Chapter 5.
• Exponential Functions
• Laws of exponents
• Properties of exponential function
• Definition of logarithms
• Laws of Logarithms
• Logarithmic functions and their graphs
• Properties of the Logarithmic function
• Properties relating the exponential and logarithmic functions
• Differentiation of exponential functions
• Need to be able to apply chain rule to exponential functions
• Differentiation of logarithmic functions
• Need to be able to apply chain rule to logarithmic functions
• Logarithmic differentiation
Chapter 12
• Measurement of angles
• degrees and radians
• Trigonometric functions and their graphs
• Values of sine, cosine, and tangent for common angles
• Basic trigonometric identities
• Differentiation of trigonometric functions
• Including the generalized rules
• Integration of trigonometric functions
Chapter 6
• Indefinite integrals
• Basic integration rules
• constants
• power rule
• multiple of function
• sum rule
• exponentials
• integral of x^(-1)
• Initial value problems
• Integration by substitution
• Areas and the definite integral
• Riemann sum
• Fundamental theorem of calculus
• Finding areas under curves
• Properties of the definite integral
• Average value of a function
• Areas between two curves
• Volumes of solids of revolution
Chapter 7
• Integration by parts
• Numerical integration
• Trapezoidal rule
• Simpson's rule
• Improper integrals
Chapter 8
• Functions of several variables
• Graphs in 3d
cartesian coordinate system
• Level curves
• Partial derivatives
• first and second order derivatives
• Maxima and minima for functions of several variables
• Finding critical points
• Using the second derivative test
• Least squares method for finding the best fit line through data
• Constrained maxima and minima (Lagrange multipliers method )
• Total differentials
• Error analysis
• Double integrals
• Average value of a function of two variables
Chapter 11
• Taylor polynomials to approximate functions
• Errors in the Taylor polynomial approximations
• Infinite sequences
• Graphing
• Finding limits as 
• Limit properties of sequences
• Infinite series
• Finding the sum using the limit of the sequence of the partial sums
• Telescoping series
• Geometric series
• Properties of infinite series
Things that you will forget to study
• Basic rules of differentiation
• Product and quotient rule
• Chain rule
• Finding maxima and minima of functions of one variable
• Finding inflection points of a function
• Basic trigonometric identities
• Improper Integrals
