\( \newcommand{\sech}{\operatorname{sech}} \) \( \newcommand{\inverse}[1]{#1^\leftarrow} \) \( \newcommand{\<}{\langle} \) \( \newcommand{\>}{\rangle} \) \( \newcommand{\vect}{\mathbf} \) \( \newcommand{\veci}{\mathbf{\hat ı}} \) \( \newcommand{\vecj}{\mathbf{\hat ȷ}} \) \( \newcommand{\veck}{\mathbf{\hat k}} \) \( \newcommand{\curl}{\operatorname{curl}\,} \) \( \newcommand{\dv}{\operatorname{div}\,} \) \( \newcommand{\detThree}[9]{ \operatorname{det}\left( \begin{array}{c c c} #1 & #2 & #3 \\ #4 & #5 & #6 \\ #7 & #8 & #9 \end{array} \right) } \) \( \newcommand{\detTwo}[4]{ \operatorname{det}\left( \begin{array}{c c} #1 & #2 \\ #3 & #4 \end{array} \right) } \)

MA 125 Final Exam Outline


Calculus I - 2018 Spring

The final exam will be multiple choice and based upon some of the following objectives from your MyLabMath Study Plan. (Not all objectives will be used.)

  • 1.3 Trigonometric Functions
    • Evaluate trigonometric functions using the addition formulas for sine and cosine.
  • 1.5 Exponential Functions
    • Apply the laws of exponents.
  • 1.6 Inverse Functions and Logarithms
    • Solve logarithmic and exponential equations.
  • 2.2 Limit of a Function and Limit Laws
    • Find the limit of algebraic functions.
  • 2.4 One-Sided Limits
    • Find one-sided limits algebraically.
  • 2.5 Continuity
    • Find values that make a function continuous.
  • 2.6: Limits Involving Infinity; Asymptotes of Graphs
    • Find limits as x approaches infinity or negative infinity.
  • 3.3 Differentiation Rules
    • Find the first derivative of a function.
  • 3.4 The Derivative as a Rate of Change
    • Find an object’s displacement, velocity, and acceleration.
  • 3.5 Derivatives of Trigonometric Functions
    • Find derivatives of trigonometric functions.
  • 3.6 The Chain Rule
    • Use the Chain Rule to find first derivatives.
  • 3.7 Implicit Differentiation
    • Use implicit differentiation to find first derivatives.
  • 3.8 Derivatives of Inverse Functions and Logarithms
    • Use logarithmic differentiation.
  • 3.9 Inverse Trigonometric Functions
    • Find derivatives of inverse trigonometric functions.
  • 3.10 Related Rates
    • Solve applications involving related rates.
  • 3.11 Linearization and Differentials
    • Find the linearization of a function.
  • For sections 4.1-5.4, any objective from the Study Plan may be used (but not all will be used).