{slide= MATH 003 (Developmental Mathematics)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 010 (Algebra for MATH 110)|noscroll|closed} Text(s):
Intermediate Algebra Review, a Small Group Approach, by Debra Gray Franklin. Custom Published by Thomson, 2002. ISBN: 0759336245 (Current) (F06)(Sp07)(F07)(Sp08) (F08)(Sp09)(F09) (Sp10) (F10) (Sp11) (F11)
Finite Mathematics , by Waner and Costenoble. Published by Thomson Learning, 2004. ISBN: 111629447 (New Custom Edition - Fall 2010) (Current) (F06)(Sp07)(F07)(Sp08) (F08)(Sp09) (F09) (Sp10)(F10)(Sp11) (F11)
{/slides} {slide= MATH 011 (Algebra for MATH 111)|noscroll|closed} Text(s):
Intermediate Algebra Review, a Small Group Approach, by Debra Gray Franklin. Custom Published by Thomson, 2002. ISBN: 0759336245 (Current) (F06) (Sp07)(F07)(Sp08) (F08)(Sp09) (F09)(Sp 10)(F10)(Sp11) (F11)
Introduction to Probability,by S.T. Tan. Custom Published by CENGAGE Learning. ISBN: 1133397514 (New Custom Edition Fall 2011) (Current) (F06)(Sp07) (F07)(Sp08) (F08)(Sp09)(F09)(Sp10)(F10)(Sp11) (F11)
{/slides} {slide= MATH 013 (Algebra for MATH 113)|noscroll|closed} Text(s):
Intermediate Algebra Review, a Small Group Approach, by Debra Gray Franklin. Custom Published by Thomson, 2002. ISBN: 0759336245 (Current) (F06) (Sp07)(F07) (Sp08) (F08) (Sp09)(F09) (Sp10)(F10)(Sp11) (F11)
College Algebra, by Robert Blitzer. Published by Prentice Hall. ISBN: 05558470114 (New Custom Bundle Set) (Current) (F06)(Sp07)(F07)(Sp08) (F08)(Sp09)(F09)(Sp10)(F10)(Sp11) (F11)
Supplement: Resource Manual, MATH 113, College Algebra with Applications, 3rd Edition, by J. Stone. Published by Kendall Hunt. ISBN: 9780757541582 (F06) (Sp07) (F07) (Sp08) (F08) (Sp09) (F09) (Sp10) (F10) (Sp11)
{/slides} {slide= MATH 015 (Algebra for MATH 115)|noscroll|closed} Text(s):
Intermediate Algebra Review, a Small Group Approach, by Debra Gray Franklin. Custom Published by Thomson, 2002. ISBN: 0759336245 (Current) (F06)(Sp07)(F07)(Sp08) (F08)(Sp09)(F09)(Sp10)(F10)(Sp11) (F11)
Pre-Calculus: Mathematics for Calculus, by J. Stewart, L. Redlin and S. Watson. Published by Brooks/Cole. ISBN: 1133393845 (New Custom Bundle Set Fall 2011) (Current) (F06) (Sp07) (F07)(Sp08) (F08)(Sp09)(F09)(Sp10)(F10) (Sp11) (F11)
{/slides} {slide= MATH 110 (Elementary Mathematical Models)|noscroll|closed} Text(s):
Finite Mathematics -by Waner and Costenoble. Published by Thomson Learning, 2004. ISBN: 111629447 (New Custom Edition - Fall 2010) (Current) (F06)(Sp07) (F07)(Sp08)(Sum08)(F08)(Sp09) (Sum09)(F09)(Sp10)(F10)(Sp11) (F11)
{/slides} {slide= MATH 111 (Introduction to Probability)|noscroll|closed} Text(s):
Introduction to Probability, by S.T. Tan. Custom Published by CENGAGE Learning. ISBN: 0495214442 (F06)(Sp07) (F07)(Sp08) (Sum08) (Sp09) (Sum09)
Introduction to Probability, by S.T. Tan. Custom Published by CENGAGE Learning. ISBN: 1133397514 (New Custom Edition Fall 2011)(Current) (F09) (Sp10) (F10) (Sp11) (F11)
Finite Mathematics Student Solution Manual, by S.T. Tan. Published by CENGAGE Learning. ISBN: 1133363075(New Custom Edition 2011 (Current) (F09)(Sp10)(F10) (Sp11) (F11)
{/slides} {slide= MATH 112 (College Algebra with Applications and Trigonometry)|noscroll|closed} Text(s):
Algebra & Trigonometry, (New Custom Bundle Set Edition) by Robert Blitzer. Published by Prentice Hall. ISBN: 0558216447 (Current) (F06) (F07) (F08)(Sp09)(F09) (Sp10) (F10)(Sp11) (F11)
Supplement: Resource Manual, MATH 113, College Algebra with Applications, 3rd Edition, by J. Stone. Published by Kendall Hunt. ISBN: 9780757541582 (Current) (F06) (F07)(F08)(Sp09)(F09)(Sp10)(F10)(Sp11)
{/slides}{slide= MATH 113 (College Algebra with Applications)|noscroll|closed} Text(s): College Algebra, 4th Edition, by Robert Blitzer. Published by Prentice Hall. ISBN: 978-0536502094(Bundle Set) (F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) College Algebra,by Robert Blitzer. Published by Prentice Hall. ISBN: 0558470114 (New Custom Bundle Set Edition)( Current) (F09)(Sp10) (F10)(Sp11) (F11) Supplement: Resource Manual, MATH 113, College Algebra with Applications, 3rd Edition, by J. Stone. Published by Kendall Hunt. ISBN: 9780757541582(F06) (Sp07)(F07)(Sp08) (Sum08)(F08)(Sp09) (Sum09)(F09)(Sp10) (F10) (Sp11) {/slides} {slide= MATH 115 (Pre-Calculus)|noscroll|closed}
Description: MATH 115 is a preparation for Calculus, either MATH 220 (for which Math 113 is an alternate prerequisite) or MATH 140, with a focus on functions and graphs and algebraic techniques preparatory to calculus. The functions studied include polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions.
Prerequisites: Satisfactory score on Math Department placement exam, completion of the appropriate module of MATH 003, or completion of Math 113.
Textbook: Pre-Calculus: Mathematics for Calculus, by J. Stewart, L. Redlin and S. Watson. Published by Brooks/Cole. ISBN: 1133393845
Topics:
Algebra
Inequalities
Absolute value inequalities
Table of signs for polynomial and rational inequalities
Functions
Domain
Operations including compositions
Inverses
Graphs
Symmetry
Transformations: Shifts, reflections, stretching and shrinking
Quadratic functions and equations
Applications involving quadratic equations
Parabolas
Extreme value problems
Quadratic related equations including radical equations
Polynomials
Shape of graph
Writing polynomial functions with specific properties
Using a graphing calculator to draw complete graphs
Rational functions
Finding intercepts and asymptotes
Graphing with and without calculator
Conic sections
Standard equations for parabolas, circles, ellipses, and hyperbolas, shifts of conic sections
(if time allows)
Exponential and Logarithmic functions
Definition
Graphs
Exponent rules
Laws of logarithms
Exponential and logarithmic equations
Exponential growth and decay
Trigonometry
Angles
Radian and degree measurement of angles
Arc length and angular speed
Trigonometric functions
Circle, point, and right-triangle definitions of functions
Graphs of trig functions
Sinusoidal graphs
Solving triangles
Right triangles
Law of Cosines
Law of Sines
Trigonometric identities
Reciprocal identities
Pythagorean identities
Negative-angle identities
Periodicity identities
Sine and cosine addition and subtraction identities
Double-angle identities
Power-reducing identities
Trigonometric equations
Finding algebraic solutions
Finding calculator solutions
(A graphing calculator such as the TI- 83, is required for Math 115. It is used in exploring the graphs of functions and equations and in solving problems.
{/slides} {slide= MATH 130 (Calculus for Life Sciences I)|noscroll|closed}
WEBSITE: Pilachowski's Spring 2012 Class
TEXTBOOKS: Calculus with Applications for the Life Sciences, by R. Greenwell, N. Ritchey, M. Lial. Published by Addison Wesley. ISBN: 0201745828
Solutions Manual for Calculus for the Life Sciences - (OPTIONAL) by R. Greenwell, N. Ritchey, M. Lial. Published by Addison Wesley. ISBN: 0201770172
DESCRIPTION: This is a first-semester course in calculus with applications in biology and life-sciences.
PREREQUISITES: A grade of C or better in MATH 112, MATH113, or MATH115; or permission of department based on 3 1/2 years of college preparatory mathematics (including trigonometry) and satisfactory performance on the MATHEMATICS PLACEMENT EXAM
TOPICS
Exponential and Logarithmic Functions and Applications (Growth and Decay)
Trigonometric Functions
Limits, Continuity and Rates of Change
Definition of the Derivative
Techniques for Finding Derivatives, Derivatives of Products and Quotients
The Chain Rule
Derivatives of Exponential, Logarithmic and Trigonometric Functions
Increasing and Decreasing Functions
Relative Extrema
Higher Derivatives and Concavity
Curve Sketching
Absolute Extrema and Applications of Extrema
Implicit Differentiation
Related Rates
Anti-derivatives
Substitutions
Area and Definite Integral
Fundamental Theorem of Calculus
Integrals of Trigonometric Functions
{/slides} {slide= MATH 131 (Calculus for Life Sciences II)|noscroll|closed} Text(s):
Calculus with Applications for the Life Sciences, by R. Greenwell, N. Ritchey, M. Lial. Published by Addison Wesley. ISBN: 0201745828 (Current) (Sp09)(F09) (Sp10)(F10)(Sp11) (F11)
Solutions Manual for Calculus for the Life Sciences - (OPTIONAL) by R. Greenwell, N. Ritchey, M. Lial. Published by Addison Wesley. ISBN: 0201770172 (Current) (Sp09)(F09) (Sp10)(F10)(Sp11) (F11)
Modeling the Dynamics of Life, by Frederick R. Adler. Published by CENGAGE Learning. ISBN: 0534404863 (F08) (Sp09)
{/slides} {slide= MATH 140 (Calculus I)|noscroll|closed} Text(s):
Calculus, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-1-1-3343675-1 (New Custom Edition Fall 2011) (Current) (F11)
Calculus Student Solutions Manual, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-0-7-5933177-8 (OPTIONAL) (Current)
(F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) (F09) (Sp10)(F10)(Sp11) (F11)
Calculus, 6th Edition, by R. Ellis and D. Gulick. Published by Thomson Learning. ISBN: 978-0-7-5931379-8(F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) (F09) (Sp10)(F10)(Sp11)
{/slides} {slide= MATH 140H (Calculus I Honors)|noscroll|closed} Text(s):
Calculus, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-1-1-3343675-1 (New Custom Edition Fall 2011) (Current) (F11)
Calculus Student Solutions Manual, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-0-7-5933177-8 (OPTIONAL) (Current)
(F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) (F09) (Sp10)(F10)(Sp11) (F11)
Calculus, 6th Edition, by R. Ellis and D. Gulick. Published by Thomson Learning. ISBN: 978-0-7-5931379-8(F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) (F09) (Sp10)(F10)(Sp11)
{/slides} {slide= MATH 141 (Calculus II)|noscroll|closed} Text(s):
Calculus, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-1-1-3343675-1 (New Custom Edition Fall 2011) (Current) (F11)
Calculus Student Solutions Manual, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-0-7-5933177-8 (OPTIONAL) (Current)
(F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) (F09) (Sp10)(F10)(Sp11) (F11)
Calculus, 6th Edition, by R. Ellis and D. Gulick. Published by Thomson Learning. ISBN: 978-0-7-5931379-8 (F06)(Sp07)(F07)(Sp08) (Sum08)
(F08)(Sp09)(Sum09) (F09)(Sp10)(F10)(Sp11)
{/slides} {slide= MATH 141H (Calculus II Honors)|noscroll|closed} Text(s):
Calculus, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-1-1-3343675-1 (New Custom Edition Fall 2011) (Current) (F11)
Calculus Student Solutions Manual, by R. Ellis and D. Gulick. Published by CENGAGE Learning. ISBN: 978-0-7-5933177-8 (OPTIONAL) (Current)
(F06)(Sp07)(F07)(Sp08) (Sum08) (F08)(Sp09)(Sum09) (F09) (Sp10)(F10)(Sp11) (F11)
Calculus, 6th Edition, by R. Ellis and D. Gulick. Published by Thomson Learning. ISBN: 978-0-7-5931379-8 (F06)(Sp07)(F07)(Sp08) (Sum08)
(F08)(Sp09)(Sum09) (F09)(Sp10)(F10)(Sp11)
{/slides} {slide= MATH 206 (Introduction to MATLAB)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 212 (Elements of Numbers and Operations)|noscroll|closed} Text(s):
Mathematics for Elementary School Teachers, (New Custom 3rd Edition) by Beckmann, Published by Addison Wesley. ISBN: 0321654277 (New Custom 3rd Edition Bundle Set) (Current) (F10) (Sp11) (F11)
Mathematics for Elementary School Teachers, (Bundle Set) by Beckmann, Published by Addison Wesley. ISBN: 0321447174 (F06)(Sp07) (F07)(Sp08) (Sum08)(F08)(Sp09)(Sum09) (F09)(Sp10)
{/slides} {slide= MATH 213 (Elements of Geometry and Measurement)|noscroll|closed} Text(s):
Mathematics for Elementary School Teachers, (New Custom 3rd Edition) by Beckmann, Published by Addison Wesley. ISBN: 0321646967 (Current) (Sp11) (F11)
Mathematics for Elementary School Teachers, (Bundle Set) by Beckmann, Published by Addison Wesley. ISBN: 0321447174 (F06) (Sp07)(F07) (Sp08) (Sum08)(F08)(Sp09)(Sum09) (F09)(Sp10)(F10)
{/slides} {slide= MATH 214 (Elements of Probability and Statistics)|noscroll|closed} Text(s):
Intro Stats, 3rd Ed., by Deveaux, Velleman & Bock. Published by Addison Wesley. ISBN: 0321500458 (New Custom Ed.) (Current) (F08) (Sp09)(F09)(Sp10)(F10)(Sp11) (F11)
Mathematics for Elementary Teachers Activities Manual, (New Custom 3rd Edition) by Beckmann. Published by Addison Wesley. ISBN: 0321449762 (Current) (Sp11) (F11)
Mathematics for Elementary Teachers Activities Manual, (New Custom Edition) by Beckmann. Published by Addison Wesley. ISBN: 0321449762 (F06)(Sp07)(F07)(Sp08) (F08)(Sp09)(F09)(Sp10)(F10)
Statistical Reasoning for Everyday Life, 2nd Ed., by Bennett, Briggs, Triola. Published by Addison Wesley. ISBN: 0201771284(F06) (Sp07)(F07)(Sp08)
Student Solutions Manual for Statistical Reasoning, etc. ISBN: 020183846X (F06)(Sp07) (F07) (Sp08)
{/slides} {slide= MATH 220 (Elementary Calculus I)|noscroll|closed} Text(s):
Calculus and its Applications, (New 12th Edition Bundle Set) by Goldstein, D. Lay and D. Schneider. Published by Prentice Hall. ISBN: 0321643658 (Current) (F09) (Sp10)(F10)(Sp11) (F11)
Calculus and its Applications, 11th Edition, by Goldstein, D. Lay, and D. Schneider. Published by Prentice Hall, 2004. ISBN: 0131746251 (Current)(F06)(Sp07)(F07)(Sp08) (Sum08)(F08) (Sp09) (Sum09)
Study Guide with Selected Applications and Visual Calculus, 11th Edition, by D. Lay and D. Schneider. Published by Prentice-Hall, 2004. (bundle with textbook) (Current)(F06)(Sp07)(F07) (Sp08) (Sum08)(F08)(Sp09) (Sum09)
{/slides} {slide= MATH 221 (Elementary Calculus II)|noscroll|closed} Text(s):
Calculus and its Applications, (New 12th Edition Bundle Set) by Goldstein, D. Lay and D. Schneider. Published by Prentice Hall. ISBN: 0321643658 (Current) (Sp10)(F10)(Sp11) (F11)
Calculus and its Applications, 11th Edition, by Goldstein, D. Lay, and D. Schneider. Published by Prentice-Hall, 2004. ISBN: 0131746251 (Sp07)(F07) (Sp08) (Sum08)(F08)(Sp09)(Sum09) (F09)
Study Guide with Selected Applications and Visual Calculus, 11th Edition, by D. Lay and D. Schneider. Published by Prentice-Hall, 2004. (bundle with textbook) (Sp07) (F07) (Sp08) (Sum08) (F08) (Sp09) (Sum09) (F09)
{/slides} {slide= MATH 240 (Introduction to Linear Algebra)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 241 (Calculus III)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 241H (Calculus III)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 242 (Numerical Techniques in Engineering)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= MATH 246 (Differential Equations for Scientists and Engineers)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 274 (History of Mathematics)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 307 (A Condensed Introduction to Analysis)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 310 (Introduction to Analysis )|noscroll|closed} Stuff in slide {/slides} {slide= MATH 340 (Multivariable Calculus, Linear Algebra & Differential Equations I: Honors)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 341 (Multivariable Calculus, Linear Algebra & Differential Equations II: Honors)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 350 and 351 (Honors Analysis I and II)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= MATH 400 (Vectors and Matrices)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= MATH 401 (Applications of Linear Algebra)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 402 (Algebraic Structures)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 403 (Abstract Algebra)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 404 (Field Theory)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 405 (Linear Algebra)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 406 (Introduction to Number Theory)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 410 (Advanced Calculus I)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 411 (Advanced Calculus II)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 412 (Advanced Calculus with Applications)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 414 (Ordinary Differential Equations)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 416 (Applied Harmonic Analysis: An Introduction to Signal Processing)|noscroll|closed} Stuff in slide {/slides} {slide= MATH/AMSC 420 (Mathematical Modeling)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 424 (Introduction to the Mathematics of Finance)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 430 (Euclidean and Non-Euclidean Geometries)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 431 (Geometry for Computer Graphics)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 432 (Introduction to Topology)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 436 (Differential Geometry of Curves and Surfaces I)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 437 (Diffential Forms and their Applications) (previously "Differential Geometry of Curves and Surfaces II")|noscroll|closed} Stuff in slide {/slides} {slide= MATH 445 (Elementary Mathematical Logic)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 446 (Axiomatic Set Theory)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 447 (Introduction to Mathematical Logic)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= MATH 450 (Logic for Computer Science)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= MATH/AMSC 452 (Introduction to Dynamics and Chaos)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 456 (Cryptology)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 461 (Linear Algebra for Scientists and Engineers)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 462 (Partial Differential Equations for Scientists and Engineers)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 463 (Complex Variables for Scientists and Engineers)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 464 (Transform Methods for Scientists and Engineers)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 470 (Mathematics for Secondary Education)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 475 (Combinatorics and Graph Theory)|noscroll|closed} Stuff in slide {/slides} {slide= MATH 489 (Research Interactions in Mathematics)|noscroll|closed} Stuff in slide {/slides}
STAT (Probability/Statistics) Courses
{slide= STAT 100 (Elementary Statistics and Probability)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 400 (Applied Probability and Statistics I)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 401 (Applied Probability and Statistics II)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 405 (Stochastic Models for Queues and Networks)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= STAT 410 (Introduction to Probability Theory)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 420 (Introduction to Statistics)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 430 (Introduction to Statistical Computing with SAS)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 440 (Sampling Theory)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 450 (Regression and Variance Analysis)[No longer offered]|noscroll|closed} Stuff in slide {/slides} {slide= STAT 464 (Introduction to Biostatistics)|noscroll|closed} Stuff in slide {/slides} {slide= STAT 470 (Actuarial Mathematics)|noscroll|closed} Stuff in slide {/slides}
AMSC (Applied Math) Courses
{slide= MATH/AMSC 420 (Mathematical Modeling)|noscroll|closed} Stuff in slide {/slides} {slide= MATH/AMSC 452 (Introduction to Dynamics and Chaos)|noscroll|closed} Stuff in slide {/slides} {slide= AMSC 460 (Computational Methods)|noscroll|closed} Stuff in slide {/slides} {slide= AMSC 466 (Introduction to Numerical Analysis)|noscroll|closed} Stuff in slide {/slides} {slide= AMSC 477 (Optimization)[No longer offered]|noscroll|closed} Stuff in slide {/slides}