Math 152 Exam Notes
Office Hours:I will be in my office (359/201)
from 10:0012:00 on the following days for extra help:
Mon Apr 12, Tue Apr 13,
Thu Apr 15, and Fri Apr 16
Exam Outline:
The exam will consist of approximately 12 questions,
one question per page, some with multiple parts. You
will be given the standard formula sheet, and you may use a
basic scientific (nongraphing/nonprgrammable)
calculator. You can expect
 one page on basic function theory including
inverse functions and the basic properties of
exponential and logarithmic functions. You should be
able to
 compute function compositions and determine
the domain.
 find a formula and sketch the graph of
f^{1}(x) given f(x).
 simplify expressions using the laws of
exponents and logarithms.
 compute logarithms using the change of base
formula.
 one page of exponential and logarithmic
equations.
 one page of applications of exponential and
logarithmic functions. Applications include
 Population growth,
 Exponential decay (radioactive decay and
radiocarbon dating), and
 Newton's law of cooling and heating.
 one or two pages of circle trigonometry
problems
 one page on sketching a transformed trigonometric
function.
 one page of trigonometric equations.
 one page of solving triangles, including problems
requiring the law of sines or cosines.
 one page of trigonometry applications (word
problems).
 one page of matrix algebra, including matrix
inverses.
 one page on solving systems of equations by
matrix reduction.
 one page on the theory of arithmetic and
geometric sequences and series.
 one page of applications (word problems)
involving arithmetic and geometric series, possibly
including a compound interest problem.
Extra Practice:
Here are some exams from past years. The format is
somewhat different from that described above, but the
problems are all good practice:
 Practice Final
Exam (solutions)
 Spring 2009
Final Exam (solutions)
 Spring 2008
Final Exam (solutions).
Omit 4(c), and note that the solutions use a method
of matrix reduction which differs slightly from the
one we covered.
 Spring 2007
Final Exam (solutions).
Omit 1(a), (b), (c), (d), 2 and 7(a). Note that the
solutions use a method of matrix reduction which
differs slightly from the one we covered.
 Spring 2006
Final Exam (solutions).
Note that the solutions use a method of matrix
reduction which differs slightly from the one we
covered.
 Some harder practice problems
(solutions: shorter
problems  longer problems) Omit
question of the Shorter Problems, 16(b) and
17(b) of the Longer Problems.
