |
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Chapter 4: Applications of Derivatives |
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Chapter 5: The Definite Integral-Estimating with Finite Sums; Definite Integrals; Definite Integrals and Antiderivatives; Fundamental Theorems of Calculus; Trapezoid Rule |
GRADING
| Attendance/Participation 10% of the final grade |
| Quiz/Homework 20% of the final grade |
| Tests 40% of the final grade |
| Final Exam 30% of the :final grade |
ATTENDANCE POLICY
More than 4 unexcused absences will result in an "F" in the course. You are responsible for the classes you missed and for the information passed out during your absence.
STUDENT CLASSROOM DECORUM EXPECTATIONS
To enhance the learning atmosphere of the classroom, students are expected to dress and behave in a fashion conducive to learning in the classroom. More specifically, students will refrain from disruptive classroom behavior, e.g. talking to classmates, disrespectful responses to teacher instructions; swearing; wearing clothes that impede academic learning such as but not limited to, wearing body-revealing clothing and excessively baggy pants; hats/caps, and/or headdress. Students will turn off telephones prior to entering the classroom.
Students who exhibit the behaviors described above, or similar behaviors will be immediately dismissed from class at the third documented offense. The student will be readmitted to class only following a decision by the department chair. The student may appeal the decision of the department chair to the Dean of the College offering the course, and, subsequently, to the Office of the Vice President for Academic Affairs, and then to the President of Shaw University. The decision of the President will be final.
Failure to follow the procedures herein outlined will result in termination of the appeal, and revert to the decision of the department chair. Each behavior construed by the teacher/professor as noncontributive to learning will be recorded, properly documented, and appropriately reported to the student and to the chair of the academic department offering the course. The report will be in written form with a copy provided to both the student and the department chair. The faculty member should retain a copy for his/her own records.
Additional student behavior codes may be found in Student Affairs.