Calculus AB

Department(s): 
Mathematics
Course Title:   Standard Calculus AB
2 Semesters – 10 Credits – 5 Class Periods per Week
 


Course Description:
Standard Calculus AB is designed to be a college-level first semester calculus course. This course will introduce calculus with elementary functions.
 
 
Course Objectives:
Students will be able to
(Biblical Core of Standard Calculus AB will include the following objectives)
  • To describe the wonders of all that God has made
  • To reveal the invisible attributes of God
  • To demonstrate how the application mathematics can be used to honor God and serve others
  • Analyze functions and their graphs
  • Apply an intuitive approach to determine limits
  • Calculate limits using algebra techniques
  • Understand continuity in terms of limits
  • Define derivative
  • Calculate derivatives of elementary and transcendental functions
  • Understand and apply the concept of derivative in solving optimization and related rate problems, as well as velocity, displacement, and acceleration problems
  • Relate the concept of the Second Derivative to concavity of functions
  • Approximate the definite integral using a Riemann sum or trapezoidal sum
  • Use the Fundamental Theorem of Calculus to integrate polynomial, power, exponential, logarithmic, trigonometric and inverse trigonometric functions
  • Apply definite integrals to solve various physical problems such as finding area of a region, the volume of a solid of revolution, average value of a function, and volume of a solid with known cross sections
  • Use a graphing calculator in correlation with various topics of study.
 
 
 
Textbook:
               Bible
John Saxon and Frank Wang.  Calculus with Trigonometry and Analytic Geometry (second edition).  Norman, OK:  Saxon Publishers, 2002.
 
                Supplementary material from Larson and Hostetler. Calculus  (eighth edition). Boston: Houghton Mifflin Co., 2006
 
 
Required Materials:
                Bible, textbook, graphing calculator (TI-84 or TI-89), writing materials
 
Prerequisites:
                Students must have either earned a grade of not less than a "C" in Honors Trigonometry/Pre-Calculus or not less than “B” in Standard Trigonometry/Pre-Calculus.