The course will begin with a thorough review of functions, including topics such as:

• Domain and Range
• Rational Functions
• How to find Vertical, Horizontal, Oblique asymptotes
• Review of Trigonometry and Trig Functions
• Composite functions 
• Exponential and Logarithmic Functions

Next, limits will be introduced and discussed. Limits are a fundamental concept of calculus. Topics covered are:

• Definition of the Limit
• One Sided Limits (Left & Right handed limits)
• Limit Laws & Rules
• Techniques to Evaluate Limits
• Indeterminate Forms
• Infinite Limits
• Limits at Infinity
• Continuity

Derivatives are a major concept of calculus which build the foundation for future topics. Concepts covered in this section are:

• Definition of the derivative
• Derivative Rules
• Power Rule
• Product Rule
• Quotient Rule
• Derivative of Trig Functions
• Chain Rule
• Implicit Differentiation

This section discusses the several applications of derivatives and how we can use derivatives to solve problems. Topics covered are:

• Critical Points and how to find them
• Maxima & Minima and how to find them
• Global & Local Maxima/Minima
• Mean Value Theorem
• L’Hopital’s rule and how to apply it

This section will introduce the concept of integrals and discuss how to work with them. Topics covered are:

• Antiderivatives
• Indefinite Integrals 
• Integrals Rules and Properties
• Evaluating simple integrals
• Integral Power Rule
• The Definite Integral
• Fundamental Theorem of Calculus
• Finding the Area between Curves