FINALEXAM

=Course Final Examination=

As a summative assessment at the end of the course, all students will take the final examination. This will assess their abilities and skills developed over the course, and will primarily focus on fluency with differentiation, integration, and the applications of the main concepts presented in the course. It is designed with the goal of "fluency" in mind, and therefore many of the more abstract or extreme (i.e., "harder") concepts or problems will not be included. Even so, it is advisable for all students to study their previous examinations, homeworks, and notes in advance of taking it. Given the time constraints in class (i.e., we only have ~70 minutes of class time), it is also important for students to carefully assess which questions are worth spending their time on so as to achieve the highest marks.

**Topics covered on the Final Exam will include:**
 * Using the graph of a function to find/evaluate: function values, limits of functions, points of discontinuity, intervals of continuity, intervals of differentiability, points of non-differentiability, absolute and relative extrema, points where the first derivative is equal to zero, points where the second derivative is equal to zero, intervals over which the function is increasing/decreasing or is concave up/down, definite integrals for, horizontal and vertical asymptotes.
 * Finding the first and second derivatives of equations and functions by applying all known differentiation rules (including implicit differentiation) (see Chapter 3).
 * Finding the indefinite integrals of expressions using all known integration rules (including u-substitution) (see Chapter 5).
 * Finding all critical values, extrema, points of inflection and intervals of concavity by analytical (i.e., algebraic) means (see Chapter 4).
 * Evaluating limits at specific values and at infinity by analytical (i.e., algebraic) means (see Chapter 2 and Chapter 4).
 * Evaluating definite integrals by analytical (i.e., algebraic) means (see Chapter 5).
 * Using differentiation and integration techniques to solve for and interpret position, velocity, and acceleration of moving objects.
 * Using differentiation techniques to set up and solve instantaneous rates of change problems (see Chapter 3).
 * Using differentiation techniques to set up and solve optimization problems (see Chapter 4).


 * Descriptive statistics regarding student performance on the Final Examination:**

(//n// = 11)


 * Final Exam:** //150 points//
 * **Mean:** //103 points//
 * **Median:** //109 points//
 * **Mode:** //n/a//
 * **Standard Deviation:** //21 points//