This course is intended for students who have a thorough knowledge of analytic geometry and elementary functions in addition to college preparatory algebra, geometry, and trigonometry. The purpose of the course is to understand the student for advanced placement in calculus. This course is a rigorous treatment of the topics of elementary calculus. Algebraic, trigonometric, exponential, and logarithmic functions will be studied, with emphasis on their properties and limits. Differential calculus will be studied and will include defining the derivative, taking the derivatives of functions, and applying the derivative to related rates problems and maxima minima problems.
The aims of this course are:
- To introduce the calculus and prepare the student for the Advanced Placement Calculus.
- To make the students understand the historical background and problems that lead to developments of calculus.
- To apply fundamental theorems and rules from calculus to solve symbolic and graphical problems.
- To develop logical thinking skills
- To learn problem solving techniques (not memorization).
- To solve calculus problems that model real world situations and recover their solutions.
