**Course
Syllabus Fall 2005 **

**Course Title:** Calculus I

**Hours Credit:** 4 hours

**Prerequisites:** MATH 1112 or MATH 1113 or equivalent

**Instructor**: Varies (multiple sections)

**Instructor Office Hours**: Varies (at least 10hrs/week)

**Course Description:** The first of a three-course sequence
in calculus. Limits, applications of derivatives to problems in geometry and
the sciences (physical and behavioral). Problems which lead to antiderivatives.

**Topics:** Limits, Continuity, Tangents and Velocity as Rates of Change,
Differentiation Rules (including the Power Rule, Product Rule, Quotient Rule,
and Chain Rule), Differentiation of Trigonometric Functions, Implicit
Differentiation, Higher Derivatives, Derivatives of Logarithmic Functions,
Hyperbolic Functions, Related Rate Problems, Maximum-Minimum Problems, The Mean
Value Theorem, L'Hospital's Rule and Indeterminate Forms, Curve Sketching,
Newton's Method, Antiderivatives, Definite Integrals, the Fundamental Theorem
of Calculus, and Integration by Substitution

**Text:** * Single Variable Calculus, Early Transcendentals Vol. 1,* by James Stewart,
Fifth Edition, Brooks/Cole Publishing Company, 2005

**Learning Outcomes:**

- The student will be able to compute limits
- The student will be able to compute derivatives of polynomial, rational, exponential, logarithmic, and trigonometric functions
- The student will be able to apply calculus to related rate, maximum-minimum, and curve sketching problems
- The student will understand the definition of the indefinite and definite integral
- The student will understand and be able to apply the Fundamental Theorem of Calculus
- The student will be able to compute definite integrals using the techniques of integration by inspection and integration by substitution .

**Grading Methods:** Tests, Quizzes, Final Exam, Homework; Percentages to
be determined by the instructor

- A= 90-100%
- B= 80-90%
- C= 70-80%
- D= 60-70%
- F= below 60%