Introductory Calculus
Mon, Tues and Thurs evenings: 7:00-8:00 PM (Central)
Course Objectives: To provide the student with...
1. A review of the behavior and properties of elementary functions of a single variable.
2. An intuitive and formal understanding of the concept of the limit of a function.
3. An intuitive understanding of the derivative as instantaneous rate of change.
4. Ability to apply the derivative to determine slope of a tangent line and instantaneous velocity.
5. An understanding of the relationship between the graph of a function and its derivative functions.
6. Skill in applying the rules of differentiation for polynomials, products, quotients, and composite functions.
7. Skill in applying the derivative to solve maxima and minima problems and problems of related rates.
8. Skill in applying the rules of differentiation for trigonometric, exponential and logarithmic functions.
9. An introduction to the concept of antidifferentiation (if time)
Topics Covered:
Limits Continuity
Derivative at a point Derivative function
Second and higher derivatives Differentiability
Formula for derivatives Average and instantaneous velocity
Chain rule Implicit differentiation
Tangent and normal lines Maxima and minima
First and second derivative tests Applied optimization problems
Related rates Exponential and Logarithmic Functions
Calculator--- The TI-84 or TI-89 is suggested for this course.
Grading Policy: While credit is not actually earned for the course, there will be a number of assessments throughout the course to confirm your understanding. Grades will be assigned based on a typical college grading scale.
A : 90-100
B+: 87-89
B : 80-86
C+: 77-79
C : 70-76
D : 60-69
F : Below 60