Course Syllabus

High School/Mathematics/AP Calculus: 

Teacher:  Mr. Komp

Contact Information:  Phone 262-626-8427 x 4157, email ckomp@ksd.k12.wi.us

Limits of a Function and Continuity

o       Relate graphs of functions and rates of change

o       Identify limits of functions graphically, numerically and analytically

o       Identify and apply conditions for continuity, analyze discontinuities

o       Calculate normal and tangent lines to a curve graphically and analytically

Derivatives

o       Relate functions and their derivatives graphically and numerically

o       Calculate derivatives analytically

o       Relate continuity and differentiability

o       Know and apply basic rules for derivatives

o       Solve problems by applying derivatives

Applications of Derivatives

o       Identify situations requiring the chain rule for derivatives

o       Find derivatives for transcendental functions

o       Relate characteristics of graphs and derivatives of functions including

·        Increasing-decreasing nature

·        Extrema

·        Concavity and inflection

o       Solve optimization and related rates problems

Definite Integrals

o       Approximate areas under the curve numerically

o       Calculate definite integrals geometrically, numerically

o       Interpret and Apply the Fundamental Theorem of Calculus

o       Approximate areas under a curve with the Trapezoidal rule

Antiderivatives

o       Solve differential equations  (Separation of Variables)

o       Apply initial conditions to solving problem situations

o       Construct Antiderivatives graphically (including slope fields) and analytically

o       Integration by substitution

o       Solve exponential growth and decay functions

Applications of Antiderivatives and Differential Equations

o       Interpret integrals as net change to solve problems

o       Find the area between two curves

o       Calculate the volume of solids of revolution

o       Solve work and economics problems

Major Assignments / Requirements:

Pre-course assignment packet

Daily readings and assignments are to be recorded in a course notebook

Frequent Quizzes

Approximately Six Unit Tests, Semester Exam

Special Texts and Materials:

            Course Textbook:  Finney, Demana, Waits, and Kennedy. Calculus: Graphical,

                         Numerical, Algebraic. Pearson Prentice Hall, 2003.

            Calculator – Students must provide a TI-84 calculator