Topic A: Limits and Continuity

• Concept 1: Techniques for evaluating limits
• Concept 2: Left and Right hand limits
• Concept 3: Limits involving Infinity
• Concept 4: Continuity
• Concept 5: Asymptotes and holes
• Concept 6: Limits involving trigonometric and exponential functions
• Concept 7: The limit definition of the derivative

Topic B: Derivatives

• Concept 1: The power rule involving algebraic functions
• Concept 2: The product rule involving algebraic functions
• Concept 3: The quotient rule involving algebraic functions
• Concept 4: Chain rule with algebraic functions
• Concept 5: Derivatives involving trigonometric functions
• Concept 6: Derivatives involving exponential and logarithmic functions
• Concept 7: Higher order derivatives
• Concept 8: Implicit differentiation
• Concept 9: Derivatives Involving Inverse Trigonometric Functions

Topic C: Applications with derivatives

• Concept 1: Slope, tangents and normals
• Concept 2: Critical points and relative extrema
• Concept 3: Concavity and points of inflection
• Concept 4: Graph analysis
• Concept 5: Absolute extrema
• Concept 6: Related rates
• Concept 7: Maximum and Minimum Word Problems
• Concept 8: The Mean Value Theorem and Rolle's Theorem
• Concept 9: Motion Along a Straight Line
• Concept 10: L'Hopital's Rule for the (0/0) Type

Topic D: Integral Calculus

• Concept 1: Antiderivatives ( The Indefinite Integral)
• Concept 2: Integration by Substitution
• Concept 3: The Fundamental Theorem of Integral Calculus
• Concept 4: Integration by Parts
• Concept 7: Area of a Bounded Region
• Concept 5: Geometric area and an introduction to the integral symbol
• Concept 6: Rectangular Approximations and Trapezoidal Rule